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A Bivariate Cure‐Mixture Approach for Modeling Familial Association in Diseases
Author(s) -
Chatterjee Nilanjan,
Shih Joanna
Publication year - 2001
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.2001.00779.x
Subject(s) - bivariate analysis , pairwise comparison , estimator , correlation , statistics , estimation , biometrics , association (psychology) , medicine , kinship , econometrics , computer science , mathematics , artificial intelligence , psychology , geometry , management , economics , psychotherapist , political science , law
Summary. For modeling correlation in familial diseases with variable ages at onset, we propose a bivariate model that incorporates two types of pairwise association, one between the lifetime risk or the overall susceptibility of two individuals and one between the ages at onset between two susceptible individuals. For estimation, we consider a two‐stage estimation procedure similar to that of Shih (1998, Biometrics 54 , 1115–1128). We evaluate the properties of the estimators through simulations and compare the performance with that from a bivariate survival model that allows correlation between ages at onset only. We apply the methodology to breast cancer using the kinship data from the Washington Ashkenazi Study. We also discuss potential applications of the proposed method in the area of cure modeling.