Abstract #300122

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JSM 2003 Abstract #300122
Activity Number: 426
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #300122
Title: Improved Analysis of Independent 1 Df Mean Squares in Unreplicated 2-Level Factorial Designs Without the use of Experimental Error
Author(s): James L. Pazdan*+
Companies: Novartis Pharmaceuticals
Address: 34 Chestnut St., Edison, NJ, 08817-3141,
Keywords: unreplicated ; factorial ; experimental error ; power ; non-normality
Abstract:

Improvements to Bissell's (1989) statistic for testing independent mean squares from an unreplicated (2-level) factorial design were made (for 1 df mean squares only) by substituting the median or the geometric mean for the mean in Bissell's statistic. Extensive critical values for the median and geometric mean statistics were generated by simulations, which were also generated for Bissell's statistic as an improvement to its Chi-square approximation. These alternative statistics resulted in greatly improved statistical power for detecting cases where several strong effects exist. This approach assumes that the 1 df estimates under the null hypothesis are independent and normally distributed with a mean of zero and a common variance. This approach was compared to using a traditional independent experimental error with typically small df. The effects of non-normality were also studied.

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