This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 29
Type: Contributed
Date/Time: Sunday, August 1, 2010 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #306792
Title: On the Optimal Allocation of Time Points of Heterogeneous Time-Structured Data
Author(s): Martijn P.F. Berger*+
Companies: Maastricht University
Address: P.O. Box 616, , 6200MD, The Netherlands
Keywords: optimal design ; time-structured measurements ; Efficiency ; Heterogeneity of errors

Time-structured repeated measurements are frequently encountered in social and biomedical research. Time-structured measurements usually have a serial correlated structure and show heterogeneity of the variance of the responses. Linear mixed effects models can analyze such time-structured data with a heterogeneous error correlation structure. The optimal allocation and number of time points depends on the size of the correlations among the repeated measurements and also on the degree of heterogeneity of the response variances. In this presentation we compare the efficiency of designs with different allocations of time points and show that the optimal allocation of the time points shifts in the direction of the time points with responses having the smallest variances. We also show how efficiency loss depends on the heterogeneity pattern of the variances of the repeated measurements.

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