Editing Receiver operating characteristic (section)

===Other measures===
[[File:TOC.png|thumb|right|TOC Curve]]
The [[Total Operating Characteristic]] (TOC) also characterizes diagnostic ability while revealing more information than the ROC. For each threshold, ROC reveals two ratios, TP/(TP + FN) and FP/(FP + TN). In other words, ROC reveals <math>\frac{\text{hits}}{\text{hits}+\text{misses}}</math> and <math>\frac{\text{false alarms}}{\text{false alarms} + \text{correct rejections}}</math>. On the other hand, TOC shows the total information in the contingency table for each threshold.<ref>{{cite journal|last1=Pontius|first1=Robert Gilmore|last2=Parmentier|first2=Benoit|s2cid=15924380|title=Recommendations for using the Relative Operating Characteristic (ROC)|journal=Landscape Ecology|date=2014|volume=29|issue=3|pages=367–382|doi=10.1007/s10980-013-9984-8|bibcode=2014LaEco..29..367P }}</ref> The TOC method reveals all of the information that the ROC method provides, plus additional important information that ROC does not reveal, i.e. the size of every entry in the contingency table for each threshold. TOC also provides the popular AUC of the ROC.<ref>{{cite journal|last1=Pontius|first1=Robert Gilmore|last2=Si|first2=Kangping|s2cid=29204880|title=The total operating characteristic to measure diagnostic ability for multiple thresholds|journal=International Journal of Geographical Information Science|date=2014|volume=28|issue=3|pages=570–583|doi=10.1080/13658816.2013.862623|bibcode=2014IJGIS..28..570P }}</ref>
[[File:ROC.png|thumb|right|ROC Curve]]
These figures are the TOC and ROC curves using the same data and thresholds.
Consider the point that corresponds to a threshold of 74. The TOC curve shows the number of hits, which is 3, and hence the number of misses, which is 7. Additionally, the TOC curve shows that the number of false alarms is 4 and the number of correct rejections is 16. At any given point in the ROC curve, it is possible to glean values for the ratios of <math>\frac{\text{false alarms}}{\text{false alarms} + \text{correct rejections}}</math> and <math>\frac{\text{hits}}{\text{hits}+\text{misses}}</math>. For example, at threshold 74, it is evident that the x coordinate is 0.2 and the y coordinate is 0.3. However, these two values are insufficient to construct all entries of the underlying two-by-two contingency table.
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