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Figure 2 | BMC Medical Informatics and Decision Making

Figure 2

From: Decision curve analysis revisited: overall net benefit, relationships to ROC curve analysis, and application to case-control studies

Figure 2

Relationships of decision curve analysis to ROC curve analysis. Receiver operating characteristic (ROC) curve for the complex example model. (a) The optimal operating point based on maximising the Youden index is the point on the curve with the largest vertical distance to the diagonal from the lower left corner to the upper right corner. The optimal operating point is indicated with a circle, the diagonal with a hatched line. (b) The optimal operating point based on maximising the net benefit is the point on the curve for which the slope is equal to [(1 - π)/π][p t /(1 - p t )]. Two examples for p t = 0.2 and p t = 0.4 are indicated with circles, the corresponding slopes with hatched lines.

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