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Abstract Details
Activity Number:
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661
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Type:
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Contributed
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Date/Time:
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Thursday, August 4, 2011 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Statistical Computing
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Abstract - #300848 |
Title:
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On the Sample Size of the One-Stage and Two-Stage Sampling Procedures Under Heteroscedasticity
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Author(s):
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Shun-Yi Chen*+ and Ching-Feng Hsu
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Companies:
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Tamkang University and Tajen University
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Address:
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, Tamsui, International, 251, Taiwan
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Keywords:
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Unknown and unequal variances ;
ANOVA ;
Range of independent $t$ variables
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Abstract:
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The level and the power of conventional F-test in analysis of variances are sensitive to unequal variances. When the variances are unknown and unequal, both level and power associated with the tests derived using the general one-stage and two-stage sampling procedures are controllable at the nominal values and are independent of the unknown variances. This paper presents a further investigation on the sample size of these two sampling procedures under heteroscedasticity. We conclude that when the initial sample size of the two-stage procedure ($n_{02}$) is larger (usually larger than 6), the general one-stage procedure loses little power relative to the two-stage procedure, but it performs relatively good for smaller $n_{02}.$ We also note that the powers of the general one-stage procedure employing unequal sample size outperform the equal sample size case except when both variances and $n_{02}$ are very small.
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