Created
July 31, 2024 07:36
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Calculates Kendal's W from scores, by calculating ranks first.
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| import numpy as np | |
| def kendall_w(scores): | |
| """ | |
| :param scores: rows correspond to category levels, e.g., for QS this would be unc. sampling, CAL etc, and the | |
| columns correspond to the scores. | |
| :return: | |
| """ | |
| if scores.ndim!=2: | |
| raise 'scores matrix must be 2-dimensional' | |
| m = scores.shape[0] # raters/levels | |
| n = scores.shape[1] # items rated | |
| score_ranks = np.argsort(scores, axis=1) | |
| denom = m**2*(n**3-n) | |
| rating_sums = np.sum(score_ranks, axis=0) | |
| S = n*np.var(rating_sums) | |
| return 12*S/denom |
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