Appendix 3. F distribution (5%)
This table gives values for which the percentage of the F distribution in the title is above the tabulated value of F for v1 (numerator degrees of freedom) and v2 (denominator degrees of freedom) attached to the F-ratio.
|
Degree of freedom (v1) |
|||||||||||
|
Degree of freedom (v2) |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
10 |
12 |
24 |
|
2 |
18.5 |
19.0 |
19.2 |
19.2 |
9.3 |
19.3 |
19.4 |
19.4 |
19.4 |
19.4 |
19.5 |
|
3 |
10.1 |
9.55 |
9.28 |
9.12 |
9.01 |
8.94 |
8.89 |
8.85 |
8.79 |
8.74 |
8.64 |
|
4 |
7.71 |
6.94 |
6.59 |
6.39 |
6.26 |
6.16 |
6.09 |
6.04 |
5.96 |
5.91 |
5.77 |
|
5 |
6.61 |
5.79 |
5.41 |
5.19 |
5.05 |
4.95 |
4.88 |
4.82 |
4.74 |
4.68 |
4.53 |
|
6 |
5.99 |
5.14 |
4.76 |
4.53 |
4.39 |
4.28 |
4.21 |
4.15 |
4.06 |
4.00 |
3.84 |
|
7 |
5.59 |
4.74 |
4.35 |
4.12 |
3.97 |
3.87 |
3.79 |
3.73 |
3.64 |
3.57 |
3.41 |
|
8 |
5.32 |
4.46 |
4.07 |
3.84 |
3.69 |
3.58 |
3.50 |
3.44 |
3.35 |
3.28 |
3.12 |
|
9 |
5.12 |
4.26 |
3.86 |
3.63 |
3.48 |
3.37 |
3.29 |
3.23 |
3.14 |
3.07 |
2.90 |
|
10 |
4.96 |
4.10 |
3.71 |
3.48 |
3.33 |
3.22 |
3.14 |
3.07 |
2.98 |
2.91 |
2.74 |
|
11 |
4.84 |
3.98 |
3.59 |
3.36 |
3.20 |
3.09 |
3.01 |
2.95 |
2.85 |
2.79 |
2.61 |
|
12 |
4.75 |
3.88 |
3.49 |
3.26 |
3.11 |
3.00 |
2.91 |
2.85 |
2.75 |
2.69 |
2.51 |
|
13 |
4.67 |
3.81 |
3.41 |
3.18 |
3.03 |
2.92 |
2.83 |
2.77 |
2.67 |
2.60 |
2.42 |
|
14 |
4.60 |
3.74 |
3.34 |
3.11 |
2.96 |
2.85 |
2.76 |
2.70 |
2.60 |
2.53 |
2.35 |
|
15 |
4.54 |
3.68 |
3.29 |
3.06 |
2.90 |
2.79 |
2.71 |
2.64 |
2.54 |
2.48 |
2.29 |
|
16 |
4.49 |
3.63 |
3.24 |
3.01 |
2.85 |
2.74 |
2.66 |
2.59 |
2.49 |
2.42 |
2.24 |
|
17 |
4.45 |
3.59 |
3.20 |
2.96 |
2.81 |
2.70 |
2.61 |
2.55 |
2.45 |
2.38 |
2.19 |
|
18 |
4.41 |
3.55 |
3.16 |
2.93 |
2.77 |
3.66 |
2.58 |
2.51 |
2.41 |
2.34 |
2.15 |
|
19 |
4.38 |
3.52 |
3.13 |
2.90 |
2.74 |
2.63 |
2.54 |
2.48 |
2.38 |
2.31 |
2.11 |
|
20 |
4.35 |
3.49 |
3.10 |
2.87 |
2.71 |
2.60 |
2.51 |
2.45 |
2.35 |
2.28 |
2.08 |
|
22 |
4.30 |
3.44 |
3.05 |
2.82 |
2.66 |
2.55 |
2.46 |
2.40 |
2.30 |
2.23 |
2.03 |
|
24 |
4.26 |
3.40 |
3.01 |
2.78 |
2.62 |
2.51 |
2.42 |
2.36 |
2.25 |
2.18 |
1.98 |
|
26 |
4.23 |
3.37 |
2.98 |
2.74 |
2.59 |
2.47 |
2.39 |
2.32 |
2.22 |
2.15 |
1.95 |
|
28 |
4.20 |
3.34 |
2.95 |
2.71 |
2.56 |
2.45 |
2.36 |
2.29 |
2.19 |
2.12 |
1.91 |
|
30 |
4.17 |
3.32 |
2.92 |
2.69 |
2.53 |
2.42 |
2.33 |
2.27 |
2.16 |
2.09 |
1.89 |
|
35 |
4.12 |
3.27 |
2.87 |
2.64 |
2.49 |
2.37 |
2.29 |
2.22 |
2.11 |
2.04 |
1.83 |
|
40 |
4.08 |
3.23 |
2.84 |
2.61 |
2.45 |
2.34 |
2.25 |
2.18 |
2.08 |
2.00 |
1.79 |
|
45 |
4.06 |
3.20 |
2.81 |
2.58 |
2.42 |
2.31 |
2.22 |
2.15 |
2.05 |
1.97 |
1.76 |
|
50 |
4.03 |
3.18 |
2.79 |
2.56 |
2.40 |
2.29 |
2.20 |
2.13 |
2.03 |
1.95 |
1.74 |
|
55 |
4.02 |
3.16 |
2.77 |
2.54 |
2.38 |
2.27 |
2.18 |
2.11 |
2.01 |
1.93 |
1.72 |
|
60 |
4.00 |
3.15 |
2.76 |
2.53 |
2.37 |
2.25 |
2.17 |
2.10 |
1.99 |
1.92 |
1.70 |
