Utilization of Sample Weights in Single-Level Structural Equation Modeling

Abstract

ABSTRACT. Complex survey designs often employ multistage cluster sampling designs and oversample particular units to ensure more accurate population parameter estimates. These issues must be accommodated in the analysis to ensure accurate parameter estimation. Incorporation of sample weights in some statistical procedures has been studied. However, research on the behavior of sample weights on estimates, standard errors, and fit measures in latent variable models is negligible, and studies examining methodology on latent variable modeling applications using extant data are rare. Using the Beginning Postsecondary Students Longitudinal Study 1990/92/94, the authors found, with mixed results, that a statistically significant difference exists in estimates and fit indices when weights and designs are applied versus when they are ignored.

Keywords:

• complex samples
• design-based approach
• design effect adjusted weights
• latent variable modeling
• sample weights
• structural equation modeling