JSM 2005 - Toronto

Abstract #303500

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Activity Number: 232
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #303500
Title: On the Difference between Two Distribution Functions
Author(s): Charles Dunn*+
Companies: Miami University of Ohio
Address: Department of Mathematics and Statistics, Oxford, OH, 45056, United States
Keywords: Normal Populations
Abstract:

Two populations often are compared by considering the difference in their means and/or standard deviations. An alternative approach is to consider measures of the difference in their distribution functions. We define three such measures and derive properties of each for both continuous and discrete populations. When the populations are normally distributed, application of one of the measures produces a new parameter that is a simple function of the population means and standard deviations. Finally, we define an estimator for the new parameter and derive its properties.

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Revised March 2005