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Table 1 Simulation results (10-30% censored; Scenario 1)

From: A multiple imputation method based on weighted quantile regression models for longitudinal censored biomarker data with missing values at early visits

α

α 0

α 1

α 2

Method

Bias

100xRE

Bias

100xRE

Bias

100xRE

10% censored

 

OMNI

0.0015

–

-0.0004

–

-0.0009

–

CC-DL/2

-0.0353

40.885

0.2295

32.190

0.0163

49.142

MI 1

0.0151

19.644

-0.1900

15.025

-0.0531

29.805

MI 2

0.0289

54.944

0.0044

39.458

-0.0055

67.701

MI-CQR

0.0588

61.407

-0.0237

49.594

-0.0133

80.753

MI-wCQR 1

0.0548

64.175

-0.0142

53.410

-0.0109

82.931

MI-wCQR 2

0.0554

64.336

-0.0143

53.619

-0.0110

83.657

MI-wCQR 3

0.0562

63.070

-0.0119

53.832

-0.0112

82.383

15% censored

 

OMNI

0.0015

–

-0.0004

–

-0.0009

–

CC-DL/2

0.0155

34.977

0.1073

20.623

0.0005

43.807

MI 1

0.2081

12.694

-0.2884

11.962

-0.0673

20.976

MI 2

0.0318

51.749

0.0043

33.300

-0.0061

65.404

MI-CQR

0.0612

60.611

-0.0265

48.581

-0.0131

80.495

MI-wCQR 1

0.0541

62.868

-0.0195

52.850

-0.0097

81.684

MI-wCQR 2

0.0521

61.869

-0.0194

51.751

-0.0060

80.580

MI-wCQR 3

0.0566

61.969

-0.0155

51.419

-0.0104

81.064

20% censored

 

OMNI

0.0015

–

-0.0004

–

-0.0009

–

CC-DL/2

0.0769

25.633

-0.0500

14.061

-0.0084

35.731

MI 1

0.2753

11.360

-0.3920

10.965

-0.0793

15.871

MI 2

0.0339

47.699

0.0041

28.147

-0.0067

61.568

MI-CQR

0.0636

59.024

-0.0273

44.248

-0.0129

75.347

MI-wCQR 1

0.0542

62.054

-0.0215

49.542

-0.0087

79.569

MI-wCQR 2

0.0485

62.323

-0.0233

48.830

-0.0066

78.507

MI-wCQR 3

0.0618

60.503

-0.0178

45.908

-0.0112

75.721

30% censored

 

OMNI

0.0015

–

-0.0004

–

-0.0009

–

CC-DL/2

0.2094

12.909

-0.4255

7.810

0.0062

23.053

MI 1

0.4420

8.714

-0.6175

10.370

-0.0973

10.664

MI 2

0.0383

42.703

0.0019

21.804

-0.0076

54.866

MI-CQR

0.0621

58.587

-0.0198

39.975

-0.0111

75.797

MI-wCQR 1

0.0466

61.367

-0.0177

44.947

-0.0042

77.979

MI-wCQR 2

0.0327

62.075

-0.0262

43.389

0.0018

79.091

MI-wCQR 3

0.0302

61.427

-0.0072

40.062

0.0015

75.897

  1. OMNI: Omniscient; CC-DL/2: CC with censored values imputed by DL/2; MI-MCMC 1: MI-MCMC imputing only missing values; MI-MCMC 2: MI-MCMC imputing both censored and missing values; MI-CQR: MI-unweighted CQR; MI-wCQR 1: MI-weighted CQR using original probability of missing; MI-wCQR 2: MI-weighted CQR using estimated probability from censored values imputed by DL/2; MI-wCQR 3MI-weighted CQR using estimated probability from uncensored values only; RE: Relative Efficiency
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BMC Medical Research Methodology

ISSN: 1471-2288

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