Sample size calculation for testing differences between cure rates with the optimal log-rank test

Jianrong Wu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this article, sample size calculations are developed for use when the main interest is in the differences between the cure rates of two groups. Following the work of Ewell and Ibrahim, the asymptotic distribution of the weighted log-rank test is derived under the local alternative. The optimal log-rank test under the proportional distributions alternative is discussed, and sample size formulas for the optimal and standard log-rank tests are derived. Simulation results show that the proposed formulas provide adequate sample size estimation for trial designs and that the optimal log-rank test is more efficient than the standard log-rank test, particularly when both cure rates and percentages of censoring are small.

Original languageEnglish
Pages (from-to)124-134
Number of pages11
JournalJournal of Biopharmaceutical Statistics
Volume27
Issue number1
DOIs
StatePublished - Jan 2 2017

Bibliographical note

Publisher Copyright:
© 2017 Taylor & Francis.

Keywords

  • Clinical trial
  • cure model
  • log-rank test
  • optimal test
  • sample size

ASJC Scopus subject areas

  • Statistics and Probability
  • Pharmacology
  • Pharmacology (medical)

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