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Table 5 Simulation 1A subgroup discovery using random forest (five subgroups found)

From: Preventing false discovery of heterogeneous treatment effect subgroups in randomized trials

 

Single agent

Combination

ASD

Group 1: disease free >12 months adjuvant to recurrence

\( \widehat{\Delta}=-0.05\left(-0.30,0.20\right) \)

 

n = 35

n = 38

 

 Age (years)

64.6 (±5.6)

65.0 (±5.1)

0.08

 Stage 4

  No

1 (2.9%)

0 (0.0%)

0.24

  Yes

34 (97.1%)

38 (100.0%)

0.24

 Site

  Visceral

19 (54.3%)

15 (39.5%)

0.3

  Bone only

5 (14.3%)

6 (15.8%)

0.04

  Other

11 (31.4%)

17 (44.7%)

0.28

 Previous treatment

  None

24 (68.6%)

19 (50.0%)

0.38

  Chemo only

6 (17.1%)

8 (21.1%)

0.1

  Hormonal only

3 (8.6%)

4 (10.5%)

0.07

  Chemo + hormonal

2 (5.7%)

7 (18.4%)

0.4

 ECOG score

  0

15 (42.9%)

14 (36.8%)

0.12

  1

20 (57.1%)

24 (63.2%)

0.12

 Disease free >12 months adjuvant to recurrence

  Yes

35 (100.0%)

38 (100.0%)

0

Group 2: not disease free >12 months adjuvant to recurrence, previous treatment hormonal or chemo + hormonal, site bone only or other

\( \widehat{\Delta}=0.06\left(-0.40,0.53\right) \)

 

n = 11

n = 10

 

 Age (years)

63.9 (±4.9)

63.6 (±3.4)

0.07

 Stage 4

  Yes

11 (100.0%)

10 (100.0%)

NaN

 Site

  Bone only

2 (18.2%)

0 (0.0%)

0.67

  Other

9 (81.8%)

10 (100.0%)

0.67

 Previous treatment

  Hormonal only

6 (54.5%)

9 (90.0%)

0.86

  Chemo + hormonal

5 (45.5%)

1 (10.0%)

0.86

 ECOG score

  0

4 (36.4%)

5 (50.0%)

0.28

  1

7 (63.6%)

5 (50.0%)

0.28

 Disease free >12 months adjuvant to recurrence

  No

11 (100.0%)

10 (100.0%)

0

Group 3: not disease free >12 months adjuvant to recurrence, previous treatment hormonal or chemo + hormonal, site visceral

\( \widehat{\Delta}=-0.57\left(-1.00,-0.08\right) \)

 

n = 11

n = 8

 

 Age (years)

67.3 (±5.2)

64.2 (±4.8)

0.62

 Stage 4

  No

2 (18.2%)

0 (0.0%)

0.67

  Yes

9 (81.8%)

8 (100.0%)

0.67

 Site

  Visceral

11 (100.0%)

8 (100.0%)

NaN

 Previous treatment

  Hormonal only

7 (63.6%)

6 (75.0%)

0.25

  Chemo + hormonal

4 (36.4%)

2 (25.0%)

0.25

 ECOG score

  0

6 (54.5%)

2 (25.0%)

0.63

  1

5 (45.5%)

6 (75.0%)

0.63

 Disease free >12 months adjuvant to recurrence

  No

11 (100.0%)

8 (100.0%)

0

Group 4: not disease free >12 months adjuvant to recurrence, previous treatment none or chemo only, ECOG = 0

\( \widehat{\Delta}=-0.10\left(-0.48,0.28\right) \)

 

n = 20

n = 16

 

 Age (years)

63.7 (±6.4)

63.1 (±5.7)

0.1

 Stage 4

   

  No

1 (5.0%)

0 (0.0%)

0.32

  Yes

19 (95.0%)

16 (100.0%)

0.32

 Site

  Visceral

11 (55.0%)

10 (62.5%)

0.15

  Bone only

4 (20.0%)

2 (12.5%)

0.2

  Other

5 (25.0%)

4 (25.0%)

0

 Previous treatment

  None

15 (75.0%)

8 (50.0%)

0.53

  Chemo only

5 (25.0%)

8 (50.0%)

0.53

 ECOG score

  0

20 (100.0%)

16 (100.0%)

0

 Disease free >12 months adjuvant to recurrence

  No

20 (100.0%)

16 (100.0%)

0

Group 5: not disease free >12 months adjuvant to recurrence, previous treatment none or chemo only, ECOG = 1

\( \widehat{\Delta}=-0.62\left(-0.87,-0.37\right) \)

 

n = 23

n = 28

 

 Age (years)

66.1 (±6.2)

66.5 (±4.8)

0.07

 Stage 4

  No

0 (0.0%)

1 (3.6%)

0.27

  Yes

23 (100.0%)

27 (96.4%)

0.27

 Site

  Visceral

12 (52.2%)

16 (57.1%)

0.1

  Bone only

2 (8.7%)

5 (17.9%)

0.27

  Other

9 (39.1%)

7 (25.0%)

0.31

 Previous treatment

  None

17 (73.9%)

25 (89.3%)

0.4

  Chemo only

6 (26.1%)

3 (10.7%)

0.4

 ECOG score

  1

23 (100.0%)

28 (100.0%)

0

 Disease free >12 months adjuvant to recurrence

  No

23 (100.0%)

28 (100.0%)

0

  1. ASD absolute standardized difference, ECOG Eastern Cooperative Oncology Group