标题： 交叉设计重复测量实验中分析高斯和非高斯响应的相关结构 显示英文标题

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

摘要： 本研究提出了一组相关结构，用于具有重复测量的交叉设计，适用于高斯和非高斯响应，使用广义估计方程（GEE）。该结构考虑了两个矩阵：一个用于建模周期间相关性，另一个用于建模周期内相关性。用于构建GEE的整体相关矩阵对应于这两个矩阵的Kronecker积。提出了一种估计相关矩阵参数的程序，研究了其统计特性，并与使用单一相关矩阵的标准模型进行了比较。模拟研究表明，所提出的结构在拟似然准则、效率以及解释交叉设计纵向数据中复杂相关现象/模式方面表现更优。 显示英文摘要

摘要： 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