A new measure of time-varying association for shared frailty models with bivariate current status data

Unkel, Steffen and Farrington, C. Paddy (2012). A new measure of time-varying association for shared frailty models with bivariate current status data. Biostatistics, 13(4) pp. 665–679.

DOI: https://doi.org/10.1093/biostatistics/kxs010

Abstract

In this paper, a new measure for assessing the temporal variation in the strength of association in bivariate current status data is proposed. This novel measure is relevant for shared frailty models. We show that this measure is particularly convenient, owing to its connection with the relative frailty variance and its interpretability in suggesting appropriate frailty models. We introduce a method of estimation and standard errors for this measure. We discuss its properties and compare it to an existing measure of association applicable to current status data. Small sample performance of the measure in realistic scenarios is investigated using simulations. The methods are illustrated with bivariate serological survey data on a pair of infections, where the time-varying association is likely to represent heterogeneities in activity levels and/or susceptibility to infection.

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