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ロバストピアソン相関×ケンドール順位相関係数×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統計学
系統Hypothesis testHypothesis testHypothesis testHypothesis test
提唱年1970s–1990s193818951904
提唱者Rand R. Wilcox and predecessors in robust statisticsMaurice G. KendallKarl PearsonCharles Spearman
種類Robust bivariate association measureRank-based association measureParametric correlationNonparametric rank-based correlation
原典Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 30(1–2), 81–93. DOI ↗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 correlationKendall's tau, Kendall tau-b, tau correlation, Kendall Tau Korelasyonupearson r, product-moment correlation, bivariate correlation, Pearson Korelasyon AnaliziSpearman's rho, Spearman rank-order correlation, Spearman Sıra Korelasyonu
関連3444
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.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.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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ScholarGate手法を比較: Robust Pearson correlation · Kendall Tau Correlation · Pearson Correlation · Spearman Correlation. 2026-06-18に以下より取得 https://scholargate.app/ja/compare