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

N. A. Cruz (), O. O. Melo () and C. A. Martinez ()
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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

Statistical Papers, 2024, vol. 65, issue 1, No 11, 263-290

Abstract: 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.

Keywords: Carry-over effect; Cross-over design; Generalized estimating equations; Kronecker correlation; Overdispersion count data (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00362-022-01391-z

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