Chi Squared table

 

Chi Square

The numbers in the table represent the values of the χ2χ2 statistics. Areas of the shaded region (A) are the column indexes. You can also use the Chi-Square Distribution to compute critical and p values exactly.

df

A=0.005

0.010

0.025

0.05

0.10

0.25

0.50

0.75

0.90

0.95

0.975

0.99

0.995

1

0.000039

0.00016

0.00098

0.0039

0.0158

0.102

0.455

1.32

2.71

3.84

5.02

6.63

7.88

2

0.0100

0.0201

0.0506

0.103

0.211

0.575

1.39

2.77

4.61

5.99

7.38

9.21

10.6

3

0.0717

0.115

0.216

0.352

0.584

1.21

2.37

4.11

6.25

7.81

9.35

11.3

12.8

4

0.207

0.297

0.484

0.711

1.06

1.92

3.36

5.39

7.78

9.49

11.1

13.3

14.9

5

0.412

0.554

0.831

1.15

1.61

2.67

4.35

6.63

9.24

11.1

12.8

15.1

16.7

6

0.676

0.872

1.24

1.64

2.20

3.45

5.35

7.84

10.6

12.6

14.4

16.8

18.5

7

0.989

1.24

1.69

2.17

2.83

4.25

6.35

9.04

12.0

14.1

16.0

18.5

20.3

8

1.34

1.65

2.18

2.73

3.49

5.07

7.34

10.2

13.4

15.5

17.5

20.1

22.0

9

1.73

2.09

2.70

3.33

4.17

5.9

8.34

11.4

14.7

16.9

19.0

21.7

23.6

10

2.16

2.56

3.25

3.94

4.87

6.74

9.34

12.5

16.0

18.3

20.5

23.2

25.2

11

2.60

3.05

3.82

4.57

5.58

7.58

10.3

13.7

17.3

19.7

21.9

24.7

26.8

12

3.07

3.57

4.40

5.23

6.30

8.44

11.3

14.8

18.5

21.0

23.3

26.2

28.3

13

3.57

4.11

5.01

5.89

7.04

9.3

12.3

16.0

19.8

22.4

24.7

27.7

29.8

14

4.07

4.66

5.63

6.57

7.79

10.2

13.3

17.1

21.1

23.7

26.1

29.1

31.3

15

4.60

5.23

6.26

7.26

8.55

11.0

14.3

18.2

22.3

25.0

27.5

30.6

32.8

16

5.14

5.81

6.91

7.96

9.31

11.9

15.3

19.4

23.5

26.3

28.8

32.0

34.3

17

5.70

6.41

7.56

8.67

10.1

12.8

16.3

20.5

24.8

27.6

30.2

33.4

35.7

18

6.26

7.01

8.23

9.39

10.9

13.7

17.3

21.6

26.0

28.9

31.5

34.8

37.2

19

6.84

7.63

8.91

10.1

11.7

14.6

18.3

22.7

27.2

30.1

32.9

36.2

38.6

20

7.43

8.26

9.59

10.9

12.4

15.5

19.3

23.8

28.4

31.4

34.2

37.6

40.0

21

8.03

8.90

10.3

11.6

13.2

16.3

20.3

24.9

29.6

32.7

35.5

38.9

41.4

22

8.64

9.54

11.0

12.3

14.0

17.2

21.3

26.0

30.8

33.9

36.8

40.3

42.8

23

9.26

10.2

11.7

13.1

14.8

18.1

22.3

27.1

32.0

35.2

38.1

41.6

44.2

24

9.89

10.9

12.4

13.8

15.7

19.0

23.3

28.2

33.2

36.4

39.4

43.0

45.6

25

10.5

11.5

13.1

14.6

16.5

19.9

24.3

29.3

34.4

37.7

40.6

44.3

46.9

26

11.2

12.2

13.8

15.4

17.3

20.8

25.3

30.4

35.6

38.9

41.9

45.6

48.3

27

11.8

12.9

14.6

16.2

18.1

21.7

26.3

31.5

36.7

40.1

43.2

47.0

49.6

28

12.5

13.6

15.3

16.9

18.9

22.7

27.3

32.6

37.9

41.3

44.5

48.3

51.0

29

13.1

14.3

16.0

17.7

19.8

23.6

28.3

33.7

39.1

42.6

45.7

49.6

52.3

30

13.8

15.0

16.8

18.5

20.6

24.5

29.3

34.8

40.3

43.8

47.0

50.9

53.7

31

14.5

15.7

17.5

19.3

21.4

25.4

30.3

35.9

41.4

45.0

48.2

52.2

55.0

32

15.1

16.4

18.3

20.1

22.3

26.3

31.3

37.0

42.6

46.2

49.5

53.5

56.3

33

15.8

17.1

19.0

20.9

23.1

27.2

32.3

38.1

43.7

47.4

50.7

54.8

57.6

34

16.5

17.8

19.8

21.7

24.0

28.1

33.3

39.1

44.9

48.6

52.0

56.1

59.0

35

17.2

18.5

20.6

22.5

24.8

29.1

34.3

40.2

46.1

49.8

53.2

57.3

60.3

36

17.9

19.2

21.3

23.3

25.6

30.0

35.3

41.3

47.2

51.0

54.4

58.6

61.6

37

18.6

20.0

22.1

24.1

26.5

30.9

36.3

42.4

48.4

52.2

55.7

59.9

62.9

38

19.3

20.7

22.9

24.9

27.3

31.8

37.3

43.5

49.5

53.4

56.9

61.2

64.2

39

20.0

21.4

23.7

25.7

28.2

32.7

38.3

44.5

50.7

54.6

58.1

62.4

65.5

40

20.7

22.2

24.4

26.5

29.1

33.7

39.3

45.6

51.8

55.8

59.3

63.7

66.8

41

21.4

22.9

25.2

27.3

29.9

34.6

40.3

46.7

52.9

56.9

60.6

65.0

68.1

42

22.1

23.7

26.0

28.1

30.8

35.5

41.3

47.8

54.1

58.1

61.8

66.2

69.3

43

22.9

24.4

26.8

29.0

31.6

36.4

42.3

48.8

55.2

59.3

63.0

67.5

70.6

44

23.6

25.1

27.6

29.8

32.5

37.4

43.3

49.9

56.4

60.5

64.2

68.7

71.9

45

24.3

25.9

28.4

30.6

33.4

38.3

44.3

51.0

57.5

61.7

65.4

70.0

73.2

df

A=0.005

0.010

0.025

0.05

0.10

0.25

0.50

0.75

0.90

0.95

0.975

0.99

0.995