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Activity Number:
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65
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Type:
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Contributed
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Date/Time:
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Sunday, August 2, 2009 : 4:00 PM to 5:50 PM
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Sponsor:
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Biometrics Section
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| Abstract - #305409 |
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Title:
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Hypothesis Testing for Equivalence Defined on Symmetric Open Intervals
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Author(s):
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Daniel M. Ennis*+ and John Ennis
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Companies:
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The Institute for Perception and The Institute for Perception
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Address:
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7629 Hull Street Road, Richmond, VA, 23235,
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Keywords:
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Equivalence. ; Hypothesis testing ; Noncentral chi-square ; Power ; TOST
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Abstract:
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In a recent paper, Ennis and Ennis (2009) used an open interval to define equivalence and provided exact and approximate methods for testing a null hypothesis of nonequivalence. In statistical applications it is useful to know whether one item is equivalent to another or can act as a substitute for another. Applications of the concept of equivalence include substitution of generic drugs for brand-name drugs and modifications of products in response to government regulations. In this paper, a discussion of this newly developed theory of equivalency testing will be presented along with a comparison to existing methods such as the "two one-sided tests" (TOST) method. We provide numerical examples to illustrate this new theory and we demonstrate that although the TOST is a convenient approximation it is fundamentally inconsistent with the specification of the null hypothesis.
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