Deprecated: Methods with the same name as their class will not be constructors in a future version of PHP; plgContentJComments has a deprecated constructor in /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php on line 25 Call Stack: 0.0000 362456 1. {main}() /var/www/astarmathsandphysics/index.php:0 0.0444 1211856 2. Joomla\CMS\Application\SiteApplication->execute() /var/www/astarmathsandphysics/index.php:49 0.0444 1211856 3. Joomla\CMS\Application\SiteApplication->doExecute() /var/www/astarmathsandphysics/libraries/src/Application/CMSApplication.php:267 0.1471 4127080 4. Joomla\CMS\Application\SiteApplication->dispatch() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:233 0.1486 4154840 5. Joomla\CMS\Component\ComponentHelper::renderComponent() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:194 0.1495 4172552 6. Joomla\CMS\Component\ComponentHelper::executeComponent() /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:356 0.1497 4203072 7. require_once('/var/www/astarmathsandphysics/components/com_content/content.php') /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:381 0.1507 4225792 8. ContentController->execute() /var/www/astarmathsandphysics/components/com_content/content.php:42 0.1508 4225792 9. ContentController->display() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:710 0.2197 4993728 10. ContentController->display() /var/www/astarmathsandphysics/components/com_content/controller.php:113 0.2236 5185880 11. Joomla\CMS\Cache\Controller\ViewController->get() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:663 0.2242 5206808 12. ContentViewArticle->display() /var/www/astarmathsandphysics/libraries/src/Cache/Controller/ViewController.php:102 0.2367 5465680 13. Joomla\CMS\Plugin\PluginHelper::importPlugin() /var/www/astarmathsandphysics/components/com_content/views/article/view.html.php:189 0.2368 5465936 14. Joomla\CMS\Plugin\PluginHelper::import() /var/www/astarmathsandphysics/libraries/src/Plugin/PluginHelper.php:182

5 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

161.4476

199.5000

215.7073

224.5832

230.1619

233.9860

236.7684

238.8827

240.5433

241.8817

243.9060

245.9499

248.0131

249.0518

250.0951

251.1432

252.1957

253.2529

254.3144

2

18.5128

19.0000

19.1643

19.2468

19.2964

19.3295

19.3532

19.3710

19.3848

19.3959

19.4125

19.4291

19.4458

19.4541

19.4624

19.4707

19.4791

19.4874

19.4957

3

10.1280

9.5521

9.2766

9.1172

9.0135

8.9406

8.8867

8.8452

8.8123

8.7855

8.7446

8.7029

8.6602

8.6385

8.6166

8.5944

8.5720

8.5494

8.5264

4

7.7086

6.9443

6.5914

6.3882

6.2561

6.1631

6.0942

6.0410

5.9988

5.9644

5.9117

5.8578

5.8025

5.7744

5.7459

5.7170

5.6877

5.6581

5.6281

5

6.6079

5.7861

5.4095

5.1922

5.0503

4.9503

4.8759

4.8183

4.7725

4.7351

4.6777

4.6188

4.5581

4.5272

4.4957

4.4638

4.4314

4.3985

4.3650

6

5.9874

5.1433

4.7571

4.5337

4.3874

4.2839

4.2067

4.1468

4.0990

4.0600

3.9999

3.9381

3.8742

3.8415

3.8082

3.7743

3.7398

3.7047

3.6689

7

5.5914

4.7374

4.3468

4.1203

3.9715

3.8660

3.7870

3.7257

3.6767

3.6365

3.5747

3.5107

3.4445

3.4105

3.3758

3.3404

3.3043

3.2674

3.2298

8

5.3177

4.4590

4.0662

3.8379

3.6875

3.5806

3.5005

3.4381

3.3881

3.3472

3.2839

3.2184

3.1503

3.1152

3.0794

3.0428

3.0053

2.9669

2.9276

9

5.1174

4.2565

3.8625

3.6331

3.4817

3.3738

3.2927

3.2296

3.1789

3.1373

3.0729

3.0061

2.9365

2.9005

2.8637

2.8259

2.7872

2.7475

2.7067

10

4.9646

4.1028

3.7083

3.4780

3.3258

3.2172

3.1355

3.0717

3.0204

2.9782

2.9130

2.8450

2.7740

2.7372

2.6996

2.6609

2.6211

2.5801

2.5379

11

4.8443

3.9823

3.5874

3.3567

3.2039

3.0946

3.0123

2.9480

2.8962

2.8536

2.7876

2.7186

2.6464

2.6090

2.5705

2.5309

2.4901

2.4480

2.4045

12

4.7472

3.8853

3.4903

3.2592

3.1059

2.9961

2.9134

2.8486

2.7964

2.7534

2.6866

2.6169

2.5436

2.5055

2.4663

2.4259

2.3842

2.3410

2.2962

13

4.6672

3.8056

3.4105

3.1791

3.0254

2.9153

2.8321

2.7669

2.7144

2.6710

2.6037

2.5331

2.4589

2.4202

2.3803

2.3392

2.2966

2.2524

2.2064

14

4.6001

3.7389

3.3439

3.1122

2.9582

2.8477

2.7642

2.6987

2.6458

2.6022

2.5342

2.4630

2.3879

2.3487

2.3082

2.2664

2.2229

2.1778

2.1307

15

4.5431

3.6823

3.2874

3.0556

2.9013

2.7905

2.7066

2.6408

2.5876

2.5437

2.4753

2.4034

2.3275

2.2878

2.2468

2.2043

2.1601

2.1141

2.0658

16

4.4940

3.6337

3.2389

3.0069

2.8524

2.7413

2.6572

2.5911

2.5377

2.4935

2.4247

2.3522

2.2756

2.2354

2.1938

2.1507

2.1058

2.0589

2.0096

17

4.4513

3.5915

3.1968

2.9647

2.8100

2.6987

2.6143

2.5480

2.4943

2.4499

2.3807

2.3077

2.2304

2.1898

2.1477

2.1040

2.0584

2.0107

1.9604

18

4.4139

3.5546

3.1599

2.9277

2.7729

2.6613

2.5767

2.5102

2.4563

2.4117

2.3421

2.2686

2.1906

2.1497

2.1071

2.0629

2.0166

1.9681

1.9168

19

4.3807

3.5219

3.1274

2.8951

2.7401

2.6283

2.5435

2.4768

2.4227

2.3779

2.3080

2.2341

2.1555

2.1141

2.0712

2.0264

1.9795

1.9302

1.8780

20

4.3512

3.4928

3.0984

2.8661

2.7109

2.5990

2.5140

2.4471

2.3928

2.3479

2.2776

2.2033

2.1242

2.0825

2.0391

1.9938

1.9464

1.8963

1.8432

21

4.3248

3.4668

3.0725

2.8401

2.6848

2.5727

2.4876

2.4205

2.3660

2.3210

2.2504

2.1757

2.0960

2.0540

2.0102

1.9645

1.9165

1.8657

1.8117

22

4.3009

3.4434

3.0491

2.8167

2.6613

2.5491

2.4638

2.3965

2.3419

2.2967

2.2258

2.1508

2.0707

2.0283

1.9842

1.9380

1.8894

1.8380

1.7831

23

4.2793

3.4221

3.0280

2.7955

2.6400

2.5277

2.4422

2.3748

2.3201

2.2747

2.2036

2.1282

2.0476

2.0050

1.9605

1.9139

1.8648

1.8128

1.7570

24

4.2597

3.4028

3.0088

2.7763

2.6207

2.5082

2.4226

2.3551

2.3002

2.2547

2.1834

2.1077

2.0267

1.9838

1.9390

1.8920

1.8424

1.7896

1.7330

25

4.2417

3.3852

2.9912

2.7587

2.6030

2.4904

2.4047

2.3371

2.2821

2.2365

2.1649

2.0889

2.0075

1.9643

1.9192

1.8718

1.8217

1.7684

1.7110

26

4.2252

3.3690

2.9752

2.7426

2.5868

2.4741

2.3883

2.3205

2.2655

2.2197

2.1479

2.0716

1.9898

1.9464

1.9010

1.8533

1.8027

1.7488

1.6906

27

4.2100

3.3541

2.9604

2.7278

2.5719

2.4591

2.3732

2.3053

2.2501

2.2043

2.1323

2.0558

1.9736

1.9299

1.8842

1.8361

1.7851

1.7306

1.6717

28

4.1960

3.3404

2.9467

2.7141

2.5581

2.4453

2.3593

2.2913

2.2360

2.1900

2.1179

2.0411

1.9586

1.9147

1.8687

1.8203

1.7689

1.7138

1.6541

29

4.1830

3.3277

2.9340

2.7014

2.5454

2.4324

2.3463

2.2783

2.2229

2.1768

2.1045

2.0275

1.9446

1.9005

1.8543

1.8055

1.7537

1.6981

1.6376

30

4.1709

3.3158

2.9223

2.6896

2.5336

2.4205

2.3343

2.2662

2.2107

2.1646

2.0921

2.0148

1.9317

1.8874

1.8409

1.7918

1.7396

1.6835

1.6223

40

4.0847

3.2317

2.8387

2.6060

2.4495

2.3359

2.2490

2.1802

2.1240

2.0772

2.0035

1.9245

1.8389

1.7929

1.7444

1.6928

1.6373

1.5766

1.5089

60

4.0012

3.1504

2.7581

2.5252

2.3683

2.2541

2.1665

2.0970

2.0401

1.9926

1.9174

1.8364

1.7480

1.7001

1.6491

1.5943

1.5343

1.4673

1.3893

120

3.9201

3.0718

2.6802

2.4472

2.2899

2.1750

2.0868

2.0164

1.9588

1.9105

1.8337

1.7505

1.6587

1.6084

1.5543

1.4952

1.4290

1.3519

1.2539

inf

3.8415

2.9957

2.6049

2.3719

2.2141

2.0986

2.0096

1.9384

1.8799

1.8307

1.7522

1.6664

1.5705

1.5173

1.4591

1.3940

1.3180

1.2214

1.0000