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Activity Number: 29
Type: Contributed
Date/Time: Sunday, August 2, 2009 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #305439
Title: Confidence Bounds for Multiplicative Comparisons
Author(s): John Ennis*+
Companies: The Institute for Perception
Address: 7629 Hull Street Road, Richmond, VA, 23112,
Keywords: Ratios of normal random variables ; confidence intervals ; estimation ; multiplicative comparisons ; ratio statements ; multiplicative statements
Abstract:

Previously the authors have used a probability-based approach to extend the classical work of Fieller and others regarding confidence bounds for ratios of normal random variables. Although this recent work extended the classical theory, the bounds obtained were conditioned on the denominator in the ratio being positive. In this present work the authors offer a new perspective that eliminates the need for such a condition. This new perspective involves a clear distinction between ratio and multiplicative ideas and allows for the construction of more appropriate lower confidence bounds that can be used to support multiplicative statements.

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