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Censored regression with the multistate accelerated sojourn times model

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  • Yijian Huang

Abstract

Many disease processes are characterized by two or more successive health states, and it is often of interest and importance to assess state‐specific covariate effects. However, with incomplete follow‐up data such inference has not been satisfactorily addressed in the literature. We model the logarithm‐transformed sojourn time in each state as linearly related to the covariates; however, neither the distributional form of the error term nor the dependence structure of the states needs to be specified. We propose a regression procedure to accommodate incomplete follow‐up data. Asymptotic theory is presented, along with some tools for goodness‐of‐fit diagnostics. Simulation studies show that the proposal is reliable for practical use. We illustrate it by application to a cancer clinical trial.

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  • Yijian Huang, 2002. "Censored regression with the multistate accelerated sojourn times model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(1), pages 17-29, January.
    • Handle: RePEc:bla:jorssb:v:64:y:2002:i:1:p:17-29
    DOI: 10.1111/1467-9868.00322
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    Cited by:

    1. Ritesh Ramchandani & Dianne M. Finkelstein & David A. Schoenfeld, 2020. "Estimation for an accelerated failure time model with intermediate states as auxiliary information," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(1), pages 1-20, January.
    2. Chia-Hui Huang, 2019. "Mixture regression models for the gap time distributions and illness–death processes," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(1), pages 168-188, January.
    3. Pang Du & Yihua Jiang & Yuedong Wang, 2011. "Smoothing Spline ANOVA Frailty Model for Recurrent Event Data," Biometrics, The International Biometric Society, vol. 67(4), pages 1330-1339, December.
    4. Wenjing Yin & Sihai Dave Zhao & Feng Liang, 2022. "Bayesian penalized Buckley-James method for high dimensional bivariate censored regression models," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 28(2), pages 282-318, April.
    5. Jie Fan & Somnath Datta, 2013. "On Mann–Whitney tests for comparing sojourn time distributions when the transition times are right censored," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(1), pages 149-166, February.

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