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Efficient designs for multivariate crossover trials

Author

Listed:
  • Shubham Niphadkar

    (Indian Institute of Technology Bombay)

  • Siuli Mukhopadhyay

    (Indian Institute of Technology Bombay)

Abstract

This article aims to study efficient designs for crossover trials with multiple responses recorded from each subject in the time periods. A multivariate fixed effects model is proposed with direct and carryover effects corresponding to the multiple responses. The corresponding error dispersion matrix is chosen to be either of the proportional or the generalized Markov covariance type, permitting the existence of direct and cross-correlations within and between the multiple responses. The corresponding information matrices for direct effects under the two types of dispersions are used to determine efficient designs. The efficiency of orthogonal array designs of type I and strength 2 is investigated for a wide choice of covariance functions, namely, Mat(0.5), Mat(1.5) and Mat( $$\infty $$ ). To motivate these multivariate crossover designs, a gene expression dataset in a $$3 \times 3$$ framework is utilized.

Suggested Citation

  • Shubham Niphadkar & Siuli Mukhopadhyay, 2025. "Efficient designs for multivariate crossover trials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 88(6), pages 1227-1255, August.
    • Handle: RePEc:spr:metrik:v:88:y:2025:i:6:d:10.1007_s00184-025-01003-4
    DOI: 10.1007/s00184-025-01003-4
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    JEL classification:

    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General

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