Skip to main content

Table 1 Simulations results: relative bias of model parameters for high separation setting according to the number of individuals, n, and to the censoring rate, τ

From: Joint latent class model: Simulation study of model properties and application to amyotrophic lateral sclerosis disease

  

Longitudinal sub-model

Survival sub-model

n

τ

\(\hat {\sigma }_{b} \)

\(\hat {\sigma }_{\epsilon } \)

\(\hat {\beta }_{0g}\)

\(\hat {\beta }_{1g}\)

\(\hat {\zeta }_{1g}\)

\(\hat {\zeta }_{2g}\)

    

g=1

g=2

g=1

g=2

g=1

g=2

g=1

g=2

100

5

0.1053

21.1797

0.0429

1.3974

0.0281

10.7052

0.3018

3.2362

2.5023

9.8304

 

10

0.0961

21.2395

0.1421

1.6954

0.0748

38.1642

0.2923

3.1830

2.4243

10.0367

 

15

0.0997

21.3986

0.2846

1.9987

0.1936

59.0676

0.4148

3.6286

2.3160

10.5283

 

25

0.0824

21.3810

0.4687

3.0567

0.4054

82.7586

0.4455

3.6646

2.2878

11.9084

 

50

1.7125

21.8392

1.3486

5.3694

0.8271

120.1328

1.1201

7.5050

3.5401

14.0533

500

5

0.2267

21.4488

0.1534

0.1412

0.0685

25.4826

0.0591

0.5932

0.0332

0.2021

 

10

0.2230

21.3820

0.2346

0.2261

0.1317

35.8174

0.1892

0.4996

0.1561

0.0727

 

15

0.2062

21.4656

0.3380

0.4738

0.2027

48.1685

0.3062

0.0501

0.1232

0.0229

 

25

0.2011

21.4412

0.5670

1.3390

0.4127

74.1988

0.2546

0.6707

0.4496

0.1703

 

50

0.1945

21.6664

1.3876

3.7674

0.9627

116.6916

0.7377

1.6005

0.6217

1.4936

1000

5

0.0004

20.1935

0.3260

0.7563

0.2925

8.4122

0.1684

0.1125

0.4160

0.2180

 

10

0.0015

20.2002

0.4197

1.0629

0.3599

19.7922

0.3399

0.0777

0.4994

0.0130

 

15

0.0117

20.1928

0.5181

1.3744

0.4324

31.9018

0.3658

0.2015

0.3471

0.1781

 

25

1.6848

20.2110

0.7436

2.1019

0.6690

60.0292

0.4954

0.6364

0.1559

0.4325

 

50

0.0072

20.3934

1.5776

4.6004

1.0896

102.7405

0.8822

1.3124

0.5011

1.9393

5000

5

1.6342

19.9957

0.0242

0.5270

0.2185

16.5831

0.1929

0.6064

0.0605

0.2997

 

10

1.6315

19.9945

0.1226

0.8526

0.3075

31.0770

0.2985

0.7797

0.0810

0.3320

 

15

0.0380

19.9728

0.2215

1.2091

0.3905

44.6046

0.4162

0.8876

0.0823

0.5370

 

25

0.0449

20.0112

0.4584

1.9183

0.5515

72.0024

0.6396

1.2441

0.0648

0.8037

 

50

0.0400

20.2601

1.2738

4.3253

1.0406

113.4169

1.0629

1.8816

0.5238

1.7593

  1. The estimations of the error and the random intercept standard deviations (\(\hat {\sigma }_{\epsilon }\) and \(\hat {\sigma }_{b} \) respectively), of the intercept and the slope (\(\hat {\beta }_{0g}, \hat {\beta }_{1g}\) respectively) from the longitudinal sub-model and of Weibull scale and shape from the survival sub-model (\(\hat {\zeta }_{1g}\) and \(\hat {\zeta }_{2g}\) respectively) are presented. g: class membership identification
Back to article page

BMC Medical Research Methodology

ISSN: 1471-2288

Contact us