The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
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].
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2011 program
|
2011 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.