Qaqish Bahjat F, Zink Richard C, Preisser John S
Department of Biostatistics, University of North Carolina at Chapel Hill.
Scand Stat Theory Appl. 2012 Sep 1;39(3):515-527. doi: 10.1111/j.1467-9469.2012.00802.x. Epub 2012 Jul 2.
This paper focuses on marginal regression models for correlated binary responses when estimation of the association structure is of primary interest. A new estimating function approach based on orthogonalized residuals is proposed. A special case of the proposed procedure allows a new representation of the alternating logistic regressions method through marginal residuals. The connections between second-order generalized estimating equations, alternating logistic regressions, pseudo-likelihood and other methods are explored. Eficiency comparisons are presented, with emphasis on variable cluster size and on the role of higher-order assumptions. The new method is illustrated with an analysis of data on impaired pulmonary function.
本文聚焦于当关联结构的估计为主要关注点时，用于相关二元响应的边际回归模型。提出了一种基于正交化残差的新估计函数方法。所提程序的一个特殊情况允许通过边际残差对交替逻辑回归方法进行新的表示。探讨了二阶广义估计方程、交替逻辑回归、伪似然及其他方法之间的联系。给出了效率比较，重点在于变量聚类大小以及高阶假设的作用。通过对肺功能受损数据的分析来说明新方法。
