Doing a cox regression, how do I analyze a continuous variable in which a lower result is worse?

I have this variable that is clinically worse the lower it is. Instead of interpreting, for example, a hazard ratio of 0.9 as per unit increase in variable x, there is a x% reduction in risk for mortality, I want to get a 1 HR (for ex 1.05) and say per unit decrease in variable x there is a 5% higher risk for mortality.

How do I handle this using SPSS?

Topic spss regression

Category Data Science


With a simple linear regression you have a dependent and independent variable, with an outcome model of:

y = - mx + c

If I understand your problem, y would be mortality, and x would be your clinical variable (i.e. when x increases y decreases). And it would be the same if you want to do your other example, because there is an inverse relationship between the two (i.e. when you decrease x, y increases).

It sounds like your hazard ratio is m (i.e. the relationship between the clinical variable and the mortality)

m = (y - c )/x

So to getting a HR>1 will depend on your data.

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