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Table 6 Estimated IRT parameter values for the 9QSF combination with the NRM for the developmental group

From: Comparison of unweighted and item response theory-based weighted sum scoring for the Nine-Questions Depression-Rating Scale in the Northern Thai Dialect

Item

Gender

IRT Parameters Values without Accounting for DIF

ai(11)

ai(12)

ai(13)

ai(21)

ai(22)

ai(23)

ai(31)

ai(32)

ai(33)

ci(11)

ci(12)

ci(13)

ci(21)

ci(22)

ci(23)

ci(31)

ci(32)

ci(33)

1

All

2.817

4.147

5.575

5.899

8.204

10.329

5.391

17.461

18.590

1.396

2.056

2.074

1.429

1.602

1.745

1.839

1.828

1.792

2

All

2.817

5.102

8.882

4.095

7.303

8.797

11.209

11.209a

12.589

0.896

1.713

1.710

1.180

1.499

1.630

1.730

1.730a

1.702

3

All

0.726

1.471

1.227

1.318

2.100

1.355

2.267

2.794

2.394

2.657

3.758

4.077

2.369

2.335

3.199

2.822

2.746

2.124

4

All

1.806

6.653

12.413

3.545

11.530

8.426

16.246

21.364

20.098

1.866

2.001

1.963

1.727

1.856

1.891

1.953

2.086

1.960

5

All

1.264

-0.987

2.110

1.584

1.757

1.573

1.237

1.879

2.199

2.214

-6.726

2.724

2.152

2.829

3.351

4.594

4.082

2.535

6

All

1.543

3.078

0.661

2.215

4.392

3.194

3.097

3.373

6.390

2.070

2.444

9.259

2.111

2.035

2.568

2.329

2.426

2.050

7

All

1.457

3.504

3.640

2.947

4.583

6.095

5.375

5.761

6.831

1.485

2.449

2.412

1.630

1.832

2.254

2.170

1.992

1.974

8

All

1.544

4.594

4.594a

2.213

3.027

4.682

3.270

2.832

5.722

1.711

2.335

2.335a

1.844

2.109

2.130

2.396

2.649

2.047

9

All

3.006

22.604

22.604a

3.784

5.533

8.547

7.059

5.426

7.316

2.164

2.644

2.644a

2.212

2.294

2.348

2.157

2.377

2.225

Item

Gender

IRT Parameters Values Accounting for DIF

ai(11)

ai(12)

ai(13)

ai(21)

ai(22)

ai(23)

ai(31)

ai(32)

ai(33)

ci(11)

ci(12)

ci(13)

ci(21)

ci(22)

ci(23)

ci(31)

ci(32)

ci(33)

1

M

1.877

3.535a

4.823a

7.482

7.182

9.688

2.965

16.850

18.626

1.850

2.170a

2.177a

1.544

1.763

1.720

2.242

1.887

1.942

 

F

1.877

3.535

4.823

4.416

7.203

6.588

8.015

10.973

12.933

1.680

2.170

2.177

1.498

1.636

2.001

1.854

1.845

1.751

2

M

1.877

5.161a

8.094a

3.785

6.309

5.527

11.454

11.454a

15.614

1.305

1.747

1.730a

1.354a

1.929

1.753

1.989

1.989a

2.071

 

F

1.877

5.161

8.094

2.835

6.749

9.965

11.361

11.361a

11.784

1.014

1.747

1.730

1.376

1.536

1.746

1.774

1.774a

1.703

3

All

0.770

1.500

1.292

1.402

2.153

1.443

2.194

2.290

3.057

2.531

3.705

3.913

2.282

2.307

3.059

2.787

2.458

2.009

4

M

1.877

7.178

10.268a

4.539

10.076a

6.696

12.374a

17.574

10.240

1.941

2.006

1.921a

1.650

1.797a

1.851

1.895a

2.262

1.909

 

F

1.877

6.386

10.268

3.231

10.076

9.269

12.374

17.574a

15.687

1.803

2.005

1.921

1.776

1.797

1.927

1.895

2.262a

1.943

5

M

1.877

-0.121

2.490

2.534

1.595

1.163

2.794

2.218a

2.045

1.758

-46.399

2.394

1.939

2.513

3.596

2.283

3.409a

2.399

 

F

1.877

-4.018

2.619

1.651

3.144

3.148

-3.384

2.218

3.146

1.726

-3.104

2.392

1.955

2.292

2.454

-3.221

3.409

2.185

6

All

1.523

3.194

0.821

2.319

4.138

2.853

3.147

3.791

6.204

2.101

2.412

7.557

2.077

2.056

2.710

2.319

2.334

2.063

7

M

1.877

4.159a

4.698

5.225

5.786

6.666a

6.649

6.759

13.936

1.312

2.150a

1.856

1.469

1.815

2.085a

1.921

1.818

2.223

 

F

1.877

4.159

4.698a

2.834

5.097

6.666

7.160

7.134

7.604

1.283

2.150

1.856a

1.603

1.708

2.085

2.077

1.923

1.865

8

M

1.877

4.798a

4.798a

2.925

1.882

7.366

9.494

6.674

10.526

1.440

2.200a

2.200a

1.560

2.912

1.744

1.996

1.967

1.972

 

F

1.877

4.798

4.798a

2.384

3.708

7.366a

2.877

2.164

6.045

1.582

2.200

2.200a

1.796

1.920

1.744a

2.486

3.105

2.003

9

M

1.877

11.826a

11.826a

4.163

4.929a

9.665

9.195

4.550a

18.334

2.759

2.517a

2.517a

2.101

2.328a

2.181

2.062

2.454a

2.390

 

F

1.877

11.826

11.826a

3.119

4.929

9.665a

5.990

4.550

3.777

2.684

2.517

2.517a

2.439

2.328

2.181a

2.337

2.454

2.591

  1. ai(sf) Category slope parameters for item i in category sf; ci(sf) Category intercept parameters for item i in category sf; IRT Item Response Theory, NRM Nominal-response model, DIF Differential item functioning, M Male; F Female
  2. aReplaced with the parameter value from the other gender when they were absent for a particular gender or the values from the previous set of frequencies with the same intensity when they were absent for both genders