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Table 2 The mean and Monte Carlo standard error in parentheses of the bias and RMSE of the cutoff when targeting a specificity of 0.995. The method(s) with minimal bias and RMSE in each scenario or equivalent after rounding are bolded

From: Estimating cutoff values for diagnostic tests to achieve target specificity using extreme value theory

 

Scenario A

Scenario B

 

n=50

n=200

n=50

n=200

Bias of cutoff

     Empirical

-0.93 (0.0049)

-0.37 (0.0035)

-3.60 (0.0327)

-1.77 (0.0249)

     Normal

-1.74 (0.0027)

-1.70 (0.0014)

-6.26 (0.0158)

-5.71 (0.0112)

     Log Normal

-1.34 (0.0030)

-1.36 (0.0015)

-6.72 (0.0070)

-6.79 (0.0032)

     MAD

-2.68 (0.0010)

-2.68 (0.0005)

-9.08 (0.0013)

-9.09 (0.0006)

     Log MAD

-2.00 (0.0025)

-2.02 (0.0012)

-8.41 (0.0031)

-8.47 (0.0014)

     Pareto 0.9

-0.15 (0.0064)

-0.02 (0.0033)

-3.03 (0.0309)

-2.97 (0.0154)

     Pareto 0.95

-0.50 (0.0059)

-0.02 (0.0035)

-2.73 (0.0368)

-1.35 (0.0227)

     Hybrid Empirical

-0.93 (0.0048)

-0.38 (0.0036)

-3.59 (0.0327)

-1.77 (0.0249)

     Hybrid Pareto 0.9

-0.37 (0.0069)

-0.03 (0.0033)

-3.06 (0.0310)

-2.97 (0.0154)

     Hybrid Pareto 0.95

-0.62 (0.0061)

-0.03 (0.0035)

-2.74 (0.0368)

-1.35 (0.0227)

RMSE of cutoff

     Empirical

1.35 (0.0039)

0.80 (0.0031)

7.47 (0.0789)

5.28 (0.0360)

     Normal

1.82 (0.0024)

1.72 (0.0014)

7.01 (0.0180)

6.14 (0.0090)

     Log Normal

1.47 (0.0026)

1.39 (0.0014)

6.86 (0.0059)

6.82 (0.0031)

     MAD

2.69 (0.0010)

2.68 (0.0005)

9.08 (0.0013)

9.09 (0.0006)

     Log MAD

2.07 (0.0022)

2.04 (0.0012)

8.43 (0.0030)

8.48 (0.0014)

     Pareto 0.9

1.28 (0.0059)

0.65 (0.0029)

6.88 (0.0619)

4.28 (0.0133)

     Pareto 0.95

1.28 (0.0052)

0.70 (0.0033)

7.84 (0.0871)

4.74 (0.0294)

     Hybrid Empirical

1.34 (0.0037)

0.80 (0.0031)

7.45 (0.0790)

5.28 (0.0360)

     Hybrid Pareto 0.9

1.43 (0.0057)

0.66 (0.0030)

6.91 (0.0616)

4.28 (0.0133)

     Hybrid Pareto 0.95

1.37 (0.0050)

0.71 (0.0033)

7.85 (0.0870)

4.74 (0.0294)

  1. Abbreviations: MAD mean absolute deviation, RMSE root mean squared error