Then the quantity exp(b i) can be interpreted as the instantaneous relative risk of an event, at any time, for an individual with the risk factor present compared with an individual with the risk factor absent, given both individuals are the same on all other covariates. Suppose the covariate (risk factor) is dichotomous and is coded 1 if present and 0 if absent. The coefficients b i.b k are estimated by Cox regression, and can be interpreted in a similar manner to that of multiple logistic regression. X k are a collection of predictor variables and H 0(t) is the baseline hazard at time t, representing the hazard for a person with the value 0 for all the predictor variables.īy dividing both sides of the above equation by H 0(t) and taking logarithms, we obtain: recurrence of disease) is called the hazard. The probability of the endpoint (death, or any other event of interest, e.g. Cox proportional-hazards regression Command:Ĭox regression (or Cox proportional hazards regression) is a statistical method to analyze the effect of several risk factors on survival, or in general on the time it takes for a specific event to happen.
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