Table 9. Performance across variations in the functional form.
Functional form | Model specification | Method | MAD | NOTFront | PU20% | PO20% | rs |
---|---|---|---|---|---|---|---|
Linear | θi ∼ unif(0,1) | DEA | 0.068 | 11.8% | 0.0% | 42.6% | 0.863 |
rDEA | 0.025 | 2.7% | 1.5% | 7.2% | 0.955 | ||
rSDF-CD | 0.106 | 0.0% | 50.2% | 10.5% | 0.762 | ||
ENS | 0.055 | 0.0% | 25.8% | 6.3% | 0.936 | ||
Cobb-Douglas | θi ∼ unif(0,1) | DEA | 0.087 | 11.6% | 7.2% | 42.0% | 0.839 |
rDEA | 0.095 | 3.1% | 45.4% | 12.6% | 0.874 | ||
rSDF-CD | 0.012 | 0.0% | 0.0% | 0.2% | 0.997 | ||
ENS | 0.045 | 0.0% | 12.6% | 7.2% | 0.960 | ||
Piecewise Cobb-Douglas | θi ∼ unif(0,1) | DEA | 0.091 | 9.5% | 16.5% | 36.3% | 0.836 |
rDEA | 0.092 | 2.9% | 43.9% | 13.3% | 0.891 | ||
rSDF-CD | 0.012 | 0.0% | 0.0% | 0.3% | 0.997 | ||
ENS | 0.044 | 0.0% | 7.7% | 7.5% | 0.964 |
Note: Numbers in bold highlight the best outcome for each performance indicator across the alternative approaches. MAD: median absolute deviation, NOTFront: percentage of misclassified DMUs, PU20%: percentage of underestimation, PO20%: percentage of overestimation, rs: Spearman’s rank correlation.