13_AS_3_lec_a

There is a negative correlation between hazard rate

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Unformatted text preview: ariate If βj is negative, the hazard rate decreases with the j th covariate, ie there is a negative correlation between hazard rate and the j th covariate 7/45 Discussions: If obese individuals are more likely to suﬀer from major heart disease, what’s the sign of the regression covariate associated with the covariate representing weight? If individuals who drink a high volume of non-alcoholic liquids are less likely to suﬀer from liver disease, what’s the sigh sigh of the regression parameter associated with the covariate representing liquid intake? Actuarial Statistics – Module 3: Semi-parametric methods: Cox Regression Model Main assumptions Interpretation - magnitude of β the sheer magnitude of the β does not say much (as this depends on how the covariates have been deﬁned) so need of hypothesis test to check that β = 0 at a signiﬁcant level if β is estimated with standard techniques then it is easy to check their level of signiﬁcance (more in the model building section) 8/45 Actuarial Statistics – Module 3: Semi-parametric methods: Cox Regression Model On the proportionality of hazard rates 1 Introduction 2 Main assumptions 3 On the proportionality of hazard rates 4 Estimation of the regression parameters β 5 Hypothesis tests on the β ’s 6 Estimation of the full survival function 7 Diagnostics for the Cox regression model 8/45 Actuarial Statistics – Module 3: Semi-parametric methods: Cox Regression Model On the proportionality of hazard rat...
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This document was uploaded on 04/03/2014.

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