Table 1. Open in new tab Results of...

		\|$n=250$\|	\|$n=500$\|
	Weighted	0.076	0.040	0.136	0.080
1. Non-tree, exponential	Simple	0.422	0.262	0.586	0.466
	DIPM	0.446	0.290	0.600	0.476
	Weighted	0.116	0.066	0.192	0.076
2. Non-tree, Weibull	Simple	0.560	0.432	0.724	0.664
	DIPM	0.566	0.444	0.750	0.682
	Weighted	0.700	0.498	0.912	0.856
3. Tree of depth 2	Simple	0.732	0.650	0.910	0.874
	DIPM	0.748	0.680	0.910	0.888
	Weighted	0.740	0.638	0.950	0.946
4. Tree of depth 3	Simple	0.760	0.758	0.910	0.902
	DIPM	0.784	0.784	0.942	0.918
	Weighted	0.072	0.036	0.068	0.040
5. Non-tree, non-PH	Simple	0.146	0.062	0.232	0.134
	DIPM	0.156	0.066	0.242	0.124
	No. of Z Vars.	Weighted Method	Simple Cox splits	DIPM Method
	1	0.586	0.644	0.694
6. Non-tree, exponential	10	0.020	0.098	0.070
	100	0.000	0.004	0.002
	1	0.642	0.708	0.756
7. Non-tree, Weibull	10	0.026	0.130	0.110
	100	0.000	0.004	0.002
	1	0.930	0.994	0.994
8. Tree of depth 2	10	0.616	0.970	0.962
	100	0.126	0.812	0.770
	1	0.634	0.636	0.656
9. Tree of depth 3	10	0.092	0.302	0.270
	100	0.002	0.060	0.040

|$n=250$|

|$n=500$|

Scenario

Method

|$p=20$|

|$p=50$|

|$p=20$|

|$p=50$|

Weighted

0.076

0.040

0.136

0.080

1. Non-tree, exponential

Simple

0.422

0.262

0.586

0.466

DIPM

0.446

0.290

0.600

0.476

Weighted

0.116

0.066

0.192

0.076

2. Non-tree, Weibull

Simple

0.560

0.432

0.724

0.664

DIPM

0.566

0.444

0.750

0.682

Weighted

0.700

0.498

0.912

0.856

3. Tree of depth 2

Simple

0.732

0.650

0.910

0.874

DIPM

0.748

0.680

0.910

0.888

Weighted

0.740

0.638

0.950

0.946

4. Tree of depth 3

Simple

0.760

0.758

0.910

0.902

DIPM

0.784

0.942

0.918

Weighted

0.072

0.036

0.068

0.040

5. Non-tree, non-PH

Simple

0.146

0.062

0.232

0.134

DIPM

0.156

0.066

0.242

0.124

No. of Z Vars.

Weighted Method

Simple Cox splits

DIPM Method

0.586

0.644

0.694

6. Non-tree, exponential

0.020

0.098

0.070

100

0.000

0.004

0.002

0.642

0.708

0.756

7. Non-tree, Weibull

0.026

0.130

0.110

100

0.000

0.004

0.002

0.930

0.994

8. Tree of depth 2

0.616

0.970

0.962

100

0.126

0.812

0.770

0.634

0.636

0.656

9. Tree of depth 3

0.092

0.302

0.270

100

0.002

0.060

0.040

		\|$n=250$\|	\|$n=500$\|
	Weighted	0.076	0.040	0.136	0.080
1. Non-tree, exponential	Simple	0.422	0.262	0.586	0.466
	DIPM	0.446	0.290	0.600	0.476
	Weighted	0.116	0.066	0.192	0.076
2. Non-tree, Weibull	Simple	0.560	0.432	0.724	0.664
	DIPM	0.566	0.444	0.750	0.682
	Weighted	0.700	0.498	0.912	0.856
3. Tree of depth 2	Simple	0.732	0.650	0.910	0.874
	DIPM	0.748	0.680	0.910	0.888
	Weighted	0.740	0.638	0.950	0.946
4. Tree of depth 3	Simple	0.760	0.758	0.910	0.902
	DIPM	0.784	0.784	0.942	0.918
	Weighted	0.072	0.036	0.068	0.040
5. Non-tree, non-PH	Simple	0.146	0.062	0.232	0.134
	DIPM	0.156	0.066	0.242	0.124
	No. of Z Vars.	Weighted Method	Simple Cox splits	DIPM Method
	1	0.586	0.644	0.694
6. Non-tree, exponential	10	0.020	0.098	0.070
	100	0.000	0.004	0.002
	1	0.642	0.708	0.756
7. Non-tree, Weibull	10	0.026	0.130	0.110
	100	0.000	0.004	0.002
	1	0.930	0.994	0.994
8. Tree of depth 2	10	0.616	0.970	0.962
	100	0.126	0.812	0.770
	1	0.634	0.636	0.656
9. Tree of depth 3	10	0.092	0.302	0.270
	100	0.002	0.060	0.040

Table 1.

Open in new tab

Results of simulation scenarios. Proportions of 500 simulation runs in which |$X_1$| is correctly selected at the first split in scenarios 1–3 and 5–8 and |$X_1$| then |$X_2$| and |$X_3$| are correctly selected as the first three splits in scenarios 4 and 9. |$n$| is the total sample size, and |$p$| denotes the total number of candidate split variables. In scenarios 6–9, the sample size is 300.

		\|$n=250$\|		\|$n=500$\|
Scenario	Method	\|$p=20$\|	\|$p=50$\|	\|$p=20$\|	\|$p=50$\|
	Weighted	0.076	0.040	0.136	0.080
1. Non-tree, exponential	Simple	0.422	0.262	0.586	0.466
	DIPM	0.446	0.290	0.600	0.476
	Weighted	0.116	0.066	0.192	0.076
2. Non-tree, Weibull	Simple	0.560	0.432	0.724	0.664
	DIPM	0.566	0.444	0.750	0.682
	Weighted	0.700	0.498	0.912	0.856
3. Tree of depth 2	Simple	0.732	0.650	0.910	0.874
	DIPM	0.748	0.680	0.910	0.888
	Weighted	0.740	0.638	0.950	0.946
4. Tree of depth 3	Simple	0.760	0.758	0.910	0.902
	DIPM	0.784	0.784	0.942	0.918
	Weighted	0.072	0.036	0.068	0.040
5. Non-tree, non-PH	Simple	0.146	0.062	0.232	0.134
	DIPM	0.156	0.066	0.242	0.124
	No. of Z Vars.	Weighted Method	Simple Cox splits	DIPM Method
	1	0.586	0.644	0.694
6. Non-tree, exponential	10	0.020	0.098	0.070
	100	0.000	0.004	0.002
	1	0.642	0.708	0.756
7. Non-tree, Weibull	10	0.026	0.130	0.110
	100	0.000	0.004	0.002
	1	0.930	0.994	0.994
8. Tree of depth 2	10	0.616	0.970	0.962
	100	0.126	0.812	0.770
	1	0.634	0.636	0.656
9. Tree of depth 3	10	0.092	0.302	0.270
	100	0.002	0.060	0.040

		\|$n=250$\|		\|$n=500$\|
Scenario	Method	\|$p=20$\|	\|$p=50$\|	\|$p=20$\|	\|$p=50$\|
	Weighted	0.076	0.040	0.136	0.080
1. Non-tree, exponential	Simple	0.422	0.262	0.586	0.466
	DIPM	0.446	0.290	0.600	0.476
	Weighted	0.116	0.066	0.192	0.076
2. Non-tree, Weibull	Simple	0.560	0.432	0.724	0.664
	DIPM	0.566	0.444	0.750	0.682
	Weighted	0.700	0.498	0.912	0.856
3. Tree of depth 2	Simple	0.732	0.650	0.910	0.874
	DIPM	0.748	0.680	0.910	0.888
	Weighted	0.740	0.638	0.950	0.946
4. Tree of depth 3	Simple	0.760	0.758	0.910	0.902
	DIPM	0.784	0.784	0.942	0.918
	Weighted	0.072	0.036	0.068	0.040
5. Non-tree, non-PH	Simple	0.146	0.062	0.232	0.134
	DIPM	0.156	0.066	0.242	0.124
	No. of Z Vars.	Weighted Method	Simple Cox splits	DIPM Method
	1	0.586	0.644	0.694
6. Non-tree, exponential	10	0.020	0.098	0.070
	100	0.000	0.004	0.002
	1	0.642	0.708	0.756
7. Non-tree, Weibull	10	0.026	0.130	0.110
	100	0.000	0.004	0.002
	1	0.930	0.994	0.994
8. Tree of depth 2	10	0.616	0.970	0.962
	100	0.126	0.812	0.770
	1	0.634	0.636	0.656
9. Tree of depth 3	10	0.092	0.302	0.270
	100	0.002	0.060	0.040

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