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

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 th...

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Main Authors:	Martinez Niño, Carlos Alberto, Cruz, N. A., Melo, O. O.
Format:	article
Language:	Inglés
Published:	Springer Nature 2024
Subjects:	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
Online Access:	https://link.springer.com/article/10.1007/s00362-022-01391-z http://hdl.handle.net/20.500.12324/39372 https://doi.org/10.1007/s00362-022-01391-z

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institution	Corporación Colombiana de Investigación Agropecuaria
collection	Repositorio AGROSAVIA
language	Inglés
topic	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
spellingShingle	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 Martinez Niño, Carlos Alberto Cruz, N. A. Melo, O. O. A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures
description	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.
format	article
author	Martinez Niño, Carlos Alberto Cruz, N. A. Melo, O. O.
author_facet	Martinez Niño, Carlos Alberto Cruz, N. A. Melo, O. O.
author_sort	Martinez Niño, Carlos Alberto
title	A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures
title_short	A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures
title_full	A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures
title_fullStr	A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures
title_full_unstemmed	A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures
title_sort	correlation structure for the analysis of gaussian and non-gaussian responses in crossover experimental designs with repeated measures
publisher	Springer Nature
publishDate	2024
url	https://link.springer.com/article/10.1007/s00362-022-01391-z http://hdl.handle.net/20.500.12324/39372 https://doi.org/10.1007/s00362-022-01391-z
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spelling	RepoAGROSAVIA393722024-05-21T03:02:21Z A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures Martinez Niño, Carlos Alberto Cruz, N. A. Melo, O. O. 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 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. 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A correlation structure for the analysis of Gaussian and non-Gaussian responses in crossover experimental designs with repeated measures

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