Artículo
Matrix form of the Bayes theorem and diagnostic tests
Autor/es | Pérez Nimo, María Magdala
Camúñez Ruiz, José Antonio |
Departamento | Universidad de Sevilla. Departamento de Economía Aplicada I |
Fecha de publicación | 2018 |
Fecha de depósito | 2022-01-21 |
Publicado en |
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Resumen | In order to solve certain problems in calculating probabilities, such as Markov chains or conditional
specification of discrete distributions, the use of matrix and vector treatment of conditioned probabilities and ... In order to solve certain problems in calculating probabilities, such as Markov chains or conditional specification of discrete distributions, the use of matrix and vector treatment of conditioned probabilities and of vectors of marginal probabilities is common. Following these ideas, the present study obtains matrix forms of some elementary results of probability theory, such as the total probability and Bayes theorems. These results and methodology are applied to the matrix study of results of diagnostic tests, allowing an immediate generalization to tests with more than two results. In addition,we propose safety and validity measures of a test based on matrix rules, which in some cases are related to the well-known Youden index. |
Cita | Pérez Nimo, M.M. y Camúñez Ruiz, J.A. (2018). Matrix form of the Bayes theorem and diagnostic tests. IOSR Journal of Mathematics, 14 (6), 1-6. |
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