title: Orthogonalized residuals for estimation of marginally specified association parameters in multivariate binary data.
abstract: 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.
authors.affiliation: Department of Biostatistics, University of North Carolina at Chapel Hill.
authors.forename: Bahjat F
authors.initials: BF
authors.lastname: Qaqish
authors.forename: Richard C
authors.initials: RC
authors.lastname: Zink
authors.forename: John S
authors.initials: JS
authors.lastname: Preisser