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工程师表格/学生 T 分布

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临界值表，t_α,ν，在具有 ν 自由度和置信度限制 p 的学生 T 分布中，其中 α=1-p.

ν

单尾检验的置信度限制（顶部）和α（底部）。

60%

75%

80%

85%

90%

95%

97.5%

98%

99%

99.5%

99.75%

99.9%

99.95%

0.4

0.25

0.2

0.15

0.1

0.05

0.025

0.02

0.01

0.005

0.0025

0.001

0.0005

1

0.32492

1.00000

1.37638

1.96261

3.07768

6.31375

12.70620

15.89454

31.82052

63.65674

127.32134

318.30884

636.61925

2

0.28868

0.81650

1.06066

1.38621

1.88562

2.91999

4.30265

4.84873

6.96456

9.92484

14.08905

22.32712

31.59905

3

0.27667

0.76489

0.97847

1.24978

1.63774

2.35336

3.18245

3.48191

4.54070

5.84091

7.45332

10.21453

12.92398

4

0.27072

0.74070

0.94096

1.18957

1.53321

2.13185

2.77645

2.99853

3.74695

4.60409

5.59757

7.17318

8.61030

5

0.26718

0.72669

0.91954

1.15577

1.47588

2.01505

2.57058

2.75651

3.36493

4.03214

4.77334

5.89343

6.86883

6

0.26483

0.71756

0.90570

1.13416

1.43976

1.94318

2.44691

2.61224

3.14267

3.70743

4.31683

5.20763

5.95882

7

0.26317

0.71114

0.89603

1.11916

1.41492

1.89458

2.36462

2.51675

2.99795

3.49948

4.02934

4.78529

5.40788

8

0.26192

0.70639

0.88889

1.10815

1.39682

1.85955

2.30600

2.44898

2.89646

3.35539

3.83252

4.50079

5.04131

9

0.26096

0.70272

0.88340

1.09972

1.38303

1.83311

2.26216

2.39844

2.82144

3.24984

3.68966

4.29681

4.78091

10

0.26018

0.69981

0.87906

1.09306

1.37218

1.81246

2.22814

2.35931

2.76377

3.16927

3.58141

4.14370

4.58689

11

0.25956

0.69745

0.87553

1.08767

1.36343

1.79588

2.20099

2.32814

2.71808

3.10581

3.49661

4.02470

4.43698

12

0.25903

0.69548

0.87261

1.08321

1.35622

1.78229

2.17881

2.30272

2.68100

3.05454

3.42844

3.92963

4.31779

13

0.25859

0.69383

0.87015

1.07947

1.35017

1.77093

2.16037

2.28160

2.65031

3.01228

3.37247

3.85198

4.22083

14

0.25821

0.69242

0.86805

1.07628

1.34503

1.76131

2.14479

2.26378

2.62449

2.97684

3.32570

3.78739

4.14045

15

0.25789

0.69120

0.86624

1.07353

1.34061

1.75305

2.13145

2.24854

2.60248

2.94671

3.28604

3.73283

4.07277

16

0.25760

0.69013

0.86467

1.07114

1.33676

1.74588

2.11991

2.23536

2.58349

2.92078

3.25199

3.68615

4.01500

17

0.25735

0.68920

0.86328

1.06903

1.33338

1.73961

2.10982

2.22385

2.56693

2.89823

3.22245

3.64577

3.96513

18

0.25712

0.68836

0.86205

1.06717

1.33039

1.73406

2.10092

2.21370

2.55238

2.87844

3.19657

3.61048

3.92165

19

0.25692

0.68762

0.86095

1.06551

1.32773

1.72913

2.09302

2.20470

2.53948

2.86093

3.17372

3.57940

3.88341

20

0.25674

0.68695

0.85996

1.06402

1.32534

1.72472

2.08596

2.19666

2.52798

2.84534

3.15340

3.55181

3.84952

21

0.25658

0.68635

0.85907

1.06267

1.32319

1.72074

2.07961

2.18943

2.51765

2.83136

3.13521

3.52715

3.81928

22

0.25643

0.68581

0.85827

1.06145

1.32124

1.71714

2.07387

2.18289

2.50832

2.81876

3.11882

3.50499

3.79213

23

0.25630

0.68531

0.85753

1.06034

1.31946

1.71387

2.06866

2.17696

2.49987

2.80734

3.10400

3.48496

3.76763

24

0.25617

0.68485

0.85686

1.05932

1.31784

1.71088

2.06390

2.17154

2.49216

2.79694

3.09051

3.46678

3.74540

25

0.25606

0.68443

0.85624

1.05838

1.31635

1.70814

2.05954

2.16659

2.48511

2.78744

3.07820

3.45019

3.72514

26

0.25595

0.68404

0.85567

1.05752

1.31497

1.70562

2.05553

2.16203

2.47863

2.77871

3.06691

3.43500

3.70661

27

0.25586

0.68368

0.85514

1.05673

1.31370

1.70329

2.05183

2.15782

2.47266

2.77068

3.05652

3.42103

3.68959

28

0.25577

0.68335

0.85465

1.05599

1.31253

1.70113

2.04841

2.15393

2.46714

2.76326

3.04693

3.40816

3.67391

29

0.25568

0.68304

0.85419

1.05530

1.31143

1.69913

2.04523

2.15033

2.46202

2.75639

3.03805

3.39624

3.65941

30

0.25561

0.68276

0.85377

1.05466

1.31042

1.69726

2.04227

2.14697

2.45726

2.75000

3.02980

3.38518

3.64596

40

0.25504

0.68067

0.85070

1.05005

1.30308

1.68385

2.02108

2.12291

2.42326

2.70446

2.97117

3.30688

3.55097

50

0.25470

0.67943

0.84887

1.04729

1.29871

1.67591

2.00856

2.10872

2.40327

2.67779

2.93696

3.26141

3.49601

60

0.25447

0.67860

0.84765

1.04547

1.29582

1.67065

2.00030

2.09936

2.39012

2.66028

2.91455

3.23171

3.46020

70

0.25431

0.67801

0.84679

1.04417

1.29376

1.66691

1.99444

2.09273

2.38081

2.64790

2.89873

3.21079

3.43501

80

0.25419

0.67757

0.84614

1.04320

1.29222

1.66412

1.99006

2.08778

2.37387

2.63869

2.88697

3.19526

3.41634

90

0.25410

0.67723

0.84563

1.04244

1.29103

1.66196

1.98667

2.08394

2.36850

2.63157

2.87788

3.18327

3.40194

100

0.25402

0.67695

0.84523

1.04184

1.29007

1.66023

1.98397

2.08088

2.36422

2.62589

2.87065

3.17374

3.39049

500

0.25348

0.67498

0.84234

1.03751

1.28325

1.64791

1.96472

2.05912

2.33383

2.58570

2.81955

3.10661

3.31009

1000

0.25341

0.67474

0.84198

1.03697

1.28240

1.64638

1.96234

2.05643

2.33008

2.58075

2.81328

3.09840

3.30028

∞

0.25335

0.67449

0.84162

1.03643

1.28155

1.64485

1.95996

2.05375

2.32635

2.57583

2.80703

3.09023

3.29053

说明性注释

对于双尾检验，使用此处对应的 α，该 α 对应于双尾 α 的一半。
- 例如，如果需要双尾 90% 信心度限制（α=0.1），请从该表中使用单尾 α，为 0.05
在极限 ν=∞ 中，此分布等效于正态分布 X~N(0,1)

取自 “https://wikibooks.cn/w/index.php?title=工程_表格/学生_T_分布&oldid=3232803”

书籍：工程表格

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