Indexes to Measure Dependence between Clinical Diagnostic Tests: A Comparative Study

Indices para medir dependencia entre pruebas para diagn\'ostico cl\'inico: un estudio comparativo

JOS\'E RAFAEL TOVAR1, JORGE ALBERTO ACHCAR2

1Universidade Estadual de Campinas, Instituto de Matem\'atica Estat\' \i stica e Computa\c c\~ao Cient\'ifica, Departamento de Estat\'istica, Campinas, Brasil. Professor. Email: rtovar34@hotmail.com
2Universidade de S\~ao Paulo, Faculdade de Sa\'ude, Departamento de Medicina Social FMRP, Riber\~ao Preto, Brasil. Professor. Email: achacar@fmrp.usp.br


Abstract

In many practical situations, clinical diagnostic procedures include two or more biological traits whose outcomes are expressed on a continuous scale and are then dichotomized using a cut point. As measurements are performed on the same individual there is a likely correlation between the continuous underlying traits that can go unnoticed when the parameter estimation is done with the resulting binary variables. In this paper, we compare the performance of two different indexes developed to evaluate the dependence between diagnostic clinical tests that assume binary structure in the results with the performance of the binary covariance and two copula dependence parameters.

Key words: Copula, Farlie Gumbel Morgenstern distribution, Gumbel distribution.


Resumen

Muchos procedimientos de diagn\ostico cl\inico m\edico exigen la evaluaci\on de dos o mas rasgos biol\ogicos que se ven alterados ante la presencia de fen\omenos de enfermedad o infecci\on, los cuales se expresan en una escala cont\inua de medici\on con posterior dicotomizaci\on usando de un valor l\imite o punto de corte. Dado que las mediciones son realizadas en el mismo indiv\iduo, los resultados probablemente presenten dependencia de alg\un tipo, lo cual puede ser ignorado en la etapa de an\alisis de datos dada la presentaci\on binaria de los datos. En este estudio comparamos el comportamiento de dos par\ametros de dependencia presentes en funciones de c\opula con el de la covarianza binaria y dos \indices creados para medir dependencia entre pruebas diagn\osticas de respuesta dic\otoma.

Palabras clave: c\'{o}pula, distribuci\'{o}n Farlie, Gumbel.


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[Recibido en enero de 2011. Aceptado en junio de 2011]

Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:

@ARTICLE{RCEv34n3a03,
    AUTHOR  = {Tovar, Jos\'e Rafael and Achcar, Jorge Alberto},
    TITLE   = {{Indexes to Measure Dependence between Clinical Diagnostic Tests: A Comparative Study}},
    JOURNAL = {Revista Colombiana de Estadística},
    YEAR    = {2011},
    volume  = {34},
    number  = {3},
    pages   = {433-450}
}