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  • Perplex
    IB Math AISL
    /
    Descriptive Statistics
    /

    Spearman's Rank Correlation Coefficient

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    Spearman's Rank Correlation Coefficient

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    Spearman’s rank correlation coefficient
    SL AI 4.10

    Spearman's rank correlation coefficient ​rs​​ measures how close data is to be monotonic - either solely increasing or solely decreasing. Spearman's coefficient is calculated by ranking ​x​- and ​y​-values from least to greatest and performing a linear regression on the ranked lists.


    If ​rs​=1, then the data is perfectly monotonic increasing: as one variable increases, the other does too.

    If ​rs​=−1, then the data is perfectly monotonic decreasing: as one variable increases, the other decreases.


    Spearman's coefficient is useful because it captures all monotonic relationships - unlike Pearson's coefficient, which only measures linear monotonic relationships. Consequently, Spearman's coefficient is not as sensitive to outliers as Pearson's coefficient.