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Table 3 Performance for scenario II with true intervention effect of \({\beta }_{t}=-0.264\)

From: Comparison of statistical models for estimating intervention effects based on time-to-recurrent-event in stepped wedge cluster randomized trial using open cohort design

 

Event Generation model

     

Dealing with clusters

Statistical model

 

σ2

Bias

MSE

CP

With stratification by clusters

Poisson process

AG

0.25

0.0250

0.0036

0.943

0.5

0.0296

0.0040

0.933

1

0.0358

0.0043

0.899

PWP-TT

0.25

-0.0001

0.0037

0.957

0.5

0.0016

0.0037

0.947

1

0.0001

0.0036

0.951

PWP-GT

0.25

0.0367

0.0051

0.898

0.5

0.0387

0.0050

0.901

1

0.0358

0.0047

0.892

Mixed-Poisson process

AG

0.25

0.0296

0.0040

0.923

0.5

0.0329

0.0043

0.917

1

0.0397

0.0047

0.870

PWP-TT

0.25

0.0105

0.0038

0.938

0.5

0.0121

0.0039

0.941

1

0.0143

0.0038

0.937

PWP-GT

0.25

0.0545

0.0067

0.844

0.5

0.0573

0.0071

0.820

1

0.0591

0.0070

0.796

Weibull model (parameter constant)

AG

0.25

0.0572

0.0069

0.844

0.5

0.0556

0.0067

0.831

1

0.0510

0.0061

0.836

PWP-TT

0.25

0.0531

0.0066

0.852

0.5

0.0512

0.0064

0.857

1

0.0461

0.0058

0.861

PWP-GT

0.25

0.0041

0.0038

0.950

0.5

0.0015

0.0033

0.959

1

0.0008

0.0033

0.939

Weibull model (parameter change)

AG

0.25

0.1237

0.0166

0.158

0.5

0.1196

0.0157

0.197

1

0.1087

0.0134

0.275

PWP-TT

0.25

0.0333

0.0034

0.892

0.5

0.0323

0.0034

0.889

1

0.0300

0.0033

0.886

PWP-GT

0.25

-0.0002

0.0022

0.952

0.5

-0.0006

0.0022

0.965

1

0.0005

0.0022

0.954

Without stratification by clusters

Poisson process

AG

0.25

0.0362

0.0139

0.560

0.5

0.0451

0.0438

0.324

1

0.0666

0.1344

0.172

PWP-TT

0.25

0.0057

0.0179

0.521

0.5

0.0228

0.0537

0.289

1

0.0634

0.1262

0.180

PWP-GT

0.25

0.0361

0.0200

0.481

0.5

0.0552

0.0595

0.274

1

0.1067

0.1530

0.161

Mixed-Poisson process

AG

0.25

0.0400

0.0139

0.556

0.5

0.0472

0.0430

0.319

1

0.0696

0.1286

0.179

PWP-TT

0.25

0.0177

0.0162

0.534

0.5

0.0318

0.0489

0.308

1

0.0708

0.1159

0.177

PWP-GT

0.25

0.0527

0.0196

0.477

0.5

0.0697

0.0566

0.290

1

0.1189

0.1440

0.166

Weibull model (parameter constant)

AG

0.25

0.0417

0.0195

0.483

0.5

0.0486

0.0623

0.270

1

0.0720

0.1760

0.159

PWP-TT

0.25

0.0405

0.0194

0.482

0.5

0.0558

0.0567

0.286

1

0.0950

0.1295

0.182

PWP-GT

0.25

0.0085

0.0195

0.466

0.5

0.0264

0.0606

0.260

1

0.0828

0.1525

0.168

Weibull model (parameter change)

AG

0.25

0.1227

0.0203

0.254

0.5

0.1216

0.0338

0.276

1

0.1227

0.0814

0.186

PWP-TT

0.25

0.0281

0.0156

0.438

0.5

0.0445

0.0456

0.258

1

0.0835

0.1011

0.179

PWP-GT

0.25

0.0068

0.0162

0.429

0.5

0.0274

0.0506

0.255

1

0.0845

0.1259

0.161

  1. AG Andersen-Gill, PWP-TT Prentice-Williams-Peterson Total-Time, PWP-GT Prentice-Williams-Peterson Gap-Time, MSE Mean square error, CP Coverage probability