Journal
STATISTICS IN MEDICINE
Volume 27, Issue 14, Pages 2601-2617Publisher
WILEY
DOI: 10.1002/sim.3108
Keywords
D-optimality; dropout; linear mixed models; relative efficiency
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Dropout is often encountered in longitudinal data. Optimal designs will usually not remain optimal in the presence of dropout. In this paper, we study D-optimal designs for linear mixed models where dropout is encountered. Moreover, we estimate the efficiency loss in cases where a D-optimal design for complete data is chosen instead of that for data with dropout. Two types of monotonically decreasing response probability functions are investigated to describe dropout. Our results show that the location of D-optimal design points for the dropout case will shift with respect to that for the complete and uncorrelated data case. Owing to this shift, the information collected at the D-optimal design points for the complete data case does not correspond to the smallest variance. We show that the size of the displacement of the time points depends on the linear mixed model and that the efficiency loss is moderate. Copyright (C) 2007 John Wiley & Sons, Ltd.
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