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Activity Number:
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67
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Type:
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Contributed
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Date/Time:
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Sunday, July 29, 2007 : 4:00 PM to 5:50 PM
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Sponsor:
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ENAR
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| Abstract - #308198 |
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Title:
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Using the Power of an F-Test To Compare Designs for Response Surface Models with Random Block Effects
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Author(s):
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Sourish Saha*+ and Andre I. Khuri
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Companies:
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University of Florida and University of Florida
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Address:
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1001 SW 16th Avenue, Dept of Statistics, Gainesville, FL, 32601,
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Keywords:
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linear mixed models ; prediction variance ; quantile dispersion graphs ; power of an F test ; response surface designs
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Abstract:
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One traditional criterion for comparing response surface designs is the use of the prediction variance. Another criterion is based on utilizing the power of an F-test concerning the fixed unknown parameters in the associated model. The purpose of the talk is to compare response surface designs on the basis of the power criterion when the response surface model contains a random block effect, in addition to the fixed polynomial portion of the model. The proposed approach uses quantiles of either the power function or the corresponding noncentrality parameter on concentric surfaces within the so-called alternative space associated with the unknown parameters. The dependence of these quantiles on the unknown value of the ratio of two variance components, namely, the ones for the block effect and the experimental error, is depicted by plotting the so-called quantile dispersion (QDGs).
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