A panel of 8 judges was asked to rate each of 3 models developed by engineering students on the likelihood that these models can be practically implemented to harness the controlled fusion energy. Their ratings (in the form of judgmental probabilities) are as follows:

Calculate the rank correlation coefficient, \(r_{S}\)

(a) using Models \(\mathrm{X}\) and \(\mathrm{Y}\);

(b) using Models Y and Z.

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Model Judge Y Z ABCDEFGH 0.21 0.24 0.38 0.42 0.48 0.06 0.53 0.46 0.24 0.26 0.51 0.42 0.85 0.76 0.92 0.28 0.35 0.19 0.12 0.30 0.22 0.90 0.65 0.78