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Proportional hazards is an assumption of the Cox proportional hazards model of survival analysis and some other models as well. The assumption is that a linear increase in the predictor will have a uniform multiplicative relationship with the hazard.

1 vote
1 answer
2k views

What if proportional hazard assumption does not hold for a confounder in Cox PH model

If proportionality hazard assumption does not appear to hold for a covariate in the Cox PH model, is it a serious matter? The covariate is included in order to adjust for potential confounding. I am m …
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1 vote
0 answers
44 views

How to compute marginal hazard rate from parametric survival models?

Suppose that the conditional hazard rate for subject $i$ follows a proportional hazard model in the form of: $h_i(t)=h_0(t) exp(\beta_1X_{i1}+\beta_2X_{i2}+\beta_3X_{i3})$ $X_i$ are subject-specific c …
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  • 773
5 votes
1 answer
272 views

Is the effect in a Cox proportional hazard collapsible if the covariates are normally distri...

Since the Cox PH model is a non-linear model, we would expect the effect to be non-collapsible. i.e., the marginal and conditional effects differ. I did some calculation for a setting where the baseli …
hehe's user avatar
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