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Additive hazards regression for case-cohort studies. (English) Zbl 0974.62104

Summary: The case-cohort design is a common means of reducing cost in large epidemiological cohort studies. Under this design, covariates are measured only on the cases and a sub-cohort randomly selected from the entire cohort. We demonstrate how to use the case-cohort data to estimate the regression parameter of the additive hazards model, which specifies that the conditional hazard function given a set of covariates is the sum of an arbitrary baseline hazard function and a regression function of the covariates.
The proposed estimator is shown to be consistent and asymptotically normal with an easily estimated variance. The subcohort may be selected by independent Bernoulli sampling with arbitrary selection probabilities or by stratified simple random sampling. The efficiencies of various sampling schemes are investigated both analytically and by simulation. A real example is provided.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62M09 Non-Markovian processes: estimation
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