Model Identification and Computer Algebra

November 12, 2010

ResearchBlogging.orgKenneth A. Bollen and Shawn Bauldry, Model Identification and Computer Algebra, Sociological Methods & Research 2010 39: 127-156.

Multiequation models that contain observed or latent variables are common in the social sciences. To determine whether unique parameter values exist for such models, one needs to assess model identification. Read the rest of this entry »

Kenneth A. Bollen, James B. Kirby, Patrick J. Curran, Pamela M. Paxton, and Feinian Chen Latent Variable Models Under Misspecification: Two-Stage Least Squares (2SLS) and Maximum Likelihood (ML) Estimators Sociological Methods & Research 2007 36: 48-86

February 7, 2010

This article compares maximum likelihood (ML) estimation to three variants of two-stage least squares (2SLS) estimation in structural equation models. The authors use models that are both correctly and incorrectly specified. Simulated data are used to assess bias, efficiency, and accuracy of hypothesis tests. Generally, 2SLS with reduced sets of instrumental variables performs similarly to ML when models are correctly specified. Under correct specification, both estimators have little bias except at the smallest sample sizes and are approximately equally efficient. As predicted, when models are incorrectly specified, 2SLS generally performs better, with less bias and more accurate hypothesis tests. Unless a researcher has tremendous confidence in the correctness of his or her model, these results suggest that a 2SLS estimator should be considered.

Key Words: 2SLS • misspecification • latent variable models • structural equation models • FIML • specification error