Statistical Properties of Two Ratio Measures Based on Pre- and Post Observed Values Which are Assumed as Bivariate Power Normal Distribution

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  • 2変量ベキ正規分布に基づく投与前値対投与後値の比の評価指標とその性質
  • 2 ヘンリョウ ベキ セイキ ブンプ ニ モトズク トウヨ ゼン チ タイ トウヨ ゴチ ノ ヒ ノ ヒョウカ シヒョウ ト ソノ セイシツ

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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.

Journal

  • Ouyou toukeigaku

    Ouyou toukeigaku 41 (1), 53-68, 2012

    Japanese Society of Applied Statistics

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