The Incorporation of Sample Weights Into Multilevel Structural Equation Models
- 1 October 2002
- journal article
- Published by Taylor & Francis in Structural Equation Modeling: A Multidisciplinary Journal
- Vol. 9 (4) , 475-502
- https://doi.org/10.1207/s15328007sem0904_2
Abstract
Over the past decade and a half, methodologists working with structural equation modeling (SEM) have developed approaches for accommodating multilevel data. These approaches are particularly helpful when modeling data that come from complex sampling designs. However, most data sets that are associated with complex sampling designs also include observation weights, and methods to incorporate these sampling weights into multilevel SEM analyses have not been addressed. This article investigates the use of different weighting techniques and finds, through a simulation study, that the use of an effective sample size weight provides unbiased estimates of key parameters and their sampling variances. Also, a popular normalization technique of scaling weights to reflect the actual sample size is shown to produce negatively biased sampling variance estimates, as well as negatively biased within-group variance parameter estimates in the small group size case.This publication has 15 references indexed in Scilit:
- The Accuracy of Multilevel Structural Equation Modeling With Pseudobalanced Groups and Small SamplesStructural Equation Modeling: A Multidisciplinary Journal, 2001
- On the utilization of sample weights in latent variable modelsStructural Equation Modeling: A Multidisciplinary Journal, 1999
- Robustness Studies in Covariance Structure ModelingSociological Methods & Research, 1998
- A didactic example of multilevel structural equation modeling applicable to the study of organizationsStructural Equation Modeling: A Multidisciplinary Journal, 1997
- Survey Inference for SubpopulationsAmerican Journal of Epidemiology, 1996
- Complex Sample Data in Structural Equation ModelingSociological Methodology, 1995
- Multilevel Covariance Structure AnalysisSociological Methods & Research, 1994
- The Role of Sampling Weights When Modeling Survey DataInternational Statistical Review, 1993
- Ignorable and informative designs in survey sampling inferenceBiometrika, 1984
- Models in the Practice of Survey SamplingInternational Statistical Review, 1983