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Understanding diagnostic tests 2: likelihood ratios, pre- and post-test probabilities and their use in clinical practice.

Akobeng AK

Department of Paediatric Gastroenterology, Central Manchester University Hospital, Manchester, UK. tony.akobeng@cmmc.nhs.uk

The sensitivity and specificity of a test cannot be used to estimate probability of disease in individual patients. They can, however, be combined into a single measure called the likelihood ratio which is, clinically, more useful than sensitivity or specificity. Likelihood ratios provide a summary of how many times more (or less) likely patients with a disease are to have a particular result than patients without the disease. Using the principles of the Bayes theorem, likelihood ratios can be used in conjunction with pre-test probability of disease to estimate an individual's post-test probability of disease, that is his or her chance of having disease once the result of a test is known. The Fagan's nomogram is a graphical tool which, in routine clinical practice, allows one to combine the likelihood ratio of a test with a patient's pre-test probability of disease to estimate post-test probability. CONCLUSION: Likelihood ratios summarize information about a diagnostic test by combining sensitivity and specificity. The Fagan's nomogram is a useful and convenient graphical tool that allows likelihood ratios to be used in conjunction with a patient's pre-test probability of disease to estimate the post-test probability of disease.

Published 29 March 2007 in Acta Paediatr, 96(4): 487-91.
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The Gluten-free Gourmet, Second Edition: Living Well Without Wheat (Owl Books)

The Gluten-free Gourmet, Second Edition: Living Well Without Wheat (Owl Books)