Appendix B: t Distribution Table (t Table)

df

Proportion (a) in One tail

.25

.20

.15

.10

.05

.025

.01

.005

.0005

Proportion (a) in Two tails combined

.50

.40

.30

.20

.10

.05

.02

.01

.001

1

1.000

1.376

1.963

3.078

6.314

12.706

31.821

63.657

636.578

2

0.816

1.061

1.386

1.886

2.920

4.303

6.965

9.925

31.600

3

0.765

1.978

1.250

1.638

2.353

3.182

4.541

5.841

12.924

4

0.741

1.941

1.190

1.533

2.132

2.776

3.747

4.604

8.610

5

0.727

0.920

1.156

1.476

2.015

2.571

3.365

4.032

6.869

6

0.718

0.906

1.134

1.440

1.943

2.447

3.143

3.707

5.959

7

0.711

0.896

1.119

1.415

1.895

2.365

2.998

3.499

5.408

8

0.706

0.889

1.108

1.397

1.860

2.306

2.896

3.355

5.041

9

0.703

0.883

1.100

1.383

1.833

2.262

2.821

3.250

4.781

10

0.700

0.879

1.093

1.372

1.812

2.228

2.764

3.169

4.587

11

0.697

0.876

1.088

1.363

1.796

2.201

2.718

3.106

4.437

12

0.695

0.873

1.083

1.356

1.782

2.179

2.681

3.055

4.318

13

0.694

0.870

1.079

1.350

1.771

2.160

2.650

3.012

4.221

14

0.692

0.868

1.076

1.345

1.761

2.145

2.624

2.977

4.140

15

0.691

0.866

1.074

1.341

1.753

2.131

2.602

2.947

4.073

16

0.690

0.865

1.071

1.337

1.746

2.120

2.583

2.921

4.015

17

0.689

0.863

1.069

1.333

1.740

2.110

2.567

2.898

3.965

18

0.688

0.862

1.067

1.330

1.734

2.101

2.552

2.878

2.922

19

0.688

0.861

1.066

1.328

1.729

2.093

2.539

2.861

3.883

20

0.687

0.860

1.064

1.325

1.725

2.086

2.528

2.845

3.850

21

0.686

0.859

1.063

1.323

1.721

2.080

2.518

2.831

3.819

22

0.686

0.858

1.061

1.321

1.717

2.074

2.508

2.819

3.792

23

0.685

0.858

1.060

1.319

1.714

2.069

2.500

2.807

3.768

24

0.685

0.857

1.059

1.318

1.711

2.064

2.492

2.797

3.745

25

0.684

0.856

1.058

1.316

1.708

2.060

2.485

2.787

3.725

26

0.684

0.856

1.058

1.315

1.706

2.056

2.479

2.779

3.707

27

0.684

0.855

1.057

1.314

1.703

2.052

2.473

2.771

3.689

28

0.683

0.855

1.056

1.313

1.701

2.048

2.467

2.763

3.674

29

0.683

0.854

1.055

1.311

1.699

2.045

2.462

2.756

3.660

30

0.683

0.854

1.055

1.310

1.697

2.042

2.457

2.750

3.646

40

0.681

0.851

1.050

1.303

1.684

2.021

2.423

2.704

3.551

60

0.679

0.848

1.045

1.296

1.671

2.000

2.390

2.660

3.460

120

0.677

0.845

1.041

1.289

1.658

1.980

2.358

2.617

3.373

0.674

0.842

1.036

1.282

1.645

1.960

2.326

2.576

3.290

Adapted from “Tabla t” by Jsmura/Wikimedia Commons, CC BY-SA 4.0.

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Introduction to Statistics in the Psychological Sciences by Linda R. Cote Ph.D.; Rupa G. Gordon Ph.D.; Chrislyn E. Randell Ph.D.; Judy Schmitt; and Helena Marvin is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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