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Additive-multiplicative hazards model for case-cohort studies with multiple disease outcomes

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Abstract

Case-cohort design is an efficient and economical design to study risk factors for diseases with expensive measurements, especially when the disease rate is low. When several diseases are of interest, multiple case-cohort design studies may be conducted using the same subcohort. To study the association between risk factors and each disease occurrence or death, we consider a general additive-multiplicative hazards model for case-cohort designs with multiple disease outcomes. We present an estimation procedure for the regression parameters of the additive-multiplicative hazards model, and show that the proposed estimator is consistent and asymptotically normal. Large sample approximation works well in finite sample studies in simulation. Finally, we apply the proposed method to a real data example for illustration.

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Acknowledgements

The authors thank Professor Matthew Knuiman and the Busselton Population Medical Research Foundation for permission to use the Busselton Health Study data in illustration. The authors are grateful to the responsible editor and the anonymous referees for their valuable comments which have greatly improved the earlier version of the paper.

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Authors and Affiliations

  1. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, 200433, China

    Jun-e Liu

  2. School of Management, Huaibei Normal University, Huaibei, 235000, China

    Jun-e Liu

  3. School of Mathematics, Capital Normal University, Beijing, 100048, China

    Jie Zhou

Authors
  1. Jun-e Liu
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  2. Jie Zhou
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Correspondence to Jie Zhou.

Additional information

The first author’s research was partly supported by the Natural Science Research Project of Universities of Anhui Province (No. KJ2016B026). The second author’s research was partly supported by the National Natural Science Foundation of China Grants (No. 11301355) and the Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of Beijing, China.

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Liu, Je., Zhou, J. Additive-multiplicative hazards model for case-cohort studies with multiple disease outcomes. Acta Math. Appl. Sin. Engl. Ser. 33, 183–192 (2017). https://doi.org/10.1007/s10255-017-0679-9

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  • DOI: https://doi.org/10.1007/s10255-017-0679-9

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