Statistical analysis of pharmacological data: Use of cumulative chi-squared statistic.

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  • MATSUMOTO Kazuhiko
    Toxicological Laboratories, Medical Central Research Institute, Japan Tobacco Co., LTD.

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Other Title
  • 薬理試験における統計解析のＱ＆Ａ　累積カイ二乗検定の応用
  • ルイセキ カイ 2ジョウ ケンテイ ノ オウヨウ
  • 薬理試験における統計解析のQ&A

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The cumulative chi-squared statistic has been proposed for testing against ordered alternatives in various statistical models. As usual statistical tests of ordered column categorical data, the χ2 test, Fisher's exact test and Wilcoxon test are used. Pharmacological studies often are performed by multiple dosing. Data obtained from these studies are called ordered categorical data. The cumulative chi-squared statistic, which has been proposed by Hirotsu and Shibuya for testing against ordered alternatives in various statistical models, is little used in spite of its good applicability in the field of pharmacology. This method was too difficult for the general pharmacologist and biological scientists because it requires the use of a complex matrix and a powerful computer to carry out the analysis. However since a more simple method was proposed by Matsumoto and Yoshimura this method has been used more frequently in the biological sciences. In this paper, the one way cumulative chi-squared statistic test and two way chi-squared statistic test are compared with the chi-squared statistic test and Wilcoxon test.

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