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Local influence for generalized linear mixed models
Authors:Hong‐Tu Zhu  Sik‐Yum Lee
Abstract:The authors describe a method for assessing model inadequacy in maximum likelihood estimation of a generalized linear mixed model. They treat the latent random effects in the model as missing data and develop the influence analysis on the basis of a Q‐function which is associated with the conditional expectation of the complete‐data log‐likelihood function in the EM algorithm. They propose a procedure to detect influential observations in six model perturbation schemes. They also illustrate their methodology in a hypothetical situation and in two real cases.
Keywords:Generalized linear mixed model  local influence  missing data  Q‐displacement function  perturbation
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