Likelihood-Based Inference on Genetic Variance Component with a Hierarchical Poisson Generalized Linear Mixed Model

Lee, C.

doi:2000.13.8.1035

Article

Animal Breeding and Genetics

Asian-Australasian Journal of Animal Sciences 2000;13(8): 1035-1039.
https://doi.org/10.5713/ajas.2000.1035 Published online August 1, 2000.

Likelihood-Based Inference on Genetic Variance Component with a Hierarchical Poisson Generalized Linear Mixed Model

C. Lee

Abstract

This study developed a Poisson generalized linear mixed model and a procedure to estimate genetic parameters for count traits. The method derived from a frequentist perspective was based on hierarchical likelihood, and the maximum adjusted profile hierarchical likelihood was employed to estimate dispersion parameters of genetic random effects. Current approach is a generalization of Henderson''''s method to non-normal data, and was applied to simulated data. Underestimation was observed in the genetic variance component estimates for the data simulated with large heritability by using the Poisson generalized linear mixed model and the corresponding maximum adjusted profile hierarchical likelihood. However, the current method fitted the data generated with small heritability better than those generated with large heritability.

Keywords: Count Variable; Dispersion Parameter; Maximum Adjusted Profile Hierarchical Likelihood