Skip to main content

Table 2 Mean bias and imprecision of individual scores for depression, n = 52 for random, demographic and subscale dependent missingness mechanisms

From: Handling missing items in the Hospital Anxiety and Depression Scale (HADS): a simulation study

Method

Bias

Imprecision

n methoda

Random

Demog

Subscale

Random

Demog

Subscale

25 % missing item rate, psub = 0.5 pitem = 0.5

 Subject mean

0.083

0.002

−0.060

1.638

1.707

2.177

52

 Subscale mean

0.004

−0.007

−0.010

2.316

2.533

3.483

52

 Subscale ½ mean

0.006

−0.002

−0.003

0.617

0.637

0.886

40

 Item mean

0.001

−0.360

−1.110

2.755

3.453

4.745

52

 Multiple imputation

0.016

−0.087

−0.324

1.727

2.043

2.623

52

 Multiple imputation ½

0.010

−0.027

−0.119

0.635

0.738

0.965

40

10 % missing item rate, psub = 0.5 pitem = 0.2

 Subject mean

0.028

0.002

−0.025

0.459

0.474

0.632

52

 Subscale mean

−0.003

0.001

−0.002

0.526

0.543

0.767

52

 Subscale ½ mean

−0.002

0.001

−0.000

0.437

0.453

0.631

47

 Item mean

−0.002

−0.123

−0.372

0.747

0.897

1.052

52

 Multiple imputation

0.005

−0.012

−0.075

0.532

0.612

0.773

52

 Multiple imputation ½

0.001

−0.007

−0.063

0.472

0.545

0.672

47

10 % missing item rate, psub = 0.2 pitem = 0.5

 Subject mean

0.034

−0.003

−0.082

0.674

0.685

0.991

52

 Subscale mean

−0.001

−0.004

0.001

0.986

1.025

1.468

52

 Subscale ½ mean

0.004

−0.002

−0.001

0.212

0.212

0.313

47

 Item mean

−0.002

−0.132

−0.702

1.102

1.310

3.435

52

 Multiple imputation

0.005

−0.027

−0.234

0.662

0.751

1.276

52

 Multiple imputation ½

0.002

−0.007

−0.074

0.195

0.222

0.363

47

2 % missing item rate, psub = 0.1 pitem = 0.2

 Subject mean

0.006

−0.000

−0.023

0.091

0.098

0.151

52

 Subscale mean

−0.000

−0.000

0.001

0.106

0.110

0.158

52

 Subscale ½ mean

0.000

0.000

0.001

0.083

0.086

0.128

51

 Item mean

0.000

−0.029

−0.164

0.141

0.177

0.541

52

 Multiple imputation

0.001

−0.004

−0.038

0.101

0.112

0.192

52

 Multiple imputation ½

0.000

−0.002

−0.033

0.086

0.193

0.163

51

  1. 1000 simulated datasets
  2. aSample size after imputation