JSM 2005 - Toronto

Abstract #302889

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 31
Type: Contributed
Date/Time: Sunday, August 7, 2005 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #302889
Title: Adaptive Tests and Confidence Intervals
Author(s): Thomas O'Gorman*+
Companies: Northern Illinois University
Address: Division of Statistics, DeKalb, IL, 60115, United States
Keywords: Permutation tests ; Robust Methods ; Weighted Least Squares
Abstract:

An adaptive statistical method uses data to determine what statistical procedure would be most appropriate for the analysis. I will describe several ways of constructing adaptive tests of significance so they maintain their nominal level of significance. I also will describe the advantages adaptive methods have over traditional methods. Usually, if at least 20 observations are used in the analysis, the adaptive tests are more powerful than the traditional tests for nonnormal error distributions. In addition, software for adaptive tests and a method of computing adaptive confidence intervals will be described. By carefully constructing adaptive confidence intervals, we find they often are narrower than the traditional confidence intervals while maintaining their coverage probabilities. An example will illustrate the use of the software for adaptive confidence intervals.


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Revised March 2005