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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.
2
votes
Accepted
Applying Cox's Porportional Hazard model
In principle that sounds right. Obviously, the censoring indicator is 1 when the event indicator (i.e. actual time was observed) is 0 and vice versa (most software will let you indicate what the obser …
3
votes
Accepted
How to calculate Hazard ratio if there are more than two Kaplan-Meier curves
This depends on what the multiple groups are.
For example, they might be a placebo group and 3 different drugs. Then one might compare each drug with the placebo, and perhaps also each drug versus th …
4
votes
Cox proportional model with multiple failures for same subjects
This is more of a recurrent events or count data scenario and there is a huge literature on this topic.
In general, you will have to assume a dependence across observations from the same object / pa …
4
votes
Does the proportional hazards assumption still matter if the covariate is time-dependent?
You are still assuming that the effect of the value at each covariates/factor at each timepoint is the same, you simply allow the covariate to vary its value over time (but the change in the log-hazar …