References on Monte Carlo simulations to test effects of estimators, sample size, model misspecification on parameter estimates and  fit indices.
 

Curran, P. S., West, S. G., & Finch, J.F. (1996). The robustness of test

statistics to non-normality and specification errors in confirmatory factor

analysis. Psychological Methods, 1, 16-29.

Fan, X., Thompson, B., & Wang, L. (1999). Effects of sample size, estimation

method, and model specification on structural equation modeling fit indexes.

Structural Equation Modeling, 6, 56-83.

Fouladi, R.T. (2000) Performance of modified test statistics in covariance

and correlation structure analysis under conditions of multivariate

nonnormality. Structural Equation Modeling, 7(3), 356-410.

Hu, L-T., & Bentler, P.M. (1998). Fit indices in covariance structure

modeling: Sensitivity to underparameterized model misspecification.

Psychological Methods, 3(4), 424-453.

Nevitt, J., & Hancock, G.R. (2000). Improving the root mean square error of

approximation for nonnormal conditions in structural equation modeling.

Journal of Experimental Education, 68(3), 251-268.

Yuan, K-H., & Bentler, P. M. (1998). Normal theory based test statistics in

structural equation modelling. British Journal of Mathematical and

Statistical Psychology, 51, 289-309.