Six Sigma Tool Navigator: The Master Guide for Teams

Table C: Critical Values for the Distribution of F (Continued)

When: α = .01 (one-tailed test) α = .02 (two-tailed test)

Numerator Degrees of Freedom

V1

V2

1

2

3

4

5

6

7

8

9

10

Denominator Degrees of Freedom

1

4,052

5,000

5,403

5,625

5,764

5,859

5,928

5,982

6,022

6,056

2

98.50

99.00

99.17

99.25

99.30

99.33

99.36

99.37

99.39

99.40

3

34.12

30.82

29.46

28.71

28.24

27.91

27.67

27.49

27.35

27.23

4

21.20

18.00

16.69

15.98

15.52

15.51

14.98

14.80

14.66

14.55

5

16.26

13.27

12.06

11.39

10.97

10.67

10.46

10.29

10.16

10.05

6

13.75

10.92

9.78

9.15

8.75

8.47

8.26

8.10

7.98

7.87

7

12.25

9.55

8.45

7.85

7.46

7.19

6.99

6.84

6.72

6.62

8

11.26

8.65

7.59

7.01

6.63

6.37

6.18

6.03

5.91

5.81

9

10.56

8.02

6.99

6.42

6.06

5.80

5.61

5.47

5.35

5.26

10

10.04

7.56

6.55

5.99

5.64

5.39

5.20

5.06

4.94

4.85

11

9.65

7.21

6.22

5.67

5.32

5.07

4.89

4.74

4.63

4.54

12

9.33

6.93

5.95

5.41

5.06

4.82

4.64

4.50

4.39

4.30

13

9.07

6.70

5.74

5.21

4.86

4.62

4.44

4.30

4.19

4.10

14

8.86

6.51

5.56

5.04

4.69

4.46

4.28

4.14

4.03

3.94

15

8.68

6.36

5.42

4.89

4.56

4.32

4.14

4.00

3.89

3.80

16

8.53

6.23

5.29

4.77

4.44

4.20

4.03

3.89

3.78

3.69

17

8.40

6.11

5.18

4.67

4.34

4.10

3.93

3.79

3.68

3.59

18

8.29

6.01

5.09

4.58

4.25

4.01

3.84

3.71

3.60

3.51

19

8.18

5.93

5.01

4.50

4.17

3.94

3.77

3.63

3.52

3.43

20

8.10

5.85

4.94

4.43

4.10

3.87

3.70

3.56

3.46

3.37

21

8.02

5.78

4.87

4.37

4.04

3.81

3.64

3.51

3.40

3.31

22

7.95

5.72

4.82

4.31

3.99

3.76

3.59

3.45

3.35

3.26

23

7.88

5.66

4.76

4.26

3.94

3.71

3.54

3.41

3.30

3.21

24

7.82

5.61

4.72

4.22

3.90

3.67

3.50

3.36

3.26

3.17

25

7.77

5.57

4.68

4.18

3.85

3.63

3.46

3.32

3.22

3.13

26

7.72

5.53

4.64

4.14

3.82

3.59

3.42

3.29

3.18

3.09

27

7.68

5.49

4.60

4.11

3.78

3.56

3.39

3.26

3.15

3.06

28

7.64

5.45

4.57

4.07

3.75

3.53

3.36

3.23

3.12

3.03

29

7.60

5.42

4.54

4.04

3.73

3.50

3.33

3.20

3.09

3.00

30

7.56

5.39

4.51

4.02

3.70

3.47

3.30

3.17

3.07

2.98

40

7.31

5.18

4.31

3.83

3.51

3.29

3.12

2.99

2.89

2.80

50

7.17

5.06

4.20

3.72

3.41

3.19

3.02

2.89

2.79

2.70

60

7.08

4.98

4.13

3.65

3.34

3.12

2.95

2.82

2.72

2.63

70

7.01

4.92

4.07

3.60

3.29

3.07

2.91

2.78

2.67

2.59

80

6.96

4.88

4.04

3.56

3.26

3.04

2.87

2.74

2.64

2.55

90

6.92

4.85

4.01

3.54

3.23

3.01

2.84

2.72

2.61

2.52

100

6.90

4.82

3.98

3.51

3.21

2.99

2.82

2.69

2.59

2.50

110

6.87

4.80

3.97

3.50

3.19

2.97

2.81

2.68

2.57

2.49

120

6.85

4.79

3.95

3.48

3.17

2.96

2.79

2.66

2.56

2.47

6.63

4.61

3.78

3.32

3.02

2.80

2.64

2.51

2.41

2.32

Critical values computed by John Timko. Used by permission.

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