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Abstract Details
Activity Number:
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325
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Type:
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Invited
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Date/Time:
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Tuesday, August 2, 2011 : 10:30 AM to 12:20 PM
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Sponsor:
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Council of Chapters
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Abstract - #300227 |
Title:
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Comparison of Two Nonparametric Regression Curves: Test of Superiority and Noninferiority
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Author(s):
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Mervyn Joseph Silvapulle*+
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Companies:
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Monash University
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Address:
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Dept Econometrics and Bus Stats, Caulfield East, International, 3145, Australia
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Keywords:
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Constrained inference ;
Noninferiority ;
Order restricted inference ;
Superiority
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Abstract:
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Tests are developed for detecting differences between two univariate nonparametric regression curves. The objective of the new method is to establish that a treatment is noninferior to another for the whole population and also that it is superior at least for a part of the population, when the treatment effect is represented by a nonparametric regression curve. The inference problem is formulated as test against the alternative hypothesis which says that (a) the regression curve for population 1 does not fall below that for population 2 by more than a specified small amount at any value of the covariate, and (b) the former exceeds the latter, at some values of the covariate, by more than a specified amount. The test statistic is easy to compute and also apply using a table of asymptotic critical values. Because this test is conservative, a less conservative bootstrap test is proposed and is shown to be asymptotically valid. In a simulation study, we observed that the type I error rates for these tests were close to the nominal level, and the bootstrap test exhibited higher estimated power, as expected.
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