BuildingMotif

Load Tables

We need the licensed version of Netica for this exercise.

Link to the google sheet with the model.

And download the sheets.

netman <- read_sheet(sheetID,"Nets")
✔ Reading from "FullACED".
✔ Range ''Nets''.
nodeman <- read_sheet(sheetID,"Nodes")
✔ Reading from "FullACED".
✔ Range ''Nodes''.
omega <- read_sheet(sheetID,"Omega")
✔ Reading from "FullACED".
✔ Range ''Omega''.
QQ <- read_sheet(sheetID,"Q")
✔ Reading from "FullACED".
✔ Range ''Q''.
stats <- read_sheet(sheetID,"Statistics")
✔ Reading from "FullACED".
✔ Range ''Statistics''.

Build Networks

Build the warehouses.

Nethouse <- PNetica::BNWarehouse(manifest=netman,session=sess,
                                 address=file.path("fullACED"),
                                 key="Name")
Nodehouse <- PNetica::NNWarehouse(manifest=nodeman,
                                  key=c("Model","NodeName"),
                                  session=sess)

Process the Omega matrix and build the competency model. Note, read_sheet() returns a tibble, and Omega2Pnet() requires a data frame.

CM <- WarehouseSupply(Nethouse,"GeometricOnly")
CM <- Omega2Pnet(as.data.frame(omega),CM,Nodehouse,override=TRUE)
INFO [2026-10-13 14:14:47] Proficiency variables are

 [1] "SolveSequenceProblems"   "SolveGeometricProblems" 
 [3] "CommonRatio"             "ExamplesGeometric"      
 [5] "ExtendGeometric"         "TableGeometric"         
 [7] "ModelGeometric"          "VisualGeometric"        
 [9] "InduceRulesGeometric"    "AlgebraRulesGeometric"  
[11] "RecursiveRulesGeometric" "VerbalRulesGeometric"   
[13] "ExplicitGeometric"       "DistinguishTypes"       
INFO [2026-10-13 14:14:47] Building list of nodes.
INFO [2026-10-13 14:14:47] Processing links.
INFO [2026-10-13 14:14:47] Processing CPTs.
INFO [2026-10-13 14:14:47] While Building CPTs for node: SolveSequenceProblems, INFO:  WARN [2026-10-13 14:14:47] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:14:47] While Building CPTs for node: SolveSequenceProblems, FATAL ERROR:  invalid subscript type 'list'

Process the Q-matrix and build evidence models. Again, need to convert tibble to data frame.

Qmat2Pnet(as.data.frame(QQ),Nethouse,Nodehouse,override=TRUE)
INFO [2026-10-13 14:14:47] Proficiency variables:

 [1] "SolveSequenceProblems"   "SolveGeometricProblems" 
 [3] "CommonRatio"             "ExamplesGeometric"      
 [5] "ExtendGeometric"         "TableGeometric"         
 [7] "ModelGeometric"          "ExplicitGeometric"      
 [9] "VisualGeometric"         "InduceRulesGeometric"   
[11] "RecursiveRulesGeometric" "AlgebraRulesGeometric"  
[13] "VerbalRulesGeometric"    "DistinguishTypes"       
INFO [2026-10-13 14:14:47] Processing net commonRatioEasy
INFO [2026-10-13 14:14:47] Processing node isCorrect in net commonRatioEasy
INFO [2026-10-13 14:14:47] Processing net commonRatioHard
INFO [2026-10-13 14:14:47] Processing node isCorrect in net commonRatioHard
INFO [2026-10-13 14:14:47] Processing net commonRatioMedium
INFO [2026-10-13 14:14:47] Processing node isCorrect in net commonRatioMedium
INFO [2026-10-13 14:14:47] Processing net examplesGeometricEasy
INFO [2026-10-13 14:14:47] Processing node isCorrect in net examplesGeometricEasy
INFO [2026-10-13 14:14:47] Processing net examplesGeometricHard
INFO [2026-10-13 14:14:47] Processing node isCorrect in net examplesGeometricHard
INFO [2026-10-13 14:14:48] Processing net examplesGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net examplesGeometricMedium
INFO [2026-10-13 14:14:48] Processing net explicitGeometricEasy
INFO [2026-10-13 14:14:48] Processing node isCorrect in net explicitGeometricEasy
INFO [2026-10-13 14:14:48] Processing net explicitGeometricHard
INFO [2026-10-13 14:14:48] Processing node isCorrect in net explicitGeometricHard
INFO [2026-10-13 14:14:48] Processing net explicitGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net explicitGeometricMedium
INFO [2026-10-13 14:14:48] Processing net extendGeometricEasy
INFO [2026-10-13 14:14:48] Processing node isCorrect in net extendGeometricEasy
INFO [2026-10-13 14:14:48] Processing net extendGeometricHard
INFO [2026-10-13 14:14:48] Processing node isCorrect in net extendGeometricHard
INFO [2026-10-13 14:14:48] Processing net extendGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net extendGeometricMedium
INFO [2026-10-13 14:14:48] Processing net modelExtendTableGeometricEasy
INFO [2026-10-13 14:14:48] Processing node isCorrect in net modelExtendTableGeometricEasy
INFO [2026-10-13 14:14:48] Processing net modelExtendTableGeometricHard
INFO [2026-10-13 14:14:48] Processing node isCorrect in net modelExtendTableGeometricHard
INFO [2026-10-13 14:14:48] Processing net modelExtendTableGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net modelExtendTableGeometricMedium
INFO [2026-10-13 14:14:48] Processing net recursiveRuleGeometricEasy
INFO [2026-10-13 14:14:48] Processing node isCorrect in net recursiveRuleGeometricEasy
INFO [2026-10-13 14:14:48] Processing net recursiveRuleGeometricHard
INFO [2026-10-13 14:14:48] Processing node isCorrect in net recursiveRuleGeometricHard
INFO [2026-10-13 14:14:48] Processing net recursiveRuleGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net recursiveRuleGeometricMedium
INFO [2026-10-13 14:14:48] Processing net solveGeometricProblemsEasy
INFO [2026-10-13 14:14:48] Processing node isCorrect in net solveGeometricProblemsEasy
INFO [2026-10-13 14:14:48] Processing net solveGeometricProblemsHard
INFO [2026-10-13 14:14:48] Processing node isCorrect in net solveGeometricProblemsHard
INFO [2026-10-13 14:14:48] Processing net solveGeometricProblemsMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net solveGeometricProblemsMedium
INFO [2026-10-13 14:14:48] Processing net tableExtendGeometricEasy
INFO [2026-10-13 14:14:48] Processing node isCorrect in net tableExtendGeometricEasy
INFO [2026-10-13 14:14:48] Processing net tableExtendGeometricHard
INFO [2026-10-13 14:14:48] Processing node isCorrect in net tableExtendGeometricHard
INFO [2026-10-13 14:14:48] Processing net tableExtendGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net tableExtendGeometricMedium
INFO [2026-10-13 14:14:48] Processing net verbalRuleExplicitModelGeometricHard
INFO [2026-10-13 14:14:48] Processing node isCorrect in net verbalRuleExplicitModelGeometricHard
INFO [2026-10-13 14:14:48] Processing net verbalRuleExplicitModelGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net verbalRuleExplicitModelGeometricMedium
INFO [2026-10-13 14:14:48] Processing net verbalRuleExtendModelGeometricEasy
INFO [2026-10-13 14:14:48] Processing node isCorrect in net verbalRuleExtendModelGeometricEasy
INFO [2026-10-13 14:14:48] Processing net verbalRuleExtendModelGeometricMedium
INFO [2026-10-13 14:14:48] Processing node isCorrect in net verbalRuleExtendModelGeometricMedium
INFO [2026-10-13 14:14:48] Processing net verbalRuleModelGeometricHard
INFO [2026-10-13 14:14:49] Processing node isCorrect in net verbalRuleModelGeometricHard
INFO [2026-10-13 14:14:49] Processing net visualExplicitVerbalRuleModelGeometricHard
INFO [2026-10-13 14:14:49] Processing node isCorrect in net visualExplicitVerbalRuleModelGeometricHard
INFO [2026-10-13 14:14:49] Processing net visualExtendGeometricEasy
INFO [2026-10-13 14:14:49] Processing node isCorrect in net visualExtendGeometricEasy
INFO [2026-10-13 14:14:49] Processing net visualExtendGeometricHard
INFO [2026-10-13 14:14:49] Processing node isCorrect in net visualExtendGeometricHard
INFO [2026-10-13 14:14:49] Processing net visualExtendGeometricMedium
INFO [2026-10-13 14:14:49] Processing node isCorrect in net visualExtendGeometricMedium
INFO [2026-10-13 14:14:49] Processing net visualExtendTableModelVerbalRuleGeometricMedium
INFO [2026-10-13 14:14:49] Processing node isCorrect in net visualExtendTableModelVerbalRuleGeometricMedium
INFO [2026-10-13 14:14:49] Processing net visualExtendVerbalRuleModelGeometricMedium
INFO [2026-10-13 14:14:49] Processing node isCorrect in net visualExtendVerbalRuleModelGeometricMedium

Write out the networks.

for (name in netman$Name) {
  if (nchar(name)>0L) {
    net <- WarehouseSave(Nethouse,name)
  }
}

Now build Motif

Get names of items.

items <- read.csv("data/allItems.csv")
itemnames <- names(items)[-(1:3)]

Need to create mapping from items to evidence models. Also, need to shorten item names for Netica.

emnames <- itemnames
subs <- c("^tC"="c","^tE"="e","^tM"="m","^tR"="r","^tS"="s",
          "^tT"="t","^tV"="v","1[a-f]$"="Easy","2[a-f]$"="Medium",
          "3[a-f]$"="Hard")
for (i in 1:length(subs)) {
  emnames <- sub(names(subs)[i],subs[i],emnames)
}
nodenames <- itemnames
subs1 <- c("Geometric"="Geo","Verbal"="Verb","Explicit"="Expl",
           "Visual"="Vis","Extend"="Ext","Model"="Mod")
for (i in 1:length(subs1)) {
  nodenames <- sub(names(subs1)[i],subs1[i],nodenames)
}
nodenames <- as.IDname(nodenames)
correspondence <- data.frame(itemnames,nodenames,emnames)
correspondence
                                      itemnames                 nodenames
1                                tCommonRatio1a            tCommonRatio1a
2                                tCommonRatio1b            tCommonRatio1b
3                                tCommonRatio2a            tCommonRatio2a
4                                tCommonRatio2b            tCommonRatio2b
5                                tCommonRatio3a            tCommonRatio3a
6                                tCommonRatio3b            tCommonRatio3b
7                          tExamplesGeometric1a            tExamplesGeo1a
8                          tExamplesGeometric1b            tExamplesGeo1b
9                          tExamplesGeometric2a            tExamplesGeo2a
10                         tExamplesGeometric2b            tExamplesGeo2b
11                         tExamplesGeometric3a            tExamplesGeo3a
12                         tExamplesGeometric3b            tExamplesGeo3b
13                         tExplicitGeometric1a                tExplGeo1a
14                         tExplicitGeometric1b                tExplGeo1b
15                         tExplicitGeometric2a                tExplGeo2a
16                         tExplicitGeometric2b                tExplGeo2b
17                         tExplicitGeometric3a                tExplGeo3a
18                         tExplicitGeometric3b                tExplGeo3b
19                           tExtendGeometric1a                 tExtGeo1a
20                           tExtendGeometric1c                 tExtGeo1c
21                           tExtendGeometric2a                 tExtGeo2a
22                           tExtendGeometric2c                 tExtGeo2c
23                           tExtendGeometric3a                 tExtGeo3a
24                           tExtendGeometric3b                 tExtGeo3b
25                 tModelExtendTableGeometric1a         tModExtTableGeo1a
26                 tModelExtendTableGeometric1b         tModExtTableGeo1b
27                 tModelExtendTableGeometric2a         tModExtTableGeo2a
28                 tModelExtendTableGeometric2b         tModExtTableGeo2b
29                 tModelExtendTableGeometric3a         tModExtTableGeo3a
30                 tModelExtendTableGeometric3b         tModExtTableGeo3b
31                    tRecursiveRuleGeometric1a       tRecursiveRuleGeo1a
32                    tRecursiveRuleGeometric1b       tRecursiveRuleGeo1b
33                    tRecursiveRuleGeometric2a       tRecursiveRuleGeo2a
34                    tRecursiveRuleGeometric2b       tRecursiveRuleGeo2b
35                    tRecursiveRuleGeometric3a       tRecursiveRuleGeo3a
36                    tRecursiveRuleGeometric3b       tRecursiveRuleGeo3b
37                    tSolveGeometricProblems1a       tSolveGeoProblems1a
38                    tSolveGeometricProblems1b       tSolveGeoProblems1b
39                    tSolveGeometricProblems2a       tSolveGeoProblems2a
40                    tSolveGeometricProblems2b       tSolveGeoProblems2b
41                    tSolveGeometricProblems3a       tSolveGeoProblems3a
42                    tSolveGeometricProblems3b       tSolveGeoProblems3b
43                      tTableExtendGeometric1a            tTableExtGeo1a
44                      tTableExtendGeometric1b            tTableExtGeo1b
45                      tTableExtendGeometric2a            tTableExtGeo2a
46                      tTableExtendGeometric2b            tTableExtGeo2b
47                      tTableExtendGeometric3a            tTableExtGeo3a
48                      tTableExtendGeometric3b            tTableExtGeo3b
49          tVerbalRuleExplicitModelGeometric2a     tVerbRuleExplModGeo2a
50          tVerbalRuleExplicitModelGeometric3a     tVerbRuleExplModGeo3a
51            tVerbalRuleExtendModelGeometric1a      tVerbRuleExtModGeo1a
52            tVerbalRuleExtendModelGeometric1b      tVerbRuleExtModGeo1b
53            tVerbalRuleExtendModelGeometric2a      tVerbRuleExtModGeo2a
54                  tVerbalRuleModelGeometric3a         tVerbRuleModGeo3a
55    tVisualExplicitVerbalRuleModelGeometric3a  tVisExplVerbRuleModGeo3a
56    tVisualExplicitVerbalRuleModelGeometric3b  tVisExplVerbRuleModGeo3b
57                     tVisualExtendGeometric1a              tVisExtGeo1a
58                     tVisualExtendGeometric1b              tVisExtGeo1b
59                     tVisualExtendGeometric1c              tVisExtGeo1c
60                     tVisualExtendGeometric2a              tVisExtGeo2a
61                     tVisualExtendGeometric3a              tVisExtGeo3a
62 tVisualExtendTableModelVerbalRuleGeometric2a tVisExtTableModVerbRul_39
63      tVisualExtendVerbalRuleModelGeometric2a   tVisExtVerbRuleModGeo2a
                                           emnames
1                                  commonRatioEasy
2                                  commonRatioEasy
3                                commonRatioMedium
4                                commonRatioMedium
5                                  commonRatioHard
6                                  commonRatioHard
7                            examplesGeometricEasy
8                            examplesGeometricEasy
9                          examplesGeometricMedium
10                         examplesGeometricMedium
11                           examplesGeometricHard
12                           examplesGeometricHard
13                           explicitGeometricEasy
14                           explicitGeometricEasy
15                         explicitGeometricMedium
16                         explicitGeometricMedium
17                           explicitGeometricHard
18                           explicitGeometricHard
19                             extendGeometricEasy
20                             extendGeometricEasy
21                           extendGeometricMedium
22                           extendGeometricMedium
23                             extendGeometricHard
24                             extendGeometricHard
25                   modelExtendTableGeometricEasy
26                   modelExtendTableGeometricEasy
27                 modelExtendTableGeometricMedium
28                 modelExtendTableGeometricMedium
29                   modelExtendTableGeometricHard
30                   modelExtendTableGeometricHard
31                      recursiveRuleGeometricEasy
32                      recursiveRuleGeometricEasy
33                    recursiveRuleGeometricMedium
34                    recursiveRuleGeometricMedium
35                      recursiveRuleGeometricHard
36                      recursiveRuleGeometricHard
37                      solveGeometricProblemsEasy
38                      solveGeometricProblemsEasy
39                    solveGeometricProblemsMedium
40                    solveGeometricProblemsMedium
41                      solveGeometricProblemsHard
42                      solveGeometricProblemsHard
43                        tableExtendGeometricEasy
44                        tableExtendGeometricEasy
45                      tableExtendGeometricMedium
46                      tableExtendGeometricMedium
47                        tableExtendGeometricHard
48                        tableExtendGeometricHard
49          verbalRuleExplicitModelGeometricMedium
50            verbalRuleExplicitModelGeometricHard
51              verbalRuleExtendModelGeometricEasy
52              verbalRuleExtendModelGeometricEasy
53            verbalRuleExtendModelGeometricMedium
54                    verbalRuleModelGeometricHard
55      visualExplicitVerbalRuleModelGeometricHard
56      visualExplicitVerbalRuleModelGeometricHard
57                       visualExtendGeometricEasy
58                       visualExtendGeometricEasy
59                       visualExtendGeometricEasy
60                     visualExtendGeometricMedium
61                       visualExtendGeometricHard
62 visualExtendTableModelVerbalRuleGeometricMedium
63      visualExtendVerbalRuleModelGeometricMedium

Create an EM for each item and add it to a copy of the competency model. Rename the isCorrect to be the nodename.

if (exists("ACEDmotif") && 
    !is.null(WarehouseFetch(Nethouse,"ACEDmotif"))) {
  WarehouseFree(Nethouse,"ACEDmotif")
}
ACEDmotif <- WarehouseCopy(Nethouse,CM,"ACEDmotif")
for (iem in 1:nrow(correspondence)) {
  em <- WarehouseFetch(Nethouse,correspondence[iem,"emnames"])
  obs <- PnetAdjoin(ACEDmotif,em)
  PnodeName(obs[[1]]) <- correspondence[iem,"nodenames"]
}
names(PnetPnodes(ACEDmotif))
 [1] "tRecursiveRuleGeo3b"       "tRecursiveRuleGeo3a"      
 [3] "tRecursiveRuleGeo2b"       "tRecursiveRuleGeo2a"      
 [5] "tRecursiveRuleGeo1b"       "tRecursiveRuleGeo1a"      
 [7] "tExplGeo3b"                "tExplGeo3a"               
 [9] "tExplGeo2b"                "tExplGeo2a"               
[11] "tExplGeo1b"                "tExplGeo1a"               
[13] "RecursiveRulesGeometric"   "tVisExplVerbRuleModGeo3b" 
[15] "tVisExplVerbRuleModGeo3a"  "tVerbRuleModGeo3a"        
[17] "tVerbRuleExplModGeo3a"     "tVerbRuleExplModGeo2a"    
[19] "ExplicitGeometric"         "AlgebraRulesGeometric"    
[21] "tVisExtVerbRuleModGeo2a"   "tVisExtTableModVerbRul_39"
[23] "tVisExtGeo3a"              "tVisExtGeo2a"             
[25] "tVisExtGeo1c"              "tVisExtGeo1b"             
[27] "tVisExtGeo1a"              "tVerbRuleExtModGeo2a"     
[29] "tVerbRuleExtModGeo1b"      "tVerbRuleExtModGeo1a"     
[31] "VerbalRulesGeometric"      "tTableExtGeo3b"           
[33] "tTableExtGeo3a"            "tTableExtGeo2b"           
[35] "tTableExtGeo2a"            "tTableExtGeo1b"           
[37] "tTableExtGeo1a"            "tModExtTableGeo3b"        
[39] "tModExtTableGeo3a"         "tModExtTableGeo2b"        
[41] "tModExtTableGeo2a"         "tModExtTableGeo1b"        
[43] "tModExtTableGeo1a"         "tExtGeo3b"                
[45] "tExtGeo3a"                 "tExtGeo2c"                
[47] "tExtGeo2a"                 "tExtGeo1c"                
[49] "tExtGeo1a"                 "tExamplesGeo3b"           
[51] "tExamplesGeo3a"            "tExamplesGeo2b"           
[53] "tExamplesGeo2a"            "tExamplesGeo1b"           
[55] "tExamplesGeo1a"            "tCommonRatio3b"           
[57] "tCommonRatio3a"            "tCommonRatio2b"           
[59] "tCommonRatio2a"            "tCommonRatio1b"           
[61] "tCommonRatio1a"            "tSolveGeoProblems3b"      
[63] "tSolveGeoProblems3a"       "tSolveGeoProblems2b"      
[65] "tSolveGeoProblems2a"       "tSolveGeoProblems1b"      
[67] "tSolveGeoProblems1a"       "InduceRulesGeometric"     
[69] "VisualGeometric"           "ModelGeometric"           
[71] "TableGeometric"            "ExtendGeometric"          
[73] "ExamplesGeometric"         "CommonRatio"              
[75] "DistinguishTypes"          "SolveGeometricProblems"   
[77] "SolveSequenceProblems"    
PnetPathname(ACEDmotif) <- "fullACED/ACEDmotif.dne"
WarehouseSave(Nethouse,ACEDmotif)
PnetCompile(ACEDmotif)
RNetica::JunctionTreeReport(ACEDmotif)
 [1] "Clique [Joined To]  Size   Member nodes (* means home)"                                                                                        
 [2] " 0  [1 2]            729  (SolveGeometricProblems, *ExtendGeometric, *TableGeometric, ModelGeometric, VisualGeometric, VerbalRulesGeometric)"  
 [3] " 1  [0 8 9 12]       486  (*tVisExtTableModVerbRul_39, ExtendGeometric, TableGeometric, ModelGeometric, VisualGeometric, VerbalRulesGeometric)"
 [4] " 2  [0 3 5]          243  (ExplicitGeometric, SolveGeometricProblems, *ModelGeometric, *VisualGeometric, VerbalRulesGeometric)"                
 [5] " 3  [2 4]            162  (*tVisExplVerbRuleModGeo3b, ExplicitGeometric, ModelGeometric, VisualGeometric, VerbalRulesGeometric)"               
 [6] " 4  [3 6]            162  (*tVisExplVerbRuleModGeo3a, ExplicitGeometric, ModelGeometric, VisualGeometric, VerbalRulesGeometric)"               
 [7] " 5  [2 18 32]         81  (*InduceRulesGeometric, ExplicitGeometric, SolveGeometricProblems, *VerbalRulesGeometric)"                           
 [8] " 6  [4 7]             54  (*tVerbRuleExplModGeo3a, ExplicitGeometric, ModelGeometric, VerbalRulesGeometric)"                                   
 [9] " 7  [6]               54  (*tVerbRuleExplModGeo2a, ExplicitGeometric, ModelGeometric, VerbalRulesGeometric)"                                   
[10] " 8  [1 20]            54  (*tVisExtVerbRuleModGeo2a, ExtendGeometric, VisualGeometric, VerbalRulesGeometric)"                                  
[11] " 9  [1 10]            54  (*tVerbRuleExtModGeo2a, ExtendGeometric, ModelGeometric, VerbalRulesGeometric)"                                      
[12] "10  [9 11]            54  (*tVerbRuleExtModGeo1b, ExtendGeometric, ModelGeometric, VerbalRulesGeometric)"                                      
[13] "11  [10 19]           54  (*tVerbRuleExtModGeo1a, ExtendGeometric, ModelGeometric, VerbalRulesGeometric)"                                      
[14] "12  [1 13]            54  (*tModExtTableGeo3b, ExtendGeometric, TableGeometric, ModelGeometric)"                                               
[15] "13  [12 14]           54  (*tModExtTableGeo3a, ExtendGeometric, TableGeometric, ModelGeometric)"                                               
[16] "14  [13 15]           54  (*tModExtTableGeo2b, ExtendGeometric, TableGeometric, ModelGeometric)"                                               
[17] "15  [14 16]           54  (*tModExtTableGeo2a, ExtendGeometric, TableGeometric, ModelGeometric)"                                               
[18] "16  [15 17]           54  (*tModExtTableGeo1b, ExtendGeometric, TableGeometric, ModelGeometric)"                                               
[19] "17  [16 25]           54  (*tModExtTableGeo1a, ExtendGeometric, TableGeometric, ModelGeometric)"                                               
[20] "18  [5 31 42]         27  (*AlgebraRulesGeometric, InduceRulesGeometric, *ExplicitGeometric)"                                                  
[21] "19  [11]              18  (*tVerbRuleModGeo3a, ModelGeometric, VerbalRulesGeometric)"                                                          
[22] "20  [8 21]            18  (*tVisExtGeo3a, ExtendGeometric, VisualGeometric)"                                                                   
[23] "21  [20 22]           18  (*tVisExtGeo2a, ExtendGeometric, VisualGeometric)"                                                                   
[24] "22  [21 23]           18  (*tVisExtGeo1c, ExtendGeometric, VisualGeometric)"                                                                   
[25] "23  [22 24]           18  (*tVisExtGeo1b, ExtendGeometric, VisualGeometric)"                                                                   
[26] "24  [23]              18  (*tVisExtGeo1a, ExtendGeometric, VisualGeometric)"                                                                   
[27] "25  [17 26]           18  (*tTableExtGeo3b, ExtendGeometric, TableGeometric)"                                                                  
[28] "26  [25 27]           18  (*tTableExtGeo3a, ExtendGeometric, TableGeometric)"                                                                  
[29] "27  [26 28]           18  (*tTableExtGeo2b, ExtendGeometric, TableGeometric)"                                                                  
[30] "28  [27 29]           18  (*tTableExtGeo2a, ExtendGeometric, TableGeometric)"                                                                  
[31] "29  [28 30]           18  (*tTableExtGeo1b, ExtendGeometric, TableGeometric)"                                                                  
[32] "30  [29 48]           18  (*tTableExtGeo1a, ExtendGeometric, TableGeometric)"                                                                  
[33] "31  [18 36]            9  (*RecursiveRulesGeometric, AlgebraRulesGeometric)"                                                                   
[34] "32  [5 33 54]          9  (*ExamplesGeometric, SolveGeometricProblems)"                                                                        
[35] "33  [32 34 60]         9  (*CommonRatio, SolveGeometricProblems)"                                                                              
[36] "34  [33 35]            9  (*SolveSequenceProblems, *SolveGeometricProblems)"                                                                   
[37] "35  [34 66]            9  (*DistinguishTypes, SolveSequenceProblems)"                                                                          
[38] "36  [31 37]            6  (*tRecursiveRuleGeo3b, RecursiveRulesGeometric)"                                                                     
[39] "37  [36 38]            6  (*tRecursiveRuleGeo3a, RecursiveRulesGeometric)"                                                                     
[40] "38  [37 39]            6  (*tRecursiveRuleGeo2b, RecursiveRulesGeometric)"                                                                     
[41] "39  [38 40]            6  (*tRecursiveRuleGeo2a, RecursiveRulesGeometric)"                                                                     
[42] "40  [39 41]            6  (*tRecursiveRuleGeo1b, RecursiveRulesGeometric)"                                                                     
[43] "41  [40]               6  (*tRecursiveRuleGeo1a, RecursiveRulesGeometric)"                                                                     
[44] "42  [18 43]            6  (*tExplGeo3b, ExplicitGeometric)"                                                                                    
[45] "43  [42 44]            6  (*tExplGeo3a, ExplicitGeometric)"                                                                                    
[46] "44  [43 45]            6  (*tExplGeo2b, ExplicitGeometric)"                                                                                    
[47] "45  [44 46]            6  (*tExplGeo2a, ExplicitGeometric)"                                                                                    
[48] "46  [45 47]            6  (*tExplGeo1b, ExplicitGeometric)"                                                                                    
[49] "47  [46]               6  (*tExplGeo1a, ExplicitGeometric)"                                                                                    
[50] "48  [30 49]            6  (*tExtGeo3b, ExtendGeometric)"                                                                                       
[51] "49  [48 50]            6  (*tExtGeo3a, ExtendGeometric)"                                                                                       
[52] "50  [49 51]            6  (*tExtGeo2c, ExtendGeometric)"                                                                                       
[53] "51  [50 52]            6  (*tExtGeo2a, ExtendGeometric)"                                                                                       
[54] "52  [51 53]            6  (*tExtGeo1c, ExtendGeometric)"                                                                                       
[55] "53  [52]               6  (*tExtGeo1a, ExtendGeometric)"                                                                                       
[56] "54  [32 55]            6  (*tExamplesGeo3b, ExamplesGeometric)"                                                                                
[57] "55  [54 56]            6  (*tExamplesGeo3a, ExamplesGeometric)"                                                                                
[58] "56  [55 57]            6  (*tExamplesGeo2b, ExamplesGeometric)"                                                                                
[59] "57  [56 58]            6  (*tExamplesGeo2a, ExamplesGeometric)"                                                                                
[60] "58  [57 59]            6  (*tExamplesGeo1b, ExamplesGeometric)"                                                                                
[61] "59  [58]               6  (*tExamplesGeo1a, ExamplesGeometric)"                                                                                
[62] "60  [33 61]            6  (*tCommonRatio3b, CommonRatio)"                                                                                      
[63] "61  [60 62]            6  (*tCommonRatio3a, CommonRatio)"                                                                                      
[64] "62  [61 63]            6  (*tCommonRatio2b, CommonRatio)"                                                                                      
[65] "63  [62 64]            6  (*tCommonRatio2a, CommonRatio)"                                                                                      
[66] "64  [63 65]            6  (*tCommonRatio1b, CommonRatio)"                                                                                      
[67] "65  [64]               6  (*tCommonRatio1a, CommonRatio)"                                                                                      
[68] "66  [35 67]            6  (*tSolveGeoProblems3b, DistinguishTypes)"                                                                            
[69] "67  [66 68]            6  (*tSolveGeoProblems3a, DistinguishTypes)"                                                                            
[70] "68  [67 69]            6  (*tSolveGeoProblems2b, DistinguishTypes)"                                                                            
[71] "69  [68 70]            6  (*tSolveGeoProblems2a, DistinguishTypes)"                                                                            
[72] "70  [69 71]            6  (*tSolveGeoProblems1b, DistinguishTypes)"                                                                            
[73] "71  [70]               6  (*tSolveGeoProblems1a, DistinguishTypes)"                                                                            
[74] "Sum of clique sizes = 3015  (with sepsets = 4092)"                                                                                             
[75] ""                                                                                                                                              

Change data into a case file

onodes <- RNetica::NetworkNodesInSet(ACEDmotif,"onodes")
names(onodes)
 [1] "tRecursiveRuleGeo3b"       "tRecursiveRuleGeo3a"      
 [3] "tRecursiveRuleGeo2b"       "tRecursiveRuleGeo2a"      
 [5] "tRecursiveRuleGeo1b"       "tRecursiveRuleGeo1a"      
 [7] "tExplGeo3b"                "tExplGeo3a"               
 [9] "tExplGeo2b"                "tExplGeo2a"               
[11] "tExplGeo1b"                "tExplGeo1a"               
[13] "tVisExplVerbRuleModGeo3b"  "tVisExplVerbRuleModGeo3a" 
[15] "tVerbRuleModGeo3a"         "tVerbRuleExplModGeo3a"    
[17] "tVerbRuleExplModGeo2a"     "tVisExtVerbRuleModGeo2a"  
[19] "tVisExtTableModVerbRul_39" "tVisExtGeo3a"             
[21] "tVisExtGeo2a"              "tVisExtGeo1c"             
[23] "tVisExtGeo1b"              "tVisExtGeo1a"             
[25] "tVerbRuleExtModGeo2a"      "tVerbRuleExtModGeo1b"     
[27] "tVerbRuleExtModGeo1a"      "tTableExtGeo3b"           
[29] "tTableExtGeo3a"            "tTableExtGeo2b"           
[31] "tTableExtGeo2a"            "tTableExtGeo1b"           
[33] "tTableExtGeo1a"            "tModExtTableGeo3b"        
[35] "tModExtTableGeo3a"         "tModExtTableGeo2b"        
[37] "tModExtTableGeo2a"         "tModExtTableGeo1b"        
[39] "tModExtTableGeo1a"         "tExtGeo3b"                
[41] "tExtGeo3a"                 "tExtGeo2c"                
[43] "tExtGeo2a"                 "tExtGeo1c"                
[45] "tExtGeo1a"                 "tExamplesGeo3b"           
[47] "tExamplesGeo3a"            "tExamplesGeo2b"           
[49] "tExamplesGeo2a"            "tExamplesGeo1b"           
[51] "tExamplesGeo1a"            "tCommonRatio3b"           
[53] "tCommonRatio3a"            "tCommonRatio2b"           
[55] "tCommonRatio2a"            "tCommonRatio1b"           
[57] "tCommonRatio1a"            "tSolveGeoProblems3b"      
[59] "tSolveGeoProblems3a"       "tSolveGeoProblems2b"      
[61] "tSolveGeoProblems2a"       "tSolveGeoProblems1b"      
[63] "tSolveGeoProblems1a"      
allitemsCas <- "fullACED/allItems.cas"
if (file.exists(allitemsCas)) file.remove(allitemsCas)
[1] TRUE
for (irow in 1:nrow(items)) {
  for (jnode in 1:nrow(correspondence)) {
    node <- onodes[[correspondence[jnode,"nodenames"]]]
    value <- items[irow,correspondence[jnode,"itemnames"]]
   # print(paste(irow,node,value))
    if (!is.na(value)) {
      PnodeEvidence(node) <- ifelse(value>0,"Yes","No")
    } else {
      PnodeEvidence(node) <- NULL
    }
  }
  WriteFindings(onodes,allitemsCas)
  if ((irow%%10) == 0) print(paste("Row ",irow))
}
[1] "Row  10"
[1] "Row  20"
[1] "Row  30"
[1] "Row  40"
[1] "Row  50"
[1] "Row  60"
[1] "Row  70"
[1] "Row  80"
[1] "Row  90"
[1] "Row  100"
[1] "Row  110"
[1] "Row  120"
[1] "Row  130"
[1] "Row  140"
[1] "Row  150"
[1] "Row  160"
[1] "Row  170"
[1] "Row  180"
[1] "Row  190"
[1] "Row  200"
[1] "Row  210"
[1] "Row  220"
[1] "Row  230"

Build Statistics

stats <- as.data.frame(stats)
statlist <- lapply(1:nrow(stats), \(i) {
  Statistic(stats[i,"Fun"],stats[i,"Node"],stats[i,"Name"])
})
names(statlist) <- stats$Name

Scoring Timing Tests

fstream <- CaseFileStream(allitemsCas,session=sess)
system.time({
fstream <- ReadFindings(onodes,fstream,"FIRST")
outstats <- lapply(statlist,\(st) calcStat(st,ACEDmotif)) |>
  flattenStats()
while(!is.na(getCaseStreamPos(fstream))) {
 fstream <- ReadFindings(onodes,fstream,"NEXT")
 outstats <- rbind(outstats, {
   lapply(statlist,\(st) calcStat(st,ACEDmotif)) |>
     flattenStats()
   })
}
}) -> score_time
score_time
   user  system elapsed 
  2.611   0.034   2.646 

Parameter Learning Tests

if (exists("ACEDmotif") && 
    !is.null(WarehouseFetch(Nethouse,"ACEDmotif"))) {
  WarehouseFree(Nethouse,"ACEDmotif")
}
ACEDmotif <- ReadNetworks("fullACED/ACEDmotif.dne",session=sess)
PnetCompile(ACEDmotif)
system.time(
  fit <- GEMfit(ACEDmotif,allitemsCas,tol=.01)
) -> fit.time
INFO [2026-10-13 14:15:06] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:06] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:06] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:11] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:14] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:14] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:14] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:18] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:18] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:18] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:22] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:26] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:26] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:26] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:30] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:33] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:38] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:38] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:38] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:41] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:45] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:49] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:49] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:49] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:52] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:53] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:15:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:15:56] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:15:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:00] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:00] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:00] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:03] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:07] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:11] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:15] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:15] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:15] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:19] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:19] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:19] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:22] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:26] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:26] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:26] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:30] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:34] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:37] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:41] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:45] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:48] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:48] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:48] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:52] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:16:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:16:56] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:16:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:00] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:00] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:00] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:03] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:07] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:11] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:15] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:15] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:15] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:18] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:18] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:18] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:22] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:26] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:26] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:26] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:30] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:34] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:37] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:41] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:45] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:48] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:48] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:48] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:52] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:17:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:17:56] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:17:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:00] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:00] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:00] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:04] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:04] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:04] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:08] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:08] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:08] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:11] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:15] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:15] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:15] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:19] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:19] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:19] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:23] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:23] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:23] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:27] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:27] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:27] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:30] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:30] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:34] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:34] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:37] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:41] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:45] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:45] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:49] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:49] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:49] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:52] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:56] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:18:56] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:18:59] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:18:59] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:00] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:03] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:07] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:11] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:11] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:14] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:14] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:14] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:18] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:18] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:18] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:22] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:22] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:25] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:25] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:25] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:29] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:29] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:29] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:33] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:33] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:33] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:37] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:37] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:41] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:41] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:44] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:44] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:44] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:48] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:48] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:48] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:52] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:52] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:55] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:55] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:55] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:19:59] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:19:59] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:19:59] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:20:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:20:03] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:20:03] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:20:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:20:07] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:20:07] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:20:10] While Building CPT for node SolveSequenceProblems in net ACEDmotif, INFO:  WARN [2026-10-13 14:20:10] Alpha vector for node SolveSequenceProblems is empty.
FATAL [2026-10-13 14:20:10] While Building CPT for node SolveSequenceProblems in net ACEDmotif, FATAL ERROR:  invalid subscript type 'list'
INFO [2026-10-13 14:20:12] GEMfit converged after 82 iterations.
fit
$converged
[1] TRUE

$iter
[1] 82

$llikes
 [1] -9498.057 -7638.719 -7519.126 -7464.336 -7435.603 -7412.703 -7387.239
 [8] -7368.632 -7353.030 -7339.909 -7328.572 -7319.471 -7310.582 -7303.079
[15] -7296.055 -7289.568 -7282.723 -7276.292 -7269.650 -7263.942 -7258.231
[22] -7252.868 -7249.127 -7246.089 -7243.743 -7241.652 -7240.369 -7239.373
[29] -7238.363 -7237.687 -7237.307 -7236.564 -7235.773 -7235.214 -7234.716
[36] -7234.415 -7234.151 -7234.078 -7233.935 -7233.439 -7232.999 -7232.631
[43] -7232.271 -7232.033 -7231.804 -7231.607 -7231.497 -7230.969 -7230.172
[50] -7229.795 -7229.703 -7229.678 -7229.657 -7229.636 -7229.617 -7229.598
[57] -7229.579 -7229.562 -7229.545 -7229.484 -7229.465 -7229.448 -7229.430
[64] -7229.414 -7229.398 -7229.382 -7229.367 -7229.352 -7229.338 -7229.325
[71] -7229.311 -7229.298 -7229.286 -7229.274 -7229.262 -7229.250 -7229.239
[78] -7229.228 -7229.218 -7229.207 -7229.197 -7229.188
fit.time
   user  system elapsed 
306.228   0.800 307.145 

Write out results

profnodes <- RNetica::NetworkNodesInSet(ACEDmotif,"Proficiencies")
obsnodes <- RNetica::NetworkNodesInSet(ACEDmotif,"Evidence")
outOmega <- Pnet2Omega(ACEDmotif,profnodes)
INFO [2026-10-13 14:20:12] Proficiency variables are

  RecursiveRulesGeometric         ExplicitGeometric     AlgebraRulesGeometric 
"RecursiveRulesGeometric"       "ExplicitGeometric"   "AlgebraRulesGeometric" 
     VerbalRulesGeometric      InduceRulesGeometric           VisualGeometric 
   "VerbalRulesGeometric"    "InduceRulesGeometric"         "VisualGeometric" 
           ModelGeometric            TableGeometric           ExtendGeometric 
         "ModelGeometric"          "TableGeometric"         "ExtendGeometric" 
        ExamplesGeometric               CommonRatio          DistinguishTypes 
      "ExamplesGeometric"             "CommonRatio"        "DistinguishTypes" 
   SolveGeometricProblems     SolveSequenceProblems 
 "SolveGeometricProblems"   "SolveSequenceProblems" 
outQ <- Pnet2Qmat(obsnodes,profnodes)
INFO [2026-10-13 14:20:13] Proficiency variables are

  RecursiveRulesGeometric         ExplicitGeometric     AlgebraRulesGeometric 
"RecursiveRulesGeometric"       "ExplicitGeometric"   "AlgebraRulesGeometric" 
     VerbalRulesGeometric      InduceRulesGeometric           VisualGeometric 
   "VerbalRulesGeometric"    "InduceRulesGeometric"         "VisualGeometric" 
           ModelGeometric            TableGeometric           ExtendGeometric 
         "ModelGeometric"          "TableGeometric"         "ExtendGeometric" 
        ExamplesGeometric               CommonRatio          DistinguishTypes 
      "ExamplesGeometric"             "CommonRatio"        "DistinguishTypes" 
   SolveGeometricProblems     SolveSequenceProblems 
 "SolveGeometricProblems"   "SolveSequenceProblems" 
Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      1                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     RecursiveRulesGeometric
[1,]                    TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: RecursiveRulesGeometric 
AA[[ 1 ]] = 1.012578  B[ 1 ] =  0.06655 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                1.012578                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems        
[1,]               NA                     NA                    NA 0.06655

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      1                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     RecursiveRulesGeometric
[1,]                    TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: RecursiveRulesGeometric 
AA[[ 1 ]] = 1.120616  B[ 1 ] =  -0.05625 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                1.120616                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA -0.05625

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      1                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     RecursiveRulesGeometric
[1,]                    TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: RecursiveRulesGeometric 
AA[[ 1 ]] = 0.860708  B[ 1 ] =  -0.035 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                0.860708                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems       
[1,]               NA                     NA                    NA -0.035

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      1                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     RecursiveRulesGeometric
[1,]                    TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: RecursiveRulesGeometric 
AA[[ 1 ]] = 0.6872893  B[ 1 ] =  0.34375 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]               0.6872893                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems        
[1,]               NA                     NA                    NA 0.34375

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      1                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     RecursiveRulesGeometric
[1,]                    TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: RecursiveRulesGeometric 
AA[[ 1 ]] = 1.051271  B[ 1 ] =  -0.25515 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                1.051271                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA -0.25515

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      1                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     RecursiveRulesGeometric
[1,]                    TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: RecursiveRulesGeometric 
AA[[ 1 ]] = 0.7316156  B[ 1 ] =  0.1875 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]               0.7316156                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems       
[1,]               NA                     NA                    NA 0.1875

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExplicitGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExplicitGeometric 
AA[[ 1 ]] = 0.6094362  B[ 1 ] =  0.1797607 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA         0.6094362                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.1797607

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExplicitGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExplicitGeometric 
AA[[ 1 ]] = 0.6108104  B[ 1 ] =  0.315625 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA         0.6108104                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 0.315625

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExplicitGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExplicitGeometric 
AA[[ 1 ]] = 0.7408182  B[ 1 ] =  0.45375 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA         0.7408182                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems        
[1,]               NA                     NA                    NA 0.45375

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExplicitGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExplicitGeometric 
AA[[ 1 ]] = 0.7117703  B[ 1 ] =  0.9625 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA         0.7117703                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems       
[1,]               NA                     NA                    NA 0.9625

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExplicitGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExplicitGeometric 
AA[[ 1 ]] = 1.119072  B[ 1 ] =  -0.1175613 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA          1.119072                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA -0.1175613

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExplicitGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExplicitGeometric 
AA[[ 1 ]] = 1.044415  B[ 1 ] =  0.4891582 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA          1.044415                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.4891582

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ModelGeometric ExplicitGeometric VisualGeometric VerbalRulesGeometric
[1,]           TRUE              TRUE            TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ModelGeometric ExplicitGeometric VisualGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 1.602967 0.8243636 1.236545 0.8243636  B[ 1 ] =  0.95 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA         0.8243636                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]            0.8243636                   NA        1.236545       1.602967
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems     
[1,]               NA                     NA                    NA 0.95

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ModelGeometric ExplicitGeometric VisualGeometric VerbalRulesGeometric
[1,]           TRUE              TRUE            TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ModelGeometric ExplicitGeometric VisualGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 1.830025 0.9026369 0.8610357 0.8809355  B[ 1 ] =  0.6424635 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA         0.9026369                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]            0.8809355                   NA       0.8610357       1.830025
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.6424635

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ModelGeometric VerbalRulesGeometric
[1,]           TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ModelGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 0.4648193 1.159405  B[ 1 ] =  1.966963 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]             1.159405                   NA              NA      0.4648193
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 1.966963

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ModelGeometric ExplicitGeometric VerbalRulesGeometric
[1,]           TRUE              TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ModelGeometric ExplicitGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 1.006565 0.764559 1.139693  B[ 1 ] =  0.7375 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA          0.764559                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]             1.139693                   NA              NA       1.006565
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems       
[1,]               NA                     NA                    NA 0.7375

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       1                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ModelGeometric ExplicitGeometric VerbalRulesGeometric
[1,]           TRUE              TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ModelGeometric ExplicitGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 1.783855 0.8 1.2  B[ 1 ] =  0 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA               0.8                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                  1.2                   NA              NA       1.783855
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems  
[1,]               NA                     NA                    NA 0

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric VisualGeometric VerbalRulesGeometric
[1,]            TRUE            TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric VisualGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 1.04564 1.2 0.8  B[ 1 ] =  0 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                  0.8                   NA             1.2             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA         1.04564                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems  
[1,]               NA                     NA                    NA 0

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric ModelGeometric VisualGeometric
[1,]            TRUE           TRUE           TRUE            TRUE
     VerbalRulesGeometric
[1,]                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric ModelGeometric VisualGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 0.8 0.8 0.8 1.452546 0.9683641  B[ 1 ] =  0.6366546 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]            0.9683641                   NA        1.452546            0.8
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]            0.8             0.8                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.6366546

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric VisualGeometric
[1,]            TRUE            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric VisualGeometric 
AA[[ 1 ]] = 0.7001387 1.085805  B[ 1 ] =  1.283333 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA        1.085805             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA       0.7001387                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 1.283333

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric VisualGeometric
[1,]            TRUE            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric VisualGeometric 
AA[[ 1 ]] = 1.302002 1.2  B[ 1 ] =  0.8473873 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA             1.2             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.302002                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.8473873

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric VisualGeometric
[1,]            TRUE            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric VisualGeometric 
AA[[ 1 ]] = 1.218109 1.763359  B[ 1 ] =  0.2132609 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA        1.763359             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.218109                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.2132609

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric VisualGeometric
[1,]            TRUE            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric VisualGeometric 
AA[[ 1 ]] = 1.559805 3.942736  B[ 1 ] =  -0.9947528 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA        3.942736             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.559805                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA -0.9947528

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       1 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric VisualGeometric
[1,]            TRUE            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric VisualGeometric 
AA[[ 1 ]] = 1.069193 5.6029  B[ 1 ] =  -0.8485174 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA          5.6029             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.069193                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA -0.8485174

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric ModelGeometric VerbalRulesGeometric
[1,]            TRUE           TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric ModelGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 0.8 0.8 1.2  B[ 1 ] =  0.04462871 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                  1.2                   NA              NA            0.8
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA             0.8                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA 0.04462871

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric ModelGeometric VerbalRulesGeometric
[1,]            TRUE           TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric ModelGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 0.6298883 0.5414603 1.247055  B[ 1 ] =  0.3033074 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]             1.247055                   NA              NA      0.5414603
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA       0.6298883                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.3033074

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      1                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric ModelGeometric VerbalRulesGeometric
[1,]            TRUE           TRUE                 TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric ModelGeometric VerbalRulesGeometric 
AA[[ 1 ]] = 0.6560849 0.5838867 1.253658  B[ 1 ] =  0.2152808 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]             1.253658                   NA              NA      0.5838867
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA       0.6560849                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.2152808

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric
[1,]            TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric 
AA[[ 1 ]] = 1.032943 0.8133715  B[ 1 ] =  -0.1777778 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]      0.8133715        1.032943                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA -0.1777778

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric
[1,]            TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric 
AA[[ 1 ]] = 0.7167558 0.9849058  B[ 1 ] =  0.4382716 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]      0.9849058       0.7167558                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.4382716

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric
[1,]            TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric 
AA[[ 1 ]] = 0.8 1.2  B[ 1 ] =  0.1338861 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]            1.2             0.8                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.1338861

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric
[1,]            TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric 
AA[[ 1 ]] = 0.8 1.2  B[ 1 ] =  0.8473873 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]            1.2             0.8                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.8473873

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric
[1,]            TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric 
AA[[ 1 ]] = 0.9446848 1.210415  B[ 1 ] =  0.225003 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]       1.210415       0.9446848                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 0.225003

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric
[1,]            TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric 
AA[[ 1 ]] = 0.8144924 1.240674  B[ 1 ] =  -0.37179 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]       1.240674       0.8144924                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA -0.37179

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric ModelGeometric
[1,]            TRUE           TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric ModelGeometric 
AA[[ 1 ]] = 0.8075353 0.7398791 1.57885  B[ 1 ] =  1.031525 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA        1.57885
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]      0.7398791       0.8075353                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 1.031525

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric ModelGeometric
[1,]            TRUE           TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric ModelGeometric 
AA[[ 1 ]] = 0.8 0.8 1.2  B[ 1 ] =  1.21 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA            1.2
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]            0.8             0.8                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems     
[1,]               NA                     NA                    NA 1.21

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric ModelGeometric
[1,]            TRUE           TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric ModelGeometric 
AA[[ 1 ]] = 1.489166 1.259457 1.499793  B[ 1 ] =  0 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA       1.499793
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]       1.259457        1.489166                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems  
[1,]               NA                     NA                    NA 0

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric ModelGeometric
[1,]            TRUE           TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric ModelGeometric 
AA[[ 1 ]] = 1.474003 0.8739858 1.556223  B[ 1 ] =  0.04422619 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA       1.556223
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]      0.8739858        1.474003                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA 0.04422619

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric ModelGeometric
[1,]            TRUE           TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric ModelGeometric 
AA[[ 1 ]] = 1.355084 0.6648976 0.8496993  B[ 1 ] =  0.4428409 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA      0.8496993
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]      0.6648976        1.355084                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.4428409

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      1                       1                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric TableGeometric ModelGeometric
[1,]            TRUE           TRUE           TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric TableGeometric ModelGeometric 
AA[[ 1 ]] = 1.729512 0.7160388 0.9122951  B[ 1 ] =  -0.06858771 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA      0.9122951
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]      0.7160388        1.729512                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems            
[1,]               NA                     NA                    NA -0.06858771

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric
[1,]            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric 
AA[[ 1 ]] = 1.038212  B[ 1 ] =  0.2923076 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.038212                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.2923076

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric
[1,]            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric 
AA[[ 1 ]] = 0.8246141  B[ 1 ] =  0.1140805 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA       0.8246141                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.1140805

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric
[1,]            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric 
AA[[ 1 ]] = 0.8187308  B[ 1 ] =  0.5358972 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA       0.8187308                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.5358972

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric
[1,]            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric 
AA[[ 1 ]] = 1.051271  B[ 1 ] =  0.08736439 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.051271                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA 0.08736439

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric
[1,]            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric 
AA[[ 1 ]] = 1.018298  B[ 1 ] =  -1.177221 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.018298                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA -1.177221

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       1 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExtendGeometric
[1,]            TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExtendGeometric 
AA[[ 1 ]] = 1.105171  B[ 1 ] =  -0.891 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA        1.105171                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems       
[1,]               NA                     NA                    NA -0.891

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      1                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExamplesGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExamplesGeometric 
AA[[ 1 ]] = 2.463039  B[ 1 ] =  1.571162 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA          2.463039          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 1.571162

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      1                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExamplesGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExamplesGeometric 
AA[[ 1 ]] = 2.152899  B[ 1 ] =  0.7995107 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA          2.152899          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.7995107

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      1                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExamplesGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExamplesGeometric 
AA[[ 1 ]] = 1.863101  B[ 1 ] =  0.8003914 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA          1.863101          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.8003914

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      1                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExamplesGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExamplesGeometric 
AA[[ 1 ]] = 1.918256  B[ 1 ] =  1.589895 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA          1.918256          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 1.589895

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      1                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExamplesGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExamplesGeometric 
AA[[ 1 ]] = 1.416055  B[ 1 ] =  0.5065453 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA          1.416055          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.5065453

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      1                       0                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     ExamplesGeometric
[1,]              TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: ExamplesGeometric 
AA[[ 1 ]] = 1.8183  B[ 1 ] =  0.6035757 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA            1.8183          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.6035757

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       1                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     CommonRatio
[1,]        TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: CommonRatio 
AA[[ 1 ]] = 1.025315  B[ 1 ] =  1.3915 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA    1.025315
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems       
[1,]               NA                     NA                    NA 1.3915

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       1                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     CommonRatio
[1,]        TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: CommonRatio 
AA[[ 1 ]] = 0.9048374  B[ 1 ] =  1.452 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA   0.9048374
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems      
[1,]               NA                     NA                    NA 1.452

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       1                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     CommonRatio
[1,]        TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: CommonRatio 
AA[[ 1 ]] = 1.426181  B[ 1 ] =  -0.39366 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA    1.426181
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA -0.39366

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       1                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     CommonRatio
[1,]        TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: CommonRatio 
AA[[ 1 ]] = 1.051271  B[ 1 ] =  0.1547714 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA    1.051271
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.1547714

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       1                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     CommonRatio
[1,]        TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: CommonRatio 
AA[[ 1 ]] = 2.095281  B[ 1 ] =  -1.441125 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA    2.095281
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA -1.441125

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       1                       0 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     CommonRatio
[1,]        TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: CommonRatio 
AA[[ 1 ]] = 1.462285  B[ 1 ] =  -0.3443738 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA    1.462285
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]               NA                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems           
[1,]               NA                     NA                    NA -0.3443738

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       1 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     DistinguishTypes
[1,]             TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: DistinguishTypes 
AA[[ 1 ]] = 0.5973839  B[ 1 ] =  0.799541 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]        0.5973839                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA 0.799541

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       1 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     DistinguishTypes
[1,]             TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: DistinguishTypes 
AA[[ 1 ]] = 0.6330987  B[ 1 ] =  0.4167969 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]        0.6330987                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems          
[1,]               NA                     NA                    NA 0.4167969

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       1 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     DistinguishTypes
[1,]             TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: DistinguishTypes 
AA[[ 1 ]] = 1.00627  B[ 1 ] =  -0.4275 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]          1.00627                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems        
[1,]               NA                     NA                    NA -0.4275

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       1 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     DistinguishTypes
[1,]             TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: DistinguishTypes 
AA[[ 1 ]] = 0.8187308  B[ 1 ] =  -0.2 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]        0.8187308                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems     
[1,]               NA                     NA                    NA -0.2

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       1 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     DistinguishTypes
[1,]             TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: DistinguishTypes 
AA[[ 1 ]] = 1.00627  B[ 1 ] =  -0.43125 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]          1.00627                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems         
[1,]               NA                     NA                    NA -0.43125

Q matrix:
RecursiveRulesGeometric       ExplicitGeometric   AlgebraRulesGeometric 
                      0                       0                       0 
   VerbalRulesGeometric    InduceRulesGeometric         VisualGeometric 
                      0                       0                       0 
         ModelGeometric          TableGeometric         ExtendGeometric 
                      0                       0                       0 
      ExamplesGeometric             CommonRatio        DistinguishTypes 
                      0                       0                       1 
 SolveGeometricProblems   SolveSequenceProblems 
                      0                       0 
     DistinguishTypes
[1,]             TRUE

Rules[[ 1 ]]: Compensatory 
Parents[[ 1 ]]: DistinguishTypes 
AA[[ 1 ]] = 1.051271  B[ 1 ] =  -0.35 
AA & A matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems   
[1,]         1.051271                     NA                    NA NA
BB & B matrix:
     RecursiveRulesGeometric ExplicitGeometric AlgebraRulesGeometric
[1,]                      NA                NA                    NA
     VerbalRulesGeometric InduceRulesGeometric VisualGeometric ModelGeometric
[1,]                   NA                   NA              NA             NA
     TableGeometric ExtendGeometric ExamplesGeometric CommonRatio
[1,]             NA              NA                NA          NA
     DistinguishTypes SolveGeometricProblems SolveSequenceProblems      
[1,]               NA                     NA                    NA -0.35
write.csv(outOmega,"outOmega.csv")
write.csv(outQ,"outQ.csv")