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. Author manuscript; available in PMC: 2018 Oct 30.
Published in final edited form as: Stat Med. 2017 Aug 7;36(24):3830–3843. doi: 10.1002/sim.7394

Table 1.

Results for the CEA and CA19-9 biomarkers.

CA19-9 related results

Naive Box-Cox Kernel(BC) GG Kernel(GG) Spline Empirical using all data for CA19-9

FPR TP̂R(95%CI) TP̂R(95%CI) TP̂R(95%CI) TP̂R(95%CI) TP̂R(95%CI) TP̂R(95%CI) TP̂R(95%CI)
0.01 0.091(0.052,0.219) 0.501(0.253,0.709) 0.515(0.255,0.686) 0.707(0.6406,0.8289) 0.710(0.614,0.781) 0.573(0.625,0.803) 0.384(0.291,0.674)
0.02 0.182(0.105,0.438) 0.554(0.339,0.741) 0.574(0.345,0.714) 0.711(0.6571,0.8327) 0.737(0.634,0.784) 0.617(0.641,0.806) 0.593(0.314,0.744)
0.04 0.364(0.209,0.756) 0.613(0.428,0.774) 0.637(0.456,0.746) 0.718(0.6776,0.8379) 0.767(0.656,0.789) 0.664(0.658,0.810) 0.686(0.500,0.802)
0.05 0.455(0.262,0.779) 0.633(0.463,0.785) 0.657(0.491,0.756) 0.722(0.6818,0.8401) 0.778(0.656,0.791) 0.680(0.664,0.811) 0.721(0.581,0.802)
0.10 0.756(0.524,0.837) 0.699(0.601,0.821) 0.712(0.594,0.790) 0.739(0.6981,0.8555) 0.813(0.676,0.796) 0.732(0.664,0.811) 0.756(0.651,0.826)

AUC: 0.795(0.773,0.898) 0.858(0.773,0.898) 0.846(0.773,0.898) 0.866(0.799,0.935) 0.906(0.729,0.832) 0.846(0.773,0.898) 0.865(0.816,0.917)

CEA related results

TPR FP̂R(95%CI) FP̂R(95%CI) FP̂R(95%CI) FP̂R(95%CI) FP̂R(95%CI) FP̂R(95%CI)

0.7 0.550(0.394,0.650) 0.417(0.235,0.591) 0.455(0.261,0.611) - - 0.364(0.193,0.993) -
0.8 0.700(0.596,0.776) 0.561(0.358,0.720) 0.612(0.382,0.738) - - 0.473(0.236,0.999) -
0.9 0.850(0.798,0.883) 0.748(0.535,0.857) 0.807(0.589,0.881) - - 0.618(0.306,1.000) -
0.95 0.925(0.899,0.941) 0.863(0.686,0.928) 0.917(0.752,0.951) - - 0.723(0.356,1.000) -

AUC: 0.656(0.577,0.735) 0.699(0.594,0.803) 0.686(0.584,0.786) - - 0.744(0.447,0.858) -