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Abstract Details

Activity Number: 138
Type: Contributed
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics and the Environment
Abstract - #306190
Title: Generalized P-Value Test to Compare Several Population Means for Unequal Variances
Author(s): Berna Yazici*+ and Ahmet Sezer and Evren Özkip
Companies: Anadolu University and Anadolu University and Bursa Police College
Address: Science Faculty, Eskisehir, 26470, , Turkey
Keywords: Generalized p-value ; Anova ; Unequal variance
Abstract:

The size of classical F tests are fairly robust against the assumption of equal variances when the sample sizes are equal. However when the sample sizes are different, failure of the assumption of equal variances can have serious problems on the power of the F test. Classical F test fails to reject the null hypothesis even when the data actually providens strong evidence to do so. The generalized p-value method provides a promising approach to solve such problems with no adverse effect on the size of the test. In this study we demostrate performance of the F test and generalized p value approach for different sample sizes and variances. Weather data will be used to compare temperature for different locations under some unequal variances situations.


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