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Activity Number: 536
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #308822
Title: Sample Size Calculations in Simple Linear Regression: A New Approach
Author(s): Marepalli B. Rao*+ and Mohammed K. Alam and Subramanyam Kasala and Thomas Bradstreet
Companies: University of Cincinnati and Kendle International Inc. and The University of North Carolina at Wilmington and Merck & Co., Inc.
Address: Center for Genome Information, Cincinnati, OH, 45267,
Keywords: Linear Regression ; Sample Size ; Size ; Power
Abstract:

In the context of a simple linear regression, a typical problem is to test the null hypothesis that the slope parameter is zero against the alternative that it is not equal to zero. If we have data on the response variable and the covariate, we can calculate the power of the standard test used at any specified alternative value of the slope parameter. For given size, power, and the alternative value of the slope parameter, if we want to calculate sample size required, any sample size software demands knowledge of the sum of squares of the covariate values. We will not have this information. In this talk, we will outline how to overcome this problem. In the course of this investigation, we came across a new distribution, which is of pedagogic interest by itself.

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Revised September, 2007