Optimal designs for linear mixed models with group-specific treatment effects
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：Rongxian Yue (Shanghai Normal University)
： 2024-11-01 15:30
：Conference Room 107 at Experiment Building at Haiyun Campus
Speaker：Rongxian Yue (Shanghai Normal University)
Time：2024-11-1, 15:30
Location：Conference Room 107 at Experiment Building at Haiyun Campus
Abstract:
This work concerns with optimal designs for linear mixed models with group-specific treatment. The c- and DA-optimality criteria are considered for estimating one or several linear combinations of the population parameters. Two equivalence theorems are given to verify the c- and DA-optimality of designs under a linear mixed model. Several examples are provided to illustrative application to find c-, D-, DA-optimal designs for polynomial and fractional polynomial models with multi-treatment group assignments.
