Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential Distributions
In multiple-decision procedures, a crucial objective is to determine the association between the probability of a correct decision (CD) and the sample size. A review of some methods is provided, including a subset selection formulation proposed by Huang and Panchapakesan, a multidecision procedure f...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/701074 |
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| author | Han-Ching Chen Her Pei Shan Nae-Sheng Wang |
| author_facet | Han-Ching Chen Her Pei Shan Nae-Sheng Wang |
| author_sort | Han-Ching Chen |
| collection | DOAJ |
| description | In multiple-decision procedures, a crucial objective is to determine the association between the probability of a correct decision (CD) and the sample size. A review of some methods is provided, including a subset selection formulation proposed by Huang and Panchapakesan, a multidecision procedure for testing the homogeneity of means by Huang and Lin, and a similar procedure for testing the homogeneity of variances by Lin and Huang. In this paper, we focus on the use of the Lin and Huang method for testing the null hypothesis H0 of homogeneity of means for k exponential distributions. We discuss the decision rule R, evaluation of the critical value C, and the infimum of P(CD∣R) for k independent random samples from k exponential distributions. In addition, we also observed that a lower bound for the probability of CD relative to the number of the common sample size is determined based on the desired probability of CD when the largest mean is sufficiently larger than the other means. We explain the results by using two examples. |
| format | Article |
| id | doaj-art-aa40e5e704b4485db9c12fd91b744e82 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-aa40e5e704b4485db9c12fd91b744e822025-02-03T01:21:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/701074701074Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential DistributionsHan-Ching Chen0Her Pei Shan1Nae-Sheng Wang2Department of Statistics, Feng Chia University, No. 100, Wenhua Road, Xitun District, Taichung City 407, TaiwanDepartment of Statistics, Feng Chia University, No. 100, Wenhua Road, Xitun District, Taichung City 407, TaiwanDepartment of Statistics, Feng Chia University, No. 100, Wenhua Road, Xitun District, Taichung City 407, TaiwanIn multiple-decision procedures, a crucial objective is to determine the association between the probability of a correct decision (CD) and the sample size. A review of some methods is provided, including a subset selection formulation proposed by Huang and Panchapakesan, a multidecision procedure for testing the homogeneity of means by Huang and Lin, and a similar procedure for testing the homogeneity of variances by Lin and Huang. In this paper, we focus on the use of the Lin and Huang method for testing the null hypothesis H0 of homogeneity of means for k exponential distributions. We discuss the decision rule R, evaluation of the critical value C, and the infimum of P(CD∣R) for k independent random samples from k exponential distributions. In addition, we also observed that a lower bound for the probability of CD relative to the number of the common sample size is determined based on the desired probability of CD when the largest mean is sufficiently larger than the other means. We explain the results by using two examples.http://dx.doi.org/10.1155/2014/701074 |
| spellingShingle | Han-Ching Chen Her Pei Shan Nae-Sheng Wang Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential Distributions Discrete Dynamics in Nature and Society |
| title | Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential Distributions |
| title_full | Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential Distributions |
| title_fullStr | Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential Distributions |
| title_full_unstemmed | Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential Distributions |
| title_short | Multiple-Decision Procedures for Testing the Homogeneity of Mean for k Exponential Distributions |
| title_sort | multiple decision procedures for testing the homogeneity of mean for k exponential distributions |
| url | http://dx.doi.org/10.1155/2014/701074 |
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