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. 2016 Jan 26;11(1):e0147261. doi: 10.1371/journal.pone.0147261

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.