A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures
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Springer Nature
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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.
Facultad de Enfermería, Universidad Nacional de Colombia, Bogotá, Colombia
Facultad de Enfermería, Universidad Nacional de Colombia, Bogotá, Colombia
Palabras clave
Carry-over effect, Cross-over design, Generalized estimating equations, Kronecker correlation, Overdispersion count data, Ecuaciones, Dispersión, Métodos estadísticos, Ganadería y especies menores, http://aims.fao.org/aos/agrovoc/c_8bc08746, http://aims.fao.org/aos/agrovoc/c_2333, http://aims.fao.org/aos/agrovoc/c_7377