Equivalence theorems for c and DA-optimality for linear mixed effects models with applications to multitreatment group assignments in health care

Xin Liu, Rong Xian Yue, Weng Kee Wong

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We construct (Formula presented.) and (Formula presented.) -optimal approximate designs for linear mixed models with group-specific treatment for estimating parameters or contrasts in the population parameters. We establish equivalence theorems to confirm optimality of these designs under a linear mixed model and provide illustrative application to find (Formula presented.), (Formula presented.) and (Formula presented.) -optimal designs for polynomial and fractional polynomial models with multitreatment group assignments. For more complex models, we briefly review metaheuristics and their potential applications to find various optimal designs, including optimal designs for problems considered here and their extensions.

Original languageEnglish
Pages (from-to)1842-1859
Number of pages18
JournalScandinavian Journal of Statistics
Volume49
Issue number4
DOIs
Publication statusPublished - 2022 Dec

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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