Defining an Optimal Cut-Point Value in ROC Analysis: An Alternative Approach
Table 4
Bootstrap standard deviation, coverage probability, and mean length of the 95% confidence interval estimation of all methods. The normal homoscedastic balanced scenario.
Sample sizes
Minimum value
Youden index
Concordance probability
Point closest-to-(0-1) corner
Index of Union
Coverage
Mean length
Coverage
Mean length
Coverage
Mean length
Coverage
Mean length
Coverage
Mean length
0.25
50
0.7473
0.964
2.7559
0.4776
0.969
1.8484
0.2633
0.971
1.0333
0.2262
0.969
0.8837
0.1380
0.974
0.5502
100
0.6767
0.967
2.5637
0.4017
0.968
1.5553
0.2061
0.973
0.8074
0.1767
0.972
0.7019
0.1070
0.966
0.4173
200
0.6039
0.968
2.3059
0.338
0.969
1.3063
0.1606
0.959
0.5896
0.1393
0.967
0.5359
0.0858
0.970
0.3325
0.52
50
0.4811
0.968
1.8521
0.3507
0.969
1.3411
0.2602
0.971
1.0181
0.2071
0.973
0.8187
0.1630
0.973
0.6476
100
0.4186
0.968
1.5878
0.2778
0.972
1.1006
0.1982
0.969
0.7566
0.1607
0.970
0.6233
0.1420
0.969
0.5489
200
0.3434
0.970
1.3399
0.219
0.975
0.8786
0.1551
0.973
0.6139
0.1199
0.971
0.4717
0.1231
0.965
0.4623
0.84
50
0.3556
0.969
1.3557
0.2826
0.969
1.0837
0.2354
0.973
0.9261
0.1921
0.974
0.7692
0.1845
0.976
0.7475
100
0.2899
0.970
1.1106
0.2289
0.972
0.8922
0.1930
0.972
0.7595
0.1477
0.972
0.5843
0.1637
0.970
0.6491
200
0.2515
0.970
0.9619
0.1890
0.972
0.7375
0.1538
0.975
0.6154
0.1132
0.971
0.4356
0.1465
0.970
0.5601
1.28
50
0.2958
0.965
1.1106
0.2578
0.974
1.0262
0.2379
0.974
0.9419
0.2027
0.973
0.8198
0.2166
0.974
0.8668
100
0.2359
0.968
0.8973
0.2074
0.972
0.8112
0.1916
0.975
0.7679
0.1566
0.971
0.6157
0.1831
0.973
0.7294
200
0.1851
0.971
0.7240
0.1556
0.970
0.6141
0.1431
0.970
0.5683
0.1094
0.972
0.4272
0.1414
0.969
0.5607
~, ~, and was taken as 0.51, 1.05, 1.68, and 2.56, respectively.
