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

Miin Jye Wen, Hubert J. Chen

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1022-1038
Number of pages17
JournalComputational Statistics and Data Analysis
Volume51
Issue number2
DOIs
Publication statusPublished - 2006 Nov 15

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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