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Testing for sufficient follow-up in survival data

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  • Shen, Pao-sheng

Abstract

Maller and Zhou (1992, Biometrika 79, 87-99; 1994, J. Amer. Statist. Assoc. 89, 1499-1506) proposed a nonparametric test, called the -test, for testing insufficient versus sufficient follow-up. It was noted by Maller and Zhou (1996, Survival Analysis with longterm survivors, Wiley, New York) that the -test can have Type I error much larger than the nominal value. In this note, it is pointed out that the -test can be used instead to test the hypothesis of no immune proporiton when follow-up is sufficient. To test whether there is sufficient follow-up, a modified test, called the -test, is proposed and shown to be consistent. Simulations are conducted to investigate the performances of the -test and the other existing test, the qn-test, developed by Maller and Zhou (1996). Our investigation shows that both the and qn-test can have a substantially smaller distortion of nominal significance level compared to the -test.

Suggested Citation

  • Shen, Pao-sheng, 2000. "Testing for sufficient follow-up in survival data," Statistics & Probability Letters, Elsevier, vol. 49(4), pages 313-322, October.
    • Handle: RePEc:eee:stapro:v:49:y:2000:i:4:p:313-322
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    References listed on IDEAS

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    1. Ghitany, M. E. & Maller, R. A. & Zhou, S., 1994. "Exponential Mixture Models with Long-Term Survivors and Covariates," Journal of Multivariate Analysis, Elsevier, vol. 49(2), pages 218-241, May.
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    Cited by:

    1. Escobar-Bach, Mikael & Van Keilegom, Ingrid, 2023. "Nonparametric estimation of conditional cure models for heavy-tailed distributions and under insufficient follow-up," Computational Statistics & Data Analysis, Elsevier, vol. 183(C).

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