Evaluation of a new diagnostic test against a reference test less than perfect in accuracy
- 1 January 1996
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Simulation and Computation
- Vol. 25 (2) , 533-555
- https://doi.org/10.1080/03610919608813328
Abstract
An EM algorithm is developed for computing the maximum likelihood estimates, along with their standard errors, of the accuracy rates of a new medical diagnostic test, as well as for those of a reference test (not necessarily a perfect gold standard), based on the outcomes of the tests when both are applied simultaneously to individuals with unknown disease state sampled from an arbitrary number of populations for which the prevalence rate of the disease in question is also unknown. This algorithm is heuristically appealing in that it also estimates the prevalence rate in each population and aids the perception of the effects of numerical constraints imposed on some of the rate parameters. Several illustrative examples are provided.Keywords
This publication has 14 references indexed in Scilit:
- Use of Two Data Sources to Estimate Odds Ratios in Case-Control StudiesEpidemiology, 1993
- Instrumental variables in the evaluation of diagnostic test procedures when the true disease state is unknownStatistics in Medicine, 1988
- On the Convergence of the EM AlgorithmJournal of the Royal Statistical Society Series B: Statistical Methodology, 1983
- Finding the Observed Information Matrix When Using the EM AlgorithmJournal of the Royal Statistical Society Series B: Statistical Methodology, 1982
- Methodology for the assessment of new dichotomous diagnostic testsJournal of Chronic Diseases, 1981
- Maximum Likelihood Estimation of Observer Error-Rates Using the EM AlgorithmJournal of the Royal Statistical Society Series C: Applied Statistics, 1979
- Maximum Likelihood from Incomplete Data Via the EM AlgorithmJournal of the Royal Statistical Society Series B: Statistical Methodology, 1977
- COMPARISON OF A SCREENING TEST AND A REFERENCE TEST IN EPIDEMIOLOGIC STUDIESAmerican Journal of Epidemiology, 1966
- Experience with the Tuberculin Tine Test in a SanatoriumPublished by American Medical Association (AMA) ,1962
- A Coefficient of Agreement for Nominal ScalesEducational and Psychological Measurement, 1960