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Am J Epidemiol 2004; 159:882-890.
Copyright © 2004 by the Johns Hopkins Bloomberg School of Public Health


ORIGINAL CONTRIBUTIONS

Limitations of the Odds Ratio in Gauging the Performance of a Diagnostic, Prognostic, or Screening Marker

Margaret Sullivan Pepe1,2 , Holly Janes2, Gary Longton1, Wendy Leisenring1,2,3 and Polly Newcomb1

1 Division of Public Health Sciences, Fred Hutchinson Cancer Research Center, Seattle, WA.
2 Department of Biostatistics, University of Washington, Seattle, WA.
3 Division of Clinical Research, Fred Hutchinson Cancer Research Center, Seattle, WA.

A marker strongly associated with outcome (or disease) is often assumed to be effective for classifying persons according to their current or future outcome. However, for this assumption to be true, the associated odds ratio must be of a magnitude rarely seen in epidemiologic studies. In this paper, an illustration of the relation between odds ratios and receiver operating characteristic curves shows, for example, that a marker with an odds ratio of as high as 3 is in fact a very poor classification tool. If a marker identifies 10% of controls as positive (false positives) and has an odds ratio of 3, then it will correctly identify only 25% of cases as positive (true positives). The authors illustrate that a single measure of association such as an odds ratio does not meaningfully describe a marker’s ability to classify subjects. Appropriate statistical methods for assessing and reporting the classification power of a marker are described. In addition, the serious pitfalls of using more traditional methods based on parameters in logistic regression models are illustrated.

biological markers; diagnostic test; logistic regression; odds ratio; ROC curve; screening test

Abbreviations: Abbreviations: FPF, false-positive fraction; ROC, receiver operating characteristic; TPF, true-positive fraction.


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Bioinformatics, December 15, 2005; 21(24): 4356 - 4362.
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CirculationHome page
A. J.G. Hanley, A. J. Karter, K. Williams, A. Festa, R. B. D'Agostino Jr, L. E. Wagenknecht, and S. M. Haffner
Prediction of Type 2 Diabetes Mellitus With Alternative Definitions of the Metabolic Syndrome: The Insulin Resistance Atherosclerosis Study
Circulation, December 13, 2005; 112(24): 3713 - 3721.
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CirculationHome page
T. Pischon, C. J. Girman, F. M. Sacks, N. Rifai, M. J. Stampfer, and E. B. Rimm
Non-High-Density Lipoprotein Cholesterol and Apolipoprotein B in the Prediction of Coronary Heart Disease in Men
Circulation, November 29, 2005; 112(22): 3375 - 3383.
[Abstract] [Full Text] [PDF]


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Arch Intern MedHome page
P. Greenland and P. G. O'Malley
When Is a New Prediction Marker Useful?: A Consideration of Lipoprotein-Associated Phospholipase A2 and C-Reactive Protein for Stroke Risk
Arch Intern Med, November 28, 2005; 165(21): 2454 - 2456.
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DiabetesHome page
M. K. Rutter, J. B. Meigs, L. M. Sullivan, R. B. D'Agostino Sr, and P. W. Wilson
Insulin Resistance, the Metabolic Syndrome, and Incident Cardiovascular Events in the Framingham Offspring Study
Diabetes, November 1, 2005; 54(11): 3252 - 3257.
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Diabetes CareHome page
J. Liu, C. Sempos, R. P. Donahue, J. Dorn, M. Trevisan, and S. M. Grundy
Joint Distribution of Non-HDL and LDL Cholesterol and Coronary Heart Disease Risk Prediction Among Individuals With and Without Diabetes
Diabetes Care, August 1, 2005; 28(8): 1916 - 1921.
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GutHome page
W-Q Wei, C C Abnet, N Lu, M J Roth, G-Q Wang, B A Dye, Z-W Dong, P R Taylor, P Albert, Y-L Qiao, et al.
Risk factors for oesophageal squamous dysplasia in adult inhabitants of a high risk region of China
Gut, June 1, 2005; 54(6): 759 - 763.
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M. G. Shlipak, L. F. Fried, M. Cushman, T. A. Manolio, D. Peterson, C. Stehman-Breen, A. Bleyer, A. Newman, D. Siscovick, and B. Psaty
Cardiovascular Mortality Risk in Chronic Kidney Disease: Comparison of Traditional and Novel Risk Factors
JAMA, April 13, 2005; 293(14): 1737 - 1745.
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CirculationHome page
D. M. Lloyd-Jones and P. Greenland
Letter Regarding Article by Ridker et al, "Should C-Reactive Protein Be Added to Metabolic Syndrome and to Assessment of Global Cardiovascular Risk?"
Circulation, December 14, 2004; 110(24): e532 - e532.
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M. P. Stern, K. Williams, C. Gonzalez-Villalpando, K. J. Hunt, and S. M. Haffner
Does the Metabolic Syndrome Improve Identification of Individuals at Risk of Type 2 Diabetes and/or Cardiovascular Disease?
Diabetes Care, November 1, 2004; 27(11): 2676 - 2681.
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