A robust method for finely stratified familial studies with proband-based sampling

This paper presents a robust method to conduct inference in finely stratified familial studies under proband-based sampling.We assume that the interest is in both the marginal effects of subject-specific covariates on a binary response and the familial aggregation of the response, as quantified by intrafamilial pairwise odds ratios.We adopt an estimating function for proband-based family studies originally developed by Zhao and others (1998) in the context of an unstratified design and treat the stratification effects as fixed nuisance parameters.Our method requires modeling only the first 2 joint moments of the observations and reduces by 2 orders of magnitude the bias induced by fitting the stratum-specific nuisance parameters.An analytical standard error estimator for the proposed estimator is also provided.The proposed approach is applied to a matched case.control familial study of sleep apnea. A simulation study confirms the usefulness of the approach.