6533b7dbfe1ef96bd1271374

RESEARCH PRODUCT

A Monte Carlo study comparing PIV, ULS and DWLS in the estimation of dichotomous confirmatory factor analysis

Steffen Nestler

subject

Statistics and ProbabilityArts and Humanities (miscellaneous)Sample size determinationMonte Carlo methodStatisticsInstrumental variable estimatorGeneral MedicinePolychoric correlationLeast squaresGeneral PsychologyConfirmatory factor analysisFactor analysisMathematics

description

We conducted a Monte Carlo study to investigate the performance of the polychoric instrumental variable estimator (PIV) in comparison to unweighted least squares (ULS) and diagonally weighted least squares (DWLS) in the estimation of a confirmatory factor analysis model with dichotomous indicators. The simulation involved 144 conditions (1,000 replications per condition) that were defined by a combination of (a) two types of latent factor models, (b) four sample sizes (100, 250, 500, 1,000), (c) three factor loadings (low, moderate, strong), (d) three levels of non-normality (normal, moderately, and extremely non-normal), and (e) whether the factor model was correctly specified or misspecified. The results showed that when the model was correctly specified, PIV produced estimates that were as accurate as ULS and DWLS. Furthermore, the simulation showed that PIV was more robust to structural misspecifications than ULS and DWLS.

yearjournalcountryeditionlanguage
2012-04-24British Journal of Mathematical and Statistical Psychology
https://doi.org/10.1111/j.2044-8317.2012.02044.x