. Author manuscript; available in PMC: 2022 Jul 1.

Published in final edited form as: Psychol Assess. 2021 Apr 1;33(7):637–651. doi: 10.1037/pas0000906

Table 5.

Measurement Invariance Test of EDS-AER and REDI across Ethnicity/Race and Gender

Invariance Model	Number of Parameters	Log-likelihood	AIC	BIC	Likelihood Ratio Test
Invariance Model	Number of Parameters	Log-likelihood	AIC	BIC	Comparison	Δχ²	Δdf	p value
EDS Attribution to Ethnicity/Race (EDS-AER): Invariance across Ethnicity/Race
2-PL(P)	35	−1509.16	3088.33	3306.81
Loading	27	−1513.22	3080.44	3248.99	Baseline	8.33	8	0.40
Loading + Intercept	19	−1522.59	3083.18	3201.78	Loading	13.18	8	0.11
EDS Attribution to Ethnicity/Race (EDS-AER): Invariance across Gender
2-PL(P)	23	−1367.54	2789.07	2932.65
Loading	19	−1369.34	2776.67	2895.28	Baseline	6.97	4	0.14
Loading + Intercept	15	−1370.61	2771.23	2864.86	Loading	2.11	4	0.72
Racial/Ethnic Discrimination Index (REDI): Invariance across Ethnicity/Race
2-PL(P)	41	−1958.85	3999.69	4255.47
Loading	31	−1984.13	4030.25	4223.65	2-PL(P)	28.66	10	<.01
Loading + Intercept	21	−2004.89	4051.78	4182.78	Loading	27.99	10	<.01
Partial Loading	33	−1965.52	3997.03	4202.90	Baseline	6.95	8	.54
Partial Loading + Intercept	25	−1976.60	4003.20	4159.17	Partial Loading	72.54	8	< .01
Racial/Ethnic Discrimination Index (REDI): Invariance across Gender
2-PL(P)	27	−1843.87	3741.74	3910.18
Loading	22	−1851.16	3746.31	3883.56	2-PL(P)	7.65	5	.18
Loading + Intercept	17	−1861.26	3756.52	3862.58	Loading	9.44	5	.09

Note. 2-PL(P) is a variant of the 2-PL model in which the participant-level item loadings were constrained to be equal across all items. AIC is Akaike Information Criterion. BIC is Bayesian Information Criterion (BIC). Δχ² is the χ² difference. Δdf is the difference of degrees of freedom. In the partial invariance model for REDI across ethnicity/race, the loading and intercept of item 2 were not constrained to be invariant.