Two and a Half Per Cent Points for the F - Distribution

df2/df1

1

2

3

4

5

6

7

8

9

10

12

15

20

24

30

40

60

120

INF

1

647.7890

799.5000

864.1630

899.5833

921.8479

937.1111

948.2169

956.6562

963.2846

968.6274

976.7079

984.8668

993.1028

997.2492

1001.414

1005.598

1009.800

1014.020

1018.258

2

38.5063

39.0000

39.1655

39.2484

39.2982

39.3315

39.3552

39.3730

39.3869

39.3980

39.4146

39.4313

39.4479

39.4562

39.465

39.473

39.481

39.490

39.498

3

17.4434

16.0441

15.4392

15.1010

14.8848

14.7347

14.6244

14.5399

14.4731

14.4189

14.3366

14.2527

14.1674

14.1241

14.081

14.037

13.992

13.947

13.902

4

12.2179

10.6491

9.9792

9.6045

9.3645

9.1973

9.0741

8.9796

8.9047

8.8439

8.7512

8.6565

8.5599

8.5109

8.461

8.411

8.360

8.309

8.257

5

10.0070

8.4336

7.7636

7.3879

7.1464

6.9777

6.8531

6.7572

6.6811

6.6192

6.5245

6.4277

6.3286

6.2780

6.227

6.175

6.123

6.069

6.015

6

8.8131

7.2599

6.5988

6.2272

5.9876

5.8198

5.6955

5.5996

5.5234

5.4613

5.3662

5.2687

5.1684

5.1172

5.065

5.012

4.959

4.904

4.849

7

8.0727

6.5415

5.8898

5.5226

5.2852

5.1186

4.9949

4.8993

4.8232

4.7611

4.6658

4.5678

4.4667

4.4150

4.362

4.309

4.254

4.199

4.142

8

7.5709

6.0595

5.4160

5.0526

4.8173

4.6517

4.5286

4.4333

4.3572

4.2951

4.1997

4.1012

3.9995

3.9472

3.894

3.840

3.784

3.728

3.670

9

7.2093

5.7147

5.0781

4.7181

4.4844

4.3197

4.1970

4.1020

4.0260

3.9639

3.8682

3.7694

3.6669

3.6142

3.560

3.505

3.449

3.392

3.333

10

6.9367

5.4564

4.8256

4.4683

4.2361

4.0721

3.9498

3.8549

3.7790

3.7168

3.6209

3.5217

3.4185

3.3654

3.311

3.255

3.198

3.140

3.080

11

6.7241

5.2559

4.6300

4.2751

4.0440

3.8807

3.7586

3.6638

3.5879

3.5257

3.4296

3.3299

3.2261

3.1725

3.118

3.061

3.004

2.944

2.883

12

6.5538

5.0959

4.4742

4.1212

3.8911

3.7283

3.6065

3.5118

3.4358

3.3736

3.2773

3.1772

3.0728

3.0187

2.963

2.906

2.848

2.787

2.725

13

6.4143

4.9653

4.3472

3.9959

3.7667

3.6043

3.4827

3.3880

3.3120

3.2497

3.1532

3.0527

2.9477

2.8932

2.837

2.780

2.720

2.659

2.595

14

6.2979

4.8567

4.2417

3.8919

3.6634

3.5014

3.3799

3.2853

3.2093

3.1469

3.0502

2.9493

2.8437

2.7888

2.732

2.674

2.614

2.552

2.487

15

6.1995

4.7650

4.1528

3.8043

3.5764

3.4147

3.2934

3.1987

3.1227

3.0602

2.9633

2.8621

2.7559

2.7006

2.644

2.585

2.524

2.461

2.395

16

6.1151

4.6867

4.0768

3.7294

3.5021

3.3406

3.2194

3.1248

3.0488

2.9862

2.8890

2.7875

2.6808

2.6252

2.568

2.509

2.447

2.383

2.316

17

6.0420

4.6189

4.0112

3.6648

3.4379

3.2767

3.1556

3.0610

2.9849

2.9222

2.8249

2.7230

2.6158

2.5598

2.502

2.442

2.380

2.315

2.247

18

5.9781

4.5597

3.9539

3.6083

3.3820

3.2209

3.0999

3.0053

2.9291

2.8664

2.7689

2.6667

2.5590

2.5027

2.445

2.384

2.321

2.256

2.187

19

5.9216

4.5075

3.9034

3.5587

3.3327

3.1718

3.0509

2.9563

2.8801

2.8172

2.7196

2.6171

2.5089

2.4523

2.394

2.333

2.270

2.203

2.133

20

5.8715

4.4613

3.8587

3.5147

3.2891

3.1283

3.0074

2.9128

2.8365

2.7737

2.6758

2.5731

2.4645

2.4076

2.349

2.287

2.223

2.156

2.085

21

5.8266

4.4199

3.8188

3.4754

3.2501

3.0895

2.9686

2.8740

2.7977

2.7348

2.6368

2.5338

2.4247

2.3675

2.308

2.246

2.182

2.114

2.042

22

5.7863

4.3828

3.7829

3.4401

3.2151

3.0546

2.9338

2.8392

2.7628

2.6998

2.6017

2.4984

2.3890

2.3315

2.272

2.210

2.145

2.076

2.003

23

5.7498

4.3492

3.7505

3.4083

3.1835

3.0232

2.9023

2.8077

2.7313

2.6682

2.5699

2.4665

2.3567

2.2989

2.239

2.176

2.111

2.041

1.968

24

5.7166

4.3187

3.7211

3.3794

3.1548

2.9946

2.8738

2.7791

2.7027

2.6396

2.5411

2.4374

2.3273

2.2693

2.209

2.146

2.080

2.010

1.935

25

5.6864

4.2909

3.6943

3.3530

3.1287

2.9685

2.8478

2.7531

2.6766

2.6135

2.5149

2.4110

2.3005

2.2422

2.182

2.118

2.052

1.981

1.906

26

5.6586

4.2655

3.6697

3.3289

3.1048

2.9447

2.8240

2.7293

2.6528

2.5896

2.4908

2.3867

2.2759

2.2174

2.157

2.093

2.026

1.954

1.878

27

5.6331

4.2421

3.6472

3.3067

3.0828

2.9228

2.8021

2.7074

2.6309

2.5676

2.4688

2.3644

2.2533

2.1946

2.133

2.069

2.002

1.930

1.853

28

5.6096

4.2205

3.6264

3.2863

3.0626

2.9027

2.7820

2.6872

2.6106

2.5473

2.4484

2.3438

2.2324

2.1735

2.112

2.048

1.980

1.907

1.829

29

5.5878

4.2006

3.6072

3.2674

3.0438

2.8840

2.7633

2.6686

2.5919

2.5286

2.4295

2.3248

2.2131

2.1540

2.092

2.028

1.959

1.886

1.807

30

5.5675

4.1821

3.5894

3.2499

3.0265

2.8667

2.7460

2.6513

2.5746

2.5112

2.4120

2.3072

2.1952

2.1359

2.074

2.009

1.940

1.866

1.787

40

5.4239

4.0510

3.4633

3.1261

2.9037

2.7444

2.6238

2.5289

2.4519

2.3882

2.2882

2.1819

2.0677

2.0069

1.943

1.875

1.803

1.724

1.637

60

5.2856

3.9253

3.3425

3.0077

2.7863

2.6274

2.5068

2.4117

2.3344

2.2702

2.1692

2.0613

1.9445

1.8817

1.815

1.744

1.667

1.581

1.482

120

5.1523

3.8046

3.2269

2.8943

2.6740

2.5154

2.3948

2.2994

2.2217

2.1570

2.0548

1.9450

1.8249

1.7597

1.690

1.614

1.530

1.433

1.310

inf

5.0239

3.6889

3.1161

2.7858

2.5665

2.4082

2.2875

2.1918

2.1136

2.05

1.9447

1.8326

1.7085

1.6402

1.566

1.484

1.388

1.268

1.000