I'm new to path analysis in SEM and suspicious about my model fit indices in R / lavaan:
As you can see, my RMSEA == 0 and CFI == 1 which I would expect from an just-identified, but since Degrees of freedom == 3 the model is over-identified. Any idea what this could indicate?
Code:
lavaan 0.6-6 ended normally after 27 iterations
Estimator ML
Optimization method NLMINB
Number of free parameters 12
Number of observations 334
Model Test User Model:
Test statistic 0.009
Degrees of freedom 3
P-value (Chi-square) 1.000
Model Test Baseline Model:
Test statistic 935.129
Degrees of freedom 10
P-value 0.000
User Model versus Baseline Model:
Comparative Fit Index (CFI) 1.000
Tucker-Lewis Index (TLI) 1.011
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -1899.563
Loglikelihood unrestricted model (H1) -1899.559
Akaike (AIC) 3823.127
Bayesian (BIC) 3868.860
Sample-size adjusted Bayesian (BIC) 3830.795
Root Mean Square Error of Approximation:
RMSEA 0.000
90 Percent confidence interval - lower 0.000
90 Percent confidence interval - upper 0.000
P-value RMSEA <= 0.05 1.000
Standardized Root Mean Square Residual:
SRMR 0.002
Parameter Estimates:
Standard errors Bootstrap
Number of requested bootstrap draws 1000
Number of successful bootstrap draws 1000