مقایسهٔ روش‌ها

	ضریب همبستگی گشتاور-حاصلضرب پیرسون	همبستگی رتبه تاو کندال
حوزه	آمار	آمار
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1895	1938
پدیدآور	Karl Pearson	Maurice G. Kendall
نوع	Parametric correlation	Rank-based association measure
منبع بنیادین	Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates.	Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 30(1–2), 81–93.
نام‌های دیگر	pearson r, product-moment correlation, bivariate correlation, Pearson Korelasyon Analizi	Kendall's tau, Kendall tau-b, tau correlation, Kendall Tau Korelasyonu
مرتبط	4	4
خلاصه	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.