Graphical Model Description
StudentModel: ecd://Mixnum/Mixed__Number__Subtraction/Method__B__Five__Skills-FilledIn/
Variables
| Name | Role | External Name | Ordered | Values |
|---|
| Skill 1 | SM | | | Yes,
No,
|
| Skill 2 | SM | | | Yes,
No,
|
| Skill 3 | SM | | | Yes,
No,
|
| Skill 4 | SM | | | Yes,
No,
|
| Skill 5 | SM | | | Yes,
No,
|
| Skill MN | SM | | X | 2,
1,
0,
|
| s12 | SM | | X | 2,
1,
0,
|
| s1234 | SM | | | Yes,
No,
|
| s125 | SM | | X | 3,
2,
1,
0,
|
| s13 | SM | | | Yes,
No,
|
| s134 | SM | | | Yes,
No,
|
| s1345 | SM | | | Yes,
No,
|
Distributions
(
) ->
Skill 1
Type: HyperDirichlet Distribution
Parameters
| Yes |
No |
Sum |
Scale |
| 23.500000 |
3.500000 |
27.000000 |
27.000000 |
Probabilities
(
Skill 1,
) ->
Skill 2
Type: HyperDirichlet Distribution
Parameters
| Skill 1 |
Yes |
No |
Sum |
Scale |
| Yes |
23.500000 |
3.500000 |
27.000000 |
27.000000 |
| No |
3.500000 |
23.500000 |
27.000000 |
27.000000 |
Probabilities
| Skill 1 |
Yes |
No |
| Yes |
0.870370 |
0.129630 |
| No |
0.129630 |
0.870370 |
(
Skill MN,
) ->
Skill 3
Type: HyperDirichlet Distribution
Parameters
| Skill MN |
Yes |
No |
Sum |
Scale |
| 2 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| 1 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| 0 |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill MN |
Yes |
No |
| 2 |
1.000000 |
0.000000 |
| 1 |
1.000000 |
0.000000 |
| 0 |
0.000000 |
1.000000 |
(
Skill MN,
) ->
Skill 4
Type: HyperDirichlet Distribution
Parameters
| Skill MN |
Yes |
No |
Sum |
Scale |
| 2 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| 1 |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| 0 |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill MN |
Yes |
No |
| 2 |
1.000000 |
0.000000 |
| 1 |
0.000000 |
1.000000 |
| 0 |
0.000000 |
1.000000 |
(
s12,
) ->
Skill 5
Type: HyperDirichlet Distribution
Parameters
| s12 |
Yes |
No |
Sum |
Scale |
| 2 |
23.500000 |
3.500000 |
27.000000 |
27.000000 |
| 1 |
13.500000 |
13.500000 |
27.000000 |
27.000000 |
| 0 |
3.500000 |
23.500000 |
27.000000 |
27.000000 |
Probabilities
| s12 |
Yes |
No |
| 2 |
0.870370 |
0.129630 |
| 1 |
0.500000 |
0.500000 |
| 0 |
0.129630 |
0.870370 |
(
s125,
) ->
Skill MN
Type: HyperDirichlet Distribution
Parameters
| s125 |
2 |
1 |
0 |
Sum |
Scale |
| 3 |
15.000000 |
7.000000 |
5.000000 |
27.000000 |
27.000000 |
| 2 |
11.000000 |
9.000000 |
7.000000 |
27.000000 |
27.000000 |
| 1 |
7.000000 |
9.000000 |
11.000000 |
27.000000 |
27.000000 |
| 0 |
5.000000 |
7.000000 |
15.000000 |
27.000000 |
27.000000 |
Probabilities
| s125 |
2 |
1 |
0 |
| 3 |
0.555556 |
0.259259 |
0.185185 |
| 2 |
0.407407 |
0.333333 |
0.259259 |
| 1 |
0.259259 |
0.333333 |
0.407407 |
| 0 |
0.185185 |
0.259259 |
0.555556 |
(
Skill 1,
Skill 2,
) ->
s12
Type: HyperDirichlet Distribution
Parameters
| Skill 1 |
Skill 2 |
2 |
1 |
0 |
Sum |
Scale |
| Yes |
Yes |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
0.000000 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
0.000000 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| No |
No |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill 1 |
Skill 2 |
2 |
1 |
0 |
| Yes |
Yes |
1.000000 |
0.000000 |
0.000000 |
| Yes |
No |
0.000000 |
1.000000 |
0.000000 |
| No |
Yes |
0.000000 |
1.000000 |
0.000000 |
| No |
No |
0.000000 |
0.000000 |
1.000000 |
(
Skill 1,
Skill 2,
Skill 3,
Skill 4,
) ->
s1234
Type: HyperDirichlet Distribution
Parameters
| Skill 1 |
Skill 2 |
Skill 3 |
Skill 4 |
Yes |
No |
Sum |
Scale |
| Yes |
Yes |
Yes |
Yes |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
Yes |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
Yes |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
Yes |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill 1 |
Skill 2 |
Skill 3 |
Skill 4 |
Yes |
No |
| Yes |
Yes |
Yes |
Yes |
1.000000 |
0.000000 |
| Yes |
Yes |
Yes |
No |
0.000000 |
1.000000 |
| Yes |
Yes |
No |
Yes |
0.000000 |
1.000000 |
| Yes |
Yes |
No |
No |
0.000000 |
1.000000 |
| Yes |
No |
Yes |
Yes |
0.000000 |
1.000000 |
| Yes |
No |
Yes |
No |
0.000000 |
1.000000 |
| Yes |
No |
No |
Yes |
0.000000 |
1.000000 |
| Yes |
No |
No |
No |
0.000000 |
1.000000 |
| No |
Yes |
Yes |
Yes |
0.000000 |
1.000000 |
| No |
Yes |
Yes |
No |
0.000000 |
1.000000 |
| No |
Yes |
No |
Yes |
0.000000 |
1.000000 |
| No |
Yes |
No |
No |
0.000000 |
1.000000 |
| No |
No |
Yes |
Yes |
0.000000 |
1.000000 |
| No |
No |
Yes |
No |
0.000000 |
1.000000 |
| No |
No |
No |
Yes |
0.000000 |
1.000000 |
| No |
No |
No |
No |
0.000000 |
1.000000 |
(
Skill 5,
Skill 1,
Skill 2,
) ->
s125
Type: HyperDirichlet Distribution
Parameters
| Skill 5 |
Skill 1 |
Skill 2 |
3 |
2 |
1 |
0 |
Sum |
Scale |
| Yes |
Yes |
Yes |
1.000000 |
0.000000 |
0.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
No |
0.000000 |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
Yes |
0.000000 |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
No |
0.000000 |
0.000000 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
Yes |
0.000000 |
1.000000 |
0.000000 |
0.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
No |
0.000000 |
0.000000 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| No |
No |
Yes |
0.000000 |
0.000000 |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| No |
No |
No |
0.000000 |
0.000000 |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill 5 |
Skill 1 |
Skill 2 |
3 |
2 |
1 |
0 |
| Yes |
Yes |
Yes |
1.000000 |
0.000000 |
0.000000 |
0.000000 |
| Yes |
Yes |
No |
0.000000 |
1.000000 |
0.000000 |
0.000000 |
| Yes |
No |
Yes |
0.000000 |
1.000000 |
0.000000 |
0.000000 |
| Yes |
No |
No |
0.000000 |
0.000000 |
1.000000 |
0.000000 |
| No |
Yes |
Yes |
0.000000 |
1.000000 |
0.000000 |
0.000000 |
| No |
Yes |
No |
0.000000 |
0.000000 |
1.000000 |
0.000000 |
| No |
No |
Yes |
0.000000 |
0.000000 |
1.000000 |
0.000000 |
| No |
No |
No |
0.000000 |
0.000000 |
0.000000 |
1.000000 |
(
Skill 1,
Skill 3,
) ->
s13
Type: HyperDirichlet Distribution
Parameters
| Skill 1 |
Skill 3 |
Yes |
No |
Sum |
Scale |
| Yes |
Yes |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill 1 |
Skill 3 |
Yes |
No |
| Yes |
Yes |
1.000000 |
0.000000 |
| Yes |
No |
0.000000 |
1.000000 |
| No |
Yes |
0.000000 |
1.000000 |
| No |
No |
0.000000 |
1.000000 |
(
Skill 1,
Skill 4,
Skill 3,
) ->
s134
Type: HyperDirichlet Distribution
Parameters
| Skill 1 |
Skill 4 |
Skill 3 |
Yes |
No |
Sum |
Scale |
| Yes |
Yes |
Yes |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill 1 |
Skill 4 |
Skill 3 |
Yes |
No |
| Yes |
Yes |
Yes |
1.000000 |
0.000000 |
| Yes |
Yes |
No |
0.000000 |
1.000000 |
| Yes |
No |
Yes |
0.000000 |
1.000000 |
| Yes |
No |
No |
0.000000 |
1.000000 |
| No |
Yes |
Yes |
0.000000 |
1.000000 |
| No |
Yes |
No |
0.000000 |
1.000000 |
| No |
No |
Yes |
0.000000 |
1.000000 |
| No |
No |
No |
0.000000 |
1.000000 |
(
Skill 1,
Skill 5,
Skill 3,
Skill 4,
) ->
s1345
Type: HyperDirichlet Distribution
Parameters
| Skill 1 |
Skill 5 |
Skill 3 |
Skill 4 |
Yes |
No |
Sum |
Scale |
| Yes |
Yes |
Yes |
Yes |
1.000000 |
0.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
Yes |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
Yes |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| Yes |
No |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
Yes |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
Yes |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
Yes |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
Yes |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
No |
Yes |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
| No |
No |
No |
No |
0.000000 |
1.000000 |
1.000000 |
999999.000000 |
Probabilities
| Skill 1 |
Skill 5 |
Skill 3 |
Skill 4 |
Yes |
No |
| Yes |
Yes |
Yes |
Yes |
1.000000 |
0.000000 |
| Yes |
Yes |
Yes |
No |
0.000000 |
1.000000 |
| Yes |
Yes |
No |
Yes |
0.000000 |
1.000000 |
| Yes |
Yes |
No |
No |
0.000000 |
1.000000 |
| Yes |
No |
Yes |
Yes |
0.000000 |
1.000000 |
| Yes |
No |
Yes |
No |
0.000000 |
1.000000 |
| Yes |
No |
No |
Yes |
0.000000 |
1.000000 |
| Yes |
No |
No |
No |
0.000000 |
1.000000 |
| No |
Yes |
Yes |
Yes |
0.000000 |
1.000000 |
| No |
Yes |
Yes |
No |
0.000000 |
1.000000 |
| No |
Yes |
No |
Yes |
0.000000 |
1.000000 |
| No |
Yes |
No |
No |
0.000000 |
1.000000 |
| No |
No |
Yes |
Yes |
0.000000 |
1.000000 |
| No |
No |
Yes |
No |
0.000000 |
1.000000 |
| No |
No |
No |
Yes |
0.000000 |
1.000000 |
| No |
No |
No |
No |
0.000000 |
1.000000 |