User:AEnw/sandbox

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Proposed version:[edit]

Let us define an experiment from P positive instances and N negative instances for some condition. The four outcomes can be formulated in a 2×2 contingency table or confusion matrix, as follows:

The relationships of related formulas to the information in the confusion matrix. can be viewed as follows:

		True condition
		Condition positive	Condition negative
Predicted condition	Predicted condition positive	True positive ${\mathit {TP}}$ Related formulas: Accuracy, Precision/Positive Predictive Value (PPV), Prevalence, True Positive Rate (TPR)/Sensitivity/Recall, False Discovery Rate (FDR), False Negative Rate (FNR)/Miss Rate, F1 Score, Positive Likelihood Ratio (LR+), Negative Likelihood Ratio (LR-)	False positive ${\mathit {FP}}$ (Type I error) Related formulas: Precision/Positive Predictive Value (PPV), Specificity/True Negative Rate (TNR), False Positive Rate (FPR)/Fall-out, False Discovery Rate (FDR), F1 Score, False Omission Rate (FOR), Positive Likelihood Ratio (LR+), Negative Likelihood Ratio (LR-)
Predicted condition	Predicted condition negative	False negative ${\mathit {FN}}$ (Type II error) Related formulas: Prevalence, True Positive Rate (TPR)/Sensitivity/Recall, Negative Predictive Value (NPV), False Negative Rate (FNR)/Miss Rate, False Omission Rate (FOR), F1 Score, Negative Likelihood Ratio (LR-)	True negative ${\mathit {TN}}$ Related formulas: Accuracy, Precision (PPV), Specificity/True Negative Rate (TNR), Negative Predictive Value (NPV), False Positive Rate (FPR)/Fall-out, False Omission Rate (FOR), Positive Likelihood Ratio (LR+), Negative Likelihood Ratio (LR-)