%0 Journal Article
%T Regression standardization and attributable fraction estimation with between
%A Arvid Sj£¿lander
%A Elisabeth Dahlqwist
%A Yudi Pawitan
%J Statistical Methods in Medical Research
%@ 1477-0334
%D 2019
%R 10.1177/0962280217727558
%X The between-within frailty model has been proposed as a viable analysis tool for clustered survival time outcomes. Previous research has shown that this model gives consistent estimates of the exposure¨Coutcome hazard ratio in the presence of unmeasured cluster-constant confounding, which the ordinary frailty model does not, and that estimates obtained from the between-within frailty model are often more efficient than estimates obtained from the stratified Cox proportional hazards model. In this paper, we derive novel estimation techniques for regression standardization with between-within frailty models. We also show how between-within frailty models can be used to estimate the attributable fraction function, which is a generalization of the attributable fraction for survival time outcomes. We illustrate the proposed methods by analyzing a large cohort on preterm birth and attention deficit hyperactivity disorder. To facilitate use of the proposed methods, we provide R code for all analyses
%K Attributable fraction function
%K between-within model
%K clustered data
%K Cox proportional hazards model
%K frailty model
%K regression standardization
%U https://journals.sagepub.com/doi/full/10.1177/0962280217727558