Graphical Model Description

Variables

Name	Role	External Name	Ordered	Values
Skill 1	SM	Skill 1		Yes, No,
Skill 2	SM	Skill 2		Yes, No,
Skill 3	SM	Skill 3		Yes, No,
Skill 4	SM	Skill 4		Yes, No,
Skills1n2n3n4	EM	Skills1n2n3n4		Yes, No,
isCorrect	Observable	isCorrect		Correct, Incorrect,

Distributions

( Skill 1, Skill 2, Skill 3, Skill 4, ) -> Skills1n2n3n4

Type: HyperDirichlet Distribution

Parameters

Skill 1	Skill 2	Skill 3	Skill 4	Yes	No
Yes	Yes	Yes	Yes	1.0E9	0.0
Yes	Yes	Yes	No	0.0	1.0E9
Yes	Yes	No	Yes	0.0	1.0E9
Yes	Yes	No	No	0.0	1.0E9
Yes	No	Yes	Yes	0.0	1.0E9
Yes	No	Yes	No	0.0	1.0E9
Yes	No	No	Yes	0.0	1.0E9
Yes	No	No	No	0.0	1.0E9
No	Yes	Yes	Yes	0.0	1.0E9
No	Yes	Yes	No	0.0	1.0E9
No	Yes	No	Yes	0.0	1.0E9
No	Yes	No	No	0.0	1.0E9
No	No	Yes	Yes	0.0	1.0E9
No	No	Yes	No	0.0	1.0E9
No	No	No	Yes	0.0	1.0E9
No	No	No	No	0.0	1.0E9

Probabilities

Skill 1	Skill 2	Skill 3	Skill 4	Yes	No
Yes	Yes	Yes	Yes	1.0	0.0
Yes	Yes	Yes	No	0.0	1.0
Yes	Yes	No	Yes	0.0	1.0
Yes	Yes	No	No	0.0	1.0
Yes	No	Yes	Yes	0.0	1.0
Yes	No	Yes	No	0.0	1.0
Yes	No	No	Yes	0.0	1.0
Yes	No	No	No	0.0	1.0
No	Yes	Yes	Yes	0.0	1.0
No	Yes	Yes	No	0.0	1.0
No	Yes	No	Yes	0.0	1.0
No	Yes	No	No	0.0	1.0
No	No	Yes	Yes	0.0	1.0
No	No	Yes	No	0.0	1.0
No	No	No	Yes	0.0	1.0
No	No	No	No	0.0	1.0

( Skills1n2n3n4, ) -> isCorrect

Type: HyperDirichlet Distribution

Parameters

Skills1n2n3n4	Correct	Incorrect
Yes	274.1375	50.8625
No	1.7555	48.2445

Probabilities

Skills1n2n3n4	Correct	Incorrect
Yes	0.8435	0.1565
No	0.03511	0.96489