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Local influence analysis in 2 X 2 cross-over designs
Stockholm University, Faculty of Social Sciences, Department of Statistics.
Stockholm University, Faculty of Social Sciences, Department of Statistics.
Department of Energy and Technology, Swedish University of Agricultural Sciences.
2011 (English)Report (Other academic)
Abstract [en]

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
Keyword [en]
Cross-over design modelling, Explicit maximum likelihood estimate, Influential observation, Mixed linear model, Perturbation scheme, Statistical diagnostics
National Category
Probability Theory and Statistics
Research subject
URN: urn:nbn:se:su:diva-72071OAI: diva2:488890
Available from: 2012-09-10 Created: 2012-02-02 Last updated: 2012-09-10Bibliographically approved

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ReferencesLink to record
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