Table 6 Comparison of Interaction Effect Differences

Interaction effect	GT		MFRM
	Variance Component	(%)	chi-square	Z score range
Person by Item (pi)	0.141	(19.92)	4367.1*	−6.28 ~ 7.86
Person by Rater (pr)	0.008	(1.13)	582.2	−2.62 ~ 3.27
Person by Criteria (pc)	0.011	(1.55)	640.5	−4.71 ~ 3.07
Item by Rater (ir)	0.016	(2.26)	436.4*	−9.15~13.73
Item by Criteria (ic)	0.028	(3.95)	536.2*	−9.58 ~ 8.29
Rater by Criteria (rc)	0.014	(1.98)	340.5*	−6.42 ~ 4.05
Person by Item by Rater (pir)	0.043	(6.07)	6274.6*	−3.81 ~ 4.91
Person by Item by Criteria (pic)	0.052	(7.34)	2037.9	−2.95~ 3.83
Person by Rater by Criteria (prc)	0.004	(0.56)	2037.9	−2.95~ 3.83
Item by Rater by Criteria (irc)	0.008	(1.13)	1396.2*	−8.88~11.52
(pirc) + Residual	0.112	(15.82)	8489.0	−2.76 ~ 3.34

indicates significant difference at .001 level