Classification into Two Groups with different Cost of Misclassification Ratios

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dc.contributor.authorOyeyemi, G. M.
dc.contributor.authorOyebanji, L. A.
dc.date.accessioned2023-07-27T09:01:19Z
dc.date.available2023-07-27T09:01:19Z
dc.date.issued2016
dc.description.abstractFisher’s Linear Discriminant and Bayesian Classification procedures were compared when the assumption of equal cost of misclassification is violated. The comparison was carried out at various sample sizes and different misclassification cost ratios. Data were simulated to consist two groups (populations) of four variables each from two multivariate normal populations. The homogeneity of the variance-covariance matrices of the two groups was tested using Box’s M-Test. The apparent Error Rate as the estimate of the Actual Error Rate was used to judge the performance of both procedures at different misclassification cost ratios (1:1, 1:2, , , 4:5) and sample sizes (10, 20, 30, 40, , , 100). The results show that at equal cost ratio (1:1), both approaches produced almost the same error rate at different sample sizes. With difference in misclassification cost ratio, the Bayesian approach generally has higher proportion of misclassification than the Fisher at various ratios and sample sizes. The Fisher performed better in small sample cases (n < 50) under all cost ratios considered except 1:2 and 1:5. For large sample cases (n > 50), the performance was better at cost ratios 2:3, 2:4 and 2:5en_US
dc.description.sponsorshipSelf-sponsoreden_US
dc.identifier.citationJournal of the Nigerian Association of Mathematical Physicsen_US
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/11631
dc.language.isoenen_US
dc.publisherNigerian Association of Mathematical Physicsen_US
dc.relation.ispartofseries35;163 – 174.
dc.subjectFisher’s Linear Discriminant Function, Baye’s Classification Rule, Apparent Error Rates, Cost of Misclassification, Cost Adjusted Prior Probabilities, Cost Matrixen_US
dc.titleClassification into Two Groups with different Cost of Misclassification Ratiosen_US
dc.typeArticleen_US

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