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I have the following model fit:

Call:
coxph(formula = surv ~ data$Arm * x)


                                     coef  exp(coef) se(coef)    z    p
data$ArmLevel1                   0.062322      1.06  0.70338  0.0886 0.93
  covariate1                    -0.000495      1.00  0.00710 -0.0697 0.94
 data$ArmLevel1:covariate1       0.003183      1.00  0.00857  0.3714 0.71

What's the easiest way to test that covariate1 is significant controlling for Arm? Thus I want to use this model object to test that covariate1 is significant given that ArmLevel=0 and that ArmLevel =1?

If there's a way to look at this both sliced (thus both p-values) and pooled, that would be great!

Thanks!

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