Comparing the Likelihood Ratios of Two Binary Diagnostic Tests in the Presence of Partial Verification

The comparison of the efficiency of two binary diagnostic tests requires one to know the disease status for all patients in the sample, by applying a gold standard. In two‐phase studies the gold standard is not applied to all patients in a sample, and the problem of partial verification of the disea...

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Bibliographic Details
Published in:Biometrical journal 2005-08, Vol.47 (4), p.442-457
Main Authors: Roldán Nofuentes, J. A., Luna del Castillo, J. D.
Format: Article
Language:English
Subjects:
Algorithms
Alzheimer Disease - diagnosis
Applications
Biology, psychology, social sciences
Computer Simulation
Confidence Intervals
Data Interpretation, Statistical
Diagnosis, Computer-Assisted - methods
Diagnostic test
Exact sciences and technology
Humans
Likelihood Functions
Likelihood ratio
Mathematics
Medical sciences
Models, Biological
Models, Statistical
Nonparametric inference
Parametric inference
Partial verification
Probability and statistics
Reproducibility of Results
Research Design
ROC Curve
Sciences and techniques of general use
Sensitivity and Specificity
Statistics
Verification bias
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Summary:The comparison of the efficiency of two binary diagnostic tests requires one to know the disease status for all patients in the sample, by applying a gold standard. In two‐phase studies the gold standard is not applied to all patients in a sample, and the problem of partial verification of the disease arises. At present, one of the approaches most used for comparing two binary diagnostic tests are the likelihood ratios. In this study, the maximum likelihood estimators of likelihood ratios are obtained. The tests of hypothesis to compare the likelihood ratios of two binary diagnostic tests when both are applied to the same random sample in the presence of verification bias are deduced, and simulation experiments are performed in order to investigate the asymptotic behaviour of the tests of hypothesis. The results obtained have been applied to the study of Alzheimer's disease. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:0323-3847
1521-4036
DOI:10.1002/bimj.200410134