显著水平

0.5

0.25

0.1

0.05

0.01

0.005

0.001

自由度

1

0.455

1.323

2.706

3.841

6.635

7.879

10.828

2

1.386

2.773

4.605

5.991

9.21

10.597

13.816

3

2.366

4.108

6.251

7.815

11.345

12.838

16.266

4

3.357

5.385

7.779

9.488

13.277

14.86

18.467

5

4.351

6.626

9.236

11.07

15.086

16.75

20.515

6

5.348

7.841

10.645

12.592

16.812

18.548

22.458

7

6.346

9.037

12.017

14.067

18.475

20.278

24.322

8

7.344

10.219

13.362

15.507

20.09

21.955

26.124

9

8.343

11.389

14.684

16.919

21.666

23.589

27.877

10

9.342

12.549

15.987

18.307

23.209

25.188

29.588

11

10.341

13.701

17.275

19.675

24.725

26.757

31.264

12

11.34

14.845

18.549

21.026

26.217

28.3

32.909

13

12.34

15.984

19.812

22.362

27.688

29.819

34.528

14

13.339

17.117

21.064

23.685

29.141

31.319

36.123

15

14.339

18.245

22.307

24.996

30.578

32.801

37.697

16

15.338

19.369

23.542

26.296

32

34.267

39.252

17

16.338

20.489

24.769

27.587

33.409

35.718

40.79

18

17.338

21.605

25.989

28.869

34.805

37.156

42.312

19

18.338

22.718

27.204

30.144

36.191

38.582

43.82

20

19.337

23.828

28.412

31.41

37.566

39.997

45.315

21

20.337

24.935

29.615

32.671

38.932

41.401

46.797

22

21.337

26.039

30.813

33.924

40.289

42.796

48.268

23

22.337

27.141

32.007

35.172

41.638

44.181

49.728

24

23.337

28.241

33.196

36.415

42.98

45.559

51.179

25

24.337

29.339

34.382

37.652

44.314

46.928

52.62

26

25.336

30.435

35.563

38.885

45.642

48.29

54.052

27

26.336

31.528

36.741

40.113

46.963

49.645

55.476

28

27.336

32.62

37.916

41.337

48.278

50.993

56.892

29

28.336

33.711

39.087

42.557

49.588

52.336

58.301

30

29.336

34.8

40.256

43.773

50.892

53.672

59.703

31

30.336

35.887

41.422

44.985

52.191

55.003

61.098

32

31.336

36.973

42.585

46.194

53.486

56.328

62.487

33

32.336

38.058

43.745

47.4

54.776

57.648

63.87

34

33.336

39.141

44.903

48.602

56.061

58.964

65.247

35

34.336

40.223

46.059

49.802

57.342

60.275

66.619

36

35.336

41.304

47.212

50.998

58.619

61.581

67.985

37

36.336

42.383

48.363

52.192

59.893

62.883

69.346

38

37.335

43.462

49.513

53.384

61.162

64.181

70.703

39

38.335

44.539

50.66

54.572

62.428

65.476

72.055

40

39.335

45.616

51.805

55.758

63.691

66.766

73.402

41

40.335

46.692

52.949

56.942

64.95

68.053

74.745

42

41.335

47.766

54.09

58.124

66.206

69.336

76.084

43

42.335

48.84

55.23

59.304

67.459

70.616

77.419

44

43.335

49.913

56.369

60.481

68.71

71.893

78.75