Likelihood ratios, sensitivity, and specificity values can be back-calculated when the odds ratios are known.

Journal Article (Journal Article)

OBJECTIVE: To provide a solution for calculating the true-positive, false-positive, false-negative, and true-negative results from studies where only the odds ratios (ORs), number of patients with the finding, and number of patients with the target condition are given. RESULTS: The quadratic formula shown here allows investigators conducting systematic reviews to back-calculate the sensitivity, specificity, and likelihood ratios (LRs) from the OR. A spreadsheet that requires only the OR, and the row and column total from the 2 × 2 table enables the back-calculation of the individual true positives, false positives, false negatives, and true negatives. Solutions are also available for the special situations when the OR = 1 or the OR is nonestimable because of zero false positives or false negatives. CONCLUSIONS: A simple spreadsheet enables those conducting systematic reviews of diagnostic tests to include studies that report only the OR. This approach should enrich the number of studies retained in meta-analyses of diagnostic tests where the desire is to create summary sensitivity, specificity, or LRs.

Full Text

Duke Authors

Cited Authors

  • Simel, DL; Easter, J; Tomlinson, G

Published Date

  • April 2013

Published In

Volume / Issue

  • 66 / 4

Start / End Page

  • 458 - 460

PubMed ID

  • 23021858

Electronic International Standard Serial Number (EISSN)

  • 1878-5921

Digital Object Identifier (DOI)

  • 10.1016/j.jclinepi.2012.07.014


  • eng

Conference Location

  • United States