Transformation works for non-normality? On one-sample transformation trimmed t methods

Wei-Ming Luh, Jiin Huarng Guo

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)


If the assumption of normality is not satisfied, there is no simple solution to this problem for the one-sample t test. The present study proposes Hall's or Johnson's transformation in conjunction with the trimmed mean to deal with the problem. Computer simulation is carried out to evaluate the small-sample behaviour of the proposed methods in terms of Type I error rate and statistical power. The proposed methods are compared with the conventional Student t, Yuen's trimmed t, Johnson's transformation untrimmed t, and Hall's transformation untrimmed t statistics for one-sided and two-sided tests. The simulation results indicate that the proposed methods can control Type I error well in very extreme conditions and are more powerful than the conventional methods.

頁(從 - 到)227-236
期刊British Journal of Mathematical and Statistical Psychology
出版狀態Published - 2001 1月 1

All Science Journal Classification (ASJC) codes

  • 統計與概率
  • 藝術與人文(雜項)
  • 心理學(全部)


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