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Sample size requirements for multiple regression interval estimation

✍ Scribed by Douglas G. Bonett; Thomas A. Wright

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
353 KB
Volume
32
Category
Article
ISSN
0894-3796

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✦ Synopsis

Abstract

Sample size planning is one of the most important issues in the design of a study. Simple and accurate sample size formulas for a desired confidence interval width have been developed for many statistical procedures, but a simple and accurate sample size formula for the squared multiple correlation has been a notable exception. Several rule‐of‐thumb sample size recommendations for a multiple regression analysis have been proposed over the years but none are satisfactory. Other approaches have focused on the construction of elaborate tables of sample size requirements, but these tables are both unwieldy and inadequate. We present a simple, accurate, and general method of approximating the sample size requirement for obtaining a squared multiple correlation confidence interval with desired precision. We also present a simple method for approximating the sample size needed to estimate unstandardized regression coefficients with desired precision. Copyright Β© 2010 John Wiley & Sons, Ltd.

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