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Influence analysis in two-treatment cross-over designs with special reference to the ABBA|BAAB design
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]

This work is to develop methodology to detect influential observations in linear mixed model for multiple-period two-treatment cross-over designs. Existence of explicit maximum likelihood estimates (MLEs) of variance parameters as well as of mean parameters in the mixed model with treatment, residual, period and sequence effects is proven. Special reference is taken to the four-period ABBA|BAAB design. Case-weighted perturbations are performed. The influence quantities on each parameter estimate and their dispersion matrix are presented as closed-form functions of residuals in the unperturbed model.

Place, publisher, year, edition, pages
Stockholm: Department of Statistics, Stockholm University , 2011. , 24 p.
Series
Research Report / Department of Statistics, Stockholm University, ISSN 0280-7564 ; 2011:2
Keyword [en]
Delta-beta influence, Explicit maximum likelihood estimate, Mixed linear model, Multiple-period cross-over design, Perturbation scheme, Variance-ratio influence
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
URN: urn:nbn:se:su:diva-72076OAI: oai:DiVA.org:su-72076DiVA: diva2:488912
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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