An Approximate Restricted Likelihood Ratio Test for Variance Components in Generalized Linear Mixed Models
Abstract
Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that conducts testing on the working responses used in penalized quasi-likelihood estimation. This presents the hypothesis test in terms of normalized responses, allowing for application of existing testing methods for linear mixed models. Our test is flexible, computationally efficient, and outperforms several competitors. We illustrate the utility of the proposed method with an extensive simulation study and two data applications. An R package is provided.
Cite
@article{arxiv.1906.03320,
title = {An Approximate Restricted Likelihood Ratio Test for Variance Components in Generalized Linear Mixed Models},
author = {Stephanie T. Chen and Luo Xiao and Ana-Maria Staicu},
journal= {arXiv preprint arXiv:1906.03320},
year = {2019}
}
Comments
19 pages, 1 figure, Supplementary Materials (additional simulation results) excluded for brevity