Defining an Optimal Cut-Point Value in ROC Analysis: An Alternative Approach
Table 6
Bootstrap standard deviation, coverage probability, and mean length of the 95% confidence interval estimation of all methods. The normal homoscedastic unbalanced scenario.
Sample sizes
Minimum value
Youden index
Concordance probability
Point closest-to-(0-1) corner
Index of Union
SDB
Coverage
Mean length
Coverage
Mean length
Coverage
Mean length
Coverage
Mean length
Coverage
Mean length
0.25
0.39
50
100
0.6968
0.968
2.6365
0.4205
0.969
1.6059
0.2296
0.968
0.8881
0.1851
0.971
0.7191
0.0874
0.967
0.3504
0.46
50
150
0.7027
0.962
2.6012
0.4108
0.969
1.6012
0.2247
0.967
0.8751
0.1804
0.967
0.6892
0.0856
0.964
0.3336
0.51
50
200
0.7277
0.960
2.6871
0.4157
0.972
1.6151
0.2171
0.967
0.8514
0.1747
0.964
0.6633
0.0821
0.959
0.3174
0.52
0.75
50
100
0.4419
0.971
1.7011
0.2983
0.969
1.1461
0.2151
0.969
0.8252
0.1576
0.967
0.6068
0.1234
0.967
0.4666
0.87
50
150
0.4340
0.971
1.6816
0.2943
0.966
1.1459
0.2061
0.971
0.8003
0.1548
0.975
0.6226
0.1231
0.961
0.4671
0.96
50
200
0.4504
0.968
1.7346
0.2757
0.966
1.0601
0.1964
0.971
0.7882
0.1470
0.967
0.5685
0.1207
0.968
0.4561
0.84
1.09
50
100
0.3081
0.970
1.1866
0.2416
0.971
0.9343
0.2031
0.971
0.8028
0.1472
0.970
0.5754
0.1594
0.967
0.6031
1.23
50
150
0.3094
0.971
1.2033
0.2375
0.970
0.9123
0.2044
0.973
0.8064
0.1489
0.971
0.5805
0.1585
0.969
0.6001
1.33
50
200
0.3151
0.969
1.2265
0.2292
0.972
0.8917
0.1914
0.972
0.7639
0.1379
0.968
0.5261
0.1547
0.964
0.5648
1.28
1.50
50
100
0.2408
0.968
0.9199
0.2092
0.972
0.8294
0.1955
0.974
0.7846
0.1563
0.971
0.6093
0.1780
0.972
0.6941
1.63
50
150
0.2298
0.973
0.9089
0.2131
0.972
0.8423
0.2004
0.972
0.7983
0.1506
0.973
0.5962
0.1818
0.970
0.7011
1.72
50
200
0.2254
0.968
0.8716
0.2101
0.966
0.8096
0.1998
0.964
0.7671
0.1526
0.970
0.5929
0.1825
0.965
0.6890
~, ~, and was taken as 0.51, 1.05, 1.68, and 2.56, respectively.
