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A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures

Author

Listed:
  • N. A. Cruz

    (Universidad Nacional de Colombia)

  • O. O. Melo

    (Universidad Nacional de Colombia)

  • C. A. Martinez

    (Corporación Colombiana de Investigación Agropecuaria – AGROSAVIA, Sede Central)

Abstract

In this paper, we propose a family of correlation structures for crossover designs with repeated measures for both, Gaussian and non-Gaussian responses using generalized estimating equations (GEE). The structure considers two matrices: one that models between-period correlation and another one that models within-period correlation. The overall correlation matrix, which is used to build the GEE, corresponds to the Kronecker between these matrices. A procedure to estimate the parameters of the correlation matrix is proposed, its statistical properties are studied and a comparison with standard models using a single correlation matrix is carried out. A simulation study showed a superior performance of the proposed structure in terms of the quasi-likelihood criterion, efficiency, and the capacity to explain complex correlation phenomena patterns in longitudinal data from crossover designs.

Suggested Citation

  • N. A. Cruz & O. O. Melo & C. A. Martinez, 2024. "A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures," Statistical Papers, Springer, vol. 65(1), pages 263-290, February.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:1:d:10.1007_s00362-022-01391-z
    DOI: 10.1007/s00362-022-01391-z
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