An Alternative Method for Estimating Variance Components in Generalizability Theory
George A. Marcoulides
Abstract
George A. Marcoulides
Abstract
This study compares, using simulated data, two methods for estimating variance components in generalizability (G) studies. Traditionally variance components are estimated from an analysis of variance of sample data. The alternative method for estimating variance components is restricted maximum likelihood (REML). The results indicate that REML provides estimates for the components in the various designs that are closer to the true parameters than the estimates from analysis of variance.
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This study compares, using simulated data, two methods for estimating variance components in generalizability (G) studies. Traditionally variance components are estimated from an analysis of variance of sample data. The alternative method for estimating variance components is restricted maximum likelihood (REML). The results indicate that REML provides estimates for the components in the various designs that are closer to the true parameters than the estimates from analysis of variance.
Key concepts: Generalizability theory, Variance components, Restricted maximum likelihood, Variance (accounting), Statistics, One-way analysis of variance, Analysis of variance, Econometrics