Abstract
Techniques to deal with the off diagonal elements in confusion matrices are proposed. They are tailored to detect problems of bias of classification among classes. A Bayesian approach is developed aiming to estimate overprediction and underprediction probabilities among classes.
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Aldallal, A.: Toward efficient intrusion detection system using hybrid deep learning approach. Symmetry 14(9), 1916 (2022). https://doi.org/10.3390/sym14091916
Barranco-Chamorro, I., Carrillo-GarcĂa, R.M.: Techniques to deal with off-diagonal elements in confusion matrices. Mathematics 9(24), 3233 (2021). https://doi.org/10.3390/math9243233
Black, S., Gonen, M.: A generalization of the Stuart-Maxwell test. In: SAS Conference Proceedings: South-Central SAS Users Group. Applied Logic Associates, Inc., Houston (1997)
Congalton, R.G., Green, K.: Assessing the Accuracy of Remotely Sensed Data. Principles and Practices, 3rd edn. CRC Press, Boca Raton (2020)
Goin, J.E.: Classification bias of the k-nearest neighbor algorithm. IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6, 379–381 (1984). https://doi.org/10.1109/TPAMI.1984.4767533
Grandini, M., Bagli, E., Visani, G.: Metrics for multi-class classification: an overview. arXiv (2020). arXiv:2008.05756
Huang, Q., Zhang, X., Hu, Z.: Application of artificial intelligence modeling technology based on multi-omics in noninvasive diagnosis of inflammatory bowel disease. J. Inflamm. Res. 14, 1933–1943 (2021)
Liu, C., Frazier, P., Kumar, L.: Comparative assessment of the measures of thematic classification accuracy. Remote Sens. Environ. 107, 606–616 (2007)
McNemar, Q.: Note on the sampling error of the difference between correlated proportions or percentages. Psychometrika 12, 153–157 (1947)
Pontius, R., Millones, M.: Death to Kappa: birth of quantity disagreement and allocation disagreement for accuracy assessment. Int. J. Remote Sens. 32, 4407–4429 (2011)
R Core Team: R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna (2022) https://www.R-project.org/.
Sun, X., Yang, Z.: Generalized McNemar’s test for homogeneity of the marginal distributions. In: Proceedings of the SAS Global Forum Proceedings. Statistics and Data Analysis, San Antonio, 16–19 March, vol. 382, pp. 1–10 (2008)
Wei, H., Chen, W., Zhu, L., Chu, X., Liu, H., Mu, Y., Ma, Z.: Improved lightweight mango sorting model based on visualization. Agriculture 12(9), 1467 (2022). https://doi.org/10.3390/agriculture12091467
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Barranco-Chamorro, I., Carrillo-GarcĂa, R.M. (2023). Analysing Misclassifications in Confusion Matrices. In: Kitsos, C.P., Oliveira, T.A., Pierri, F., Restaino, M. (eds) Statistical Modelling and Risk Analysis. ICRA 2022. Springer Proceedings in Mathematics & Statistics, vol 430. Springer, Cham. https://doi.org/10.1007/978-3-031-39864-3_3
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