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Spearman's coefficient of correlation - class-XI
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Correlation rank coefficient for the tied rank is
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A
$1-\dfrac{6[\sum D^2+\dfrac{1}{12}(m _1^3-m _1)+frac{1}{12}(m-2^3-m _2)+....]}{n(n^2-1)}$
💡 Explanation:
When ranks are tied, Spearman's rank correlation formula requires a correction term: 1 - [6ΣD² + Σ(m³-m)/12]/[n(n²-1)], where m is the number of tied observations in each group. This adjusts for the fact that tied ranks affect the correlation calculation. Option D shows this correction (though there's a typo in 'frac').