This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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633
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Type:
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Contributed
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Date/Time:
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Thursday, August 5, 2010 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Quality and Productivity
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Abstract - #309270 |
Title:
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Single-Stage Analysis of Means Under Heteroscedasticity
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Author(s):
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Miin-Jye Wen*+ and Yi-Hsuan Tu and Tsai-Hsiang Hung
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Companies:
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National Cheng Kung University and National Cheng Kung University and National Cheng Kung University
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Address:
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1, University Road, Tainan, International, 70101, Taiwan
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Keywords:
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ANOM ;
ANOVA ;
Unknown and unequal variances
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Abstract:
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The analysis of means is a testing procedure for comparing a collection of means to see if any of them are significantly different from the overall mean. When the population variances are unknown and unequal, Dudewicz and Nelson (2003) proposed a design-oriented two-stage procedure for ANOM, which requires additional samples at the second stage. If obtaining more samples are not practical or feasible, we use the single-stage sampling procedure to test the null hypothesis in analysis of mean models with unequal variances in this study. The single-stage sampling procedure for analysis of means has an exact distribution and it is a data-analysis-oriented procedure. It does not required additional samples, and can reach a conclusion much easier and save time and budget.
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