A Numerical Study of PQL Estimation Biases in Generalized Linear Mixed Models Under Heterogeneity of Random Effects |
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Authors: | Woncheol Jang Johan Lim |
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Affiliation: | 1. Department of Epidemiology and Biostatistics , University of Georgia , Athens , Georgia , USA jang@uga.edu;3. Department of Statistics , Seoul National University , Seoul , Korea |
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Abstract: | The penalized quasi-likelihood (PQL) approach is the most common estimation procedure for the generalized linear mixed model (GLMM). However, it has been noticed that the PQL tends to underestimate variance components as well as regression coefficients in the previous literature. In this article, we numerically show that the biases of variance component estimates by PQL are systematically related to the biases of regression coefficient estimates by PQL, and also show that the biases of variance component estimates by PQL increase as random effects become more heterogeneous. |
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Keywords: | Generalized linear mixed models Heterogeneity Penalized quasi-likelihood estimator Variance components |
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