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A new class of generalized log rank tests for interval-censored failure time data

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  • Zhao, Xingqiu
  • Duan, Ran
  • Zhao, Qiang
  • Sun, Jianguo

Abstract

This paper discusses nonparametric comparison of survival functions when one observes only interval-censored failure time data (Peto and Peto, 1972; Sun, 2006; Zhao et al., 2008). For the problem, a few procedures have been proposed in the literature. However, most of the existing test procedures determine the test results or p-values based on ad hoc methods or the permutation approach. Furthermore for the test procedures whose asymptotic distributions have been derived, the results are only for the null hypothesis. In other words, no nonparametric test procedure exists that has a known asymptotic distribution under the alternative hypothesis and thus can be employed to carry out the power and test size calculation. In this paper, a new class of generalized log-rank tests is proposed and their asymptotic distributions are derived under both null and alternative hypotheses. A simulation study is conducted to assess their performance for finite sample situations and an illustrative example is provided.

Suggested Citation

  • Zhao, Xingqiu & Duan, Ran & Zhao, Qiang & Sun, Jianguo, 2013. "A new class of generalized log rank tests for interval-censored failure time data," Computational Statistics & Data Analysis, Elsevier, vol. 60(C), pages 123-131.
    • Handle: RePEc:eee:csdana:v:60:y:2013:i:c:p:123-131
    DOI: 10.1016/j.csda.2012.11.002
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    References listed on IDEAS

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    1. van der Vaart, A. W. & Wellner, Jon A., 1992. "Existence and consistency of maximum likelihood in upgraded mixture models," Journal of Multivariate Analysis, Elsevier, vol. 43(1), pages 133-146, October.
    2. J. Sun, 1999. "A nonparametric test for current status data with unequal censoring," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 243-250.
    3. J. Huang & J. A. Wellner, 1995. "Asymptotic normality of the NPMLE of linear functionals for interval censored data, case 1," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 49(2), pages 153-163, July.
    4. William B. Goggins & Dianne M. Finkelstein, 2000. "A Proportional Hazards Model for Multivariate Interval-Censored Failure Time Data," Biometrics, The International Biometric Society, vol. 56(3), pages 940-943, September.
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    Cited by:

    1. Xun Xiao & Amitava Mukherjee & Min Xie, 2016. "Estimation procedures for grouped data – a comparative study," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(11), pages 2110-2130, August.

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