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Logistic Regression Use & Interpretation

Logistic Regression : Use & Interpretation of Odds Ratio (OR) Fu-Lin Wang, ,MPH, PhDEpidemiologistAdjunct Assistant (780)422-1825 Surveillance & Assessment Branch, AHWC ommunity Health Sciences, the University of CalgaryeSAS, Edmonton, Nov 26, 2011 Background Odds: The ratio of the probability of occurrence of an event to that of nonoccurrence. Odds ratio (OR, relative odds): The ratio of two odds, the Interpretation of the odds ratio may vary according to definition of odds and the situation under discussion. Consider the 2x2 table:EventNon-EventTotalExposureaba+bNo n-Exposurecdc+dTotala+cb+dNeSAS, Edmonton, Nov 26, 2011A 2x2 Table for Two Binary Variables The probability of having lung cancer among smokers is 4 times of not having lung Ca No Lung CaTotalSmoking8020100 Non-Smoking2080100 Total100100200 The probability of developing lung cancer among smokersis 16 times of that for Lung Cancersmokers = 80/20= Ratio for Lung Cancersmokers = (80/20) / (20/80) = , Edmonton, Nov 26, 2011 Why is the odds ratio useful?

Logistic Regression: Use & Interpretation of Odds Ratio (OR) Fu-Lin Wang, B.Med.,MPH, PhD Epidemiologist. Adjunct Assistant Professor. Fu-lin.wang@gov.ab.ca

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