Appendix C: Critical Values for F (F Table)

Stephanie D'Costa; Mireille Ukeye; Makenzie O'Neil; and Rebecca Anguiano

Note: The critical values in this table are for p = .05.

Table C.1. Critical Values for F (F Table)

df: Denominator (Within)

df: Numerator (Between)

 

1

2

3

4

5

6

7

8

9

10

11

12

14

16

20

1

161

200

216

225

230

234

237

239

241

242

243

244

245

246

248

2

18.51

19.00

19.16

19.25

19.30

19.33

19.36

19.37

19.38

19.39

19.40

19.41

19.42

19.43

19.44

3

10.13

9.55

9.28

9.12

9.01

8.94

8.88

8.84

8.81

8.78

8.76

8.74

8.71

8.69

8.66

4

7.71

6.94

6.59

6.39

6.26

6.16

6.09

6.04

6.00

5.96

5.93

5.91

5.87

5.84

5.80

5

6.61

5.79

5.41

5.19

5.05

4.95

4.88

4.82

4.78

4.74

4.70

4.68

4.64

4.60

4.56

6

5.99

5.14

4.76

4.53

4.39

4.28

4.21

4.15

4.10

4.06

4.03

4.00

3.96

3.92

3.87

7

5.59

4.74

4.35

4.12

3.97

3.87

3.79

3.73

3.68

3.63

3.60

3.57

3.52

3.49

3.44

8

5.32

4.46

4.07

3.84

3.69

3.58

3.50

3.44

3.39

3.34

3.31

3.28

3.23

3.20

3.15

9

5.12

4.26

3.86

3.63

3.48

3.37

3.29

3.23

3.18

3.13

3.10

3.07

3.02

2.98

2.93

10

4.96

4.10

3.71

3.48

3.33

3.22

3.14

3.07

3.02

2.97

2.94

2.91

2.86

2.82

2.77

11

4.84

3.98

3.59

3.36

3.20

3.09

3.01

2.95

2.90

2.86

2.82

2.79

2.74

2.70

2.65

12

4.75

3.88

3.49

3.26

3.11

3.00

2.92

2.85

2.80

2.76

2.72

2.69

2.64

2.60

2.54

13

4.67

3.80

3.41

3.18

3.02

2.92

2.84

2.77

2.72

2.67

2.63

2.60

2.55

2.51

2.46

14

4.60

3.74

3.34

3.11

2.96

2.85

2.77

2.70

2.65

2.60

2.56

2.53

2.48

2.44

2.39

15

4.54

3.68

3.29

3.06

2.90

2.79

2.70

2.64

2.59

2.55

2.51

2.48

2.43

2.39

2.33

16

4.49

3.63

3.24

3.01

2.85

2.74

2.66

2.59

2.54

2.49

2.45

2.42

2.37

2.33

2.28

17

4.45

3.59

3.20

2.96

2.81

2.70

2.62

2.55

2.50

2.45

2.41

2.38

2.33

2.29

2.23

18

4.41

3.55

3.16

2.93

2.77

2.66

2.58

2.51

2.46

2.41

2.37

2.34

2.29

2.25

2.19

19

4.38

3.52

3.13

2.90

2.74

2.63

2.55

2.48

2.43

2.38

2.34

2.31

2.26

2.21

2.15

20

4.35

3.49

3.10

2.87

2.71

2.60

2.52

2.45

2.40

2.35

2.31

2.28

2.23

2.18

2.12

21

4.32

3.47

3.07

2.84

2.68

2.57

2.49

2.42

2.37

2.32

2.28

2.25

2.20

2.15

2.09

22

4.30

3.44

3.05

2.82

2.66

2.55

2.47

2.40

2.35

2.30

2.26

2.23

2.18

2.13

2.07

23

4.28

3.42

3.03

2.80

2.64

2.53

2.45

2.38

2.32

2.28

2.24

2.20

2.14

2.10

2.04

24

4.26

3.40

3.01

2.78

2.62

2.51

2.43

2.36

2.30

2.26

2.22

2.18

2.13

2.09

2.02

25

4.24

3.38

2.99

2.76

2.60

2.49

2.41

2.34

2.28

2.24

2.20

2.15

2.11

2.06

2.00

26

4.22

3.37

2.98

2.74

2.59

2.47

2.39

2.32

2.27

2.22

2.18

2.15

2.10

2.05

1.99

27

4.21

3.35

2.96

2.73

2.57

2.46

2.37

2.30

2.25

2.20

2.16

2.13

2.08

2.03

1.97

28

4.20

3.34

2.95

2.71

2.56

2.44

2.36

2.29

2.24

2.19

2.15

2.12

2.06

2.02

1.96

29

4.18

3.33

2.93

2.70

2.54

2.43

2.35

2.28

2.22

2.18

2.14

2.10

2.05

2.00

1.94

30

4.17

3.32

2.92

2.69

2.53

2.42

2.34

2.27

2.21

2.16

2.12

2.09

2.04

1.99

1.93

32

4.15

3.30

2.90

2.67

2.51

2.40

2.32

2.25

2.19

2.14

2.10

2.07

2.02

1.97

1.91

34

4.13

3.28

2.88

2.65

2.49

2.38

2.30

2.23

2.17

2.12

2.08

2.05

2.00

1.95

1.89

36

4.11

3.26

2.86

2.63

2.48

2.36

2.28

2.21

2.15

2.10

2.06

2.03

1.98

1.93

1.87

38

4.10

3.25

2.85

2.62

2.46

2.35

2.26

2.19

2.14

2.09

2.05

2.02

1.96

1.92

1.85

40

4.08

3.23

2.84

2.61

2.45

2.34

2.25

2.18

2.12

2.07

2.04

2.00

1.95

1.90

1.84

42

4.07

3.22

2.83

2.59

2.44

2.32

2.24

2.17

2.11

2.06

2.02

1.99

1.94

1.89

1.82

44

4.06

3.21

2.82

2.58

2.43

2.31

2.23

2.16

2.10

2.05

2.01

1.98

1.92

1.88

1.81

46

4.05

3.20

2.81

2.57

2.42

2.30

2.22

2.14

2.09

2.04

2.00

1.97

1.91

1.87

1.80

48

4.04

3.19

2.80

2.56

2.41

2.30

2.21

2.14

2.08

2.03

1.99

1.96

1.90

1.86

1.79

50

4.03

3.18

2.79

2.56

2.40

2.29

2.20

2.13

2.07

2.02

1.98

1.95

1.90

1.85

1.78

55

4.02

3.17

2.78

2.54

2.38

2.27

2.18

2.11

2.05

2.00

1.97

1.93

1.88

1.83

1.76

60

4.00

3.15

2.76

2.52

2.37

2.25

2.17

2.10

2.04

1.99

1.95

1.92

1.86

1.81

1.75

65

3.99

3.14

2.75

2.51

2.36

2.24

2.15

2.08

2.02

1.98

1.94

1.90

1.85

1.80

1.73

70

3.98

3.13

2.74

2.50

2.35

2.23

2.14

2.07

2.01

1.97

1.93

1.89

1.84

1.79

1.72

80

3.96

3.11

2.72

2.48

2.33

2.21

2.12

2.05

1.99

1.95

1.91

1.88

1.82

1.77

1.70

100

3.94

3.09

2.70

2.46

2.30

2.19

2.10

2.03

1.97

1.92

1.88

1.85

1.79

1.75

1.68

125

3.92

3.07

2.68

2.44

2.29

2.17

2.08

2.01

1.95

1.90

1.86

1.83

1.77

1.72

1.65

150

3.91

3.06

2.67

2.43

2.27

2.16

2.07

2.00

1.94

1.89

1.85

1.82

1.76

1.71

1.64

200

3.89

3.04

2.65

2.41

2.26

2.14

2.05

1.98

1.92

1.87

1.83

1.80

1.74

1.69

1.62

400

3.86

3.02

2.62

2.39

2.23

2.12

2.03

1.96

1.90

1.85

1.81

1.78

1.72

1.67

1.60

1,000

3.85

3.00

2.61

2.38

2.22

2.10

2.02

1.95

1.89

1.84

1.80

1.76

1.70

1.65

1.58

∞

3.84

2.99

2.60

2.37

2.21

2.09

2.01

1.94

1.88

1.83

1.79

1.75

1.69

1.64

1.57

License & Attribution

“Appendix C: Critical Values for F (F Table)” is pulled from “Appendix C: Critical Values for F (F Table)” by Linda R. Cote Ph.D.; Rupa G. Gordon Ph.D., Chrislyn E. Randell Ph.D., Judy Schmitt, and Helena Marvin, which is licensed CC BY-NC-SA 4.0.

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Critical Research Methods in Psychology Copyright © 2025 by Stephanie D'Costa; Mireille Ukeye; Makenzie O'Neil; and Rebecca Anguiano is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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