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| ピアソンの積率相関係数× | ケンドール順位相関係数× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1895 | 1938 |
| 提唱者≠ | Karl Pearson | Maurice G. Kendall |
| 種類≠ | Parametric correlation | Rank-based association measure |
| 原典≠ | Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. DOI ↗ | Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 30(1–2), 81–93. DOI ↗ |
| 別名 | pearson r, product-moment correlation, bivariate correlation, Pearson Korelasyon Analizi | Kendall's tau, Kendall tau-b, tau correlation, Kendall Tau Korelasyonu |
| 関連 | 4 | 4 |
| 概要≠ | The Pearson product-moment correlation coefficient (r) is a parametric measure of the direction and strength of the linear association between two continuous variables. Introduced by Karl Pearson in 1895, it remains the most widely used bivariate correlation statistic in the social, health, and natural sciences. The coefficient ranges from −1 (perfect negative linear relationship) to +1 (perfect positive), with 0 indicating no linear association. | Kendall Tau is a nonparametric rank correlation coefficient introduced by Maurice G. Kendall in 1938 to measure the strength and direction of a monotone association between two ordinal or continuous variables. It is particularly suited to small samples and datasets containing many tied ranks, where the Spearman coefficient can be less stable. |
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