D-optimal population designs in linear mixed effects models for multiple longitudinal data

Hongyan Jiang and Rongxian Yue

Statistical Theory and Related Fields, 2021, vol. 5, issue 2, 88-94

Abstract: The main purpose of this paper is to investigate D-optimal population designs in multi-response linear mixed models for longitudinal data. Observations of each response variable within subjects are assumed to have a first-order autoregressive structure, possibly with observation error. The equivalence theorems are provided to characterise the D-optimal population designs for the estimation of fixed effects in the model. The semi-Bayesian D-optimal design which is robust against the serial correlation coefficient is also considered. Simulation studies show that the correlation between multi-response variables has tiny effects on the optimal design, while the experimental costs are important factors in the optimal designs.

Date: 2021
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DOI: 10.1080/24754269.2021.1884444

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