Table 5 Parameter estimates and measures of fit from lung dataset example for regular and k-means shared frailty models for 3 -5 groups

Coefficient regular

Coefficient k-means

Parameter

3 groups

4 groups

5 groups

3 groups

4 groups

5 groups

Trt

0.4718

0.4718

0.4718

0.4512

0.4511

0.4509

Ns basis 1

0.7456

0.7456

0.7456

0.7769

0.7789

0.7779

Ns basis 2

0.3552

0.3552

0.3552

0.3829

0.3882

0.3864

Ns basis 3

2.3404

2.3404

2.3404

2.4377

2.4404

2.4396

Ns basis 4

1.0204

1.0204

1.0204

1.0046

1.0001

1.002

Standard error regular

Standard error k-means

Parameter

3 groups

4 groups

5 groups

3 groups

4 groups

5 groups

Trt

0.1201

0.1201

0.1201

0.1174

0.1174

0.1175

Ns basis 1

0.6215

0.6215

0.6215

0.6212

0.6210

0.6210

Ns basis 2

0.5182

0.5182

0.5182

0.5140

0.5140

0.5138

Ns basis 3

1.5051

1.5051

1.5051

1.5028

1.5023

1.5028

Ns basis 4

0.6395

0.6395

0.6395

0.6342

0.6349

0.6349

p-values regular

p-values k-means

Parameter

3 groups

4 groups

5 groups

3 groups

4 groups

5 groups

Trt

< 0.0001

< 0.0001

< 0.0001

< 0.0001

< 0.0001

< 0.0001

Ns basis 1

0.2303

0.2303

0.2303

0.2111

0.2098

0.2103

Ns basis 2

0.4931

0.4931

0.4931

0.4562

0.4501

0.452

Ns basis 3

0.1200

0.1200

0.1200

0.1048

0.1043

0.1045

Ns basis 4

0.1105

0.1105

0.1105

0.1132

0.1152

0.1145

frailty

0.3029

0.3029

0.3029

0.5665

0.4805

0.5003

p-values for non-linearity

0.0003

0.0030

0.0003

0.2046

0.1956

0.1981

AIC

1466.74

1466.74

1466.74

1477.51

1477.44

1477.49

MSE

2.13

2.13

2.13

1.91

1.90

1.90

Frailty variance

0.017

0.017

0.017

0.0007

0.0007

0.0007

Mean time

305.23