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Table 5 Root mean square errors (RMSE) between CAT estimated θs and true θs

From: An evaluation of computerized adaptive testing for general psychological distress: combining GHQ-12 and Affectometer-2 in an item bank for public mental health research

Theta estimator

Item selection

Prior

SEM threshold θ true  ~ N(0,1)

SEM threshold θ true  ~ U(-3,3)

0.25

0.32

0.40

0.45

0.50

0.25

0.32

0.40

0.45

0.50

MLE

UW-FI

-

0.253

0.318

0.401

0.449

0.489

0.266

0.322

0.402

0.457

0.499

MLE

FP-KL

-

0.253

0.319

0.401

0.448

0.488

0.266

0.324

0.402

0.457

0.497

BME

UW-FI

Normal

0.251

0.322

0.407

0.453

0.476

0.279

0.355

0.48

0.558

0.619

BME

UW-FI

Uniform

0.257

0.318

0.401

0.447

0.491

0.266

0.318

0.401

0.451

0.502

BME

FP-KL

Normal

0.251

0.322

0.406

0.448

0.474

0.279

0.355

0.48

0.555

0.619

BME

FP-KL

Uniform

0.259

0.318

0.395

0.44

0.484

0.263

0.322

0.396

0.452

0.491

EAP

UW-FI

Normal

0.247

0.313

0.383

0.429

0.465

0.276

0.345

0.448

0.516

0.575

EAP

UW-FI

Uniform

0.253

0.315

0.383

0.422

0.462

0.261

0.319

0.39

0.43

0.466

EAP

FP-KL

Normal

0.247

0.313

0.383

0.427

0.468

0.276

0.346

0.447

0.512

0.585

EAP

FP-KL

Uniform

0.253

0.315

0.377

0.422

0.463

0.263

0.319

0.385

0.43

0.465