F table : Probability of a larger F value = 0.500 (one tailed test)

d.f.

1

2

3

4

5

6

7

8

9

10

12

15

20

30

50

100

200

¥

1

1.000

1.500

1.709

1.823

1.894

1.942

1.977

2.004

2.025

2.042

2.067

2.093

2.12

2.15

2.17

2.18

2.19

2.20

2

0.667

1.000

1.135

1.207

1.252

1.282

1.305

1.321

1.334

1.345

1.361

1.377

1.39

1.41

1.42

1.43

1.44

1.44

3

0.585

0.881

1.000

1.063

1.102

1.129

1.148

1.163

1.174

1.183

1.197

1.211

1.23

1.24

1.25

1.26

1.26

1.27

4

0.549

0.828

0.941

1.000

1.037

1.062

1.080

1.093

1.104

1.113

1.126

1.139

1.15

1.16

1.18

1.18

1.19

1.19

5

0.528

0.799

0.907

0.965

1.000

1.024

1.041

1.055

1.065

1.073

1.085

1.098

1.11

1.12

1.13

1.14

1.15

1.15

6

0.515

0.780

0.886

0.942

0.977

1.000

1.017

1.030

1.040

1.048

1.060

1.072

1.08

1.10

1.11

1.11

1.12

1.12

7

0.506

0.767

0.871

0.926

0.960

0.983

1.000

1.013

1.022

1.030

1.042

1.054

1.07

1.08

1.09

1.10

1.10

1.10

8

0.499

0.757

0.860

0.915

0.948

0.971

0.988

1.000

1.010

1.018

1.029

1.041

1.05

1.07

1.07

1.08

1.09

1.09

9

0.494

0.749

0.852

0.906

0.939

0.962

0.978

0.990

1.000

1.008

1.019

1.031

1.04

1.05

1.06

1.07

1.08

1.08

10

0.490

0.743

0.845

0.899

0.932

0.954

0.971

0.983

0.992

1.000

1.012

1.023

1.03

1.05

1.06

1.06

1.07

1.07

12

0.484

0.735

0.835

0.888

0.921

0.943

0.959

0.972

0.981

0.989

1.000

1.012

1.02

1.03

1.04

1.05

1.05

1.06

15

0.478

0.726

0.826

0.878

0.911

0.933

0.949

0.960

0.970

0.977

0.989

1.000

1.01

1.02

1.03

1.04

1.04

1.05

20

0.472

0.718

0.816

0.868

0.900

0.922

0.938

0.950

0.959

0.966

0.977

0.989

1.00

1.01

1.02

1.03

1.03

1.03

30

0.466

0.709

0.807

0.858

0.890

0.912

0.927

0.939

0.948

0.955

0.966

0.978

0.99

1.00

1.01

1.02

1.02

1.02

40

0.463

0.705

0.802

0.854

0.885

0.907

0.922

0.934

0.943

0.950

0.961

0.972

0.98

0.99

1.00

1.01

1.01

1.02

50

0.462

0.703

0.800

0.851

0.882

0.903

0.919

0.930

0.940

0.947

0.958

0.969

0.98

0.99

1.00

1.01

1.01

1.01

100

0.458

0.698

0.794

0.845

0.876

0.897

0.913

0.924

0.933

0.940

0.951

0.962

0.97

0.98

0.99

1.00

1.00

1.01

200

0.457

0.696

0.791

0.842

0.873

0.894

0.910

0.921

0.930

0.937

0.948

0.959

0.97

0.98

0.99

1.00

1.00

1.00

¥

0.455

0.693

0.789

0.839

0.870

0.891

0.907

0.918

0.927

0.934

0.945

0.956

0.97

0.98

0.99

0.99

1.00

1.00

 

 

 

F table : Probability of a larger F value = 0.75 (one tailed test)

d.f.

1

2

3

4

5

6

7

8

9

10

12

15

20

30

50

100

200

¥

1

0.172

0.389

0.494

0.553

0.591

0.617

0.636

0.650

0.661

0.670

0.684

0.698

0.712

0.727

0.738

0.747

0.751

0.756

2

0.133

0.333

0.439

0.500

0.540

0.567

0.588

0.604

0.616

0.626

0.641

0.657

0.673

0.689

0.702

0.711

0.716

0.721

3

0.122

0.317

0.425

0.489

0.531

0.560

0.582

0.599

0.613

0.624

0.641

0.658

0.675

0.693

0.708

0.719

0.725

0.730

4

0.117

0.309

0.418

0.484

0.528

0.560

0.583

0.601

0.615

0.627

0.645

0.664

0.683

0.702

0.718

0.730

0.737

0.743

5

0.113

0.305

0.415

0.483

0.528

0.560

0.584

0.603

0.618

0.631

0.650

0.669

0.690

0.711

0.728

0.741

0.748

0.755

6

0.111

0.302

0.413

0.482

0.528

0.561

0.586

0.606

0.621

0.634

0.654

0.675

0.696

0.718

0.737

0.751

0.758

0.765

7

0.110

0.300

0.411

0.481

0.528

0.562

0.588

0.608

0.624

0.637

0.658

0.679

0.702

0.725

0.744

0.759

0.767

0.774

8

0.109

0.298

0.410

0.481

0.528

0.563

0.589

0.610

0.627

0.640

0.661

0.683

0.707

0.731

0.751

0.767

0.775

0.783

9

0.108

0.297

0.410

0.480

0.529

0.564

0.591

0.612

0.629

0.643

0.664

0.687

0.711

0.736

0.757

0.773

0.782

0.790

10

0.107

0.296

0.409

0.480

0.529

0.565

0.592

0.613

0.630

0.645

0.667

0.690

0.715

0.740

0.762

0.779

0.788

0.797

12

0.106

0.295

0.408

0.480

0.530

0.566

0.594

0.616

0.633

0.648

0.671

0.695

0.721

0.748

0.771

0.789

0.799

0.808

15

0.105

0.293

0.407

0.480

0.530

0.567

0.596

0.618

0.637

0.652

0.676

0.701

0.728

0.757

0.782

0.801

0.812

0.822

20

0.104

0.292

0.406

0.480

0.531

0.569

0.598

0.622

0.641

0.656

0.681

0.708

0.736

0.767

0.794

0.816

0.827

0.839

30

0.103

0.290

0.406

0.480

0.532

0.571

0.601

0.625

0.645

0.661

0.688

0.716

0.746

0.780

0.810

0.835

0.848

0.862

40

0.103

0.290

0.405

0.480

0.533

0.572

0.603

0.627

0.647

0.664

0.691

0.720

0.752

0.787

0.819

0.846

0.861

0.877

50

0.103

0.289

0.405

0.480

0.533

0.573

0.604

0.628

0.649

0.666

0.693

0.723

0.755

0.792

0.825

0.854

0.870

0.887

100

0.102

0.289

0.405

0.480

0.534

0.574

0.606

0.631

0.652

0.670

0.698

0.729

0.763

0.803

0.840

0.873

0.893

0.916

200

0.102

0.288

0.404

0.481

0.534

0.575

0.607

0.632

0.654

0.672

0.701

0.732

0.768

0.809

0.849

0.886

0.909

0.938

¥

0.102

0.288

0.404

0.481

0.535

0.576

0.608

0.634

0.655

0.674

0.703

0.736

0.772

0.816

0.859

0.901

0.930

0.987