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Table 4 Type I error and power of seven randomization designs under a time trend

From: A roadmap to using randomization in clinical trials

 

Type I error rate

Power

Without adjustment for serum bilirubin

With adjustment for serum bilirubin

Without adjustment for serum bilirubin

With adjustment for serum bilirubin

Population model-based approach to statistical inference

CRD

0.0481

0.0504

0.6114

0.9694

Rand

0.0517

0.0511

0.6193

0.9701

TBD

0.1451

0.0511

0.5856

0.9702

PBD(2)

0.0064

0.0511

0.6540

0.9704

PBD(4)

0.0073

0.0518

0.6612

0.9688

BSD(3)

0.0084

0.0541

0.6547

0.9697

GBCD(2)

0.0185

0.0546

0.6367

0.9699

Randomization-based approach to statistical inference

CRD

0.049

0.052

0.617

0.970

Rand

0.047

0.048

0.602

0.973

TBD

0.047

0.048

0.367

0.968

PBD(2)

0.048

0.048

0.901

0.969

PBD(4)

0.047

0.047

0.874

0.971

BSD(3)

0.048

0.051

0.860

0.964

GBCD(2)

0.050

0.049

0.803

0.971