Question
Give the formula to calculate rank correlation coefficient with:
  1. non-repeated ranks.
  2. repeated ranks.

Answer

  1. When rank are not repeated $\text{r}_\text{k}=1-\frac{6\Sigma\text{D}^2}{\text{n}^3-\text{n}}$
  2. When ranks are repeated $\text{r}_\text{k}=1-\frac{6\bigg[\Sigma\text{D}^2+\frac{1}{12}\text{(m}^3-\text{m)}+\dots\bigg]}{\text{n}^3-\text{n}}$

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