Rank invariant tests with left truncated and interval censored data

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5 Scopus citations


Peto and Peto (1972) have studied rank invariant tests to compare two survival curves for right censored data. We apply their tests, including the logrank test and the generalized Wilcoxon test, to left truncated and interval censored data. The significance levels of the tests are approximated by Monte Carlo permutation tests. Simulation studies are conducted to show their size and power under different distributional differences. In particular, the logrank test works well under the Cox proportional hazards alternatives, as for the usual right censored data. The methods are illustrated by the analysis of the Massachusetts Health Care Panel Study dataset.

Original languageEnglish (US)
Pages (from-to)163-174
Number of pages12
JournalJournal of Statistical Computation and Simulation
Issue number1-2
StatePublished - Jan 1 1998


  • Logrank test
  • Monte Carlo permutation test
  • Nonparametric maximum likelihood estimator (NPMLE)
  • Smoothed nonparametric estimator (SNE)
  • Wilcoxon test

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