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A Comparison of the Performance of Tukey's Multiple Comparison Test and Step-Down Bootstrap Min P Procedure | Phuenaree | งดใช้ระบบ 3-31 กค 66 Burapha Science Journal

A Comparison of the Performance of Tukey's Multiple Comparison Test and Step-Down Bootstrap Min P Procedure

Bumrungsak Phuenaree, Mongkol Leelaphaiboon

Abstract


The purpose of this research is to compare the performance of three test statistics for multiple comparison test which are Tukey’s test, Step-down independent bootstrap min P and Step-down dependent bootstrap min P. Five distributions of data sets, Normal, Laplace, Logistic, log-normal and Gamma distributions are considered.  A Monte Carlo simulation is performed with repeated 5,000 times. The number of bootstrap resampling is 1,000 times. The number of treatments are 3 and 4 with equal sample sizes and equal variance. The sample sizes are 5, 7, 10 and 15. The variance of all data sets are 0.5 and 1.0. The significance level will be set at 0.05. The results show that the familywise error rate of three test statistics can be controlled for all cases. Most power of the test of both step-down bootstrap min P procedures are higher than that of Tukey’s test for all distributions.

 

Keywords :  multiple comparison test, Tukey’s test, Step-down bootstrap min P procedure


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References


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