View source for Template:Diagnostic testing diagram

{| class="wikitable" align="center" style="border:none; background:transparent; text-align:center;"
| style="border:none;" rowspan="2" |
| style="border:none;" |
| style="background:#bbeeee;" colspan="2" | '''Predicted condition'''
| style="border:none; text-align:right;" colspan="2" | <sup>Sources: </sup><ref>{{cite journal |last=Fawcett |first=Tom |title=An Introduction to ROC Analysis |journal=Pattern Recognition Letters |date=2006 |volume=27 |issue=8 |pages=861–874 |doi=10.1016/j.patrec.2005.10.010 |s2cid=2027090 |url=http://people.inf.elte.hu/kiss/11dwhdm/roc.pdf}}</ref><ref>{{Cite web |url=https://www.researchgate.net/publication/256438799|title=Data Science for Business: What You Need to Know about Data Mining and Data-Analytic Thinking. |last1=Provost |first1=Foster |date=2013-08-01 |website=O'Reilly Media, Inc. |language=en|last2=Tom Fawcett }}</ref><ref>
{{cite journal |first=David M. W. |last=Powers |date=2011 |title=Evaluation: From Precision, Recall and F-Measure to ROC, Informedness, Markedness & Correlation |journal=Journal of Machine Learning Technologies |volume=2 |issue=1 |pages=37–63 |url=https://www.researchgate.net/publication/228529307}}</ref><ref>
{{cite book |last=Ting |first=Kai Ming |editor2-first=Geoffrey I. |editor2-last=Webb |editor1-first=Claude |editor1-last=Sammut |title=Encyclopedia of machine learning |date=2011 |publisher=Springer |doi=10.1007/978-0-387-30164-8 |isbn=978-0-387-30164-8 }}</ref><ref>
{{cite web |url=https://www.cawcr.gov.au/projects/verification/ |title=WWRP/WGNE Joint Working Group on Forecast Verification Research |last1=Brooks |first1=Harold |last2=Brown |first2=Barb |last3=Ebert |first3=Beth |last4=Ferro |first4=Chris |last5=Jolliffe |first5=Ian |last6=Koh |first6=Tieh-Yong |last7=Roebber |first7=Paul |last8=Stephenson |first8=David |date=2015-01-26|website=Collaboration for Australian Weather and Climate Research|publisher=World Meteorological Organisation|access-date=2019-07-17}}</ref><ref>
{{cite journal |vauthors = Chicco D, Jurman G |title = The advantages of the Matthews correlation coefficient (MCC) over F1 score and accuracy in binary classification evaluation |journal = BMC Genomics |volume = 21 |issue = 1 |date = January 2020 |page = 6-1–6-13 |pmid = 31898477 |doi = 10.1186/s12864-019-6413-7 |pmc = 6941312 |doi-access = free }}</ref><ref>
{{cite journal |vauthors = Chicco D, Toetsch N, Jurman G |title = The Matthews correlation coefficient (MCC) is more reliable than balanced accuracy, bookmaker informedness, and markedness in two-class confusion matrix evaluation |journal = BioData Mining |volume = 14 |issue = 13 |date = February 2021 |page = 13 |pmid = 33541410 | pmc = 7863449 |doi = 10.1186/s13040-021-00244-z |doi-access = free }}</ref><ref>
{{cite journal |author = Tharwat A. |title = Classification assessment methods |journal = Applied Computing and Informatics |date = August 2018 |volume = 17 |pages = 168–192 |doi = 10.1016/j.aci.2018.08.003 |doi-access = free }}</ref> <sup>{{navbar|Diagnostic testing diagram|plain=y}}</sup>
|-
| style="background:#eeeeee;" | [[Statistical population|Total population]] <br/>{{math|{{=}} P + N}}
| style="background:#ccffff;" | '''Predicted positive (PP)'''
| style="background:#aadddd;" | '''Predicted negative (PN)'''
| style="border-left:double silver;background:#ffffff" | [[Youden's_J_statistic|Informedness]], {{small|bookmaker informedness (BM)}} <br/>{{math|{{=}} TPR + TNR − 1}}
| style="background:#ffffff;" | [[Prevalence threshold]] (PT) <br/>{{math|{{=}} {{sfrac|{{sqrt|TPR × FPR}} - FPR|TPR - FPR}}}}
|-
| rowspan="2" {{verth|va=middle|cellstyle=background:#eeeebb;|'''Actual condition'''}}
| style="background:#ffffcc;" | '''Positive (P)''' {{efn|the number of real positive cases in the data}}
| style="background:#ccffcc;" | '''[[True positive]]''' (TP), <br />{{small|hit}}{{efn|A test result that correctly indicates the presence of a condition or characteristic}}
| style="background:#ffdddd;" | '''[[False negative]]''' (FN), <br />{{small|miss, underestimation}}
| style="background:#eeffee;" | [[True positive rate]] (TPR), [[recall (information retrieval)|recall]], [[Sensitivity (tests)|sensitivity]] (SEN), {{small|probability&nbsp;of&nbsp;detection, hit&nbsp;rate, [[statistical power|power]]}} <br/>{{math|{{=}} {{sfrac|TP|P}}}} {{math|{{=}} 1 − FNR}}
| style="background:#ffeeee;" | [[False negative rate]] (FNR), <br/>{{small|miss&nbsp;rate}} <br/>{{small|[[type&nbsp;II&nbsp;error]]}} {{efn|Type II error: A test result which wrongly indicates that a particular condition or attribute is absent}} <br/>{{math|{{=}} {{sfrac|FN|P}}}} {{math|{{=}} 1 − TPR}}
|-
| style="background:#ddddaa;" | '''Negative (N)'''{{efn|the number of real negative cases in the data}}
| style="background:#ffcccc;" | '''[[False positive]]''' (FP), <br/>{{small|false alarm, overestimation}}
| style="background:#bbeebb;" | '''[[True negative]]''' (TN), <br />{{small|correct rejection}}{{efn|A test result that correctly indicates the absence of a condition or characteristic}}
| style="background:#eedddd;" | [[False positive rate]] (FPR), <br/>{{small|probability&nbsp;of&nbsp;false&nbsp;alarm, [[evaluation measures (information retrieval)#Fall-out|{{nowrap|fall-out}}]]}} <br/>{{small|[[type&nbsp;I&nbsp;error]]}} {{efn|Type I error: A test result which wrongly indicates that a particular condition or attribute is present}} <br/>{{math|{{=}} {{sfrac|FP|N}}}} {{math|{{=}} 1 − TNR}}
| style="background:#ddeedd;"| [[True negative rate]] (TNR), <br/>{{small|[[specificity (tests)|specificity]] (SPC), selectivity}} <br/>{{math|{{=}} {{sfrac|TN|N}}}} {{math|{{=}} 1 − FPR}}
|-
| style="border:none;" rowspan="3"|
| style="border-top:double silver; border-right:double silver;background:#ffffff;" | [[Prevalence]] <br/>{{math|{{=}} {{sfrac|P|P + N}}}}
| style="background:#eeffee;" | {{nowrap|[[Positive predictive value]] (PPV),}} {{small|[[precision (information retrieval)|precision]]}} <br/>{{math|{{=}} {{sfrac|TP|PP}}}} {{math|{{=}} 1 − FDR}}
| style="background:#ffeeee;border-right:double silver;"|[[False omission rate]] (FOR) <br/>{{math|{{=}} {{sfrac|FN|PN}}}} {{math|{{=}} 1 − NPV}}
| style="background:#eeeeff;" | [[Positive likelihood ratio]] (LR+) <br/>{{math|{{=}} {{sfrac|TPR|FPR}}}}
| style="background:#eeeeff;" | [[Negative likelihood ratio]] (LR−) <br/>{{math|{{=}} {{sfrac|FNR|TNR}}}}
|-
| style="border-right:double silver;background:#ffffff;"|[[Accuracy and precision#In classification|Accuracy]] (ACC) <br/>{{math|{{=}} {{sfrac|TP + TN|P + N}}}}
| style="background:#eedddd;"|[[False discovery rate]] (FDR) <br/>{{math|{{=}} {{sfrac|FP|PP}}}} {{math|{{=}} 1 − PPV}}
| style="background:#ddeedd;" | [[Negative predictive value]] (NPV) <br/>{{math|{{=}} {{sfrac|TN|PN}}}} {{math|{{=}} 1 − FOR}}
| style="border-top:double silver;border-right:double silver;background:#ffffff;" | [[Markedness]] (MK), {{small|deltaP (&Delta;p)}} <br/>{{math|{{=}} PPV + NPV − 1}}
| style="background:#eeeeff;" | [[Diagnostic odds ratio|Diagnostic {{nowrap|odds ratio}}]] (DOR) <br/>{{math|{{=}} {{sfrac|LR+|LR−}}}}
|-
| style="background:#ffffff;" | Balanced accuracy (BA) <br/>{{math|{{=}} {{sfrac|TPR + TNR|2}}}}
| style="border-top:double silver;background:#ffffff;"|[[F1 score|F<sub>1</sub> score]] <br/>{{math|{{=}} {{sfrac|2 PPV × TPR|PPV + TPR}}}} {{math|{{=}} {{sfrac|2 TP|2 TP + FP + FN}}}}
| style="border-top:double silver;background:#ffffff;"|[[Fowlkes–Mallows index]] (FM) <br/>{{math|{{=}} {{sqrt|PPV × TPR}}}}
| style="border-top:double silver;background:#ffffff;"|[[Matthews correlation coefficient]] (MCC) <br/>{{math|{{=}} {{sqrt|TPR × TNR × PPV × NPV}}|size=80%}} {{math|- {{sqrt|FNR × FPR × FOR × FDR}}|size=80%}}
| style="border-top:double silver;background:#ffffff;" colspan="2"|Threat score (TS), critical success index (CSI), [[Jaccard_index#Jaccard_index_in_binary_classification_confusion_matrices|Jaccard index]] <br/>{{math|{{=}} {{sfrac|TP|TP + FN + FP}}}}
|}
{{notelist}}
<noinclude>
{{Template reference list}}
{{documentation
|content=
{{no documentation}}
}}
[[Category:Medicine procedure templates]]
</noinclude>