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D-optimal designs formulti-response linear mixed models

  • Author(s): Liu, Xin
  • Yue, Rong-Xian
  • Wong, Weng Kee
  • et al.
Abstract

Linear mixed models have become popular in many statistical applications duringrecent years. However design issues for multi-response linear mixed models are rarelydiscussed. Themain purpose of this paper is to investigate D-optimal designs formultiresponselinear mixed models. We provide two equivalence theorems to characterizethe optimal designs for the estimation of the fixed effects and the prediction of randomeffects, respectively. Two examples of the D-optimal designs formulti-response linearmixed models are given for illustration.

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