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Form and selection of covariance adjusted estimators in repeated measures models
Institution:3. From the Department of Biological Sciences, Hunter College of the City University of New York, New York, New York 10065;4. Biochemistry Program, Graduate Center of the City University of New York, New York, New York 10016;5. Biology Program, Graduate Center of the City University of New York, New York, New York 10016,;6. Children''s Medical Center Research Institute, University of Texas Southwestern Medical Center, Dallas, Texas 75390;1. Institute of Agricultural and Environmental Chemistry, Università Cattolica del Sacro Cuore di Piacenza, Via Emilia Parmense 84, 29100 Piacenza, Italy;2. Water and Soil Quality Research Group, Dep. of Environmental Chemistry, IDAEA-CSIC, Jordi Girona 18-26, 08034 Barcelona, Spain;1. Department of Analytical Chemistry, Faculty of Chemistry, Universidad Complutense de Madrid, E-28040 Madrid, Spain;2. Institute of Materials Research and Engineering (IMRE), University of Havana, Havana 10400, Cuba;3. CEI Campus Moncloa, UCM-UPM, Avda Complutense s/n, E-28040 Madrid, Spain;4. Department of Organic Chemistry, Faculty of Chemistry, Universidad Complutense de Madrid, E-28040 Madrid, Spain;5. Institute for Food and Agricultural Research and Technology, Food Safety Program, Granja Camps i Armet s/n, Monells 17121, Girona, Spain;3. Minerva Max Planck Research Group, Molecular Physiology, Center of Advanced European Studies and Research (caesar), 53175 Bonn, Germany;4. Department of Molecular Sensory Systems, Center of Advanced European Studies and Research (caesar), 53175 Bonn, Germany;5. Department of Cell Biology of Lipids, LIMES Institute, University of Bonn, Bonn, Germany;6. LIMES Institute, c/o Kekulé-Institute, University of Bonn, 53115 Bonn, Germany;12. Proteomic Core Facility, EMBL Heidelberg, 69117 Heidelberg, Germany;8. Biochemie-Zentrum (BZH), Ruprecht-Karls-University Heidelberg, 69120 Heidelberg, Germany;9. Department of Biomolecular Sciences, Weizmann Institute of Science, Rehovot 76100, Israel;10. Institute of Innate Immunity, University Hospital, University of Bonn, 53127 Bonn, Germany;1. Department of Chemical Engineering, University of Virginia, Charlottesville, VA, USA;2. Bristol-Myers Squibb, Hopewell, NJ, USA
Abstract:The GMANOVA model is considered when one characteristic is measured at q time points. The covariance adjusted estimator is the OLS estimator adjusted using analysis of covariance. The covariates are obtained from the space vertical to that derived from the design matrix. Its form is obtained as a GLS estimator using a weight matrix of reduced rank unless all available covariates are used. The choice of the appropriate covariate combination is made by introducing a method based on cross validation (CV). A comparison is made with two other methods that appeared in statistical literature using simulation.
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