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Global hypothesis test to simultaneously compare the predictive values of two binary diagnostic tests

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  • Roldán Nofuentes, José Antonio
  • Luna del Castillo, Juan de Dios
  • Montero Alonso, Miguel Ángel

Abstract

The positive and negative predictive values of a binary diagnostic test are measures of the clinical accuracy of the diagnostic test, which depend on the sensitivity and specificity of the diagnostic test and the disease prevalence, and therefore they are two interdependent parameters. The comparisons of predictive values in paired designs do not consider the dependence between predictive values. A global hypothesis test has been studied in order to simultaneously compare the predictive values of two or more binary diagnostic tests when the binary tests and the gold standard are applied to all of the individuals in a random sample. This global hypothesis test is an asymptotic hypothesis test based on the chi-square distribution. Simulation experiments have been carried out in order to study the type I error and the power of the global hypothesis test when comparing the predictive values of two and three binary diagnostic tests, respectively. From the results of the simulation experiments, a method has been proposed to simultaneously compare the predictive values of two or more binary diagnostic tests. The results have been applied to the diagnosis of coronary disease.

Suggested Citation

  • Roldán Nofuentes, José Antonio & Luna del Castillo, Juan de Dios & Montero Alonso, Miguel Ángel, 2012. "Global hypothesis test to simultaneously compare the predictive values of two binary diagnostic tests," Computational Statistics & Data Analysis, Elsevier, vol. 56(5), pages 1161-1173.
    • Handle: RePEc:eee:csdana:v:56:y:2012:i:5:p:1161-1173
    DOI: 10.1016/j.csda.2011.06.003
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    References listed on IDEAS

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    1. Wendy Leisenring & Todd Alono & Margaret Sullivan Pepe, 2000. "Comparisons of Predictive Values of Binary Medical Diagnostic Tests for Paired Designs," Biometrics, The International Biometric Society, vol. 56(2), pages 345-351, June.
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    1. Saad Bouh Regad & José Antonio Roldán-Nofuentes, 2021. "Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design," Mathematics, MDPI, vol. 9(6), pages 1-22, March.
    2. José Antonio Roldán-Nofuentes & Saad Bouh Regad, 2021. "Confidence Intervals and Sample Size to Compare the Predictive Values of Two Diagnostic Tests," Mathematics, MDPI, vol. 9(13), pages 1-19, June.

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