JSM 2011 Online Program

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Abstract Details

Activity Number: 513
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Quality and Productivity
Abstract - #300938
Title: Shortest Expected Length Confidence Interval for the Power of the T-Test
Author(s): Subhabrata Chakraborti and Greg Michaelson and Amanda McCracken*+
Companies: University of Alabama and University of Alabama and University of Alabama
Address: , , ,
Keywords: power ; confidence interval ; shortest length ; effect size
Abstract:

The t-test is among the most popular one-sample statistical tests, and its power is of concern in numerous applications. However, the power of a t-test depends on the unknown population standard deviation, s. This problem is often dealt with by substituting the sample standard deviation s for s, but doing so results in an estimated power which is a random variable. Since estimating power can have important practical implications, it is of interest to calculate a confidence interval on power. We propose a method of obtaining the shortest expected length confidence interval for power by accounting for the variation in s. The proposed interval maintains nominal coverage and is robust over various estimates of the standard deviation. Comparisons are made with an existing proposal by Tarasinska [2005].


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