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单词 Pearson coefficient
释义

Pearson coefficient

中文百科

皮尔逊积矩相关系数 Pearson product-moment correlation coefficient

(重定向自Pearson coefficient)
几组(x, y)的点集,以及各个点集中x和y之间的相关系数。我们可以发现相关系数反映的是变量之间的线性关系和相关性的方向(第一排),而不是相关性的斜率(中间),也不是各种非线性关系(第二排)。请注意:中间的图中斜率为0,但相关系数是没有意义的,因为此时变量Y是0
回归直线:  y=gx(x) [红色] 和 x=gy(y) [蓝色]
图表显示对于给定的样本大小,在0.05的置信度上,皮尔逊相关系数显着不为零。
Ejemplos de diagramas de dispersión con diferentes valores del coeficiente de correlación (ρ)

在统计学中,皮尔逊积矩相关系数英语:Pearson product-moment correlation coefficient,又称作 PPMCCPCCs, 文章中常用r或Pearson's r表示)用于度量两个变量X和Y之间的相关(线性相关),其值介于-1与1之间。在自然科学领域中,该系数广泛用于度量两个变量之间的相关程度。它是由卡尔·皮尔逊从弗朗西斯·高尔顿在19世纪80年代提出的一个相似却又稍有不同的想法演变而来的。这个相关系数也称作“皮尔森相关系数r”。

英语百科

Pearson product-moment correlation coefficient 皮尔逊积矩相关系数

(重定向自Pearson coefficient)
Examples of scatter diagrams with different values of correlation coefficient (ρ)
Several sets of (x, y) points, with the correlation coefficient of x and y for each set. Note that the correlation reflects the non-linearity and direction of a linear relationship (top row), but not the slope of that relationship (middle), nor many aspects of nonlinear relationships (bottom). N.B.: the figure in the center has a slope of 0 but in that case the correlation coefficient is undefined because the variance of Y is zero.
Regression lines for y=gx(x) [red] and x=gy(y) [blue]

In statistics, the Pearson product-moment correlation coefficient (/ˈpɪərsn/) (sometimes referred to as the PPMCC or PCC or Pearson's r) is a measure of the linear correlation between two variables X and Y, giving a value between +1 and −1 inclusive, where 1 is total positive correlation, 0 is no correlation, and −1 is total negative correlation. It is widely used in the sciences as a measure of the degree of linear dependence between two variables. It was developed by Karl Pearson from a related idea introduced by Francis Galton in the 1880s. Early work on the distribution of the sample correlation coefficient was carried out by Anil Kumar Gain and R. A. Fisher from the University of Cambridge.

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