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Estimation of Recurrence of Colorectal Adenomas with Dependent Censoring Using Weighted Logistic Regression

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  • Chiu-Hsieh Hsu
  • Yisheng Li
  • Qi Long
  • Qiuhong Zhao
  • Peter Lance

Abstract

In colorectal polyp prevention trials, estimation of the rate of recurrence of adenomas at the end of the trial may be complicated by dependent censoring, that is, time to follow-up colonoscopy and dropout may be dependent on time to recurrence. Assuming that the auxiliary variables capture the dependence between recurrence and censoring times, we propose to fit two working models with the auxiliary variables as covariates to define risk groups and then extend an existing weighted logistic regression method for independent censoring to each risk group to accommodate potential dependent censoring. In a simulation study, we show that the proposed method results in both a gain in efficiency and reduction in bias for estimating the recurrence rate. We illustrate the methodology by analyzing a recurrent adenoma dataset from a colorectal polyp prevention trial.

Suggested Citation

  • Chiu-Hsieh Hsu & Yisheng Li & Qi Long & Qiuhong Zhao & Peter Lance, 2011. "Estimation of Recurrence of Colorectal Adenomas with Dependent Censoring Using Weighted Logistic Regression," PLOS ONE, Public Library of Science, vol. 6(10), pages 1-8, October.
  • Handle: RePEc:plo:pone00:0025141
    DOI: 10.1371/journal.pone.0025141
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    References listed on IDEAS

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    1. Richard Peto, 1973. "Experimental Survival Curves for Interval‐Censored Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 22(1), pages 86-91, March.
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