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| ロバストピアソン相関× | ピアソンの積率相関係数× | スペルマン順位相関係数× | |
|---|---|---|---|
| 分野 | 統計学 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1970s–1990s | 1895 | 1904 |
| 提唱者≠ | Rand R. Wilcox and predecessors in robust statistics | Karl Pearson | Charles Spearman |
| 種類≠ | Robust bivariate association measure | Parametric correlation | Nonparametric rank-based correlation |
| 原典≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. DOI ↗ | Spearman, C. (1904). The proof and measurement of association between two things. The American Journal of Psychology, 15, 72–101. DOI ↗ |
| 別名≠ | winsorized correlation, percentage bend correlation, robust r, outlier-resistant correlation | pearson r, product-moment correlation, bivariate correlation, Pearson Korelasyon Analizi | Spearman's rho, Spearman rank-order correlation, Spearman Sıra Korelasyonu |
| 関連≠ | 3 | 4 | 4 |
| 概要≠ | The robust Pearson correlation is an outlier-resistant measure of linear association between two continuous variables. By applying Winsorizing, trimming, or percentage-bend transformations before computing the classic Pearson r, it retains the interpretability of a correlation coefficient while dramatically reducing the distortion caused by extreme values. | 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. | The Spearman rank correlation coefficient (ρ) is a nonparametric measure of the monotonic association between two variables. Introduced by Charles Spearman in 1904, it converts raw observations to ranks and measures how consistently one variable increases as the other increases, without assuming a normal distribution or a linear relationship. |
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