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Abstract Details
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Activity Number:
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577
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Type:
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Contributed
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Date/Time:
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Wednesday, August 1, 2012 : 2:00 PM to 3:50 PM
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Sponsor:
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International Chinese Statistical Association
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| Abstract - #304044 |
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Title:
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A Confidence Region for the Largest and Smallest Means of Correlated Normal Populations
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Author(s):
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Janpeing Hubert Chen*+ and Shu-Fei Wu
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Companies:
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National Cheng Kung University and Tamkang University
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Address:
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Dept. of Accountancy, Tainan, 70101, Taiwan, Republic of China
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Keywords:
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Confidence region ;
Largest (smallest) mean ;
Student t test ;
Fixed-width ;
Least Favorable Conf.
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Abstract:
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A single-sample procedure for obtaining an optimal confidence region for the largest and the smallest means of several correlated normal populations with a common unknown variance and a non-negative correlation coefficient is proposed. This is common when experimenters repeatedly receive several treatments in an experiment. For independence case, the proposed confidence region is compared to a class of non-symmetric intervals and the results show that the proposed confidence region has the shortest width. We also propose a design-oriented two-stage confidence region with a pre-assigned interval width in each individual interval under correlated normal populations. At last, the confidence region is applied to three real-life examples, which provides useful information to decision makers who are dealing with real world problems.
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