Excess risk
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Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....

, excess risk is a measure of the association between a specified risk factor and a specified outcome (such as contracting a disease). It is the difference between two proportions—in epidemiology it's typically defined to be the difference between the proportion of subjects in a population with a particular disease who were exposed to a specified risk factor and the proportion of subjects with that same disease who were not exposed. That is,


where denotes the event "not E."
Note that this definition entails that -1 ≤ ER ≤ 1.
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