Table 4:
Results of Measurement Invariance Tests with Externalizing Psychopathology Model
| Model | −2LL | df | est. par. | AIC | BIC | χ2 | LRT | diff df | p |
|---|---|---|---|---|---|---|---|---|---|
| Base | 24,504.2 | 16,288 | 36 | −8,071.8 | −107,242.3 | 131.1 | - | - | - |
| Weak | 25,505.1 | 16,291 | 36 | −8,076.9 | −107,265.7 | 132.0 | 0.89 | 3 | .83 |
| Strong | 24,506.3 | 16,291 | 33 | −8,075.7 | −107.264.5 | 133.2 | 2.03 | 3 | .57 |
| Biometric | 24,505.8 | 16,291 | 33 | −8.076.2 | −107,264.9 | 132.8 | 1.61 | 3 | .66 |
| Biometric and Strong | 24,507.7 | 16,294 | 30 | −8080.3 | −107,287.3 | 134.7 | 3.51 | 6 | .74 |
| Strict | 24,564.6 | 16,300 | 24 | −8.035.4 | −107,278.9 | 191.6 | 60.40 | 12 | 1.9 × 10−8 |
Note: Base model is the single factor model. Biometric invariance constrains the factor variance components to be equivalent between states. −2LL = log likelihood; df = degrees of freedom for model where the number of estimated parameters is subtracted from the total number of observations (N individuals multiplied by n non-missing symptom counts); est. par. = Estimated Parameters; AIC = Akaike Information Criterion; BIC = Bayesian Information Criterion; LRT = Likelihood Ratio Test, diff df= degrees of freedom for LRT. Best fitting model (by AIC and BIC) is bolded.