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Table 2 Simulations results: relative bias of model parameters for low 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

0.2157

22.3405

0.9001

1.1061

0.6187

77.4912

0.1821

5.5733

2.6803

14.4064

 

10

3.3939

22.1855

1.1485

0.5399

0.2169

129.4999

0.7945

5.9039

2.4429

14.9468

 

15

0.2315

22.2708

1.3985

0.0946

0.4619

175.0008

1.4886

6.5439

2.4417

16.5623

 

25

1.5321

22.1504

1.8233

1.7052

1.6413

273.7677

3.1293

6.4496

3.1511

20.3027

 

50

1.3699

21.7546

3.6344

5.3290

4.6976

532.4839

8.3763

9.3616

7.9156

30.6630

500

5

0.2556

21.5565

0.2726

0.0707

0.6062

36.0688

0.4649

0.1000

0.0440

0.5662

 

10

1.9185

21.3569

0.4126

0.8612

1.1048

79.5267

1.1380

0.1392

0.0640

0.9334

 

15

3.4729

21.2975

0.6091

1.3911

1.5773

120.2866

1.6905

0.6533

0.1375

1.3348

 

25

0.1728

20.9193

0.9847

3.0168

2.8914

212.8892

3.0037

1.7108

0.1707

2.2996

 

50

1.7796

19.8756

2.3534

7.4185

7.8224

444.8984

8.3268

2.8825

0.9417

4.7449

1000

5

0.0184

20.1206

0.5111

0.9550

0.8944

44.8903

0.6416

0.3375

0.6727

0.2864

 

10

0.0302

20.0392

0.6927

1.5469

1.3819

87.2876

1.2630

0.2644

0.8368

0.0338

 

15

0.0424

19.8918

0.8955

2.1650

1.8632

139.1406

1.8765

0.0905

0.9058

0.2346

 

25

0.0763

19.6487

1.3465

3.5027

3.2279

240.5047

3.3728

0.7920

1.0379

0.6998

 

50

0.2146

18.4371

2.7442

8.0212

7.5645

482.3023

8.8312

2.2757

1.4414

3.6641

5000

5

1.6360

19.8545

0.0630

0.8358

0.6849

48.0499

0.6231

0.9167

0.0643

0.5431

 

10

0.0529

19.7483

0.2447

1.4861

1.2312

95.3766

1.2469

1.1418

0.1531

0.6085

 

15

1.5950

19.6407

0.4366

2.1381

1.7922

142.7663

1.9299

1.3603

0.2632

0.9193

 

25

0.1003

19.3803

0.8741

3.5248

3.0292

240.2600

3.4624

1.9415

0.5656

1.3986

 

50

0.2294

18.2465

2.2807

7.9142

7.5368

487.8892

8.8603

3.0965

0.9679

3.1725

  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
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BMC Medical Research Methodology

ISSN: 1471-2288

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