TABELE

Valorile z corespunzatoare unei curbe normale

Z

unilateral

bilateral

Z

unilateral

bilateral
 

Sub curba

Rest

Sub curba

Rest

  

Sub curba

Rest

Sub curba

Rest

0.00

.5000

.5000

1

.0000

1.17

.1210

.8790

.2420

.7580

0.01

.4960

.5040

.9920

.0080

1.18

.1190

.8810

.2380

.7620

0.02

.4920

.5080

.9840

.0160

1.19

.1170

.8830

.2340

.7660

0.03

.4880

.5120

.9761

.0239

1.20

.1151

.8049

.2301

.7699

0.04

.4840

.5160

.9681

.0319

1.21

.1131

.8869

.2263

.7737

0.05

.4801

.5199

.9601

.0399

1.22

.1112

.8888

.2225

.7775

0.06

.4761

.5239

.9522

.0478

1.23

.1093

.8907

.2187

.7813

0.07

.4721

.5279

.9442

.0558

1.24

.1075

.8925

.2150

.7850

0.08

.4681

.5319

.9362

.0638

1.25

.1056

.8944

.2113

.7887

0.09

.4641

.5359

.9283

.0717

1.26

.1038

.8962

.2077

.7923

0.10

.4602

.5398

.9203

.0797

1.27

.1020

.8980

.2041

.7959

0.11

.4562

.5438

.9124

.0876

1.28

.1003

.8997

.2005

.7995

0.12

.4522

.5478

.9045

.0955

1.29

.0985

.9015

.1971

.8029

0.13

.4483

.5517

.8966

.1034

1.30

.0968

.9032

.1936

.8064

0.14

.4443

.5557

.8887

.1113

1.31

.0951

.9049

.1902

.8098

0.15

.4404

.5596

.8808

.1192

1.32

.0934

.9066

.1868

.8132

0.16

.4364

.5636

.8729

.1271

1.33

.0918

.9082

.1835

.8165

0.17

.4325

.5675

.8650

.1350

1.34

.0901

.9099

.1802

.8198

0.18

.4286

.5714

.8571

.1429

1.35

.0885

.9115

.1770

.8230

0.19

.4247

.5753

.8493

.1507

1.36

.0869

.9131

.1738

.8262

0.20

.4207

.5793

.8415

.1585

1.37

.0853

.9147

.1707

.8293

0.21

.4168

.5832

.8337

.1663

1.38

.0838

.9162

.1676

.8324

0.22

.4129

.5871

.8259

.1741

1.39

.0823

.9177

.1645

.8355

0.23

.4090

.5910

.8181

.1819

1.40

.0808

.9192

.1615

.8385

0.24

.4052

.5948

.8103

.1897

1.41

.0793

.9207

.1585

.8415

0.25

.4013

.5987

.8026

.1974

1.42

.0778

.9222

.1556

.8444

0.26

.3974

.6026

.7949

.2051

1.43

.0764

.9236

.1527

.8473

0.27

.3936

.6064

.7872

.2128

1.44

.0749

.9251

.1499

.8501

0.28

.3897

.6103

.7795

.2205

1.45

.0735

.9265

.1471

.8529

0.29

.3859

.6141

.7718

.2282

1.46

.0721

.9279

.1443

.8567

0.30

.3821

.6179

.7642

.2358

1.47

.0708

.9292

.1416

.8584

0.31

.3783

.6217

.7566

.2434

1.48

.0694

.9306

.1389

.8611

0.32

.3745

.6255

.7490

.2510

1.49

.0681

.9319

.1362

.8638

0.33

.3707

.6293

.7414

.2586

1.50

.0668

.9332

.1336

.8664

0.34

.3669

.6331

.7339

.2661

1.51

.0655

.9345

.1310

.8690

0.35

.3632

.6368

.7263

.2737

1.52

.0643

.9357

.1285

.8715

0.36

.3594

.6406

.7188

.2812

1.53

.0630

.9370

.1260

.8740

0.37

.3557

.6443

.7114

.2886

1.54

.0618

.9382

.1236

.8764

0.38

.3520

.6480

.7039

.2961

1.55

.0606

.9394

.1211

.8789

0.39

.3483

.6517

.6965

.3035

1.56

.0594

.9406

.1188

.8812

0.40

.3446

.6554

.6892

.3108

1.57

.0582

.9418

.1164

.8836

0.41

.3409

.6591

.6818

.3182

1.58

.0571

.9429

.1141

.8859

0.42

.3372

.6628

.6745

.3255

1.59

.0559

.9441

.1118

.8882

0.43

.3336

.6664

.6672

.3328

1.60

.0548

9452

.1096

.8904

0.44

.3300

.6700

.6599

.3401

1.61

.0537

.9463

.1074

.8926

0.45

.3264

.6736

.6527

.3473

1.62

.0526

.9474

.1052

.8948

0.46

.3228

.6772

.6455

.3545

1.63

.0516

.9484

.1031

.8969

0.47

.3192

.6808

.6384

.3616

1.64

.0505

.9495

.1010

.8990

0.48

.3156

.6844

.6312

.3688

1.65

.0495

.9505

.0989

.9011

0.49

.3121

.6879

.6241

.3759

1.66

.0485

.9515

.0969

.9031

0.50

.3085

.6915

.6171

.3829

1.67

.0475

.9525

.0949

.9051

0.51

.3050

.6950

.6101

.3899

1.68

.0465

.9535

.0930

.9070

0.52

.3015

.8985

.6031

.3969

1.69

.0455

.9545

.0910

.9090

0.53

.2981

.7019

.5961

.4039

1.70

.0446

.9554

.0891

.9109

0.54

.2946

.7054

.5892

.4108

1.71

.0436

.9564

.0873

.9127

0.55

.2912

.7088

.5823

.4177

1.72

.0427

.9573

.0854

.9146

0.56

.2877

.7123

.5755

.4245

1.73

.0418

.9582

.0836

.9164

0.57

.2843

.7157

.5687

.4313

1.74

.0409

.9591

.0919

.9181

0.58

.2810

.7190

.5619

.4381

1.75

.0401

.9599

.0801

.9199

0.59

.2776

.7224

.5552

.4448

1.76

.0392

.9608

.0784

.9216

0.60

.2743

.7257

.5485

.4515

1.77

.0384

.9616

.0767

.9233

0.61

.2709

.7291

.5419

.4581

1.78

.0375

.9625

.0751

.9249

0.62

.2676

.7324

.5353

.4647

1.79

.0367

.9633

.0734

.9266

0.63

.2643

.7357

.5287

.4713

1.80

.0359

.9641

.0719

.9281

0.64

.2611

.7389

.5222

.4778

1.81

.0352

.9649

.0703

.9297

0.65

.2578

.7422

.5157

.4843

1.82

.0344

.9656

.0688

.9312

0.66

.2546

.7454

.5093

.4907

1.83

.0336

.9664

.0672

.9328

0.67

.2514

.7517

.5029

.4971

1.84

.0329

.9671

.0658

.9342

0.68

.2483

.7517

.4965

.5035

1.85

.0322

.9678

.0643

.9357

0.69

.2451

.7549

.4902

.5098

1.86

.0314

.9686

.0629

.9371

0.70

.2420

.7580

.4839

.5161

1.87

.0307

.9693

.0615

.9385

0.71

.2389

.7611

.4777

.5223

1.88

.0301

.9699

.0601

.9399

0.72

.2358

.7642

.4715

.5285

1.89

.0294

.9706

.0588

.9412

0.73

.2327

.7673

.4654

.5346

1.90

.0287

.9713

.0574

.9426

0.74

.2296

.7704

.4593

.5407

1.91

.0281

.9719

.0561

.9439

0.75

.2266

.7734

.4533

.5467

1.92

.0274

.9726

.0549

.9451

0.76

.2236

.7764

.4473

.5527

1.93

.0268

.9732

.0536

.9564

0.77

.2206

.7794

.4413

.5587

1.94

.0262

.9738

.0524

.9476

0.78

.2177

.7823

.4354

.5646

1.95

.0256

.9744

.0512

.9488

0.79

.2148

.7852

.4295

.5705

1.96

.0250

.9750

.05

.9500

0.80

.2119

.7881

.4237

.5763

1.97

.0244

.9756

.0488

.9512

0.81

.2090

.7910

.4179

.5821

1.98

.0239

.9761

.0477

.9523

0.82

.2061

.7939

.4122

.5878

1.99

.0233

.9767

.0466

.9534

0.83

.2033

.7967

.4065

.5935

2.00

.0228

.9772

.0455

.9545

0.84

.2005

.7995

.4009

.5991

2.05

.0202

.9798

.0404

.9596

0.85

.1997

.8023

.3953

.6064

2.10

.0179

.9821

.0357

.9643

0.86

.1949

.8051

.3898

.6102

2.15

.0158

.9842

.0316

.9684

0.87

.1922

.8078

.3843

.6157

2.20

.0139

.9661

.0278

.9722

0.88

.1894

.8106

.3789

.6211

2.25

.0122

.9878

.0244

.9756

0.89

.1867

.8133

.3735

.6265

2.30

.0107

.9893

.0214

.9786

0.90

.1841

.8159

.3681

.6319

2.35

.0094

.9906

.0188

.9812

0.91

.1814

.8186

.3628

.6372

2.40

.0082

.9918

.0164

.9836

0.92

.1788

.8212

.3576

.6424

2.45

.0071

.9929

.0143

.9857

0.93

.1762

.8238

.3524

.6476

2.50

.0062

.9938

.0124

.9876

0.94

.1736

.8264

.3472

.6528

2.55

.0054

.9946

.0108

.9892

0.95

.1711

.8289

.3421

.6579

2.58

.0049

.9951

.0099

.9901

0.96

.1685

.8315

.3371

.6629

2.65

.0040

.9960

.0088

.9912

0.97

.1660

.8340

.3320

.6680

2.70

.0035

.9965

.0069

.9931

0.98

.1635

.8365

.3271

.6729

2.75

.0030

.9970

.0060

.9940

0.99

.1611

.8389

.3271

.6729

2.80

.0026

.9974

.0051

.9949

1.00

.1587

.8413

.3173

.6827

2.85

.0022

.9978

.0044

.9956

1.01

.1562

.8438

.3125

.6875

2.90

.0019

.9981

.0037

.9963

1.02

.1539

.8461

.3077

.6923

2.95

.0016

.9984

.0032

.9968

1.03

.1515

.8485

.3030

.6970

3.00

.0013

.9987

.0027

.9973

1.04

.1492

.8508

.2983

.7017

3.05

.0011

.9989

.0023

.9977

1.05

.1469

.8531

.2937

.7063

3.10

.001

.9900

.0019

.9981

1.06

.1446

.8554

.2891

.7109

3.15

.0008

.9992

.0016

.9984

1.07

.1423

.8577

.2846

.7154

3.20

.0007

.9993

.0014

.9986

1.08

.1401

.8599

.2801

.7199

3.25

.0006

.9994

.0012

.9988

1.09

.1379

.8621

.2757

.7243

3.30

.0005

.9995

.001

.9990

1.10

.1357

.8643

.2713

.7287

3.35

.0004

.9996

.0008

.9992

1.11

.1335

.8665

.2670

.7330

3.40

.0003

.9997

.0007

.9993

1.12

.1314

.8686

.2627

.7373

3.45

.0003

.9997

.0006

.9994

1.13

.1292

.8707

.2585

.7415

3.50

.0002

.9998

.0005

.9995

1.14

.1271

.8729

.2543

.7457

3.65

.0001

.9999

.0003

.9997

1.15

.1251

.8749

.2501

.7499

3.80

.0001

.9999

.0001

.9999

1.16

.1230

.8770

.2460

.7540

4.00

.0000

.9999

.0000

.9994

Valorile critice ale coeficientului de corelatie r

Df =

N-2

Pragul de semnificatie pentru testul unilateral

.05

.025

.01

.005

.0005

Pragul de semnificatie pentru testul bilateral

.10

.05

.02

.01

.001
           

1

.9877

.9969

.9995

.9999

1.000

2

.9000

.9500

.9800

.9900

.9990

3

.8054

.8783

.9343

.9587

.9912

4

.7293

.8114

.8822

.9172

.9741

5

.6694

.7545

.8329

.8745

.9507

6

.6215

.7067

.7887

.8343

.9249

7

.5822

.6664

.7498

.7977

.8982

8

.5494

.6319

.7155

.7646

.8721

9

.5214

.6021

.6851

.7348

.8471

10

.4973

.5760

.6581

.7079

.8233

11

.4762

.5529

.6339

.6835

.8010

12

.4575

.5324

.6120

.6614

.7800

13

.4409

.5139

.5923

.6411

.7603

14

.4259

.4973

.5742

.6226

.7420

15

.4124

.4821

.5577

.6055

.7246

16

.4000

.4683

.5425

.5897

.7084

17

.3887

.4555

.5285

.5751

.6932

18

.3783

.4438

.5155

.5614

.6787

19

.3687

.4329

.5034

.5487

.6652

20

.3598

.4227

.4921

.5368

.6524

21

.3520

.4130

.4820

.5260

  

22

.3440

.4040

.4720

.5150

  

23

.3370

.3960

.4620

.5050

  

24

.3330

.3880

.4530

.4960

  

25

.3233

.3809

.4451

.4869

.5974

26

.3170

.3740

.4370

.4790

  

27

.3110

.3670

.4300

.4710

  

28

.3060

.3610

.4230

.4630

  

29

.3010

.3550

.4160

.4560

  

30

.2960

.3494

.4093

.4487

.5541

35

.2746

.3246

.3810

.4182

.5189

40

.2573

.3044

.3578

.3932

.4896

45

.2428

.2875

.3384

.3721

.4648

50

.2306

.2732

.3218

.3541

.4433

60

.2108

.2500

.2948

.3248

.4078

70

.1954

.2319

.2737

.3017

.3799

80

.1829

.2172

.2565

.2830

3568

90

.1726

.2050

.2422

.2673

.3375

100

.1638

.1946

.2301

.2540

.3211

Pentru a fi semnificativa valoarea obtinuta trebuie sa fie mai mare sau egala cu valoarea corespondenta din tabel.

Valorile critice ale lui ro(Spearman)

Numar de perechi

N

Nivelul lui alfa

UNILATERAL

BILATERAL

.05

.01

.05

.01

5

.900

-

-

-

6

.829

.943

.886

-

7

.714

.893

.786

-

8

.643

.833

.738

.881

9

.600

.783

.683

.833

10

.564

.745

.648

.794

11

.523

.736

.623

.755

12

.497

.703

.591

.727

13

.475

.673

.566

.703

14

.457

.646

.545

.689

15

.441

.623

.525

.679

16

.425

.601

.507

.666

17

.412

.582

.490

.645

18

.399

.564

.476

.625

19

.388

.549

.462

.608

20

.377

.534

.450

.591

21

.368

.521

.438

.576

22

.359

.508

.428

.562

23

.351

.496

.418

.549

24

.343

.485

.409

.537

25

.336

.475

.400

.526

26

.329

.465

.392

.515

27

.323

.456

.385

.505

28

.317

.448

.377

.496

29

.311

.440

.370

.487

30

.305

.432

.364

.478

 

Valorile critice ale distributiei lui t

 

df

Pragul de semnificatie pentru testul bilateral

.20

.10

.05

.02

.01

.001

Pragul de semnificatie pentru testul unilateral

.10

.05

.025

.01

.005

.0005

2

1.886

2.920

4.303

6.965

9.925

31.598

3

1.638

2.353

3.182

4.541

5.841

12.924

4

1.533

2.132

2.776

3.747

4.604

8.610

5

1.476

2.015

2.571

3.365

4.032

6.869

6

1.440

1.943

2.447

3.143

3.707

5.959

7

1.415

1.895

2.365

2.998

3.499

5.408

8

1.397

1.860

2.306

2.896

3.355

5.041

9

1.383

1.833

2.262

2.821

3.250

4.781

10

1.372

1.812

2.228

2.764

3.169

4.587

11

1.363

1.796

2.201

2.718

3.106

4.437

12

1.356

1.782

2.179

2.681

3.055

4.318

13

1.350

1.771

2.160

2.650

3.012

4.221

14

1.345

1.761

2.145

2.624

2.977

4.140

15

1.341

1.753

2.131

2.602

2.947

4.073

16

1.337

1.746

2.120

2.583

2.921

4.015

17

1.333

1.740

2.110

2.567

2.898

3.965

18

1.330

1.734

2.101

2.552

2.878

3.922

19

1.328

1.728

2.093

2.539

2.861

3.883

20

1.325

1.725

2.086

2.528

2.845

3.850

21

1.323

1.721

2.080

2.518

2.831

3.819

22

1.321

1.717

2.074

2.508

2.819

3.792

23

1.319

1.714

2.069

2.500

2.807

3.767

24

1.318

1.711

2.064

2.492

2.797

3.745

25

1.316

1.708

2.060

2.485

2.787

3.725

26

1.315

1.706

2.056

2.479

2.779

3.707

27

1.314

1.703

2.052

2.474

2.771

3.690

28

1.313

1.701

2.048

2.467

2.763

3.674

29

1.311

1.699

2.045

2.462

2.756

3.659

30

1.310

1.697

2.042

2.457

2.750

3.646

40

1.303

1.684

2.021

2.423

2.704

3.551

60

1.296

1.671

2.000

2.390

2.660

3.460

120

1.289

1.658

1.980

2.358

2.617

3.373

Pentru a fi semnificativa valoarea obtinuta trebuie sa fie mai mare sau egala cu valoarea corespondenta din tabel.

Valorile critice ale distributiei hi patrat

df

.10

.05

.02

.01

.001

1

2.71

3.84

5.41

6.64

10.83

2

4.60

5.99

7.82

9.21

13.82

3

6.25

7.82

9.84

11.34

16.27

4

7.78

9.49

11.67

13.28

18.46

5

9.24

11.07

13.39

15.09

20.52

6

10.64

12.59

15.03

16.81

22.46

7

12.02

14.07

16.62

18.48

24.32

8

13.36

15.51

18.17

20.09

26.12

9

14.68

16.92

19.68

21.67

27.88

10

15.99

18.31

21.16

23.21

29.59

11

17.28

19.68

22.62

24.72

31.26

12

18.55

21.03

24.05

26.22

32.91

13

19.81

22.36

25.47

27.69

34.53

14

21.06

23.68

26.87

29.14

36.12

15

22.31

25.00

28.26

30.58

37.70

16

23.54

26.30

29.63

32.00

39.25

17

24.77

27.59

31.00

33.41

40.79

18

25.99

28.87

32.35

34.80

42.31

19

27.20

30.14

33.69

36.19

43.82

20

28.41

31.41

35.02

37.57

45.32

21

29.62

32.67

36.34

38.93

46.80

22

30.81

33.92

37.66

40.29

48.27

23

32.01

35.17

38.97

41.64

49.73

24

33.20

36.42

40.27

42.98

51.18

25

34.38

37.65

41.57

44.31

52.62

26

35.56

38.88

42.86

45.64

54.05

27

36.74

40.11

44.14

46.96

55.48

28

37.92

41.34

45.42

48.28

.56.89

29

39.09

42.56

46.69

49.59

58.30

30

40.26

43.77

47.96

50.89

59.70

Pentru a fi semnificativa valoarea obtinuta trebuie sa fie mai mare sau egala cu valoarea corespondenta din tabel.

Valori pentru calculul coeficientilor de corelatie biserial si triserial

p sau q

pq/y

radical pq/y

y/p

p sau q

pq/y

radical pq/y

y/p

.350

.6142

1.288

1.0583

.426

.6237

1.261

.9203

.351

.6144

1.287

1.0564

.427

.6238

1.261

.9186

.352

.6145

1.287

1.0544

.428

.6239

1.261

.9169

.353

.6147

1.286

1.0525

.429

.6239

1.261

.9152

.354

.6149

1.286

1.0506

.430

.6240

1.260

.9134

.355

.6151

1.285

1.0487

.431

.6241

1.260

.9117

.356

.6152

1.285

1.0468

.432

.6242

1.260

.9100

.357

.6154

1.284

1.0449

.433

.6242

1.260

.9083

.358

.6155

1.284

1.0430

.434

.6243

1.260

.9066

.359

.6157

1.283

1.0411

.435

.6244

1.259

.9049

.360

.6158

1.283

1.0392

.436

.6244

1.259

.9032

.361

.6160

1.283

1.0373

.437

.6245

1.259

.9015

.362

.6162

1.282

1.0354

.438

.6246

1.259

.8998

.363

.6163

1.282

1.0336

.439

.6246

1.259

.8981

.364

.6165

1.281

1.0317

.440

.6247

1.259

.8964

.365

.6166

1.281

1.0298

.441

.6248

1.258

.8947

.366

.6168

1.280

1.0279

.442

.6248

1.258

.8930

.367

.6169

1.280

1.0261

.443

.6249

1.258

.8913

.368

.6171

1.280

1.0242

.444

.6250

1.258

.8896

.369

.6172

1.279

1.0223

.445

.6250

1.258

.8880

.370

.6174

1.279

1.0205

.446

.6251

1.258

.8863

.371

.6175

1.278

1.0186

.447

.6251

1.257

.8846

.372

.6177

1.278

1.0167

.448

.6252

1.257

.8829

.373

.6178

1.278

1.0149

.449

.6253

1.257

.8813

.374

.6179

1.277

1.0130

.450

.6253

1.257

.8796

.375

.6181

1.277

1.0112

.451

.6254

1.257

.8779

.376

.6182

1.276

1.0093

.452

.6254

1.257

.8762

.377

.6184

1.276

1.0075

.453

.6255

1.256

.8746

.378

.6185

1.276

1.0057

.454

.6255

1.256

.8729

.379

.6186

1.275

1.0038

.455

.6256

1.256

.8712

.380

.6188

1.275

1.0020

.456

.6256

1.256

.8695

.381

.6189

1.274

1.0002

.457

.6257

1.256

.8679

.382

.6190

1.274

.9983

.458

.6257

1.256

.8662

.383

.6192

1.274

.9965

.459

.6258

1.256

.8646

.384

.6193

1.273

.9947

.460

.6258

1.256

.8629

.385

.6194

1.273

.9929

.461

.6258

1.256

.8612

.386

.6196

1.273

.9910

.462

.6259

1.255

.8596

.387

.6197

1.272

.9892

.463

.6259

1.255

.8579

.388

.6198

1.272

.9874

.464

.6260

1.255

.8563

.389

.6199

1.272

.9856

.465

.6260

1.255

.8546

.390

.6200

1.271

.9838

.466

.6260

1.255

.8530

.391

.6202

1.271

.9820

.467

.6261

1.255

.8513

.392

.6203

1.271

.9802

.468

.6261

1.255

.8497

.393

.6204

1.270

.9784

.469

.6261

1.255

.8480

.394

.6205

1.270

.9766

.470

.6262

1.255

.8464

.395

.6206

1.270

.9748

.471

.6262

1.255

.8448

.396

.6208

1.269

.9730

.472

.6262

1.254

.8431

.397

.6209

1.269

.9712

.473

.6263

1.254

.8415

.398

.6210

1.269

.9694

.474

.6263

1.254

.8399

.399

.6211

1.268

.9676

.475

.6263

1.254

.8382

.400

.6212

1.268

.9659

.476

.6263

1.254

.8366

.401

.6213

1.268

.9644

.477

.6264

1.254

.8350

.402

.6214

1.267

.9623

.478

.6264

1.254

.8333

.403

.6215

1.267

.9605

.479

.6264

1.254

.8317

.404

.6216

1.267

.9587

.480

.6264

1.254

.8301

.405

.6218

1.267

.9570

.481

.6265

1.254

.8285

.406

.6219

1.266

.9552

.482

.6265

1.254

.8268

.407

.6220

1.266

.9534

.483

.6265

1.254

.8252

.408

.6221

1.266

.9517

.484

.6265

1.254

.8236

.409

.6222

1.265

.9499

.485

.6265

1.254

.8220

.410

.6223

1.265

.9482

.486

.6266

1.254

.8204

.411

.6224

1.265

.9464

.487

.6266

1.254

.8188

.412

.6225

1.265

.9446

.488

.6266

1.254

.8171

.413

.6225

1.264

.9429

.489

.6266

1.253

.8155

.414

.6226

1.264

.9411

.490

.6266

1.253

.8139

.415

.6227

1.264

.9394

.491

.6266

1.253

.8123

.416

.6228

1.264

.9376

.492

.6266

1.253

.8107

.417

.6229

1.263

.9359

.493

.6266

1.253

.8091

.418

.6230

1.263

.9342

.494

.6266

1.253

.8075

.419

.6231

1.263

.9324

.495

.6266

1.253

.8059

.420

.6233

1.263

.9307

.496

.6266

1.253

.8043

.421

.6233

1.262

.9290

.497

.6266

1.253

.8027

.422

.6234

1.262

.9272

.498

.6267

1.253

.8011

.423

.6234

1.262

.9255

.499

.6267

1.253

.7995

.424

.6235

1.262

.9238

.500

.6267

1.253

.7979

.425

.6236

1.261

.9221

        

 

Valorile critice U ale testului Mann-Whitney

Testul unilateral alfa = .01 si alfa = .005

Testul bilateral alfa = .02 si alfa = .01

n1

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

4

-

0

1

1

2

3

3

4

5

5

6

7

7

8

9

9

10
 

-

-

0

0

1

1

2

2

3

3

4

5

5

6

6

7

8

5

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16
 

-

0

1

1

2

3

4

5

6

7

7

8

9

10

11

12

13

6

1

2

3

4

6

7

8

9

11

12

13

15

16

18

19

20

22
 

0

1

2

3

4

5

6

7

9

10

11

12

13

15

16

17

18

7

1

3

4

6

7

9

11

12

14

16

17

19

21

23

24

26

28
 

0

1

3

4

6

7

9

10

12

13

15

16

18

19

21

22

24

8

2

4

6

7

9

11

13

15

17

20

22

24

26

28

30

32

34
 

1

2

4

6

7

9

11

13

15

17

18

20

22

24

26

29

30

9

3

5

7

9

11

14

16

18

21

23

26

28

31

33

36

38

40
 

1

3

5

7

9

11

13

16

18

20

22

24

27

29

31

33

36

10

3

6

8

11

13

16

19

22

24

27

30

33

36

38

41

44

47
 

2

4

6

9

11

13

16

18

21

24

26

29

31

34

37

39

42

11

4

7

9

12

15

18

22

25

28

31

34

37

41

44

47

50

53
 

2

5

7

10

13

16

18

21

24

27

30

33

36

39

42

45

48

12

5

8

11

14

17

21

24

28

31

35

38

42

46

49

53

56

60
 

3

6

9

12

15

18

21

24

27

31

34

37

41

44

47

51

54

13

5

9

12

16

20

23

27

31

35

38

43

47

51

55

59

63

67
 

3

7

10

13

17

20

24

27

31

34

38

42

45

49

53

56

60

14

6

10

13

17

22

26

30

34

38

43

47

51

56

60

65

69

73
 

4

7

11

15

18

22

26

30

34

38

42

46

50

54

58

63

67

15

7

11

15

19

24

28

33

37

42

47

51

56

61

66

70

75

80
 

5

8

12

16

20

24

29

33

37

42

46

51

55

60

64

69

73

16

7

12

16

21

26

31

36

41

46

51

56

61

66

71

76

82

87
 

5

9

13

18

22

27

31

36

41

45

50

55

60

65

70

74

79

17

8

13

18

23

28

33

38

44

49

55

60

66

71

77

82

88

93
 

6

10

15

19

24

29

34

39

44

49

54

60

65

70

75

81

86

18

9

14

19

24

30

36

41

47

53

59

65

70

76

82

88

94

100
 

6

11

16

21

26

31

37

42

47

53

58

64

70

75

81

87

92

19

9

15

20

26

32

38

44

50

56

63

69

75

82

88

94

101

107
 

7

12

17

22

28

33

39

45

51

56

63

69

74

81

87

93

99

20

10

16

22

28

34

40

47

53

60

67

73

80

87

93

100

107

114
 

8

13

18

24

30

36

42

48

54

60

67

73

79

86

92

99

105

n2

                                  

Pentru a fi semnificativ U obtinut trebuie sa fie mai mic sau egal cu valoarea corespondenta din tabelul de mai sus.

 Valorile critice U pentru testul Mann-Whitney

Testul unilateral alfa = .05 si alfa = .025

Testul bilateral alfa = .10 si alfa = .05

n1

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

4

1

2

3

4

5

6

7

8

9

10

11

12

14

15

16

17

18
 

0

1

2

3

4

4

5

6

7

8

9

10

11

11

12

13

13

5

2

4

5

6

8

9

11

12

13

15

16

18

19

20

22

23

25
 

1

2

3

5

6

7

8

9

11

12

13

14

15

17

18

19

20

6

3

5

7

8

10

12

14

16

17

19

21

23

25

26

28

30

32
 

2

3

5

6

8

10

11

13

14

16

17

19

21

22

24

25

27

7

4

6

8

11

13

15

17

19

21

24

26

28

30

33

35

37

39
 

3

5

6

8

10

12

14

16

18

20

22

24

26

28

30

32

34

8

5

8

10

13

15

18

20

23

26

28

31

33

36

39

41

44

47
 

4

6

8

10

13

15

17

19

22

24

26

29

31

34

36

38

41

9

6

9

12

15

18

21

24

27

30

33

36

39

42

45

48

51

54
 

4

7

10

12

15

17

20

23

26

28

31

34

37

39

42

45

48

10

7

11

14

17

20

24

27

31

34

37

41

44

48

51

55

58

62
 

5

8

11

14

17

20

23

26

29

33

36

39

42

45

48

52

55

11

8

12

16

19

23

27

31

34

38

42

46

50

54

57

61

65

69
 

6

9

13

16

19

23

26

30

33

37

40

44

47

51

55

58

62

12

9

13

17

21

26

30

34

38

42

47

51

55

60

64

68

72

77
 

7

11

14

18

22

26

29

33

37

41

45

49

53

57

61

65

69

13

10

15

19

24

28

33

37

42

47

51

56

61

65

70

75

80

84
 

8

12

16

20

24

28

33

37

41

45

50

54

59

63

67

72

76

14

11

16

21

26

31

36

41

46

51

56

61

66

71

77

82

87

92
 

9

13

17

22

26

31

36

40

45

50

55

59

64

67

74

78

83

15

12

18

23

28

33

39

44

50

55

61

66

72

77

83

88

94

100
 

10

14

19

24

29

34

39

44

49

54

59

64

70

75

80

85

90

16

14

19

25

30

36

42

48

54

60

65

71

77

83

89

95

101

107
 

11

15

21

26

31

37

42

47

53

59

64

70

75

81

86

92

98

17

15

20

26

33

39

45

51

57

64

70

77

83

89

96

02

109

115
 

11

17

22

28

34

39

45

51

57

63

67

75

81

87

93

99

105

18

16

22

28

35

41

48

55

61

68

75

82

88

95

02

09

16

23
 

12

18

24

30

36

42

48

55

61

67

74

80

86

93

99

106

112

19

17

23

30

37

44

51

58

65

72

80

87

94

01

09

16

123

130
 

13

19

25

32

38

45

52

58

65

72

78

85

92

99

06

113

119

20

18

25

32

39

47

54

62

69

77

84

92

00

07

15

23

130

138
 

13

20

27

34

41

48

55

62

69

76

83

90

98

05

12

119

127

n2

                                  

Pentru a fi semnificativ U obtinut trebuie sa fie mai mic sau egal cu valoarea corespondenta din tabel.

Valorile critice T ale testului Wilcoxon-perechi

Nr. perechi

Nivelul alfa –test unilateral

Nr. perechi

Nivelul alfa –test unilateral

.05

.025

.01

.005

  

.05

.025

.01

.005

Nivelul alfa –test bilateral

  

Nivelul alfa –test bilateral

.10

.05

.02

.01

.10

.05

.02

.01

5

0

-

-

-

28

130

116

101

91

6

2

0

-

-

29

140

126

110

100

7

3

2

0

-

30

151

137

120

109

8

5

3

1

0

31

163

147

130

118

9

8

5

3

1

32

175

159

140

128

10

10

8

5

3

33

187

170

151

138

11

13

10

7

5

34

200

182

162

148

12

17

13

9

7

35

213

195

173

159

13

21

17

12

9

36

227

208

185

171

14

25

21

19

12

37

241

221

198

182

15

30

25

19

15

38

256

235

211

194

16

35

29

23

19

39

271

249

224

207

17

41

34

27

23

40

286

264

238

220

18

47

40

32

27

41

302

279

252

233

19

53

46

37

32

42

319

294

266

247

20

60

52

43

37

43

336

310

281

261

21

67

58

49

42

44

353

327

296

276

22

75

65

55

48

45

371

343

312

291

23

83

73

62

54

46

389

361

328

307

24

91

81

69

61

47

407

378

345

322

25

100

89

76

68

48

426

396

362

339

26

110

98

84

75

49

446

415

379

355

27

119

107

92

83

50

466

434

397

373

Pentru un T semnificativ statistic, valoarea obtinuta trebuie sa fie mai mica sau egala cu valoarea adecvata din tabel.

Valorile coeficientilor contrastelor polinomiale

Liniar -1 0 1 Liniar -3 -1 1 3

Patratic 1 -2 1 Patratic 1 -1 -1 1

Cubic -1 3 -3 1

Liniar -2 -1 0 1 2 Liniar -5 -3 -1 1 3 5

Patratic 2 -1 -2 -1 2 Patratic 5 -1 -4 –4 –1 5

Cubic -1 2 0 -2 1 Cubic -5 7 4 -4 -7 5

Cuartic 1 -4 6 -4 1 Cuartic 1 -3 2 2 -3 1

Valorile critice F

Valorile critice Q pentru testul Tukey

I. TEHNICI STATISTICE: Statistica descriptiva, Studiul corelational, Metode de comparatie, Tabele, Formule si raspunsuri la intrebari, Bibliografie recomandata
II. APLICATII STATISTICE: Baze de date - Exemple
III. TESTE
IV. LINK-URI RECOMANDATE

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