Journal
LIFETIME DATA ANALYSIS
Volume 21, Issue 2, Pages 300-314Publisher
SPRINGER
DOI: 10.1007/s10985-015-9318-z
Keywords
Additive rate model; Competing risks; Interaction; Monotonicity; Necessary and sufficient causes; Regression model
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In epidemiology, the concepts of biologic and statistical interactions have been the subject of extensive debate. We present a new approach to biologic interaction based on Rothman's original (Am J Epidemiol, 104:587-592, 1976) discussion of sufficient causes. We do this in a probabilistic framework using competing risks and argue that sufficient cause interaction between two factors can be evaluated via the parameters in a particular statistical model, the additive hazard rate model. We present empirical conditions for presence of sufficient cause interaction and an example based on data from a liver cirrhosis trial illustrates the ideas.
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