A studentized range test for the equivalency of normal means under heteroscedasticity

Miin Jye Wen, Hubert J. Chen

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

A studentized range test using a two-stage and a one-stage sampling procedures, respectively, is proposed for testing the null hypothesis that the average deviation of the normal means is falling into a practical indifference zone. Both the level and the power of the proposed test associated with the hypotheses are controllable and they are completely independent of the unknown variances. The two-stage procedure is a design-oriented procedure that satisfies certain probability requirements and simultaneously determines the required sample sizes for an experiment while the one-stage procedure is a data-analysis procedure after the data have been collected, which can supplement the two-stage procedure when the later has to end its experiment sooner than its required experimental process is completed. Tables needed for implementing these procedures are given.

原文English
頁(從 - 到)1022-1038
頁數17
期刊Computational Statistics and Data Analysis
51
發行號2
DOIs
出版狀態Published - 2006 十一月 15

All Science Journal Classification (ASJC) codes

  • 統計與概率
  • 計算數學
  • 計算機理論與數學
  • 應用數學

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