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

A studentized range test using a two-stage and a one-stage sampling procedures, respectively, is proposed for testing the 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. Key Words and Phrases : Indifference zone; Least favorable configuration; Power of a test; Studentized range test; t distribution; Hete...

• Type: Journal
• Year: 2006
• Where: CSDA
• Authors: Miin-Jye Wen, Hubert J. Chen
• Keywords: CSDA 2006, Procedures, Studentized Range, Two-stage Procedure