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  "body": "\n## Summary\n\nSpearman's rank correlation coefficient $\\rho_s$ is the Pearson [[correlation coefficient|0DNN9B6Q2F]] of the ranks of two variables.\nIt measures how well the relation between the variables is described by a monotone function, not only by a straight line.\nIt lies between $-1$ and $1$, and it equals $1$ exactly when one variable is a strictly increasing function of the other on the sample.\nIt is unchanged by any strictly increasing change of scale of either variable.\n\n## Explanations\n\n### L1 human\n\nReplace each value of $x$ by its place in the sorted list of $x$ values, and do the same for $y$.\nThen compute the ordinary correlation of these places.\nIf larger $x$ always goes with larger $y$, the places agree and the coefficient is $1$, even when the relation is curved.\nFor example, the points $(1, 1), (2, 4), (3, 9)$ lie on a parabola, not a line, yet their Spearman coefficient is $1$.\n",
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