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A pretest for using logrank or Wilcoxon in the two-sample problem
Authors:Annie Tordilla Darilay  Joshua D Naranjo
Affiliation:
  • Department of Statistics, Western Michigan University, Kalamazoo, MI 49009, USA
  • Abstract:In a two-sample location-scale model with censored data, the logrank test is asymptotically efficient when the error distribution is extreme minimum value. On the other hand, the Wilcoxon test is asymptotically efficient when the error distribution is logistic. We propose a pretest for choosing between logrank and Wilcoxon by determining if the error distribution is closer to extreme minimum value or logistic. This adaptive test is compared with the logrank and Wilcoxon tests through simulation.
    Keywords:Survival analysis  Logrank  Wilcoxon  Adaptive test  Accelerated failure time
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