On Testing the Mean Equivalence of Treatments from Correlated Normal Populations

Abstract

Let there be k equally correlated treatment populations under consideration, a Studentized range test is proposed to test the hypothesis of average mean equivalence against the alternative hypothesis of inequivalence. The maximum level and minimum power at some least favorable configurations of means are used to calculate the critical value and the required sample size simultaneously when testing a null against an alternative hypothesis. The range test is applied to a real world problem to find out if the stress levels among children at four time periods due to a newly built nearby airport are equivalent.

Keywords:

• Least favorable configuration (LFC)
• Level and power
• Studentized range test

Mathematics Subject Classification:

• Primary 62F03
• Secondary 62P15