If a panel of two judges were asked to rank 10 science fair projects, and the sum of the
squares of the differences in the ranks was 49.5, then the Spearman rank correlation
coefficient would be 0.70.

Question

Quizplus · Accepted Answer

The Spearman rank correlation coefficient, $r_s$, is calculated using the formula $r_s = 1 - \frac{6 \sum d_i^2}{n(n^2 - 1)}$, where $d_i$ is the difference in ranks for each pair and $n$ is the number of pairs. Given $n = 10$ and $\sum d_i^2 = 49.5$, substituting these values into the formula gives a different result than 0.70.

If a Panel of Two Judges Were Asked to Rank