Cox non-proportional hazard model - assumption violation check [closed]

I have just coded a Cox non proportional regression coxph(formula = Surv(TIME, TIME2, DEL) ~ SCORE10K + Z, data = WRDS) where SCORE10K and Z are two time dependent variables which should predict bankruptcy. However when I check for assumption violations, I get this strange output. SCORE10K and Z are decimal variables.

summary(viol.cox)
Length Class  Mode
table      9     -none- numeric
x         25     -none- numeric
y         50     -none- numeric
var        4     -none- numeric
call       2     -none- call
transform  1     -none- character

> cox.zph(model.coxph)
rho chisq   p
SCORE10K  NA   NaN NaN
Z         NA   NaN NaN
GLOBAL    NA   NaN NaN
Warning message:
In cor(xx, r2) : the standard deviation is zero

• Also I would like to add that I think this is due to the fact that SCORE10K and Z both have quite a few NAs in the dataset. But I still wouldn't know how to fix the problem even if this is the reason. – mariapena Nov 30 '16 at 10:03
• So I dont think that NAs are the problem after all, because I just checked the hazard model with another time-dependent variable that has no NAs (or very few), remove the Z score, and still I get the same output with the cox.zph function. – mariapena Nov 30 '16 at 11:15
• This is off-topic here but if you repost on a more appropriate site you will need to give a reproducible example. – mdewey Dec 1 '16 at 9:49
• @mdewey I am not sure I understand why this is off-topic? But you are a statistician from what I see! Any chance you would know how I should approach this modelling issue? I am really confused about what model to turn to if a hazard model doesnt work with my data set. See below. – mariapena Dec 1 '16 at 10:22
• Because it is about interpreting an R error message not about a statistical problem. If you find why it gives the error message and can then tell us what feature of your data is causing the problem then there may be a statistical question behind it. – mdewey Dec 1 '16 at 10:29

Looking at your other question for information on the data, I think I know the problem. If indeed all of the events occur on the 4th spell (time-period), than you have no variance.

For example, in this dummy dara.frame there are 4 individuals, 2 experiencing the event at the same spell (3rd):

testDS <- data.frame(id=c(1,1,1,2,2,2,3,3,3,4,4,4), t_start=c(1,2,3,1,2,3,1,2,3,1,2,3),
event=c(0,0,0,0,0,0,0,0,1,0,0,1), ind1=c(10,12,15,9,5,11,10,12,30,21,21,27))
testDS$t_end <- testDS$t_start+1
(cox.zph(coxph(Surv(t_start, t_end, event)~ind1, data=testDS)))


gets:

> (cox.zph(test_cox))
rho chisq   p
ind1  NA   NaN NaN
Warning message:
In cor(xx, r2) : the standard deviation is zero


Yet when I add a 5th individual who experienced the event at the 2nd spell:

testDS1 <- data.frame(id=c(1,1,1,2,2,2,3,3,3,4,4,4,5,5), t_start=c(1,2,3,1,2,3,1,2,3,1,2,3,1,2),
event=c(0,0,0,0,0,0,0,0,1,0,0,1,0,1), ind1=c(10,12,15,9,5,11,10,12,30,21,21,27,13,40))
testDS1$t_end <- testDS1$t_start+1


I get no warnings:

    > (cox.zph(test_cox))
rho   chisq     p
ind1 -0.114 0.00835 0.927


Point is, a Cox hazard model might not be the right one for your needs.

• Thank you Yuval. However my thesis supervisor made it clear that hazard modelling is the best option with this dataset. Is it just the specifications of the Cox model that make it impossible to estimate the violation of assumptions? Or do I need to re-structure my data? The Thermeau paper you shared with me shows that my data disposition should be fine... – mariapena Dec 1 '16 at 9:46
• Hmm.. this might be better answered by one of the statisticians here. I'll try to find something about it also. – Yuval Spiegler Dec 1 '16 at 10:10
• I have still not found the solution to this data disposition problem... Any chance you found something? – mariapena Dec 2 '16 at 8:47