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Performance measures

This document explores various performance measures crucial for evaluating prediction accuracy, including Pearson's correlation coefficient, Matthews correlation coefficient, and ROC curve analysis. Through detailed metrics such as True Positives, False Positives, True Negatives, and False Negatives, we assess the effectiveness of prediction methods. The paper emphasizes the importance of AUC (Area Under the Curve), where values range from 0.5 (random) to 1 (perfect). Key insights into MSE and the relationship between different performance measures are also discussed.

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Performance measures

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  1. Performance measures Morten Nielsen

  2. Performance measures MeasPred 0.4050 0.8344 0.9373 1.0000 0.8161 0.6388 0.6752 0.9841 0.0253 0.0000 0.3196 0.5388 0.6764 0.6247 0.1872 0.1921 0.4220 0.6546 0.6545 0.6546 0.7917 0.1342 0.4405 0.3551 0.1548 0.0000 0.2740 0.1993 0.4399 0.6461 0.1725 0.3916 0.0539 0.0000 0.3795 0.5623 0.2242 0.1968 0.3108 0.2114 0.2260 0.0336 0.2780 0.5647 0.0198 0.1224 0.5890 0.5538 0.5120 0.4349 0.7266 1.0000 0.1136 0.0000 0.0456 0.2128 0.0069 0.4100 0.4502 0.3848

  3. Performance measures MeasPred 0.4050 0.8344 0.9373 1.0000 0.8161 0.6388 0.6752 0.9841 0.0253 0.0000 0.3196 0.5388 0.6764 0.6247 0.1872 0.1921 0.4220 0.6546 0.6545 0.6546 0.7917 0.1342 0.4405 0.3551 0.1548 0.0000 0.2740 0.1993 0.4399 0.6461 0.1725 0.3916 0.0539 0.0000 0.3795 0.5623 0.2242 0.1968 0.3108 0.2114 0.2260 0.0336 0.2780 0.5647 0.0198 0.1224 0.5890 0.5538 0.5120 0.4349 0.7266 1.0000 0.1136 0.0000 0.0456 0.2128 0.0069 0.4100 0.4502 0.3848

  4. Pearsons’ correlation coefficient

  5. Performance measures • Accuracy of prediction method Sort

  6. Matthews correlation - Threshold of 0.5

  7. Matthews correlation - Threshold of 0.5

  8. TP FP TN Evaluation of predictionaccuracy FN

  9. AP AN Evaluation of predictionaccuracy

  10. Performance measure – Roccurve 4 10 0.29 1 12 0.08

  11. Performance measure – Roccurve 4 10 0.29 1 12 0.08

  12. ROC curves AUC = 0.5 AUC = 1.0

  13. AUC (area under the ROC curve)

  14. Summary • MSE • Small is good • Perfect = 0.0 • MCC and PCC • Random = 0.0 • Perfect = 1.0 (or -1) • ROC (AUC) • Random = 0.5 • Perfect = 1 (or 0)

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