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Table 1 Relative mean squared error (MSE) by method, cutpoint, and compliance distribution (relative to intention to treat (ITT))

From: Dichotomizing partial compliance and increased participant burden in factorial designs: the performance of four noncompliance methods

Cutpoint

Method

Compliance distribution

Beta (1, 0.1765)

Beta (0.25, 0.05)

Beta (0.5, 0.5)

Uniform

0.9

PP

1.064

0.951

0.991

2.251

AT

1.148

0.898

1.023

2.365

IV

2.598

1.508

17.183

173.917

0.85

PP

1.024

0.930

0.863

1.390

AT

1.081

0.868

0.905

1.504

IV

2.004

1.434

8.887

44.182

0.8

PP

0.998

0.915

0.760

1.050

AT

1.025

0.847

0.793

1.160

IV

1.671

1.366

5.543

18.681

0.75

PP

0.985

0.918

0.690

0.866

AT

1.001

0.856

0.712

0.981

IV

1.469

1.313

3.833

9.308

0.7

PP

0.954

0.913

0.658

0.795

AT

0.959

0.853

0.682

0.912

IV

1.336

1.274

2.858

5.467

0.65

PP

0.944

0.909

0.637

0.720

AT

0.944

0.851

0.656

0.835

IV

1.242

1.245

2.230

3.476

0.6

PP

0.933

0.900

0.616

0.667

AT

0.927

0.845

0.635

0.779

IV

1.172

1.218

1.818

2.369

0.55

PP

0.933

0.898

0.607

0.651

AT

0.927

0.848

0.619

0.745

IV

1.127

1.190

1.555

1.763

0.5

PP

0.931

0.904

0.592

0.641

AT

0.924

0.857

0.603

0.720

IV

1.092

1.171

1.362

1.386