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The Pearson product-moment correlation coefficient is a measure of the linear relationship between two variables $X$ and $Y$, giving a value between +1 and −1.

17 votes

Why is Pearson parametric and Spearman non-parametric

The problem is that "nonparametric" really has two distinct meanings these days. The definition in Wikipedia applies to things like nonparametric curve fitting, eg via splines or local regression. The …
Hong Ooi's user avatar
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7 votes

Intuitive explanation for when Pearson correlation coefficient equals 1

Note that perfect correlation means the deviations of the $y_i$'s about their mean are proportional to the corresponding deviations of the $x_i$'s about their mean; that is, $y_i - \bar y = k(x_i - \b …
Hong Ooi's user avatar
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