Statistics | Formula | Definition | Range |
---|---|---|---|
Accuracy (ACC) | \(\mathrm{AC}=\frac{\mathrm{YY}+\mathrm{NN}}{\mathrm{YY}+\mathrm{YN}+\mathrm{NY}+\mathrm{NN}}\) | What fraction of the forecasts were correct | 0 to 1 |
Probability of Detection (POD) | POD = YY/YY + NY | What fraction of the observed “yes” events were correctly forecast | 0 to 1 |
Equitable Threat Score (ETS) | \(\mathrm{ETS}=\frac{\mathrm{YY}-{\mathrm{YY}}_{\mathrm{random}}}{\mathrm{YY}+\mathrm{NY}+\mathrm{YN}-{\mathrm{YY}}_{\mathrm{random}}}\) \({\mathrm{YY}}_{\mathrm{random}}=\frac{\left(\mathrm{YY}+\mathrm{YN}\right)*(\mathrm{YY}+\mathrm{YN})}{\mathrm{YY}+\mathrm{YN}+\mathrm{NY}+\mathrm{NN}}\) | How well did the forecast “Yes” events correspond to the observed “yes” events (accounting for hits that would be expected by chance | − 1 to 1 |
False Alarm Ration (FAR) | FAR = YN/YY + YN | What fraction of the predicted “yes” events actually did not occur | 0 to 1 |