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Analysis of Counts involving Random Effects with Applications in Experimental Biology
Author(s) -
Jansen J.
Publication year - 1993
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710350612
Subject(s) - random effects model , maximum likelihood , statistics , linear model , mathematics , variance components , scale (ratio) , generalized linear mixed model , variance (accounting) , generalized linear model , quasi likelihood , restricted maximum likelihood , count data , computer science , econometrics , physics , meta analysis , accounting , quantum mechanics , business , medicine , poisson distribution
Abstract This paper is concerned with the analysis of count data with special reference to experimental biology and agricultural research. The model considered in this paper is obtained by extending a generalized linear model by introducing random effects with associated variance components on the scale of the linear predictor. Maximum likelihood estimation is discussed and compared with a method which uses a simplified version of the likelihood equations. Two practical applications are used to illustrate the methods.