Table 3.
Tests of Measurement Invariance and population heterogeneity of the Adult Attachment Interview (AAI) Two-Factor Latent Structure in European American and African American Ethnic Groups.
| Model fit | Nested model comparisons | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
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| Measurement Invariance | χ2 | df | p | CFI | RMSEA | SRMR | Model Comparison | χ2 diff | df | p |
| European American | 17.46 | 18 | .49 | 1.00 | .00 | .04 | -- | -- | -- | -- |
| African American | 16.98 | 18 | .52 | 1.00 | .00 | .04 | -- | -- | -- | -- |
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| Model 1: Equal Form | 34.44 | 36 | .54 | 1.00 | .00 | .04 | -- | -- | -- | -- |
| Model 2a: Equal Loadings | 58.39 | 45 | .09 | .98 | .05 | .08 | 2 vs. 1 | 23.95 | 9 | < .01 |
| Model 2b: Equal Loadings: Mother Anger Freely Estimated | 42.17 | 44 | .55 | 1.00 | .00 | .06 | 2b vs. 1 | 7.73 | 8 | .46 |
| Model 3a: Equal Indicator Intercepts | 56.17 | 50 | .25 | .99 | .03 | .06 | 3 vs. 2b | 14 | 6 | <.05 |
| Model 3b: Equal Indicator Intercepts: Coherence of Mind Freely Estimated | 45.96 | 49 | .60 | 1.00 | .00 | .06 | 3b vs. 2b | 3.79 | 5 | .58 |
| Population Heterogeneity | ||||||||||
| Model 4: Baseline | 43.92 | 47 | .60 | 1.00 | .00 | .05 | -- | -- | -- | -- |
| Model 5: Equal factor variances | 45.96 | 49 | .60 | 1.00 | .00 | .06 | 5 vs. 4 | 2.04 | 2 | .36 |
| Model 6: Equal factor covariances | 47.10 | 50 | .59 | 1.00 | .00 | .06 | 6 vs. 5 | 1.14 | 1 | .29 |
| Model 7: Equal latent mean | 53.54 | 52 | .41 | 1.00 | .02 | .07 | 7 vs. 6 | 6.44 | 2 | < .05 |
Note. The baseline model for evaluation of population heterogeneity is a model in which all measurement parameters previously tested are constrained to equality (with the exception of the mother anger and coherence of mind indicators) but the latent structural parameters (variances, covariances, and means) are freely estimated in one group. N = 259. χ2diff, = nested χ2 difference; CFI, comparative fit index; RMSEA, root mean square error of approximation; SRMR, standardized root mean square residual.