Testing for sufficient follow-up in survival data

Pao-sheng Shen

Statistics & Probability Letters, 2000, vol. 49, issue 4, 313-322

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.

Keywords: Immune; Mixture; models; Censored; data; Nonparametric; tests (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)

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