Ouyou toukeigaku
Online ISSN : 1883-8081
Print ISSN : 0285-0370
ISSN-L : 0285-0370
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Statistical Properties of Two Ratio Measures Based on Pre- and Post Observed Values Which are Assumed as Bivariate Power Normal Distribution
Takaharu YamabeKazushi MaruoShingo ShirahataMasashi Goto
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JOURNAL OPEN ACCESS

2012 Volume 41 Issue 1 Pages 53-68

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Abstract
In clinical trials, some measures of effect of ratio are used to evaluate the treatment effect between pre- and post-observed values of a drug. The most popular measure of effect of ratio is the percent change (PC), but symmetrized percent change (SPC) is sometimes applied in a trial. Some researchers examined the properties of two measures under the assumption of limited distribution for pre- and post-observed values, such as bivariate normal or bivariate log-normal distribution. In this paper, we evaluated the relationship between the variation of skewness of two measure (PC or SPC) and various shapes of pre- and post-observed data’s distribution, and evaluated the relationship between the statistical power and the variation of skewness of the two measures under the simultanious distribution of pre- and post-observed data following the bivariate power normal distribution. Then, we proposed how to apply the two measures in various situations.
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© 2012 Japanese Society of Applied Statistics
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