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Orthogonalized Residuals for Estimation of Marginally Specified Association Parameters in Multivariate Binary Data
Author(s) -
QAQISH BAHJAT F.,
ZINK RICHARD C.,
PREISSER JOHN S.
Publication year - 2012
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/j.1467-9469.2012.00802.x
Subject(s) - mathematics , multivariate statistics , statistics , logistic regression , binary data , representation (politics) , binary number , econometrics , arithmetic , politics , political science , law
. 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. Efficiency 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.