Effect of a Guarantee Time on Sample Size Determination for Testing the Ratio of Means from Two Lifetime Distributions

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Abstract

This paper studies the problem of sample size determination for testing the ratio of means from two lifetime distributions when thresholds, or guarantee times, are present in the survival distributions. We consider several different approaches of sample size determination based on different distributional assumptions and discuss the role that guarantee times play in these sample size computations. We show that the guarantee times, if they exist, can significantly affect the sample size computations. The Aging Intervention Testing Program from the National Institute on Aging is used to demonstrate our results.

Original languageEnglish
Pages (from-to)177-188
Number of pages12
JournalJournal of Biopharmaceutical Statistics
Volume14
Issue number1
DOIs
StatePublished - Mar 16 2004

Keywords

  • Guarantee time
  • Location-scale family
  • Lognormal distribution
  • Maximum likelihood estimate (MLE)
  • Proportional hazards
  • Type II censoring
  • Weibull distribution

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