I performed a Cox PH estimation of an experiment with a treatment and control group. Survival time is measured in days. The exponentiated coefficient for the treatment group is 1.105. If I understand correctly, this means that a person in the treatment group has a 10.5% higher probability of not surviving at any given time than a person in the control group, all other variables remaining the same. However, I'm trying to quantify this effect in a number of days shortened.
- Is it correct to calculate this as 'for each in individual in the treatment group the expected survival days are 10.5% shorter than if they had been in the control group'?
- And if so, would it be sufficient to multiply their number of survival days by 1.105 to simulate their number of survival days had they been in the control group?