Graphical Model Description

Variables

NameRoleExternal NameOrderedValues
Skill 1SMSkill 1Yes, No,
Skill 2SMSkill 2Yes, No,
Skill 3SMSkill 3Yes, No,
Skill 4SMSkill 4Yes, No,
Skill 5SMSkill 5Yes, No,
Skill MNSMSkill MN2, 1, 0,
s12SMs122, 1, 0,
s125SMs1253, 2, 1, 0,

Distributions

( Skill 1, Skill 3, ) ->

Type: Fillin Distribution

( Skill 1, Skill 2, Skill 3, Skill 4, ) ->

Type: Fillin Distribution

( Skill 1, Skill 3, Skill 4, Skill 5, ) ->

Type: Fillin Distribution

() -> Skill 1

Type: HyperDirichlet Distribution

Parameters

Yes No
23.5 3.5

Probabilities

Yes No
0.87037 0.12963

( Skill 1, ) -> Skill 2

Type: HyperDirichlet Distribution

Parameters

Skill 1 Yes No
Yes 23.5 3.5
No 3.5 23.5

Probabilities

Skill 1 Yes No
Yes 0.87037 0.12963
No 0.12963 0.87037

( Skill MN, ) -> Skill 3

Type: HyperDirichlet Distribution

Parameters

Skill MN Yes No
2 1.0E9 0.0
1 1.0E9 0.0
0 0.0 1.0E9

Probabilities

Skill MN Yes No
2 1.0 0.0
1 1.0 0.0
0 0.0 1.0

( Skill MN, ) -> Skill 4

Type: HyperDirichlet Distribution

Parameters

Skill MN Yes No
2 1.0E9 0.0
1 0.0 1.0E9
0 0.0 1.0E9

Probabilities

Skill MN Yes No
2 1.0 0.0
1 0.0 1.0
0 0.0 1.0

( s12, ) -> Skill 5

Type: HyperDirichlet Distribution

Parameters

s12 Yes No
2 23.5 3.5
1 13.5 13.5
0 3.5 23.5

Probabilities

s12 Yes No
2 0.87037 0.12963
1 0.5 0.5
0 0.12963 0.87037

( s125, ) -> Skill MN

Type: HyperDirichlet Distribution

Parameters

s125 2 1 0
3 15.0 7.0 5.0
2 11.0 9.0 7.0
1 7.0 9.0 11.0
0 5.0 7.0 15.0

Probabilities

s125 2 1 0
3 0.555556 0.259259 0.185185
2 0.40740740740740744 0.3333333333333333 0.2592592592592593
1 0.25925925925925924 0.3333333333333333 0.4074074074074074
0 0.185185 0.259259 0.555556

( Skill 1, Skill 2, ) -> s12

Type: HyperDirichlet Distribution

Parameters

Skill 1 Skill 2 2 1 0
Yes Yes 1.0E9 0.0 0.0
Yes No 0.0 1.0E9 0.0
No Yes 0.0 1.0E9 0.0
No No 0.0 0.0 1.0E9

Probabilities

Skill 1 Skill 2 2 1 0
Yes Yes 1.0 0.0 0.0
Yes No 0.0 1.0 0.0
No Yes 0.0 1.0 0.0
No No 0.0 0.0 1.0

( Skill 2, Skill 1, Skill 5, ) -> s125

Type: HyperDirichlet Distribution

Parameters

Skill 2 Skill 1 Skill 5 3 2 1 0
Yes Yes Yes 1.0E9 0.0 0.0 0.0
Yes Yes No 0.0 1.0E9 0.0 0.0
Yes No Yes 0.0 1.0E9 0.0 0.0
Yes No No 0.0 0.0 1.0E9 0.0
No Yes Yes 0.0 1.0E9 0.0 0.0
No Yes No 0.0 0.0 1.0E9 0.0
No No Yes 0.0 0.0 1.0E9 0.0
No No No 0.0 0.0 0.0 1.0E9

Probabilities

Skill 2 Skill 1 Skill 5 3 2 1 0
Yes Yes Yes 1.0 0.0 0.0 0.0
Yes Yes No 0.0 1.0 0.0 0.0
Yes No Yes 0.0 1.0 0.0 0.0
Yes No No 0.0 0.0 1.0 0.0
No Yes Yes 0.0 1.0 0.0 0.0
No Yes No 0.0 0.0 1.0 0.0
No No Yes 0.0 0.0 1.0 0.0
No No No 0.0 0.0 0.0 1.0