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. This procedure allows a new representation and addresses some of the difficulties of the conditional-residual formulation of alternating logistic regressions of Carey, Zeger & Diggle (1993). The new method is illustrated with an analysis of data on impaired pulmonary function.
Multivariate Analysis | Statistical Methodology | Statistical Models | Statistical Theory
Zink, Richard C. and Qaqish, Bahjat F., "Correlated Binary Regression Using Orthogonalized Residuals" (March 2009). COBRA Preprint Series. Working Paper 51.