Phu Luc Bang Tra

8/16/2019 Phu Luc Bang Tra

1/22

Phụ lục 1: Bảng giá trị tớ i hạn của phân phối t

)( t t P (k là bậc tự do)

2/)( 2/ t t P

2/)( 2/ t t P

)( 2/t t P

Ví dụ: P(t > 0.05) = 1.697 k = 30

k0.001 0.002 0.005 0.010 0.020 0.025 0.05 0.1 0.2

1 318.309 159.153 63.657 31.821 15.895 12.706 6.314 3.078 1.376

2 22.327 15.764 9.925 6.965 4.849 4.303 2.920 1.886 1.061

3 10.215 8.053 5.841 4.541 3.482 3.182 2.353 1.638 0.978

4 7.173 5.951 4.604 3.747 2.999 2.776 2.132 1.533 0.941

5 5.893 5.030 4.032 3.365 2.757 2.571 2.015 1.476 0.920

6 5.208 4.524 3.707 3.143 2.612 2.447 1.943 1.440 0.906

7 4.785 4.207 3.499 2.998 2.517 2.365 1.895 1.415 0.896

8 4.501 3.991 3.355 2.896 2.449 2.306 1.860 1.397 0.889

9 4.297 3.835 3.250 2.821 2.398 2.262 1.833 1.383 0.883

10 4.144 3.716 3.169 2.764 2.359 2.228 1.812 1.372 0.879

11 4.025 3.624 3.106 2.718 2.328 2.201 1.796 1.363 0.876

12 3.930 3.550 3.055 2.681 2.303 2.179 1.782 1.356 0.873

13 3.852 3.489 3.012 2.650 2.282 2.160 1.771 1.350 0.870

14 3.787 3.438 2.977 2.624 2.264 2.145 1.761 1.345 0.868

15 3.733 3.395 2.947 2.602 2.249 2.131 1.753 1.341 0.866

16 3.686 3.358 2.921 2.583 2.235 2.120 1.746 1.337 0.865


2/22

k0.001 0.002 0.005 0.010 0.020 0.025 0.05 0.1 0.2

17 3.646 3.326 2.898 2.567 2.224 2.110 1.740 1.333 0.863

18 3.610 3.298 2.878 2.552 2.214 2.101 1.734 1.330 0.862

19 3.579 3.273 2.861 2.539 2.205 2.093 1.729 1.328 0.861

20 3.552 3.251 2.845 2.528 2.197 2.086 1.725 1.325 0.860

21 3.527 3.231 2.831 2.518 2.189 2.080 1.721 1.323 0.859

22 3.505 3.214 2.819 2.508 2.183 2.074 1.717 1.321 0.858

23 3.485 3.198 2.807 2.500 2.177 2.069 1.714 1.319 0.858

24 3.467 3.183 2.797 2.492 2.172 2.064 1.711 1.318 0.857

25 3.450 3.170 2.787 2.485 2.167 2.060 1.708 1.316 0.856

26 3.435 3.158 2.799 2.479 2.162 2.056 1.706 1.315 0.856

27 3.421 3.147 2.771 2.473 2.158 2.052 1.703 1.314 0.855

28 3.408 3.136 2.763 2.467 2.154 2.048 1.701 1.313 0.855

29 3.396 3.127 2.756 2.462 2.150 2.045 1.699 1.311 0.854

30 3.385 3.118 2.750 2.457 2.147 2.042 1.697 1.310 0.854

31 3.375 3.109 2.744 2.453 2.144 2.040 1.696 1.309 0.853

32 3.365 3.102 2.738 2.449 2.141 2.037 1.694 1.309 0.853

33 3.356 3.094 2.733 2.445 2.138 2.035 1.692 1.308 0.853

34 3.348 3.088 2.728 2.441 2.136 2.032 1.691 1.307 0.852

35 3.340 3.081 2.724 2.438 2.133 2.030 1.690 1.306 0.852

36 3.333 3.075 2.719 2.434 2.131 2.028 1.688 1.306 0.852

37 3.326 3.070 2.715 2.431 2.129 2.026 1.687 1.305 0.851

38 3.319 3.064 2.712 2.429 2.127 2.024 1.686 1.304 0.851

39 3.313 3.059 2.708 2.426 2.125 2.023 1.685 1.304 0.851


3/22

k0.001 0.002 0.005 0.010 0.020 0.025 0.05 0.1 0.2

40 3.307 3.055 2.704 2.423 2.123 2.021 1.684 1.303 0.851

41 3.301 3.050 2.701 2.421 2.121 2.020 1.683 1.030 0.850

42 3.296 3.046 2.698 2.418 2.120 2.018 1.682 1.302 0.850

43 3.291 3.042 2.695 2.416 2.118 2.017 1.681 1.302 0.850

44 3.286 3.038 2.692 2.414 2.116 2.015 1.680 1.301 0.850

45 3.281 3.034 2.690 2.412 2.115 2.014 1.679 1.301 0.850

46 2.277 3.030 2.687 2.410 2.114 2.013 1.679 1.300 0.850

47 3.273 3.027 2.685 2.408 2.112 2.012 1.678 1.300 0.849

48 3.269 3.024 2.682 2.407 2.111 2.011 1.677 1.299 0.849

49 3.265 3.021 2.680 2.405 2.110 2.010 1.677 1.299 0.849

50 3.261 3.018 2.687 2.403 2.109 2.009 1.676 1.299 0.849

51 3.258 3.015 2.676 2.402 2.108 2.008 1.675 1.298 0.849

52 3.255 3.012 2.674 2.400 2.107 2.007 1.675 1.298 0.849

53 3.251 3.009 2.672 2.399 2.106 2.006 1.674 1.298 0.848

54 3.248 3.007 2.670 2.397 2.105 2.005 1.674 1.297 0.848

55 3.245 3.005 2.668 2.396 2.104 2.004 1.673 1.297 0.848

56 3.242 3.002 2.667 2.395 2.103 2.003 1.673 1.297 0.84857 3.239 3.000 2.665 2.394 2.102 2.002 1.672 1.297 0.848

58 3.237 2.998 2.663 2.392 2.101 2.002 1.672 1.296 0.848

59 3.234 2.996 2.662 2.391 2.100 2.001 1.671 1.296 0.848

60 3.232 2.994 2.660 2.390 2.099 2.000 1.671 1.296 0.848

61 3.229 2.992 2.659 2.389 2.099 2.000 1.670 1.296 0.848


4/22

Phụ lục 2: Bảng giá trị tớ i hạn của phân phối F với α = 0.05

P(F > 2.534) = 0.05

Với n1 = 5, n2 = 30

n1

n21 2 3 4 5 6 7 8

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

18.513

10.128

7.709

6.608

5.987

5.591

5.318

5.117

4.965

4.844

4.747

4.667

4.600

4.543

4.494

4.451

4.414

4.381

19.000

9.552

6.944

5.786

5.143

4.737

4.459

4.256

4.103

3.982

3.885

3.806

3.739

3.682

3.634

3.592

3.555

3.522

19.164

9.277

6.591

5.409

4.757

4.347

4.066

3.863

3.708

3.587

3.490

3.411

3.344

3.287

3.239

3.197

3.160

3.127

19.247

9.117

6.388

5.192

4.534

4.120

3.838

3.633

3.478

3.357

3.259

3.179

3.112

3.056

3.007

2.965

2.928

2.895

19.296

9.013

6.256

5.050

4.387

3.972

3.687

3.482

3.326

3.204

3.106

3.025

2.958

2.901

2.852

2.810

2.773

2.740

19.330

8.941

6.163

4.950

4.284

3.866

3.581

3.374

3.217

3.095

2.996

2.915

2.848

2.790

2.741

2.699

2.661

2.628

19.353

8.887

6.094

4.876

4.207

3.787

3.500

3.293

3.135

3.012

2.913

2.832

2.764

2.707

2.657

2.614

2.577

2.544

19.371

8.845

6.041

4.818

4.147

3.726

3.438

3.230

3.072

2.948

2.849

2.767

2.699

2.641

2.591

2.548

2.510

2.477


5/22

n1

n21 2 3 4 5 6 7 8

20

21

22

23

24

25

26

27

28

29

30

4.351

4.325

4.301

4.279

4.260

4.242

4.225

4.210

4.196

4.183

4.171

3.493

3.467

3.443

3.422

3.403

3.385

3.369

3.354

3.340

3.328

3.316

3.098

3.072

3.049

3.028

3.009

2.991

2.975

2.960

2.947

2.934

2.922

2.866

2.840

2.817

2.796

2.776

2.759

2.743

2.728

2.714

2.701

2.690

2.711

2.685

2.661

2.640

2.621

2.603

2.587

2.572

2.558

2.545

2.534

2.599

2.573

2.549

2.528

2.508

2.490

2.474

2.459

2.445

2.432

2.421

2.514

2.488

2.464

2.442

2.423

2.405

2.388

2.373

2.359

2.346

2.334

2.447

2.420

2.397

2.375

2.355

2.337

2.321

2.305

2.291

2.278

2.266


6/22


(tiế p theo)

n1

n29 10 11 12 13 14 15 16

2

3

4

56

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

19.385

8.812

5.999

4.7724.099

3.677

3.388

3.179

3.020

2.896

2.796

2.714

2.646

2.588

2.538

2.494

2.456

2.423

2.393

2.366

2.342

2.320

19.396

8.786

5.964

4.7354.060

3.637

3.347

3.137

2.978

2.854

2.753

2.671

2.602

2.544

2.494

2.450

2.412

2.378

2.348

2.321

2.297

2.275

19.405

8.763

5.936

4.7044.027

3.603

3.313

3.102

2.943

2.818

2.717

2.635

2.565

2.507

2.456

2.413

2.374

2.340

2.310

2.283

2.259

2.236

19.413

8.745

5.912

4.6784.000

3.575

3.284

3.073

2.193

2.788

2.687

2.604

2.534

2.475

2.425

2.381

2.342

2.308

2.278

2.250

2.226

2.204

19.419

8.729

5.891

4.6553.976

3.550

3.259

3.048

2.887

2.761

2.660

2.577

2.507

2.448

2.397

2.353

2.314

2.280

2.250

2.222

2.198

2.175

19.424

8.715

5.873

4.6363.956

3.529

3.237

3.025

2.865

2.739

2.637

2.554

2.484

2.424

2.373

2.329

2.290

2.256

2.225

2.197

2.173

2.150

19.429

8.703

5.858

4.6193.938

3.511

3.218

3.006

2.845

2.719

2.617

2.533

2.463

2.403

2.352

2.308

2.269

2.234

2.203

2.176

2.151

2.128

19.433

8.692

5.844

4.6042.922

3.494

3.202

2.989

2.828

2.701

2.599

2.515

2.445

2.385

2.333

2.289

2.250

2.215

2.184

2.156

2.131

2.109


7/22

n1

n29 10 11 12 13 14 15 16

24

25

26

27

28

29

30

31

32

33

2.300

2.282

2.265

2.250

2.236

2.223

2.211

2.199

2.189

2.179

2.255

2.236

2.220

2.204

2.190

2.177

2.165

2.153

2.142

2.133

2.216

2.198

2.181

2.166

2.151

2.138

2.126

2.114

2.103

2.093

2.183

2.165

2.148

2.132

2.118

2.104

2.092

2.080

2.070

2.060

2.155

2.136

2.119

2.103

2.089

2.075

2.063

2.051

2.040

2.030

2.130

2.111

2.094

2.078

2.064

2.050

2.037

2.026

2.015

2.004

2.108

2.089

2.072

2.056

2.041

2.027

2.015

2.003

1.992

1.982

2.088

2.069

2.052

2.036

2.021

2.007

1.995

1.983

1.972

1.961


8/22


P(F > 3.699) = 0.01

Với n1 = 5, n2 = 30

n1

n2

1 2 3 4 5 6 7 8

2 98.503 99.000 99.166 99.249 99.299 99.333 99.356 99.374

3 34.116 30.817 29.457 28.71 28.237 27.911 27.672 27.489

4 21.198 18.000 16.694 15.977 15.522 15.207 14.976 14.799

5 16.258 13.274 12.060 11.392 10.967 10.672 10.456 10.289

6 13.745 10.925 9.780 9.148 8.746 8.466 8.260 8.102

7 12.246 9.547 8.451 7.847 7.460 7.191 6.993 6.840

8 11.259 8.649 7.591 7.006 6.632 6.371 6.178 6.029

9 10.561 8.022 6.992 6.422 6.057 5.802 5.613 5.467

10 10.044 7.559 6.552 5.994 5.636 5.386 5.200 5.057

11 9.646 7.206 6.217 5.668 5.316 5.069 4.886 4.744

12 9.330 6.927 5.953 5.412 5.064 4.821 4.640 4.499

13 9.074 6.701 5.739 5.205 4.862 4.620 4.441 4.302

14 8.862 6.515 5.564 5.035 4.695 4.456 4.278 4.140

15 8.683 6.359 5.417 4.893 4.556 4.318 4.142 4.004

16 8.531 6.226 5.292 4.773 4.437 4.202 4.026 3.890


9/22

n1

n21 2 3 4 5 6 7 8

17 8.400 6.112 5.185 4.669 4.336 4.102 3.927 3.791

18 8.285 6.013 5.092 4.579 4.248 4.015 3.841 3.705

19 8.185 5.926 5.010 4.500 4.171 3.939 3.765 3.631

20 8.096 5.849 4.938 4.431 4.103 3.871 3.699 3.564

21 8.017 5.780 4.874 4.369 4.042 3.812 3.640 3.506

22 7.945 5.719 4.817 4.313 3.988 3.758 3.587 3.453

23 7.881 5.664 4.765 4.264 3.939 3.710 3.539 3.406

24 7.823 5.614 4.718 4.218 3.895 3.667 3.496 3.363

25 7.770 5.568 4.675 4.177 3.855 3.627 3.457 3.324

26 7.721 5.526 4.637 4.140 3.818 3.591 3.421 3.288

27 7.677 5.488 4.601 4.106 3.785 3.558 3.388 3.256

28 7.636 5.453 4.568 4.074 3.754 3.528 3.358 3.226

29 7.598 5.420 4.538 4.045 3.725 3.499 3.330 3.198

30 7.562 5.390 4.510 4.018 3.699 3.473 3.304 3.173


10/22

Phụ lục 2: Bảng giá trị tớ i hạn của phân phối F vớ i = 0.01

(tiếp theo)

n1

n29 10 11 12 13 14 15 16

2 99,388 99,399 99,408 99,416 99,422 99,428 99,433 99,437

3 27,345 27,229 27,133 27,052 26,983 26,924 26,872 26,827

4 14,659 14,546 14,452 14,374 14,307 14,249 14,198 14,154

5 10,158 10,051 9,963 9,888 9,825 9,770 9,722 9,680

6 7,976 7,874 7,790 7,718 7,657 7,605 7,559 7,519

7 6,719 6,620 6,538 6,469 6,410 6,359 6,314 6,275

8 5,911 5,814 5,734 5,667 5,609 5,559 5,515 5,477

9 5,351 5,257 5,178 5,111 5,055 5,005 4,962 4,924

10 4,942 4,849 4,772 4,706 4,650 4,601 4,558 4,520

11 4,632 4,539 4,462 4,397 4,342 4,293 4,251 4,213

12 4,388 4,296 4,220 4,155 4,100 4,052 4,010 3,972

13 4,191 4,100 4,025 3,960 3,905 3,857 3,815 3,778

14 4,030 3,939 3,864 3,800 3,745 3,698 3,656 3,619

15 3,895 3,805 3,730 3,666 3,612 3,564 3,522 3,485

16 3,780 3,691 3,616 3,553 3,498 8,531 8,531 3,372

17 3,682 3,593 3,519 3,455 3,401 3,353 3,312 3,275

18 3,597 3,508 3,434 3,371 3,316 3,269 3,227 3,190

19 3,523 3,434 3,360 3,297 3,242 3,195 3,153 3,116

20 3,457 3,368 3,294 3,231 3,177 3,130 3,088 3,051


11/22

n1

n29 10 11 12 13 14 15 16

21 3,398 3,310 3,236 3,173 3,119 3,072 3,030 2,993

22 3,346 3,258 3,184 3,121 3,067 3,019 2,978 2,941

23 3,299 3,211 3,137 3,074 3,020 2,973 2,931 2,894

24 3,256 3,168 3,094 3,032 2,977 2,930 2,889 2,852

25 3,217 3,129 3,056 2,993 2,939 2,892 2,850 2,813

26 3,182 3,094 3,021 2,958 2,904 2,857 2,815 2,778

27 3,149 3,062 2,988 2,926 2,871 2,824 2,783 2,746

28 3,120 3,032 2,959 2,896 2,842 2,795 3,754 2,716

29 3,092 3,005 2,931 2,868 2,814 2,767 2,726 2,689

30 3,067 2,979 2,906 2,843 2,789 2,742 2,700 2,663

31 3,043 2,955 2,882 2,820 2,765 2,718 2,677 2,640

32 3,021 2,934 2,860 2,798 2,744 2,696 2,655 2,618

33 3,000 2,913 2,840 2,777 2,723 2,676 2,634 2,597


12/22

Phục lục 3: Bảng giá trị tớ i hạn của phân phối Chi-square

05.0)7730.43( 2 P

05.0)4927.18( 2 P

Với k = 30

α

k0.01 0.99 0.025 0.975 0.05 0.95

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

6.6349

9.2103

11.3449

13.2767

15.0863

16.8119

18.4753

20.0902

21.6660

23.2093

24.7250

26.2170

27.6882

29.1412

30.5779

31.9999

0.0002

0.0201

0.1148

0.2971

0.5543

0.8721

1.2390

1.6465

2.0879

2.5582

3.0535

3.5706

4.1069

4.6604

5.2293

5.8122

5.0239

7.3778

9.3484

11.1433

12.8325

14.4494

16.0128

17.5345

19.0228

20.4832

21.9200

23.3367

24.7356

26.1189

27.4884

28.8454

0.0010

0.0506

0.2158

0.4844

0.8312

1.2373

1.6899

2.1797

2.7004

3.2470

3.8157

4.4038

5.0088

5.6287

6.2621

6.9077

3.8415

5.9915

7.8147

9.4877

11.0705

12.5916

14.0671

15.5073

16.9190

18.3070

19.6751

21.0261

22.3620

23.6848

24.9958

26.2962

0.0039

0.1026

0.3518

0.7107

1.1455

1.6354

2.1673

2.7326

3.3251

3.9403

4.5748

5.2260

5.8919

6.5706

7.2609

7.9616


13/22

α

k0.01 0.99 0.025 0.975 0.05 0.95

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

3334

35

36

37

38

39

40

33.4087

34.8053

36.1909

37.5662

38.9322

40.2894

41.6384

42.9798

44.3141

45.6417

46.9629

48.2782

49.5879

50.8922

52.1914

53.4858

54.775556.0609

57.3421

58.6192

59.8925

61.1621

62.4281

63.6907

6.4078

7.0149

7.6327

8.2604

8.8972

9.5425

10.1957

10.8564

11.5240

12.1981

12.8785

13.5647

14.2565

14.9535

15.6555

16.3622

17.073517.7891

18.5089

19.2327

19.9602

20.6914

21.4262

22.1643

30.1910

31.5264

32.8523

34.1696

35.4789

36.7807

38.0756

39.3641

40.6465

41.9232

43.1945

44.4608

45.7223

46.9792

48.2319

49.4804

50.725151.9660

53.2033

54.4373

55.6680

56.8955

58.1201

59.3417

7.5642

8.2307

8.9065

9.5908

10.2829

10.9823

11.6886

12.4012

13.1197

13.8439

14.5734

15.3079

16.0471

16.7908

17.5387

18.2908

19.046719.8063

20.5694

21.3359

22.1056

22.8785

23.6543

24.4330

27.5871

28.8693

30.1435

31.4104

32.6706

33.9244

35.1725

36.4150

37.6525

38.8851

40.1133

41.3371

42.5570

43.7730

44.9853

46.1943

47.399948.6024

49.8018

50.9985

52.1923

53.3835

54.5722

55.7585

8.6718

9.3905

10.1170

10.8508

11.5913

12.3380

13.0905

13.8484

14.6114

15.3792

16.1514

16.9279

17.7084

18.4927

19.2806

20.0719

20.866521.6643

22.4650

23.2686

24.0749

24.8839

25.6954

26.5093


14/22

α

k0.01 0.99 0.025 0.975 0.05 0.95

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

5758

59

60

64.9501

66.2062

67.4593

68.7095

69.9568

71.2014

72.4433

73.6826

74.9195

76.1539

77.3860

78.6158

79.8433

81.0688

82.2921

83.5134

84.732885.9502

87.1657

88.3794

22.9056

23.6501

24.3976

25.1480

25.9013

26.6572

27.4158

28.1770

28.9406

29.7067

30.4750

31.2457

32.0185

32.7934

33.5705

34.3495

35.130535.9135

36.6982

37.4849

60.5606

61.7768

62.9904

64.2015

65.4102

66.6165

67.8206

69.0226

70.2224

71.4202

72.6160

73.8099

75.0019

76.1920

77.3805

78.5672

79.752280.9356

82.1174

83.2977

25.2145

25.9987

26.7854

27.5746

28.3662

29.1601

29.9562

30.7545

31.5549

32.3574

33.1618

33.9681

34.7763

35.5863

36.3981

37.2116

38.026738.8435

39.6619

40.4817

56.9424

58.1240

59.3035

60.4809

61.6562

62.8296

64.0011

65.1708

66.3386

67.5048

68.6693

69.8322

70.9935

72.1532

73.3115

74.4683

75.623776.7778

77.9305

79.0819

27.3256

28.1440

28.9647

29.7875

30.6123

31.4390

32.2676

33.0981

33.9303

34.7643

35.5999

36.4371

37.2759

38.1162

38.9580

39.8013

40.645941.4920

42.3393

43.1880


15/22

Phụ lục 4: Bảng giá trị thô ́ ng kê d ( Durbin – Watson ) vơ ́ i

α = 0.05

Vơ ́ i: n la ̀ cơ ̃mâ ũ

k’ la ̀ số biến đô c̣ lâ ̣ p trong mô h ǹh

Th dụ: n = 12, k’ = 2 th dL= 0.812, dU = 1.579

k’=1 k’=2 k’=3 k’=4 k’=5

n dL dU dL dU dL dU dL dU dL dU

6

7

8

9

10

11

1213

14

15

16

17

18

19

20

21

22

23

24

25

26

0.610

0.700

0.763

0.824

0.879

0.927

0.9711.010

1.045

1.077

1.106

1.133

1.158

1.180

1.201

1.221

1.239

1.257

1.273

1.288

1.302

1.400

1.356

1.332

1.320

1.320

1.324

1.3311.340

1.350

1.361

1.371

1.381

1.391

1.401

1.411

1.420

1.429

1.437

1.446

1.454

1.461

0.467

0.559

0.629

0.697

0.658

0.8120.861

0.905

0.946

0.982

1.015

1.046

1.074

1.100

1.125

1.147

1.168

1.188

1.206

1.224

1.896

1.777

1.699

1.641

1.604

1.5791.562

1.551

1.543

1.539

1.536

1.535

1.536

1.537

1.535

1.541

1.543

1.546

1.550

1.553

0.368

0.455

0.525

0.595

0.6580.715

0.767

0.814

0.857

0.897

0.933

0.967

0.998

1.026

1.053

1.078

1.101

1.123

1.143

2.287

2.128

2.016

1.928

1.8641.816

1.779

1.750

1.728

1.710

1.696

1.685

1.676

1.669

1.664

1.660

1.656

1.654

1.652

0.296

0.376

0.444

0.5120.574

0.632

0.685

0.734

0.779

0.820

0.859

0.894

0.927

0.958

0.986

1.013

1.038

1.062

2.588

2.414

2.283

2.1772.094

2.030

1.977

1.935

1.900

1.872

1.848

1.828

1.812

1.797

1.785

1.775

1.767

1.759

0.243

0.316

0.3790.445

0.505

0.562

0.615

0.664

0.710

0.752

0.792

0.829

0.863

0.895

0.925

0.953

0.979

2.822

2.645

2.5062.390

2.296

2.220

2.157

2.104

2.060

2.023

1.991

1.964

1.940

1.920

1.902

1.886

1.873


16/22

27

28

29

30

31

32

33

34

3536

37

38

39

40

4550

55

60

65

70

75

80

85

90

95

100

150

200

1.316

1.328

1.341

1.352

1.363

1.373

1.383

1.393

1.4021.411

1.419

1.427

1.435

1.442

1.4751.503

1.528

1.549

1.567

1.583

1.598

1.611

1.624

1.635

1.645

1.654

1.720

1.758

1.469

1.476

1.483

1.489

1.496

1.502

1.508

1.514

1.5191.525

1.530

1.535

1.540

1.544

1.5661.585

1.601

1.616

1.629

1.641

1.652

1.662

1.671

1.679

1.687

1.694

1.746

1.778

1.240

1.255

1.270

1.284

1.297

1.309

1.321

1.333

1.3431.354

1.364

1.373

1.382

1.391

1.4301.462

1.490

1.514

1.536

1.554

1.571

1.586

1.600

1.612

1.623

1.634

1.706

1.748

1.556

1.560

1.563

1.567

1.570

1.574

1.577

1.580

1.5841.587

1.590

1.594

1.597

1.600

1.6151.628

1.641

1.652

1.662

1.672

1.680

1.688

1.696

1.703

1.709

1.715

1.760

1.789

1.162

1.181

1.198

1.214

1.229

1.244

1.258

1.271

1.2831.295

1.307

1.318

1.328

1.338

1.3831.421

1.452

1.480

1.503

1.525

1.543

1.560

1.575

1.589

1.602

1.613

1.693

1.738

1.651

1.650

1.650

1.650

1.650

1.650

1.651

1.652

1.6531.654

1.655

1.656

1.658

1.659

1.6661.674

1.681

1.689

1.696

1.703

1.709

1.715

1.721

1.726

1.732

1.736

1.774

1.799

1.084

1.104

1.124

1.143

1.160

1.177

1.193

1.208

1.2221.236

1.249

1.261

1.273

1.285

1.3361.378

1.414

1.444

1.471

1.494

1.515

1.534

1.550

1.566

1.579

1.592

1.679

1.728

1.753

1.747

1.743

1.739

1.735

1.732

1.730

1.728

1.7261.724

1.723

1.722

1.722

1.721

1.7201.721

1.724

1.727

1.731

1.735

1.739

1.743

1.747

1.751

1.755

1.758

1.788

1.810

1.004

1.028

1.050

1.071

1.090

1.109

1.127

1.144

1.1601.175

1.190

1.204

1.218

1.230

1.2871.335

1.374

1.408

1.438

1.464

1.487

1.507

1.525

1.542

1.557

1.571

1.665

1.718

1.861

1.850

1.841

1.833

1.825

1.819

1.813

1.808

1.8031.799

1.795

1.792

1.789

1.786

1.7761.771

1.768

1.767

1.767

1.768

1.770

1.772

1.774

1.776

1.778

1.780

1.802

1.820


17/22

Phục lục 4: Bảng giá trị thống kê d (Durbin-Watson) vớ i

α = 0.05 (ti ế p theo)

k’ = 6 k’ = 7 k’ = 8 k’ = 9 k’ = 10

N d L d U d L d U d L d U d L d U d L d U

6

7

8

9

10

11

12

13

14

15

1617

18

19

20

21

22

23

24

25

26

27

28

29

30

0.203

0.268

0.328

0.389

0.447

0.5020.554

0.603

0.649

0.692

0.732

0.769

0.804

0.837

0.868

0.897

0.925

0.951

0.975

0.998

3.005

2.832

2.692

2.572

2.472

2.3882.318

2.257

2.206

2.162

2.124

2.090

2.061

2.035

2.012

1.992

1.974

1.958

1.944

1.931

0.171

0.230

0.286

0.343

0.3980.451

0.502

0.549

0.595

0.637

0.677

0.715

0.751

0.784

0.816

0.845

0.874

0.900

0.926

3.149

2.985

2.848

2.727

2.6242.537

2.461

2.396

2.339

2.290

2.246

2.208

2.174

2.144

2.117

2.093

2.071

2.052

2.034

0.147

0.200

0.251

0.3040.356

0.407

0.456

0.502

0.547

0.588

0.628

0.666

0.702

0.735

0.767

0.798

0.826

0.854

3.266

3.111

2.979

2.8602.757

2.667

2.589

2.521

2.460

2.407

2.360

2.318

2.280

2.246

2.216

2.188

2.164

2.141

0.127

0.175

0.2220.272

0.321

0.369

0.416

0.461

0.504

0.545

0.584

0.621

0.657

0.691

0.723

0.753

0.782

3.360

3.216

3.0902.975

2.873

2.783

2.704

2.633

2.571

2.514

2.464

2.419

2.379

2.342

2.309

2.278

2.251

0.111

0.1550.198

0.244

0.290

0.336

0.380

0.424

0.465

0.506

0.544

0.581

0.616

0.650

0.682

0.712

3.438

3.3043.184

3.073

2.974

2.885

2.806

2.734

2.670

2.613

2.560

2.513

2.470

2.431

2.396

2.363


18/22

k’ = 6 k’ = 7 k’ = 8 k’ = 9 k’ = 10

N d L d U d L d U d L d U d L d U d L d U

31

32

33

34

35

36

37

38

39

40

45

50

55

60

65

70

75

80

85

90

95

100

150

200

1.020

1.041

1.061

1.080

1.097

1.114

1.131

1.146

1.161

1.175

1.238

1.291

1.334

1.372

1.404

1.433

1.458

1.480

1.500

1.518

1.535

1.550

1.651

1.707

1.920

1.909

1.900

1.891

1.884

1.877

1.870

1.864

1.859

1.854

1.835

1.822

1.814

1.808

1.805

1.802

1.801

1.801

1.801

1.801

1.802

1.803

1.817

1.831

0.950

0.972

0.994

1.015

1.034

1.053

1.071

1.088

1.104

1.120

1.189

1.246

1.294

1.335

1.370

1.401

1.428

1.453

1.474

1.494

1.512

1.528

1.637

1.697

2.018

2.004

1.991

1.979

1.967

1.957

1.948

1.939

1.932

1.924

1.895

1.875

1.861

1.850

1.843

1.837

1.834

1.831

1.829

1.827

1.827

1.826

1.832

1.841

0.879

0.904

0.927

0.950

0.971

0.991

1.011

1.029

1.047

1.064

1.139

1.201

1.253

1.298

1.336

1.369

1.399

1.425

1.448

1.469

1.489

1.506

1.622

1.686

2.120

2.102

2.085

2.069

2.054

2.041

2.029

2.017

2.007

1.997

1.958

1.930

1.909

1.894

1.882

1.873

1.867

1.861

1.857

1.854

1.852

1.850

1.847

1.852

0.810

0.836

0.861

0.885

0.908

0.930

0.951

0.970

0.990

1.008

1.089

1.156

1.212

1.260

1.301

1.337

1.369

1.397

1.422

1.445

1.465

1.484

1.608

1.675

2.226

2.203

2.181

2.162

2.144

2.127

2.112

2.098

2.085

2.072

2.022

1.986

1.959

1.939

1.923

1.910

1.901

1.893

1.886

1.881

1.877

1.874

1.862

1.863

0.741

0.769

0.795

0.821

0.845

0.868

0.891

0.912

0.932

0.952

1.038

1.110

1.170

1.222

1.266

1.305

1.339

1.369

1.396

1.420

1.442

1.462

1.594

1.665

2.333

2.306

2.281

2.257

2.236

2.216

2.198

2.180

2.164

2.149

2.088

2.044

2.010

1.984

1.964

1.948

1.935

1.925

1.916

1.909

1.903

1.898

1.877

1.874


19/22

Phụ lục 4: Bảng giá trị thống kê d (Durbin – Watson) vớ i

α = 0.05 (tiếp theo)

k’ = 11 k’ = 12 k’ = 13 k’ = 14 k’ = 15

N dL dU dL dU dL dU dL dU dL dU

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

0.098

0.138

0.177

0.220

0.263

0.307

0.349

0.391

0.431

0.470

0.508

0.544

0.578

0.612

0.643

0.674

0.703

0.731

0.758

0.783

0.808

0.831

3.503

3.378

3.265

3.159

3.063

2.976

2.897

2.826

2.761

2.702

2.649

2.600

2.555

2.515

2.477

2.443

2.411

2.382

2.355

2.330

2.306

2.285

0.087

0.123

0.160

0.200

0.240

0.281

0.322

0.362

0.400

0.438

0.475

0.510

0.544

0.577

0.608

0.638

0.668

0.695

0.722

0.748

0.772

3.557

3.441

3.335

3.234

3.141

3.057

2.979

2.908

2.844

2.784

2.730

2.680

2.634

2.592

2.553

2.517

2.484

2.454

2.425

2.398

2.374

0.078

0.111

0.145

0.182

0.220

0.259

0.297

0.335

0.373

0.409

0.445

0.479

0.512

0.545

0.576

0.606

0.634

0.662

0.689

0.714

3.603

3.496

3.395

3.300

3.211

3.128

3.053

3.983

2.919

2.859

2.805

2.755

2.708

2.665

2.625

2.588

2.554

2.521

2.492

2.464

0.070

0.100

0.132

0.166

0.202

0.239

0.275

0.312

0.348

0.383

0.418

0.451

0.484

0.515

0.546

0.575

0.604

0.631

0.657

3.642

3.542

3.448

3.358

3.272

3.193

3.119

3.051

2.987

2.928

2.874

2.823

2.776

2.733

2.692

2.654

2.619

2.586

2.555

0.063

0.091

0.120

0.153

0.186

0.221

0.256

0.291

0.325

0.359

0.392

0.425

0.457

0.488

0.518

0.547

0.575

0.602

3.676

3.583

3.495

3.409

3.327

3.251

3.179

3.112

3.050

2.992

2.937

2.887

2.840

2.796

2.754

2.716

2.680

2.646


20/22

k’ = 11 k’ = 12 k’ = 13 k’ = 14 k’ = 15


38

39

40

45

50

55

60

65

70

75

80

85

90

95

100

150

200

0.854

0.875

0.896

0.988

1.064

1.129

1.184

1.231

1.272

1.308

1.340

1.369

1.395

1.418

1.439

1.579

1.654

2.265

2.246

2.228

2.156

2.103

2.062

2.031

2.006

1.986

1.970

1.957

1.946

1.937

1.929

1.923

1.892

1.885

0.796

0.819

0.840

0.938

1.019

1.087

1.145

1.195

1.239

1.277

1.311

1.342

1.369

1.394

1.416

1.564

1.643

2.351

2.329

2.309

2.225

2.163

2.116

2.079

2.049

2.026

2.006

1.991

1.977

1.966

1.956

1.948

1.908

1.896

0.739

0.763

0.785

0.887

0.973

1.045

1.106

1.160

1.206

1.247

1.283

1.315

1.344

1.370

1.393

1.550

1.632

2.438

2.413

2.391

2.296

2.225

2.170

2.127

2.093

2.066

2.043

2.024

2.009

1.995

1.984

1.974

1.924

1.908

0.683

0.707

0.731

0.838

0.927

1.003

1.068

1.124

1.172

1.215

1.253

1.287

1.318

1.345

1.371

1.535

1.621

2.526

2.499

2.473

2.367

2.287

2.225

2.177

2.138

2.106

2.080

2.059

2.040

2.025

2.012

2.000

1.940

1.919

0.628

0.653

0.678

0.788

0.882

0.961

1.029

1.088

1.139

1.184

1.224

1.260

1.292

1.321

1.347

1.519

1.610

2.614

2.585

2.557

2.439

2.350

2.281

2.227

2.183

2.148

2.118

2.093

2.073

2.055

2.040

2.026

1.956

1.931


21/22

Phụ lục 4: Bảng giá trị thống kê d (Durbin – Watson) vớ i

α = 0.05 (tiếp theo)

k’ = 16 k’ = 17 k’ = 18 k’ = 19 k’ = 20


16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

0.058

0.083

0.110

0.141

0.172

0.205

0.238

0.271

0.305

0.337

0.370

0.401

0.432

0.462

0.492

0.520

0.548

3.705

3.619

3.535

3.454

3.376

3.303

3.233

3.168

3.107

3.050

2.996

2.946

2.899

2.854

2.813

2.774

2.738

0.052

0.076

0.101

0.130

0.160

0.191

0.222

0.254

0.286

0.317

0.349

0.379

0.409

0.439

0.467

0.495

3.731

3.650

3.572

3.494

3.420

3.349

3.283

3.219

3.160

3.103

3.050

3.000

2.954

2.910

2.868

2.829

0.048

0.070

0.094

0.120

0.149

0.178

0.208

0.238

0.269

0.299

0.329

0.359

0.388

0.417

0.445

3.753

3.678

3.604

3.531

3.460

3.392

3.327

3.266

3.208

3.153

3.100

3.051

3.005

2.961

2.920

0.044

0.065

0.087

0.112

0.138

0.166

0.195

0.224

0.253

0.283

0.312

0.340

0.369

0.397

3.773

3.702

3.632

3.563

3.495

3.431

3.368

3.309

3.252

3.198

3.147

3.099

3.053

3.009

0.041

0.060

0.081

0.104

0.129

0.156

0.183

0.211

0.239

0.267

0.295

0.323

0.351

3.790

3.724

3.658

3.592

3.528

3.465

3.406

3.348

3.293

3.240

3.190

3.142

3.097


22/22

k’ = 16 k’ = 17 k’ = 18 k’ = 19 k’ = 20


38

39

40

45

50

55

60

65

70

75

80

85

90

95

100

150

200

0.575

0.600

0.626

0.740

0.836

0.919

0.990

1.052

1.105

1.153

1.195

1.232

1.266

1.296

1.324

1.504

1.599

2.703

2.671

2.641

2.512

2.414

2.338

2.278

2.278

2.189

2.156

2.129

2.105

2.085

2.068

2.053

1.972

1.943

0.522

0.549

0.575

0.692

0.792

0.877

0.951

1.016

1.072

1.121

1.165

1.205

1.240

1.271

1.301

1.489

1.588

2.792

2.757

2.724

2.586

2.479

2.396

2.330

2.276

2.232

2.195

2.165

2.139

2.116

2.097

2.080

1.989

1.955

0.472

0.499

0.525

0.644

0.747

0.836

0.913

0.980

1.038

1.090

1.136

1.177

1.213

1.247

1.277

1.474

1.576

2.880

2.843

2.808

2.659

2.544

2.454

2.382

2.323

2.275

2.235

2.201

2.172

2.148

2.126

2.108

2.006

1.967

0.424

0.451

0.477

0.598

0.703

0.795

0.874

0.944

1.005

1.058

1.106

1.149

1.187

1.222

1.253

1.458

1.565

2.968

2.929

2.892

2.733

2.610

2.512

2.434

2.371

2.318

2.275

2.238

2.206

2.179

2.156

2.135

2.023

1.979

0.378

0.404

0.430

0.553

0.660

0.754

0.836

0.908

0.971

1.027

1.076

1.121

1.160

1.197

1.229

1.443

1.554

3.054

3.013

2.974

2.807

2.675

2.571

2.487

2.419

2.362

2.315

2.275

2.241

2.211

2.186

2.164

2.040

1.991

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