Optimal designs for comparing population curves in hierarchical models

Xin Liu, Min Ye and Rong-Xian Yue

Statistics & Probability Letters, 2021, vol. 178, issue C

Abstract: We construct μp-optimal approximate designs for comparing population curves in hierarchical models with group-specific treatment. Equivalence theorems are given to confirm μp-optimality of designs and the optimal allocation of sample size in each group. An illustrative application to find μ1 and μ∞-optimal designs is presented for the random slope models with two-treatment group assignments.

Keywords: Equivalence theorem; Hierarchical model; Comparing regression curves; Optimal design (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2021.109192

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