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st: Cox model with a segmented time-dependent covariate


From   Marta Garcia-Granero <[email protected]>
To   [email protected]
Subject   st: Cox model with a segmented time-dependent covariate
Date   Wed, 15 Jan 2014 19:27:25 +0100

I am trying to replicate some SPSS commands in Stata. This data were modified from David Collett (2003) Modelling Survival Data in Medical Research (Chapman & Hall/CRC Texts in Statistical Science), and show a hypothetical clinical trial on 12 patients. I want to test if treatment is significant, adjusted for age and ln(bilirrubin). Ln(bilirrubin) were measured 3 times: at baseline (lbr0); approximately at 3 months -with the exact day recorded in t1 (lbr1); and approximately at 6 months - with exact day recorded in t2 (lbr2).

+----------------------------------------------------------------------------+
| patient time status treatment age lbr0 t1 lbr1 t2 lbr2 |
|----------------------------------------------------------------------------|
1. | 1 281 Died Placebo 46 3.2 47 3.8 184 4.9 | 2. | 2 604 Alive Placebo 57 3.1 94 2.9 187 3.1 | 3. | 3 457 Died Placebo 56 2.2 61 2.8 97 2.9 | 4. | 4 384 Died Placebo 65 3.9 92 4.7 194 4.9 | 5. | 5 341 Alive Placebo 73 2.8 87 2.6 192 2.9 |
|----------------------------------------------------------------------------|
6. | 6 842 Died Placebo 64 2.4 94 2.3 197 2.8 | 7. | 7 1514 Died Treatment 69 2.4 74 2.9 202 3 | 8. | 8 182 Alive Treatment 62 2.4 90 2.5 182 2.9 | 9. | 9 1121 Died Treatment 71 2.5 101 2.5 410 2.7 | 10. | 10 1411 Alive Treatment 69 2.3 182 2.2 847 2.8 |
|----------------------------------------------------------------------------|
11. | 11 814 Died Treatment 77 3.8 167 3.9 498 4.3 | 12. | 12 1071 Died Treatment 58 3.1 108 2.8 187 3.4 |
+----------------------------------------------------------------------------+

With SPSS, I had to define a time varying covariate (T_COV_) and add it to the model:

TIME PROGRAM.
COMPUTE T_COV_ = (T_<t1)*lbr0 + (T_>=t1&T_<t2)*lbr1 + (T_>=t2)*lbr2.
COXREG   time
  /STATUS=status(1)
  /CONTRAST (treatment)=Indicator
  /METHOD=ENTER T_COV_ treatment age.

In SPSS, T_ is the same as Stata's _t.

This is the output:
coef se HR ----95%CI------ LR de sig T_COV_ 4.533 2.488 93.05 0.71 12192.54 10.865 1 0.001 Treatment 4.749 2.860 115.50 0.42 31421.66 5.814 1 0.016
Age            -0.078     0.094    0.93     0.77    1.11    0.808 1    0.369

With Stata, I suspect I have to use, somehow, -stsplit- and -stjoin- , but I can't figure how (even though I have used help stsplit, and read the whole PDF on stcox).

Any hints?

Thanks,
Marta Garcia-Granero

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