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. Author manuscript; available in PMC: 2019 Jun 1.
Published in final edited form as: Comput Stat Data Anal. 2018 Feb 1;122:156–166. doi: 10.1016/j.csda.2018.01.005

Table 1.

Operating characteristics for Application 1 (Zenios and Wein, 1998) and Application 2 (May et al., 2010) when p = 0.05. Efficiency (EFF), standard deviation of the number of tests per individual (SD), and accuracy probabilities (PSE, PSP, PPV, and NPV) are provided. The threshold τ* maximizes Youden’s index for individual testing. The threshold τP is calculated as in Section 4. Classical operating characteristics are calculated exactly from Kim et al. (2007). Biomarker-based characteristics are estimated using B = 1,000,000 Monte Carlo data sets. For each application, individual testing values of Se and Sp are provided. The same tables for p = 0.01 and p = 0.10 are in Appendix D in the Supplementary Material.

Biomarker-based evaluations Classical

τ* τ*/pool size
τP
Application 1 Se > 0.999; Sp > 0.999 H(5: 1) EFF (SD) 0.426 (0.418) 0.788 (0.492) 0.426 (0.418) 0.426 (0.418)
PSE 0.996 >0.999 0.997 >0.999
PSP >0.999 >0.999 >0.999 >0.999
PPV >0.999 >0.999 >0.999 >0.999
NPV >0.999 >0.999 >0.999 >0.999

H(8: 4: 1) EFF (SD) 0.391 (0.388) 0.704 (0.450) 0.393 (0.391) 0.395 (0.389)
PSE 0.986 0.999 0.993 >0.999
PSP >0.999 >0.999 >0.999 >0.999
PPV >0.999 >0.999 >0.999 >0.999
NPV 0.999 >0.999 >0.999 >0.999

A(9 × 9) EFF (SD) 0.374 (0.115) 0.835 (0.161) 0.378 (0.116) 0.380 (0.117)
PSE 0.973 0.999 0.986 >0.999
PSP >0.999 >0.999 >0.999 >0.999
PPV >0.999 >0.999 >0.999 >0.999
NPV 0.999 >0.999 >0.999 >0.999

Application 2 Se = 0.989; Sp = 0.980 H(5: 1) EFF (SD) 0.337 (0.344) 0.588 (0.487) 0.458 (0.437) 0.439 (0.426)
PSE 0.633 0.987 0.952 0.978
PSP 0.998 0.983 0.991 0.996
PPV 0.931 0.756 0.853 0.930
NPV 0.981 >0.999 0.997 0.999

H(8: 4: 1) EFF (SD) 0.258 (0.302) 0.575 (0.424) 0.406 (0.397) 0.396 (0.387)
PSE 0.513 0.986 0.920 0.967
PSP 0.999 0.985 0.994 0.997
PPV 0.947 0.776 0.894 0.948
NPV 0.975 0.999 0.996 0.998

A(10 × 10) EFF (SD) 0.253 (0.053) 0.751 (0.169) 0.394 (0.121) 0.385 (0.120)
PSE 0.412 0.989 0.892 0.967
PSP 0.999 0.981 0.994 0.997
PPV 0.964 0.733 0.889 0.948
NPV 0.970 0.999 0.994 0.998