Local influence analysis in 2 X 2 cross-over designs
2011 (English)Report (Other academic)
The aim of this work is to develop new methodology to detect influential observations in cross-over design models with random individual effects. Various case-weighted perturbations are performed. We derive the exact solution of influence of the perturbations on each parameter estimate and their dispersion matrix. Closed-form maximum likelihood estimates (MLEs) of variance parameters as well as fixed effect parameters in the cross-over design models are utilised. The work exhibits the possibility to produce closed-form expressions of the influence using the residuals in mixed models. A discussion on restrictions of the case-weighted perturbation schemes is given. Some graphical tools are also presented.
Place, publisher, year, edition, pages
Stockholm: Department of Statistics, Stockholm University , 2011. , 24 p.
Research Report / Department of Statistics, Stockholm University, ISSN 0280-7564 ; 2011: 1
Cross-over design modelling, Explicit maximum likelihood estimate, Influential observation, Mixed linear model, Perturbation scheme, Statistical diagnostics
Probability Theory and Statistics
Research subject Statistics
IdentifiersURN: urn:nbn:se:su:diva-72071OAI: oai:DiVA.org:su-72071DiVA: diva2:488890