Computational and Mathematical Methods in Medicine / 2017 / Article / Tab 5

Research Article

Defining an Optimal Cut-Point Value in ROC Analysis: An Alternative Approach

Table 5

Relative bias and mean square error (MSE) of all methods. The normal homoscedastic unbalanced scenario.

Sample
sizes
Minimum
value
Youden indexConcordance
probability
Point closest-to-(0-1)
corner
Index of Union
Relative biasMSERelative biasMSERelative biasMSERelative biasMSERelative biasMSE

0.250.39501000.17500.50410.20460.18130.10420.05200.10070.03410.06860.0075
0.46501500.29860.51240.16830.17080.11420.05150.13240.03380.09230.0079
0.51502000.29550.55170.14200.17410.14830.04840.15440.03200.10590.0074

0.520.75501000.03610.19630.10610.09210.05720.04690.04810.02560.05350.0161
0.87501500.06130.19220.11410.09040.05880.04350.07460.02550.05970.0162
0.96502000.06010.20600.09260.07850.06900.03990.07780.02330.06960.0159

0.841.09501000.00060.09520.04110.05970.01570.04140.02190.02190.01620.0255
1.23501500.00300.09560.04980.05800.03130.04230.03750.02320.03280.0259
1.33502000.00280.09960.04400.05360.03450.03740.04090.02010.03420.0248

1.281.50501000.05810.03500.04600.01770.03900.02250.02540.01950.0325
1.63501500.05280.03780.04790.02540.04140.02980.02420.02700.0342
1.72502000.00070.05070.04690.04770.03800.04220.03860.02570.03680.0356

~,   ~, and was taken as 0.51, 1.05, 1.68, and 2.56, respectively.

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