Approximate sample size formulas for the two-sample trimmed mean test with unequal variances

Wei Ming Luh, Jiin Huarng Guo

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Yuen's two-sample trimmed mean test statistic is one of the most robust methods to apply when variances are heterogeneous. The present study develops formulas for the sample size required for the test. The formulas are applicable for the cases of unequal variances, non-normality and unequal sample sizes. Given the specified a and the power (I - β), the minimum sample size needed by the proposed formulas under various conditions is less than is given by the conventional formulas. Moreover, given a specified size of sample calculated by the proposed formulas, simulation results show that Yuen's test can achieve statistical power which is generally superior to that of the approximate t test. A numerical example is provided.

Original languageEnglish
Pages (from-to)137-146
Number of pages10
JournalBritish Journal of Mathematical and Statistical Psychology
Volume60
Issue number1
DOIs
Publication statusPublished - 2007 May 1

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Arts and Humanities (miscellaneous)
  • Psychology(all)

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