xskillscore.Contingency.gerrity_score¶
- Contingency.gerrity_score()¶
Returns Gerrity equitable score for a contingency table with K categories.
\[GS = \frac{1}{N}\sum_{i=1}^{K}\sum_{j=1}^{K}n(F_i, O_j)s_{ij}\]\[s_{ii} = \frac{1}{K-1}(\sum_{r=1}^{i-1}a_r^{-1} + \sum_{r=i}^{K-1}a_r)\]\[s_{ij} = \frac{1}{K-1}(\sum_{r=1}^{i-1}a_r^{-1} - (j - i) + \sum_{r=j}^{K-1}a_r); 1 \leq i < j \leq K\]\[s_{ji} = s_{ij}\]\[a_i = \frac{(1 - \sum_{r=1}^{i}p_r)}{\sum_{r=1}^{i}p_r}\]\[p_i = \frac{N(O_i)}{N}\]- Returns
An array containing the Gerrity scores
- Return type
References
https://www.cawcr.gov.au/projects/verification/#Contingency_table