**Gareth Hughes 1,\*, Jennifer Reed <sup>2</sup> and Neil McRoberts <sup>2</sup>**


Received: 10 January 2020; Accepted: 13 March 2020; Published: 20 March 2020

**Abstract:** Diagrammatic formats are useful for summarizing the processes of evaluation and comparison of forecasts in plant pathology and other disciplines where decisions about interventions for the purpose of disease management are often based on a proxy risk variable. We describe a new diagrammatic format for disease forecasts with two categories of actual status and two categories of forecast. The format displays relative entropies, functions of the predictive values that characterize expected information provided by disease forecasts. The new format arises from a consideration of earlier formats with underlying information properties that were previously unexploited. The new diagrammatic format requires no additional data for calculation beyond those used for the calculation of a receiver operating characteristic (ROC) curve. While an ROC curve characterizes a forecast in terms of sensitivity and specificity, the new format described here characterizes a forecast in terms of relative entropies based on predictive values. Thus it is complementary to ROC methodology in its application to the evaluation and comparison of forecasts.

**Keywords:** probability; forecast; likelihood ratio; positive predictive value; negative predictive value; diagnostic information; relative entropy
