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Research article - Peer-reviewed, 2017

Influence diagnostics for count data under AB-BA crossover trials

Hao, Chengcheng; von Rosen, Dietrich; von Rosen, Tatjana


This paper aims to develop diagnostic measures to assess the influence of data perturbations on estimates in AB-BA crossover studies with a Poisson distributed response. Generalised mixed linear models with normally distributed random effects are utilised. We show that in this special case, the model can be decomposed into two independent sub-models which allow to derive closed-form expressions to evaluate the changes in the maximum likelihood estimates under several perturbation schemes. The performance of the new influence measures is illustrated by simulation studies and the analysis of a real dataset.


Generalised mixed linear model; Influential observation; model diagnostics; perturbation scheme; Poisson model

Published in

Statistical Methods in Medical Research
2017, Volume: 26, number: 6, pages: 2938-2950

    UKÄ Subject classification

    Probability Theory and Statistics

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