ГОСТ Р ИСО 16269-8-2005 Статистические методы. Статистическое представление данных. Определение предикционных интервалов (Переиздание)

1

2

3

4

5

6

7

8

9

10

15

2

7,733

10,811

12,608

13,845

14,775

15,515

16,126

16,644

17,093

17,488

18,952

3

3,372

4,394

5,000

5,425

5,749

6,009

6,225

6,410

6,571

6,713

7,244

4

2,632

3,330

3,742

4,033

4,256

4,435

4,585

4,714

4,826

4,926

5,299

5

2,336

2,910

3,246

3,484

3,666

3,813

3,936

4,042

4,134

4,216

4,526

6

2,177

2,686

2,982

3,191

3,351

3,481

3,589

3,682

3,764

3,837

4,110

7

2,078

2,547

2,818

3,009

3,155

3,274

3,373

3,458

3,533

3,599

3,850

8

2,010

2,452

2,707

2,885

3,022

3,133

3,225

3,305

3,375

3,437

3,672

9

1,961

2,383

2,626

2,795

2,925

3,030

3,118

3,194

3,260

3,319

3,542

10

1,923

2,331

2,564

2,727

2,851

2,952

3,036

3,109

3,172

3,229

3,443

11

1,894

2,290

2,516

2,673

2,793

2,891

2,972

3,042

3,104

3,158

3,365

12

1,870

2,257

2,477

2,630

2,747

2,841

2,920

2,988

3,048

3,101

3,301

13

1,850

2,230

2,445

2,594

2,708

2,801

2,878

2,944

3,002

3,054

3,249

14

1,834

2,207

2,418

2,565

2,676

2,767

2,842

2,907

2,964

3,014

3,205

15

1,820

2,188

2,395

2,539

2,649

2,738

2,812

2,875

2,931

2,980

3,168

16

1,808

2,171

2,376

2,517

2,625

2,713

2,785

2,848

2,903

2,951

3,135

17

1,797

2,157

2,359

2,498

2,605

2,691

2,763

2,824

2,878

2,926

3,107

18

1,788

2,144

2,344

2,482

2,587

2,672

2,743

2,803

2,857

2,904

3,083

19

1,780

2,133

2,331

2,467

2,571

2,655

2,725

2,785

2,838

2,884

3,061

20

1,772

2,123

2,319

2,454

2,557

2,640

2,709

2,769

2,820

2,867

3,041

25

1,745

2,086

2,275

2,405

2,504

2,584

2,650

2,707

2,757

2,801

2,968

30

1,728

2,062

2,247

2,374

2,470

2,548

2,612

2,668

2,716

2,759

2,921

35

1,715

2,045

2,227

2,352

2,446

2,522

2,586

2,640

2,687

2,729

2,888

40

1,706

2,032

2,212

2,336

2,429

2,504

2,566

2,619

2,666

2,707

2,863

45

1,699

2,023

2,201

2,323

2,415

2,489

2,551

2,604

2,650

2,690

2,844

50

1,694

2,015

2,192

2,313

2,405

2,478

2,539

2,591

2,637

2,677

2,829

60

1,685

2,004

2,179

2,298

2,389

2,461

2,521

2,572

2,617

2,657

2,806

70

1,680

1,996

2,169

2,288

2,377

2,449

2,508

2,559

2,604

2,643

2,791

80

1,675

1,990

2,162

2,280

2,369

2,440

2,499

2,549

2,593

2,632

2,779

90

1,672

1,985

2,157

2,274

2,362

2,433

2,492

2,542

2,585

2,624

2,770

100

1,669

1,982

2,153

2,269

2,357

2,427

2,486

2,536

2,579

2,618

2,762

150

1,661

1,971

2,140

2,255

2,342

2,411

2,468

2,518

2,560

2,598

2,740

200

1,657

1,965

2,133

2,248

2,334

2,403

2,460

2,509

2,551

2,589

2,730

250

1,655

1,962

2,130

2,244

2,329

2,398

2,455

2,503

2,545

2,583

2,723

300

1,653

1,960

2,127

2,241

2,326

2,395

2,451

2,500

2,542

2,579

2,719

350

1,652

1,958

2,125

2,239

2,324

2,392

2,449

2,497

2,539

2,576

2,716

400

1,651

1,957

2,124

2,237

2,322

2,391

2,447

2,495

2,537

2,574

2,713

450

1,651

1,956

2,123

2,236

2,321

2,389

2,446

2,494

2,536

2,573

2,712

500

1,650

1,956

2,122

2,235

2,320

2,388

2,445

2,493

2,534

2,571

2,710

600

1,649

1,955

2,121

2,234

2,319

2,387

2,443

2,491

2,533

2,570

2,708

700

1,649

1,954

2,120

2,233

2,318

2,385

2,442

2,490

2,531

2,568

2,707

800

1,648

1,953

2,119

2,232

2,317

2,385

2,441

2,489

2,530

2,567

2,705

900

1,648

1,953

2,119

2,231

2,316

2,384

2,440

2,488

2,530

2,566

2,704

1000

1,648

1,953

2,118

2,231

2,316

2,383

2,439

2,487

2,529

2,566

2,704

1,645

1,949

2,115

2,227

2,311

2,379

2,434

2,482

2,523

2,560

2,697

20

30

40

50

60

80

100

150

200

250

500

2

19,941

21,269

22,169

22,845

23,384

24,212

24,836

25,933

26,684

27,253

28,948

3

7,607

8,097

8,432

8,684

8,886

9,197

9,431

9,845

10,130

10,345

10,989

4

5,555

5,904

6,143

6,324

6,469

6,692

6,861

7,160

7,366

7,522

7,989

5

4,739

5,030

5,230

5,381

5,503

5,691

5,833

6,085

6,259

6,391

6,786

6

4,299

4,558

4,737

4,872

4,981

5,149

5,277

5,503

5,659

5,778

6,134

7

4,024

4,262

4,427

4,552

4,652

4,808

4,926

5,135

5,280

5,390

5,722

8

3,835

4,059

4,213

4,331

4,425

4,572

4,683

4,881

5,018

5,122

5,435

9

3,697

3,909

4,057

4,169

4,259

4,399

4,505

4,694

4,825

4,925

5,225

10

3,591

3,795

3,937

4,045

4,131

4,266

4,368

4,550

4,677

4,773

5,062

11

3,508

3,705

3,842

3,946

4,030

4,160

4,260

4,436

4,558

4,652

4,933

12

3,440

3,632

3,765

3,866

3,948

4,075

4,171

4,343

4,462

4,553

4,827

13

3,385

3,572

3,701

3,800

3,880

4,003

4,098

4,266

4,382

4,471

4,739

14

3,338

3,521

3,647

3,744

3,822

3,943

4,036

4,200

4,314

4,401

4,664

15

3,298

3,477

3,602

3,696

3,773

3,892

3,983

4,144

4,256

4,342

4,600

16

3,263

3,439

3,562

3,655

3,730

3,847

3,936

4,095

4,206

4,290

4,544

17

3,233

3,407

3,527

3,619

3,693

3,808

3,896

4,053

4,161

4,244

4,495

18

3,207

3,378

3,497

3,587

3,666

3,774

3,861

4,015

4,122

4,204

4,452

19

3,183

3,352

3,469

3,559

3,631

3,743

3,829

3,981

4,087

4,168

4,413

20

3,162

3,329

3,445

3,533

3,605

3,716

3,800

3,951

4,056

4,136

4,378

25

3,084

3,243

3,354

3,439

3,507

3,613

3,694

3,838

3,938

4,015

4,247

30

3,033

3,187

3,295

3,376

3,442

3,545

3,623

3,763

3,860

3,934

4,159

35

2,997

3,148

3,253

3,332

3,397

3,497

3,573

3,709

3,804

3,877

4,096

40

2,971

3,119

3,221

3,300

3,363

3,461

3,536

3,669

3,762

3,833

4,049

45

2,950

3,096

3,197

3,274

3,336

3,433

3,507

3,638

3,730

3,800

4,011

50

2,934

3,078

3,178

3,254

3,315

3,411

3,483

3,613

3,704

3,773

3,982

60

2,910

3,051

3,149

3,224

3,284

3,377

3,449

3,576

3,664

3,732

3,937

70

2,892

3,032

3,129

3,202

3,262

3,354

3,424

3,549

3,636

3,703

3,904

80

2,880

3,018

3,114

3,186

3,245

3,336

3,405

3,529

3,615

3,681

3,880

90

2,870

3,007

3,102

3,174

3,232

3,322

3,391

3,514

3,599

3,664

3,861

100

2,862

2,998

3,092

3,164

3,222

3,311

3,380

3,501

3,586

3,650

3,846

150

2,838

2,972

3,064

3,134

3,191

3,278

3,345

3,464

3,546

3,609

3,800

200

2,826

2,959

3,050

3,120

3,175

3,262

3,328

3,445

3,527

3,589

3,776

250

2,819

2,951

3,042

3,111

3,166

3,252

3,318

3,434

3,515

3,576

3,762

300

2,815

2,946

3,036

3,105

3,160

3,246

3,311

3,427

3,507

3,568

3,753

350

2,811

2,942

3,032

3,101

3,156

3,241

3,306

3,421

3,501

3,562

3,746

400

2,809

2,939

3,029

3,097

3,152

3,237

3,302

3,417

3,497

3,558

3,741

450

2,807

2,937

3,027

3,095

3,150

3,235

3,299

3,414

3,494

3,554

3,738

500

2,805

2,935

3,025

3,093

3,148

3,232

3,297

3,412

3,491

3,552

3,734

600

2,803

2,933

3,022

3,090

3,145

3,229

3,294

3,408

3,487

3,547

3,730

700

2,801

2,931

3,020

3,088

3,143

3,227

3,291

3,405

3,484

3,545

3,726

800

2,800

2,930

3,019

3,086

3,141

3,225

3,289

3,403

3,482

3,542

3,724

900

2,799

2,929

3,018

3,085

3,140

3,224

3,288

3,402

3,480

3,541

3,722

1000

2,798

2,928

3,017

3,084

3,139

3,223

3,287

3,400

3,479

3,539

3,720

2,792

2,920

3,008

3,076

3,129

3,213

3,276

3,389

3,467

3,527

3,706

1000

2000

5000

10000

20000

50000

100000

200000

500000

1000000

2

30,549

32,068

33,970

35,340

36,656

38,325

39,539

40,716

42,220

43,322

3

11,599

12,180

12,908

13,433

13,938

14,580

15,047

15,499

16,078

16,502

4

8,433

8,856

9,387

9,771

10,140

10,609

10,951

11,283

11,707

12,018

5

7,163

7,522

7,974

8,300

8,615

9,015

9,306

9,589

9,951

10,217

6

6,473

6,798

7,206

7,501

7,786

8,148

8,412

8,669

8,997

9,237

7

6,037

6,339

6,720

6,995

7,261

7,599

7,845

8,085

8,391

8,616

8

5,735

6,021

6,382

6,643

6,896

7,217

7,451

7,679

7,970

8,184

9

5,511

5,786

6,132

6,383

6,625

6,934

7,159

7,378

7,658

7,864

10

5,339

5,604

5,939

6,182

6,417

6,715

6,933

7,145

7,417

7,616

11

5,201

5,459

5,785

6,021

6,250

6,541

6,753

6,959

7,224

7,418

12

5,089

5,341

5,659

5,890

6,113

6,397

6,605

6,807

7,066

7,256

13

4,995

5,242

5,554

5,780

5,999

6,278

6,481

6,679

6,933

7,120

14

4,916

5,158

5,464

5,687

5,902

6,176

6,376

6,571

6,820

7,004

15

4,848

5,086

5,387

5,606

5,818

6,088

6,285

6,477

6,723

6,904

16

4,788

5,023

5,320

5,536

5,745

6,011

6,206

6,395

6,638

6,816

17

4,736

4,968

5,261

5,474

5,680

5,944

6,136

6,323

6,563

6,739

18

4,690

4,918

5,208

5,419

5,623

5,883

6,074

6,259

6,496

6,671

19

4,648

4,875

5,162

5,370

5,572

5,830

6,018

6,201

6,437

6,610

20

4,611

4,835

5,119

5,326

5,526

5,781

5,968

6,150

6,383

6,554

25

4,470

4,685

4,958

5,157

5,350

5,596

5,776

5,951

6,176

6,342

30

4,375

4,584

4,850

5,043

5,230

5,470

5,645

5,816

6,035

6,197

35

4,307

4,512

4,771

4,960

5,144

5,378

5,550

5,718

5,933

6,091

40

4,256

4,456

4,711

4,897

5,078

5,308

5,477

5,642

5,854

6,009

45

4,216

4,413

4,664

4,847

5,025

5,253

5,420

5,582

5,791

5,945

50

4,183

4,378

4,626

4,807

4,983

5,208

5,373

5,533

5,740

5,892

60

4,134

4,325

4,568

4,746

4,918

5,139

5,300

5,458

5,661

5,811

70

4,099

4,287

4,526

4,701

4,870

5,088

5,247

5,403

5,603

5,750

80

4,072

4,258

4,494

4,666

4,834

5,049

5,207

5,360

5,558

5,704

90

4,051

4,235

4,468

4,639

4,805

5,018

5,174

5,326

5,522

5,667

100

4,034

4,216

4,448

4,617

4,782

4,993

5,148

5,299

5,493

5,636

150

3,983

4,160

4,385

4,550

4,710

4,915

5,065

5,212

5,401

5,541

200

3,957

4,131

4,353

4,515

4,672

4,874

5,022

5,167

5,353

5,490

250

3,941

4,114

4,334

4,494

4,649

4,849

4,995

5,138

5,322

5,458

300

3,931

4,103

4,321

4,480

4,634

4,832

4,977

5,119

5,301

5,436

350

3,924

4,094

4,311

4,469

4,623

4,820

4,964

5,105

5,286

5,420

400

3,918

4,088

4,304

4,462

4,614

4,810

4,954

5,094

5,275

5,408

450

3,914

4,083

4,298

4,455

4,608

4,803

4,946

5,086

5,266

5,398

500

3,910

4,079

4,294

4,451

4,603

4,797

4,940

5,079

5,258

5,390

600

3,905

4,073

4,287

4,443

4,595

4,788

4,930

5,069

5,247

5,379

700

3,901

4,069

4,283

4,438

4,589

4,782

4,924

5,062

5,239

5,370

800

3,898

4,066

4,279

4,434

4,585

4,777

4,918

5,056

5,233

5,364

900

3,896

4,064

4,276

4,431

4,581

4,773

4,914

5,052

5,228

5,359

1000

3,894

4,062

4,274

4,429

4,579

4,770

4,911

5,048

5,225

5,355

3,878

4,044

4,254

4,406

4,554

4,743

4,882

5,017

5,190

5,318

Примечание - В таблице приведены такие значения коэффициента , которые позволяют с уровнем доверия не менее 90% быть уверенным, что ни одно наблюдение из будущей выборки объема из нормальной совокупности не будет лежать вне интервала , где и определены по выборке размера из той же совокупности.