JSM 2011 Online Program

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Abstract Details

Activity Number: 34
Type: Contributed
Date/Time: Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
Sponsor: Biopharmaceutical Section
Abstract - #301856
Title: Optimal Longitudinal Cohort Designs and Parameter Estimation
Author(s): Lu Gan*+ and Subir Ghosh
Companies: University of California at Riverside and University of California at Riverside
Address: Department of Statistics, Riverside, CA, 92521,
Keywords: Cohort Design ; Design Optimality ; Mixed Effects ; Model REML ; Variance Estimation
Abstract:

For a longitudinal study in two cohorts with n subjects each, the observations are taken at three different time points denoted by (-1, x, 1) where -1 < x < 1. Our class of longitudinal cohort designs is{(-1, x1, 1) (-1, x2, 1); -1 < x1 = x2< 1}. For a linear mixed effects model, we obtain designs for estimating the fixed effects parameters under the standard D-, A-, and E- optimality criteria. We present the Restricted Maximum Likelihood (REML) estimates of variance components under certain model assumptions.


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