Estimaci´on simult´anea de la sensibilidad y la especificidad utilizando la metodolog´ıa GSK en presencia de covariables
Abstract (en)
Sensitivity and specificity are measures used to evaluate the performance of diagnostic tests, not only in the health sector with areas such as epidemiology, psychology, and genetics, but also in other fields such as the banking and financial sector, as well as agronomy. Sensitivity indicates the proportion of positive cases that are correctly detected by the test, in other words, sensitivity measures the effectiveness of the test when used in positive individuals, while specificity indicates the proportion of negative cases that are correctly detected by the test, i.e., it measures the effectiveness of the test when used in negative individuals. For the estimation of both quantities, various authors have proposed different methods such as the ’Gold standard’ test, Bayesian approximation, maximum likelihood, or through logistic models. However, these tests only provide marginal type estimates. In this article, we develop a procedure for simultaneously estimating sensitivity and specificity using the GSK methodology in the presence of covariates.
Abstract (es)
La sensibilidad y la especificidad son medidas que se utilizan para evaluar el rendimiento de pruebas diagn´osticas, no s´olo en el sector de la salud con ´areas como la epidemiolog´ıa, la psicolog´ıa y la gen´etica, sino tambi´en en otros campos como el sector bancario y financiero, as´ı como la agronom´ıa. La sensibilidad se˜nala la proporci´on de casos positivos que son bien detectados por la prueba, en otras palabras, la sensibilidad mide la efectividad de la prueba cuando se usa en individuos positivos, mientras que la especificidad se˜nala la proporci´on de casos negativos que son bien detectados por la prueba, es decir, mide la efectividad de la prueba cuando se usa en individuos negativos. Para la estimaci´on de ambas cantidades varios autores han propuesto diferentes métodos tales como la prueba “Gold standard”, aproximaci´on bayesiana, m´axima verosimilitud, o por medio de modelos log´ısticos. Sin embargo ´estas pruebas solo dan estimaciones de tipo marginal. En el presente art´ıculo se desarrolla un procedimiento para estimar de forma simult´anea la sensibilidad y la especificidad utilizando la metodolog´ıa GSK en presencia de covariables.
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