In this study, 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

翻译：在本研究中,我们建议对交叉重叠设计建立一系列关联结构,同时对高山和非高加索国家采用通用估计方程(GEE)反复采取措施。结构考虑了两个矩阵:一个是周期间相关模型,另一个是周期内相关模型。用于建立通用环境设计的总体关联矩阵与这些矩阵之间的克龙克尔对应。提出了估计相关矩阵参数的程序,研究了其统计属性,并用单一相关矩阵与标准模型进行了比较。模拟研究表明,拟议结构在准类似标准、效率和解释跨系统设计复杂相关现象/模式数据的能力方面表现优异。