Abstract
Case-cohort design usually requires the disease rate to be low in large cohort study, although it has been extensively used in practice. However, the disease with high rate is frequently observed in many clinical studies. Under such circumstances, it is desirable to consider a generalized case-cohort design, where only a fraction of cases are sampled. In this article, we propose the inference procedure for the additive hazards regression under the generalized case-cohort sampling. Asymptotic properties of the proposed estimators for the regression coefficients are established. To demonstrate the effectiveness of the generalized case-cohort sampling, we compare it with simple random sampling in terms of asymptotic relative efficiency. Furthermore, we derive the optimal allocation of the subsamples for the proposed design. The finite sample performance of the proposed method is evaluated through simulation studies.
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The first author is supported by the Fundamental Research Fund for the Central Universities; the third author is supported by National Natural Science Foundation of China (Grant No. 11301545); the last author is supported by National Natural Science Foundation of China (Grant No. 11171263)
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Yu, J.C., Shi, Y.Y., Yang, Q.L. et al. Additive hazards regression under generalized case-cohort sampling. Acta. Math. Sin.-English Ser. 30, 251–260 (2014). https://doi.org/10.1007/s10114-014-3180-x
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DOI: https://doi.org/10.1007/s10114-014-3180-x