JSM 2004 - Toronto

Abstract #300422

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Activity Number: 164
Type: Contributed
Date/Time: Monday, August 9, 2004 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #300422
Title: A Novelty Test for Testing Treatment Differences under Unparallel Studies
Author(s): Yi-Ting Hwang*+ and Chien-Hua Wu and Yu-Sheng Wang
Companies: National Taipei University and Chung Yuan Christian University and National Taipei University
Address: 67, Sec. 3, Ming-Sheng E. Rd., Taipei, International, , Taiwan
Keywords: analysis of covariance ; unparallel studies ; F test ; Johnson-Neyman technique
Abstract:

The Analysis of Covariance (ANCOVA) has been widely implemented in the various areas to assess the effect of the treatments on the variable of interest controlling for the effects of prognostic variables. Although ANCOVA is a major tool in the statistical analysis, it requires many assumptions such as normality assumption of the error distribution and homogeneity of variance within groups. Furthermore, the coefficient on the prognostic variable is usually assumed to be the same accross treatment groups since the derivation is simple. There are only limited studies that can handle the unparallel problem. However, it requires the mean values of the two prognostic variables are equal. A new test adopting the idea from regression estimators is proposed for testing treatment differences under unparallel studies. The proposed method preserves descent power and Type I error under parallel or unparallel studies, whereas the regular F test is only good for the parallel studies.


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