Influence diagnostics for count data under AB-BA crossover trials

Abstract

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.

Keywords

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
Publisher: SAGE PUBLICATIONS LTD

SLU Authors

• von Rosen, Dietrich

  • Department of Energy and Technology, Swedish University of Agricultural Sciences
    
  • Linköping University

UKÄ Subject classification

Probability Theory and Statistics

Publication identifier

• DOI: https://doi.org/10.1177/0962280215615597

Permanent link to this page (URI)

https://res.slu.se/id/publ/93387