Graphical Model Description
StudentModel: ecd://K12Math/Formative__Assessment/THE__Understands__Sequences__as__Patterns/
Variables
| Name | Role | External Name | Ordered | Values |
|---|
| algebraRuleArithmetic | SM | | X | High,
Medium,
Low,
|
| algebraRuleGeometric | SM | | X | High,
Medium,
Low,
|
| algebraRuleOtherRecursive | SM | | X | High,
Medium,
Low,
|
| commonDifference | SM | | X | High,
Medium,
Low,
|
| commonRatio | SM | | X | High,
Medium,
Low,
|
| distinguishTypes | SM | | X | High,
Medium,
Low,
|
| examplesArithmetic | SM | | X | High,
Medium,
Low,
|
| examplesGeometric | SM | | X | High,
Medium,
Low,
|
| examplesOtherRecursive | SM | | X | High,
Medium,
Low,
|
| explicitArithmetic | SM | | X | High,
Medium,
Low,
|
| explicitGeometric | SM | | X | High,
Medium,
Low,
|
| explicitOtherRecursive | SM | | X | High,
Medium,
Low,
|
| extendArithmetic | SM | | X | High,
Medium,
Low,
|
| extendGeometric | SM | | X | High,
Medium,
Low,
|
| extendOtherRecursive | SM | | X | High,
Medium,
Low,
|
| functionTables | SM | | X | High,
Medium,
Low,
|
| induceRulesArithmetic | SM | | X | High,
Medium,
Low,
|
| induceRulesGeometric | SM | | X | High,
Medium,
Low,
|
| induceRulesOtherRecursive | SM | | X | High,
Medium,
Low,
|
| IOs | SM | | X | High,
Medium,
Low,
|
| modelArithmetic | SM | | X | High,
Medium,
Low,
|
| modelGeometric | SM | | X | High,
Medium,
Low,
|
| modelOtherRecursive | SM | | X | High,
Medium,
Low,
|
| recognizeSequences | SM | | X | High,
Medium,
Low,
|
| recursiveRuleArithmetic | SM | | X | High,
Medium,
Low,
|
| recursiveRuleGeometric | SM | | X | High,
Medium,
Low,
|
| recursiveRuleOtherRecursive | SM | | X | High,
Medium,
Low,
|
| reviewMaterial | SM | | X | High,
Medium,
Low,
|
| sequences | SM | | X | High,
Medium,
Low,
|
| sequencesHigh | SM | | X | Yes,
No,
|
| sequencesMedium | SM | | | Yes,
No,
|
| solveArithmeticProblems | SM | | X | High,
Medium,
Low,
|
| solveArithmeticProblemsHigh | SM | | X | Yes,
No,
|
| solveArithmeticProblemsMedium | SM | | X | Yes,
No,
|
| solveGeometricProblems | SM | | X | High,
Medium,
Low,
|
| solveGeometricProblemsHigh | SM | | X | Yes,
No,
|
| solveGeometricProblemsMedium | SM | | X | Yes,
No,
|
| solveOtherRecursiveHigh | SM | | X | Yes,
No,
|
| solveOtherRecursiveMedium | SM | | X | Yes,
No,
|
| solveOtherRecursiveProblems | SM | | X | High,
Medium,
Low,
|
| solveSequenceProblems | SM | | X | High,
Medium,
Low,
|
| solveSequenceProblemsHigh | SM | | X | Yes,
No,
|
| solveSequenceProblemsMedium | SM | | X | Yes,
No,
|
| tableArithmetic | SM | | X | High,
Medium,
Low,
|
| tableGeometric | SM | | X | High,
Medium,
Low,
|
| tableOtherRecursive | SM | | X | High,
Medium,
Low,
|
| verbalRuleArithmetic | SM | | X | High,
Medium,
Low,
|
| verbalRuleGeometric | SM | | X | High,
Medium,
Low,
|
| verbalRuleOtherRecursive | SM | | X | High,
Medium,
Low,
|
| visualArithmetic | SM | | X | High,
Medium,
Low,
|
| visualGeometric | SM | | X | High,
Medium,
Low,
|
| visualOtherRecursive | SM | | X | High,
Medium,
Low,
|
Distributions
(
induceRulesArithmetic,
) ->
algebraRuleArithmetic
Type: HyperDirichlet Distribution
Parameters
| induceRulesArithmetic |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.258247 |
0.453171 |
0.288582 |
1.000000 |
1.000000 |
| Medium |
0.022566 |
0.190122 |
0.787312 |
1.000000 |
1.000000 |
| Low |
0.000393 |
0.015315 |
0.984293 |
1.000000 |
1.000000 |
Probabilities
| induceRulesArithmetic |
High |
Medium |
Low |
| High |
0.258247 |
0.453171 |
0.288582 |
| Medium |
0.022566 |
0.190122 |
0.787312 |
| Low |
0.000392 |
0.015315 |
0.984293 |
(
induceRulesGeometric,
) ->
algebraRuleGeometric
Type: HyperDirichlet Distribution
Parameters
| induceRulesGeometric |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.158939 |
0.423237 |
0.417825 |
1.000000 |
1.000000 |
| Medium |
0.009299 |
0.116351 |
0.874350 |
1.000000 |
1.000000 |
| Low |
0.000104 |
0.006073 |
0.993823 |
1.000000 |
1.000000 |
Probabilities
| induceRulesGeometric |
High |
Medium |
Low |
| High |
0.158939 |
0.423237 |
0.417825 |
| Medium |
0.009299 |
0.116351 |
0.874350 |
| Low |
0.000104 |
0.006073 |
0.993823 |
(
induceRulesOtherRecursive,
) ->
algebraRuleOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| induceRulesOtherRecursive |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.158939 |
0.423237 |
0.417825 |
1.000000 |
1.000000 |
| Medium |
0.009299 |
0.116351 |
0.874350 |
1.000000 |
1.000000 |
| Low |
0.000104 |
0.006073 |
0.993823 |
1.000000 |
1.000000 |
Probabilities
| induceRulesOtherRecursive |
High |
Medium |
Low |
| High |
0.158939 |
0.423237 |
0.417825 |
| Medium |
0.009299 |
0.116351 |
0.874350 |
| Low |
0.000104 |
0.006073 |
0.993823 |
(
solveArithmeticProblems,
) ->
commonDifference
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
1.000000 |
1.000000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
High |
Medium |
Low |
| High |
1.000000 |
0.000000 |
0.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
(
solveGeometricProblems,
) ->
commonRatio
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
1.000000 |
1.000000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
High |
Medium |
Low |
| High |
1.000000 |
0.000000 |
0.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
(
recognizeSequences,
) ->
distinguishTypes
Type: HyperDirichlet Distribution
Parameters
| recognizeSequences |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.999929 |
0.000071 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.001132 |
0.997737 |
0.001131 |
1.000000 |
1.000000 |
| Low |
0.000000 |
0.000071 |
0.999929 |
1.000000 |
1.000000 |
Probabilities
| recognizeSequences |
High |
Medium |
Low |
| High |
0.999929 |
0.000071 |
0.000000 |
| Medium |
0.001132 |
0.997737 |
0.001131 |
| Low |
0.000000 |
0.000071 |
0.999929 |
(
solveArithmeticProblems,
) ->
examplesArithmetic
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.518000 |
0.351000 |
0.131000 |
1.000000 |
1.000000 |
| Medium |
0.122000 |
0.344000 |
0.534000 |
1.000000 |
1.000000 |
| Low |
0.009000 |
0.089000 |
0.902000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
High |
Medium |
Low |
| High |
0.518000 |
0.351000 |
0.131000 |
| Medium |
0.122000 |
0.344000 |
0.534000 |
| Low |
0.009000 |
0.089000 |
0.902000 |
(
solveGeometricProblems,
) ->
examplesGeometric
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.518000 |
0.351000 |
0.131000 |
1.000000 |
1.000000 |
| Medium |
0.122000 |
0.344000 |
0.534000 |
1.000000 |
1.000000 |
| Low |
0.009000 |
0.089000 |
0.902000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
High |
Medium |
Low |
| High |
0.518000 |
0.351000 |
0.131000 |
| Medium |
0.122000 |
0.344000 |
0.534000 |
| Low |
0.009000 |
0.089000 |
0.902000 |
(
solveOtherRecursiveProblems,
) ->
examplesOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.518000 |
0.351000 |
0.131000 |
1.000000 |
1.000000 |
| Medium |
0.122000 |
0.343000 |
0.534000 |
0.999000 |
0.999000 |
| Low |
0.009000 |
0.089000 |
0.902000 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
High |
Medium |
Low |
| High |
0.518000 |
0.351000 |
0.131000 |
| Medium |
0.122122 |
0.343343 |
0.534535 |
| Low |
0.009000 |
0.089000 |
0.902000 |
(
algebraRuleArithmetic,
) ->
explicitArithmetic
Type: HyperDirichlet Distribution
Parameters
| algebraRuleArithmetic |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.520489 |
0.375256 |
0.104255 |
1.000000 |
1.000000 |
| Medium |
0.096240 |
0.365128 |
0.538632 |
1.000000 |
1.000000 |
| Low |
0.003931 |
0.069369 |
0.926700 |
1.000000 |
1.000000 |
Probabilities
| algebraRuleArithmetic |
High |
Medium |
Low |
| High |
0.520489 |
0.375256 |
0.104255 |
| Medium |
0.096240 |
0.365128 |
0.538632 |
| Low |
0.003931 |
0.069369 |
0.926700 |
(
algebraRuleGeometric,
) ->
explicitGeometric
Type: HyperDirichlet Distribution
Parameters
| algebraRuleGeometric |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.258247 |
0.453171 |
0.288582 |
1.000000 |
1.000000 |
| Medium |
0.022566 |
0.190122 |
0.787312 |
1.000000 |
1.000000 |
| Low |
0.000393 |
0.015315 |
0.984293 |
1.000000 |
1.000000 |
Probabilities
| algebraRuleGeometric |
High |
Medium |
Low |
| High |
0.258247 |
0.453171 |
0.288582 |
| Medium |
0.022566 |
0.190122 |
0.787312 |
| Low |
0.000392 |
0.015315 |
0.984293 |
(
algebraRuleOtherRecursive,
) ->
explicitOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| algebraRuleOtherRecursive |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.258247 |
0.453171 |
0.288582 |
1.000000 |
1.000000 |
| Medium |
0.022566 |
0.190122 |
0.787312 |
1.000000 |
1.000000 |
| Low |
0.000393 |
0.015315 |
0.984293 |
1.000000 |
1.000000 |
Probabilities
| algebraRuleOtherRecursive |
High |
Medium |
Low |
| High |
0.258247 |
0.453171 |
0.288582 |
| Medium |
0.022566 |
0.190122 |
0.787312 |
| Low |
0.000392 |
0.015315 |
0.984293 |
(
solveArithmeticProblems,
) ->
extendArithmetic
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
1.000000 |
1.000000 |
| Low |
0.567000 |
0.378000 |
0.054000 |
0.999000 |
0.999000 |
Probabilities
| solveArithmeticProblems |
High |
Medium |
Low |
| High |
1.000000 |
0.000000 |
0.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
| Low |
0.567568 |
0.378378 |
0.054054 |
(
solveGeometricProblems,
) ->
extendGeometric
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
1.000000 |
1.000000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
High |
Medium |
Low |
| High |
1.000000 |
0.000000 |
0.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
(
solveOtherRecursiveProblems,
) ->
extendOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
1.000000 |
1.000000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
High |
Medium |
Low |
| High |
1.000000 |
0.000000 |
0.000000 |
| Medium |
0.963000 |
0.036000 |
0.001000 |
| Low |
0.567000 |
0.379000 |
0.054000 |
(
reviewMaterial,
) ->
functionTables
Type: HyperDirichlet Distribution
Parameters
| reviewMaterial |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.861426 |
0.115268 |
0.023306 |
1.000000 |
1.000000 |
| Medium |
0.528945 |
0.306443 |
0.164612 |
1.000000 |
1.000000 |
| Low |
0.173221 |
0.311442 |
0.515338 |
1.000000 |
1.000000 |
Probabilities
| reviewMaterial |
High |
Medium |
Low |
| High |
0.861426 |
0.115268 |
0.023306 |
| Medium |
0.528945 |
0.306443 |
0.164612 |
| Low |
0.173220 |
0.311442 |
0.515338 |
(
solveArithmeticProblems,
) ->
induceRulesArithmetic
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.395000 |
0.396000 |
0.209000 |
1.000000 |
1.000000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
1.000000 |
1.000000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
High |
Medium |
Low |
| High |
0.395000 |
0.396000 |
0.209000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
(
solveGeometricProblems,
) ->
induceRulesGeometric
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.395000 |
0.396000 |
0.209000 |
1.000000 |
1.000000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
1.000000 |
1.000000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
High |
Medium |
Low |
| High |
0.395000 |
0.396000 |
0.209000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
(
solveOtherRecursiveProblems,
) ->
induceRulesOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.395000 |
0.396000 |
0.209000 |
1.000000 |
1.000000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
1.000000 |
1.000000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
High |
Medium |
Low |
| High |
0.395000 |
0.396000 |
0.209000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
(
functionTables,
) ->
IOs
Type: HyperDirichlet Distribution
Parameters
| functionTables |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.998421 |
0.001579 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.768057 |
0.228567 |
0.003376 |
1.000000 |
1.000000 |
| Low |
0.068514 |
0.619201 |
0.312286 |
1.000000 |
1.000000 |
Probabilities
| functionTables |
High |
Medium |
Low |
| High |
0.998421 |
0.001579 |
0.000000 |
| Medium |
0.768056 |
0.228567 |
0.003376 |
| Low |
0.068514 |
0.619200 |
0.312286 |
(
solveArithmeticProblems,
) ->
modelArithmetic
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.395000 |
0.396000 |
0.209000 |
1.000000 |
1.000000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
1.000000 |
1.000000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
High |
Medium |
Low |
| High |
0.395000 |
0.396000 |
0.209000 |
| Medium |
0.070000 |
0.275000 |
0.655000 |
| Low |
0.004000 |
0.050000 |
0.946000 |
(
solveGeometricProblems,
) ->
modelGeometric
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.281000 |
0.410000 |
0.309000 |
1.000000 |
1.000000 |
| Medium |
0.037000 |
0.201000 |
0.762000 |
1.000000 |
1.000000 |
| Low |
0.001000 |
0.026000 |
0.973000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
High |
Medium |
Low |
| High |
0.281000 |
0.410000 |
0.309000 |
| Medium |
0.037000 |
0.201000 |
0.762000 |
| Low |
0.001000 |
0.026000 |
0.973000 |
(
solveOtherRecursiveProblems,
) ->
modelOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.281000 |
0.410000 |
0.309000 |
1.000000 |
1.000000 |
| Medium |
0.037000 |
0.201000 |
0.762000 |
1.000000 |
1.000000 |
| Low |
0.001000 |
0.026000 |
0.973000 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
High |
Medium |
Low |
| High |
0.281000 |
0.410000 |
0.309000 |
| Medium |
0.037000 |
0.201000 |
0.762000 |
| Low |
0.001000 |
0.026000 |
0.973000 |
(
sequences,
) ->
recognizeSequences
Type: HyperDirichlet Distribution
Parameters
| sequences |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.518000 |
0.351000 |
0.131000 |
1.000000 |
1.000000 |
| Medium |
0.122000 |
0.344000 |
0.534000 |
1.000000 |
1.000000 |
| Low |
0.009000 |
0.089000 |
0.902000 |
1.000000 |
1.000000 |
Probabilities
| sequences |
High |
Medium |
Low |
| High |
0.518000 |
0.351000 |
0.131000 |
| Medium |
0.122000 |
0.344000 |
0.534000 |
| Low |
0.009000 |
0.089000 |
0.902000 |
(
algebraRuleArithmetic,
) ->
recursiveRuleArithmetic
Type: HyperDirichlet Distribution
Parameters
| algebraRuleArithmetic |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.926702 |
0.069367 |
0.003931 |
1.000000 |
1.000000 |
| Medium |
0.538637 |
0.365125 |
0.096238 |
1.000000 |
1.000000 |
| Low |
0.104258 |
0.375259 |
0.520484 |
1.000000 |
1.000000 |
Probabilities
| algebraRuleArithmetic |
High |
Medium |
Low |
| High |
0.926702 |
0.069367 |
0.003931 |
| Medium |
0.538637 |
0.365125 |
0.096238 |
| Low |
0.104258 |
0.375259 |
0.520484 |
(
algebraRuleGeometric,
) ->
recursiveRuleGeometric
Type: HyperDirichlet Distribution
Parameters
| algebraRuleGeometric |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.964206 |
0.034479 |
0.001315 |
1.000000 |
1.000000 |
| Medium |
0.672588 |
0.278283 |
0.049129 |
1.000000 |
1.000000 |
| Low |
0.182048 |
0.435369 |
0.382584 |
1.000000 |
1.000000 |
Probabilities
| algebraRuleGeometric |
High |
Medium |
Low |
| High |
0.964206 |
0.034479 |
0.001315 |
| Medium |
0.672588 |
0.278283 |
0.049129 |
| Low |
0.182048 |
0.435369 |
0.382584 |
(
algebraRuleOtherRecursive,
) ->
recursiveRuleOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| algebraRuleOtherRecursive |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.964206 |
0.034479 |
0.001315 |
1.000000 |
1.000000 |
| Medium |
0.672588 |
0.278283 |
0.049129 |
1.000000 |
1.000000 |
| Low |
0.182048 |
0.435369 |
0.382584 |
1.000000 |
1.000000 |
Probabilities
| algebraRuleOtherRecursive |
High |
Medium |
Low |
| High |
0.964206 |
0.034479 |
0.001315 |
| Medium |
0.672588 |
0.278283 |
0.049129 |
| Low |
0.182048 |
0.435369 |
0.382584 |
(
sequences,
) ->
reviewMaterial
Type: HyperDirichlet Distribution
Parameters
| sequences |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.987000 |
0.012000 |
0.001000 |
1.000000 |
1.000000 |
| Medium |
0.878000 |
0.104000 |
0.018000 |
1.000000 |
1.000000 |
| Low |
0.544000 |
0.309000 |
0.147000 |
1.000000 |
1.000000 |
Probabilities
| sequences |
High |
Medium |
Low |
| High |
0.987000 |
0.012000 |
0.001000 |
| Medium |
0.878000 |
0.104000 |
0.018000 |
| Low |
0.544000 |
0.309000 |
0.147000 |
(
) ->
sequences
Type: HyperDirichlet Distribution
Parameters
| High |
Medium |
Low |
Sum |
Scale |
| 0.200000 |
0.500000 |
0.300000 |
1.000000 |
1.000000 |
Probabilities
| High |
Medium |
Low |
| 0.200000 |
0.500000 |
0.300000 |
(
sequences,
) ->
sequencesHigh
Type: HyperDirichlet Distribution
Parameters
| sequences |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| sequences |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
0.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
(
sequences,
) ->
sequencesMedium
Type: HyperDirichlet Distribution
Parameters
| sequences |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| sequences |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
1.000000 |
0.000000 |
| Low |
0.000000 |
1.000000 |
(
solveSequenceProblems,
) ->
solveArithmeticProblems
Type: HyperDirichlet Distribution
Parameters
| solveSequenceProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.904000 |
0.095000 |
0.001000 |
1.000000 |
1.000000 |
| Low |
0.181000 |
0.675000 |
0.144000 |
1.000000 |
1.000000 |
Probabilities
| solveSequenceProblems |
High |
Medium |
Low |
| High |
1.000000 |
0.000000 |
0.000000 |
| Medium |
0.904000 |
0.095000 |
0.001000 |
| Low |
0.181000 |
0.675000 |
0.144000 |
(
solveArithmeticProblems,
) ->
solveArithmeticProblemsHigh
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
0.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
(
solveArithmeticProblems,
) ->
solveArithmeticProblemsMedium
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
1.000000 |
0.000000 |
| Low |
0.000000 |
1.000000 |
(
solveSequenceProblems,
) ->
solveGeometricProblems
Type: HyperDirichlet Distribution
Parameters
| solveSequenceProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.520000 |
0.376000 |
0.104000 |
1.000000 |
1.000000 |
| Medium |
0.096000 |
0.365000 |
0.539000 |
1.000000 |
1.000000 |
| Low |
0.004000 |
0.069000 |
0.927000 |
1.000000 |
1.000000 |
Probabilities
| solveSequenceProblems |
High |
Medium |
Low |
| High |
0.520000 |
0.376000 |
0.104000 |
| Medium |
0.096000 |
0.365000 |
0.539000 |
| Low |
0.004000 |
0.069000 |
0.927000 |
(
solveGeometricProblems,
) ->
solveGeometricProblemsHigh
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
0.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
(
solveGeometricProblems,
) ->
solveGeometricProblemsMedium
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
1.000000 |
0.000000 |
| Low |
0.000000 |
1.000000 |
(
solveOtherRecursiveProblems,
) ->
solveOtherRecursiveHigh
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
0.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
(
solveOtherRecursiveProblems,
) ->
solveOtherRecursiveMedium
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
1.000000 |
0.000000 |
| Low |
0.000000 |
1.000000 |
(
solveSequenceProblems,
) ->
solveOtherRecursiveProblems
Type: HyperDirichlet Distribution
Parameters
| solveSequenceProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.520000 |
0.376000 |
0.104000 |
1.000000 |
1.000000 |
| Medium |
0.096000 |
0.365000 |
0.539000 |
1.000000 |
1.000000 |
| Low |
0.004000 |
0.069000 |
0.927000 |
1.000000 |
1.000000 |
Probabilities
| solveSequenceProblems |
High |
Medium |
Low |
| High |
0.520000 |
0.376000 |
0.104000 |
| Medium |
0.096000 |
0.365000 |
0.539000 |
| Low |
0.004000 |
0.069000 |
0.927000 |
(
sequences,
) ->
solveSequenceProblems
Type: HyperDirichlet Distribution
Parameters
| sequences |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.814000 |
0.176000 |
0.010000 |
1.000000 |
1.000000 |
| Medium |
0.236000 |
0.528000 |
0.236000 |
1.000000 |
1.000000 |
| Low |
0.010000 |
0.176000 |
0.814000 |
1.000000 |
1.000000 |
Probabilities
| sequences |
High |
Medium |
Low |
| High |
0.814000 |
0.176000 |
0.010000 |
| Medium |
0.236000 |
0.528000 |
0.236000 |
| Low |
0.010000 |
0.176000 |
0.814000 |
(
solveSequenceProblems,
) ->
solveSequenceProblemsHigh
Type: HyperDirichlet Distribution
Parameters
| solveSequenceProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveSequenceProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
0.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
(
solveSequenceProblems,
) ->
solveSequenceProblemsMedium
Type: HyperDirichlet Distribution
Parameters
| solveSequenceProblems |
Yes |
No |
Sum |
Scale |
| High |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Medium |
1.000000 |
0.000000 |
1.000000 |
1.000000 |
| Low |
0.000000 |
1.000000 |
1.000000 |
1.000000 |
Probabilities
| solveSequenceProblems |
Yes |
No |
| High |
1.000000 |
0.000000 |
| Medium |
1.000000 |
0.000000 |
| Low |
0.000000 |
1.000000 |
(
solveArithmeticProblems,
) ->
tableArithmetic
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.713000 |
0.216000 |
0.071000 |
1.000000 |
1.000000 |
| Medium |
0.326000 |
0.348000 |
0.326000 |
1.000000 |
1.000000 |
| Low |
0.071000 |
0.216000 |
0.713000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
High |
Medium |
Low |
| High |
0.713000 |
0.216000 |
0.071000 |
| Medium |
0.326000 |
0.348000 |
0.326000 |
| Low |
0.071000 |
0.216000 |
0.713000 |
(
solveGeometricProblems,
) ->
tableGeometric
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.713000 |
0.216000 |
0.071000 |
1.000000 |
1.000000 |
| Medium |
0.326000 |
0.348000 |
0.326000 |
1.000000 |
1.000000 |
| Low |
0.071000 |
0.216000 |
0.713000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
High |
Medium |
Low |
| High |
0.713000 |
0.216000 |
0.071000 |
| Medium |
0.326000 |
0.348000 |
0.326000 |
| Low |
0.071000 |
0.216000 |
0.713000 |
(
solveOtherRecursiveProblems,
) ->
tableOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.713149 |
0.215482 |
0.071370 |
1.000000 |
1.000000 |
| Medium |
0.325806 |
0.348392 |
0.325802 |
1.000000 |
1.000000 |
| Low |
0.071371 |
0.215484 |
0.713146 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
High |
Medium |
Low |
| High |
0.713149 |
0.215482 |
0.071370 |
| Medium |
0.325806 |
0.348392 |
0.325802 |
| Low |
0.071371 |
0.215484 |
0.713146 |
(
induceRulesArithmetic,
) ->
verbalRuleArithmetic
Type: HyperDirichlet Distribution
Parameters
| induceRulesArithmetic |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.890887 |
0.108444 |
0.000669 |
1.000000 |
1.000000 |
| Medium |
0.161538 |
0.676929 |
0.161533 |
1.000000 |
1.000000 |
| Low |
0.000669 |
0.108448 |
0.890883 |
1.000000 |
1.000000 |
Probabilities
| induceRulesArithmetic |
High |
Medium |
Low |
| High |
0.890887 |
0.108444 |
0.000669 |
| Medium |
0.161538 |
0.676929 |
0.161533 |
| Low |
0.000669 |
0.108448 |
0.890883 |
(
induceRulesGeometric,
) ->
verbalRuleGeometric
Type: HyperDirichlet Distribution
Parameters
| induceRulesGeometric |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.890887 |
0.108444 |
0.000669 |
1.000000 |
1.000000 |
| Medium |
0.161538 |
0.676929 |
0.161533 |
1.000000 |
1.000000 |
| Low |
0.000669 |
0.108448 |
0.890883 |
1.000000 |
1.000000 |
Probabilities
| induceRulesGeometric |
High |
Medium |
Low |
| High |
0.890887 |
0.108444 |
0.000669 |
| Medium |
0.161538 |
0.676929 |
0.161533 |
| Low |
0.000669 |
0.108448 |
0.890883 |
(
induceRulesOtherRecursive,
) ->
verbalRuleOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| induceRulesOtherRecursive |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.890887 |
0.108444 |
0.000669 |
1.000000 |
1.000000 |
| Medium |
0.161538 |
0.676929 |
0.161533 |
1.000000 |
1.000000 |
| Low |
0.000669 |
0.108448 |
0.890883 |
1.000000 |
1.000000 |
Probabilities
| induceRulesOtherRecursive |
High |
Medium |
Low |
| High |
0.890887 |
0.108444 |
0.000669 |
| Medium |
0.161538 |
0.676929 |
0.161533 |
| Low |
0.000669 |
0.108448 |
0.890883 |
(
solveArithmeticProblems,
) ->
visualArithmetic
Type: HyperDirichlet Distribution
Parameters
| solveArithmeticProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.902000 |
0.089000 |
0.009000 |
1.000000 |
1.000000 |
| Medium |
0.535000 |
0.343000 |
0.122000 |
1.000000 |
1.000000 |
| Low |
0.131000 |
0.351000 |
0.518000 |
1.000000 |
1.000000 |
Probabilities
| solveArithmeticProblems |
High |
Medium |
Low |
| High |
0.902000 |
0.089000 |
0.009000 |
| Medium |
0.535000 |
0.343000 |
0.122000 |
| Low |
0.131000 |
0.351000 |
0.518000 |
(
solveGeometricProblems,
) ->
visualGeometric
Type: HyperDirichlet Distribution
Parameters
| solveGeometricProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.749000 |
0.211000 |
0.040000 |
1.000000 |
1.000000 |
| Medium |
0.295000 |
0.410000 |
0.295000 |
1.000000 |
1.000000 |
| Low |
0.040000 |
0.211000 |
0.749000 |
1.000000 |
1.000000 |
Probabilities
| solveGeometricProblems |
High |
Medium |
Low |
| High |
0.749000 |
0.211000 |
0.040000 |
| Medium |
0.295000 |
0.410000 |
0.295000 |
| Low |
0.040000 |
0.211000 |
0.749000 |
(
solveOtherRecursiveProblems,
) ->
visualOtherRecursive
Type: HyperDirichlet Distribution
Parameters
| solveOtherRecursiveProblems |
High |
Medium |
Low |
Sum |
Scale |
| High |
0.749000 |
0.211000 |
0.040000 |
1.000000 |
1.000000 |
| Medium |
0.295000 |
0.410000 |
0.295000 |
1.000000 |
1.000000 |
| Low |
0.040000 |
0.211000 |
0.749000 |
1.000000 |
1.000000 |
Probabilities
| solveOtherRecursiveProblems |
High |
Medium |
Low |
| High |
0.749000 |
0.211000 |
0.040000 |
| Medium |
0.295000 |
0.410000 |
0.295000 |
| Low |
0.040000 |
0.211000 |
0.749000 |