Hello everyone
I would like to ask a query about 'best subsets' in Cox regression.
When using best subsets variable selection in *multiple regression* if
we compare models of different sizes we can use the statistics
R-sq(adj), MSE and Cp to determine a 'suitable' model in the statistical
sense.
For *survival modelling* using Cox regression there is an option for
best subsets in SAS.
Say we have 12 candidate predictors and we request that three models of
each size should be printed, the package will generate 3 models with 1
predictor, 3 models with 2 predictors, 3 models with 3 predictors etc.
The 'best' model is based on the global chi squared statistic. If two
models have the same number of variables, the best model is the one with
the largest global chi squared statistic.
Now does anyone know how do we choose the 'best' model overall? i.e.
which would be the best model if we have the following output (below)?
The manual is a little vague.
Many thanks,
Kim.
Regression Models Selected by Score Criterion
Number of Score
Variables Chi-Square Variables Included in Model
1 6.4174 pnod
1 5.3917 nodord
1 4.9045 dage40
2 11.2277 difng33 pnod
2 11.0591 pnod dage40
2 10.4046 difng33 nodord
3 15.4714 pnod dage40 cmvpos
3 15.3138 difng33 pnod dage40
3 14.9648 pnod dage40 ftom
4 19.3362 difng33 pnod dage40 cmvpos
4 18.8174 pnod dage40 ftom cmvpos
4 18.6466 difng33 pnod dage40 ftom
5 22.1963 difng33 pnod dage40 ftom cmvpos
5 21.8328 difng33 pnod dage40 ftom tcell
5 21.2103 difng33 nodord dage40 ftom tcell
6 24.1018 difng33 pnod dage40 ftom cmvpos tcell
6 23.6548 difng33 dnod nodord dage40 ftom tcell
6 23.3141 difng33 nodord dage40 ftom cmvpos tcell
7 25.4732 difng33 dnod nodord dage40 ftom cmvpos tcell
7 25.2016 difng33 pnod nodord dage40 ftom cmvpos tcell
7 24.6031 dvdr11 difng33 pnod dage40 ftom cmvpos tcell
8 26.2360 dvdr11 difng33 dnod nodord dage40 ftom cmvpos
tcell
8 26.1088 difng33 pnod dnod nodord dage40 ftom cmvpos tcell
8 25.7520 dvdr11 difng33 pnod nodord dage40 ftom cmvpos
tcell
9 26.8345 dvdr11 difng33 pnod dnod nodord dage40 ftom
cmvpos tcell
9 26.4488 dvdr11 dil6gg difng33 dnod nodord dage40 ftom
cmvpos tcell
9 26.2768 dvdr11 difng33 pat26c dnod nodord dage40 ftom
cmvpos tcell
10 27.0339 dvdr11 dil6gg difng33 pnod dnod nodord dage40
ftom cmvpos tcell
10 26.9042 dvdr11 difng33 pat26c pnod dnod nodord dage40
ftom cmvpos tcell
10 26.8377 dvdr11 difng33 pnod dnod nodord dage40 page35
ftom cmvpos tcell
11 27.1351 dvdr11 dil6gg difng33 pat26c pnod dnod nodord
dage40 ftom cmvpos tcell
11 27.0376 dvdr11 dil6gg difng33 pnod dnod nodord dage40
page35 ftom cmvpos tcell
11 26.9081 dvdr11 difng33 pat26c pnod dnod nodord dage40
page35 ftom cmvpos tcell
12 27.1399 dvdr11 dil6gg difng33 pat26c pnod dnod nodord
dage40 page35 ftom cmvpos tcell
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