JSM 2005 - Toronto

Abstract #303895

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 358
Type: Contributed
Date/Time: Wednesday, August 10, 2005 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #303895
Title: Tukey's Compact Procedure of Comparing Two Means: A Simulation Study
Author(s): Yi-Kuan Jong*+
Companies: St. John and St. Mary Institute of Technology
Address: 499 Sec 4 Tam King Road, Taipei, 25135, Taiwan
Keywords: Tukey ; Nonparametric method
Abstract:

Many methods for comparing two unpaired samples have been proposed. The two-sample t-test based on normal samples and nonparametric method, such as Wilcoxon's rank sum test, probably are used most commonly. Even though these methods are not complicated, it is not easy to calculate them without computers. Tukey (1959) proposed a simple procedure based on nonparametric method to compare two unpaired samples for location parameter family. This method is based on counting the number of observations from nonoverlapping ranges in the two samples, and the 5%, 1%, and 0.1% critical values are given. Neave and Granger (1966) simulated various samples from location parameter family of normal distribution and mixture of two normal distribution. Then, they performed eight procedures for comparing two samples on these data. In this paper, we conduct a simulation study to compare the means of two samples from Tukey's method on different distributions. Wilcoxon's rank sum test also is performed and the results compared to Tukey's.


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