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<p>The use of intraclass correlation to determine the strength of intrafamily resemblance is a typical practice in disciplines like psychology, epidemiology and genetics. In this paper we generalize the commonly used intraclass correlation models to the context of linear mixed models with multiple groups and investigate the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\phi _k\)</EquationSource> </InlineEquation>-optimal design problem for such models. To be precise, we establish equivalence conditions to verify the optimality of a given design and provide various applications to exemplify the derived theoretical findings.</p>

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Optimal designs for multi-group linear mixed models with intraclass covariance structure

  • 期刊论文

  • 发表日期：

    2026年1月28日

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  • Lei He,
  • Ao Xu,
  • Xiao-Dong Zhou

摘要

The use of intraclass correlation to determine the strength of intrafamily resemblance is a typical practice in disciplines like psychology, epidemiology and genetics. In this paper we generalize the commonly used intraclass correlation models to the context of linear mixed models with multiple groups and investigate the \(\phi _k\) -optimal design problem for such models. To be precise, we establish equivalence conditions to verify the optimality of a given design and provide various applications to exemplify the derived theoretical findings.