F值表(方差分析用)
互联网
18497
P=0.01
n� 2 | n' 2 (较大均方的自由度) | n� 2 | ||||||||||||||
22 | 24 | 26 | 28 | 30 | 35 | 40 | 45 | 50 | 60 | 80 | 100 | 200 | 500 | ∞ | ||
1 | 6220 | 6234 | 6240 | 6250 | 6258 | 6280 | 6286 | 6300 | 6302 | 6310 | 6334 | 6330 | 6352 | 6361 | 6366 | 1 |
2 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 2 |
3 | 26.6 | 26.6 | 26.6 | 26.5 | 26.5 | 26.5 | 26.4 | 26.4 | 26.4 | 26.3 | 26.3 | 26.2 | 26.2 | 26.1 | 26.1 | 3 |
4 | 14.0 | 13.9 | 13.9 | 13.9 | 13.8 | 13.8 | 13.7 | 13.7 | 13.7 | 13.7 | 13.6 | 13.6 | 13.5 | 13.5 | 13.5 | 4 |
5 | 9.51 | 9.47 | 9.43 | 9.40 | 9.38 | 9.33 | 9.29 | 9.26 | 9.24 | 9.20 | 9.16 | 9.13 | 9.08 | 9.04 | 9.02 | 5 |
6 | 7.35 | 7.31 | 7.28 | 7.25 | 7.23 | 7.18 | 7.14 | 7.11 | 7.09 | 7.06 | 7.01 | 6.99 | 6.93 | 6.90 | 6.88 | 6 |
7 | 6.11 | 6.07 | 6.04 | 6.02 | 5.99 | 5.94 | 5.91 | 5.88 | 5.86 | 5.82 | 5.78 | 5.75 | 5.70 | 5.67 | 5.65 | 7 |
8 | 5.32 | 5.28 | 5.25 | 5.22 | 5.20 | 5.15 | 5.12 | 5.00 | 5.07 | 5.03 | 4.99 | 4.96 | 4.91 | 4.88 | 4.86 | 8 |
9 | 4.77 | 4.73 | 4.70 | 4.67 | 4.65 | 4.60 | 4.57 | 4.54 | 4.52 | 4.48 | 4.44 | 4.42 | 4.36 | 4.33 | 4.31 | 9 |
10 | 4.36 | 4.33 | 4.30 | 4.27 | 4.25 | 4.20 | 4.17 | 4.14 | 4.12 | 4.08 | 4.04 | 4.01 | 3.96 | 3.93 | 3.91 | 10 |
11 | 4.06 | 4.02 | 5.99 | 3.96 | 3.94 | 3.89 | 3.86 | 3.83 | 3.81 | 3.78 | 3.73 | 3.71 | 3.66 | 3.62 | 3.60 | 11 |
12 | 3.82 | 3.78 | 3.75 | 3.72 | 3.70 | 3.65 | 3.62 | 3.59 | 3.57 | 3.54 | 3.49 | 3.47 | 3.41 | 3.38 | 3.36 | 12 |
13 | 3.62 | 3.59 | 3.56 | 3.53 | 3.51 | 3.46 | 3.43 | 3.40 | 3.38 | 3.34 | 3.30 | 3.27 | 3.22 | 3.19 | 3.17 | 13 |
14 | 3.46 | 3.43 | 2.40 | 3.37 | 3.35 | 3.30 | 3.27 | 3.24 | 3.22 | 3.18 | 3.14 | 3.11 | 3.06 | 3.03 | 3.00 | 14 |
15 | 3.33 | 3.29 | 3.26 | 3.24 | 3.21 | 3.17 | 3.13 | 3.10 | 3.08 | 3.05 | 3.00 | 2.98 | 2.92 | 2.89 | 2.87 | 15 |
16 | 3.22 | 3.18 | 3.15 | 3.12 | 3.10 | 3.05 | 3.02 | 2.99 | 2.97 | 2.93 | 2.89 | 2.86 | 2.81 | 2.78 | 2.75 | 16 |
17 | 3.12 | 3.08 | 3.05 | 3.03 | 3.00 | 2.96 | 2.92 | 2.89 | 2.87 | 2.83 | 2.79 | 2.76 | 2.71 | 2.68 | 2.65 | 17 |
18 | 3.03 | 3.00 | 2.97 | 2.94 | 2.92 | 2.87 | 2.84 | 2.81 | 2.78 | 2.75 | 2.70 | 2.68 | 2.62 | 2.59 | 2.57 | 18 |
19 | 2.96 | 2.92 | 2.89 | 2.87 | 2.84 | 2.80 | 2.76 | 2.73 | 2.71 | 2.67 | 2.63 | 2.60 | 2.55 | 2.51 | 2.49 | 19 |
20 | 2.90 | 2.86 | 2.83 | 2.80 | 2.78 | 2.73 | 2.69 | 2.67 | 2.64 | 2.61 | 2.56 | 2.54 | 2.48 | 2.44 | 2.42 | 20 |
21 | 2.84 | 2.80 | 2.77 | 2.74 | 2.72 | 2.67 | 2.64 | 2.61 | 2.58 | 2.55 | 2.50 | 2.48 | 2.42 | 2.38 | 2.36 | 21 |
22 | 2.78 | 2.75 | 2.72 | 2.69 | 2.67 | 2.62 | 2.58 | 2.55 | 2.53 | 2.50 | 2.45 | 2.42 | 2.36 | 2.33 | 2.31 | 22 |
23 | 2.74 | 2.70 | 2.67 | 2.64 | 2.62 | 2.57 | 2.54 | 2.51 | 2.48 | 2.45 | 2.40 | 2.37 | 2.32 | 2.28 | 2.26 | 23 |
24 | 2.70 | 2.66 | 2.63 | 2.60 | 2.58 | 2.53 | 2.49 | 2.46 | 2.44 | 2.40 | 2.36 | 2.33 | 2.27 | 2.24 | 2.21 | 24 |
25 | 2.66 | 2.62 | 2.59 | 2.56 | 2.54 | 2.49 | 2.45 | 2.42 | 2.40 | 2.36 | 2.32 | 2.29 | 2.23 | 2.19 | 2.17 | 25 |
26 | 2.62 | 2.58 | 2.55 | 2.53 | 2.50 | 2.45 | 2.42 | 2.39 | 2.36 | 2.33 | 2.28 | 2.25 | 2.19 | 2.16 | 2.13 | 26 |
27 | 2.59 | 2.55 | 2.52 | 2.49 | 2.47 | 2.42 | 2.38 | 2.35 | 2.33 | 2.29 | 2.25 | 2.22 | 2.16 | 2.12 | 2.10 | 27 |
28 | 2.56 | 2.52 | 2.49 | 2.46 | 2.44 | 2.39 | 2.35 | 2.32 | 2.30 | 2.26 | 2.22 | 2.19 | 2.13 | 2.09 | 2.06 | 28 |
29 | 2.53 | 2.49 | 2.46 | 2.44 | 2.41 | 2.36 | 2.33 | 2.30 | 2.27 | 2.23 | 2.19 | 2.16 | 2.10 | 2.06 | 2.03 | 29 |
30 | 2.51 | 2.47 | 2.44 | 2.41 | 2.39 | 2.34 | 2.30 | 2.27 | 2.25 | 2.21 | 2.16 | 2.13 | 2.07 | 2.03 | 2.01 | 30 |
32 | 2.46 | 2.42 | 2.39 | 2.36 | 2.34 | 2.29 | 2.25 | 2.22 | 2.20 | 2.16 | 2.11 | 2.08 | 2.02 | 1.98 | 1.96 | 32 |
34 | 2.42 | 2.38 | 2.35 | 2.32 | 2.30 | 2.25 | 2.21 | 2.18 | 2.16 | 2.12 | 2.07 | 2.04 | 1.98 | 1.94 | 1.91 | 34 |
36 | 2.38 | 2.35 | 2.32 | 2.29 | 2.26 | 2.21 | 2.17 | 2.14 | 2.12 | 2.08 | 2.03 | 2.00 | 1.94 | 1.90 | 1.87 | 36 |
38 | 2.35 | 2.32 | 2.28 | 2.26 | 2.23 | 2.18 | 2.14 | 2.11 | 2.09 | 2.05 | 2.00 | 1.97 | 1.90 | 1.86 | 1.84 | 38 |
40 | 2.33 | 2.29 | 2.26 | 2.23 | 2.20 | 2.15 | 2.11 | 2.08 | 2.06 | 2.02 | 1.97 | 1.94 | 1.87 | 1.83 | 1.80 | 40 |
42 | 2.30 | 2.26 | 2.23 | 2.20 | 2.18 | 2.13 | 2.09 | 2.06 | 2.03 | 1.99 | 1.94 | 1.91 | 1.85 | 1.80 | 1.78 | 42 |
44 | 2.28 | 2.24 | 2.21 | 2.18 | 2.15 | 2.10 | 2.06 | 2.03 | 2.01 | 1.97 | 1.92 | 1.89 | 1.82 | 1.78 | 1.75 | 44 |
46 | 2.26 | 2.22 | 2.19 | 2.16 | 2.13 | 2.08 | 2.04 | 2.01 | 1.99 | 1.95 | 1.90 | 1.86 | 1.80 | 1.75 | 1.73 | 46 |
48 | 2.24 | 2.20 | 2.17 | 2.14 | 2.12 | 2.06 | 2.02 | 1.99 | 1.97 | 1.93 | 1.88 | 1.84 | 1.78 | 1.73 | 1.70 | 48 |
50 | 2.22 | 2.18 | 2.15 | 2.12 | 2.10 | 2.05 | 2.01 | 1.97 | 1.95 | 1.91 | 1.86 | 1.82 | 1.76 | 1.71 | 1.68 | 50 |
60 | 2.15 | 2.12 | 2.08 | 2.05 | 2.03 | 1.98 | 1.94 | 1.90 | 1.88 | 1.84 | 1.78 | 1.75 | 1.68 | 1.63 | 1.60 | 60 |
80 | 2.07 | 2.03 | 2.00 | 1.97 | 1.94 | 1.89 | 1.85 | 1.81 | 1.79 | 1.75 | 1.69 | 1.66 | 1.58 | 1.53 | 1.49 | 80 |
100 | 2.02 | 1.98 | 1.94 | 1.92 | 1.89 | 1.84 | 1.80 | 1.76 | 1.73 | 1.69 | 1.63 | 1.60 | 1.52 | 1.47 | 1.43 | 100 |
125 | 1.98 | 1.94 | 1.91 | 1.88 | 1.85 | 1.80 | 1.76 | 1.72 | 1.69 | 1.65 | 1.59 | 1.55 | 1.47 | 1.41 | 1.37 | 125 |
150 | 1.96 | 1.92 | 1.88 | 1.85 | 1.83 | 1.77 | 1.73 | 1.69 | 1.66 | 1.62 | 1.56 | 1.52 | 1.43 | 1.38 | 1.33 | 150 |
200 | 1.93 | 1.89 | 1.85 | 1.82 | 1.79 | 1.74 | 1.69 | 1.66 | 1.63 | 1.58 | 1.52 | 1.48 | 1.39 | 1.33 | 1.28 | 200 |
300 | 1.89 | 1.85 | 1.82 | 1.79 | 1.76 | 1.71 | 1.66 | 1.62 | 1.59 | 1.55 | 1.48 | 1.44 | 1.35 | 1.28 | 1.22 | 300 |
500 | 1.87 | 1.83 | 1.79 | 1.76 | 1.74 | 1.68 | 1.63 | 1.60 | 1.56 | 1.52 | 1.45 | 1.41 | 1.31 | 1.23 | 1.16 | 500 |
1000 | 1.85 | 1.81 | 1.77 | 1.74 | 1.72 | 1.66 | 1.61 | 1.57 | 1.54 | 1.50 | 1.43 | 1.38 | 1.28 | 1.19 | 1.11 | 1000 |
∞ | 1.83 | 1.79 | 1.76 | 1.72 | 1.70 | 1.64 | 1.59 | 1.55 | 1.52 | 1.47 | 1.40 | 1.36 | 1.25 | 1.15 | 1.00 | ∞ |
P=0.01
n� 2 | n' 2 (较大均方的自由度) | n� 2 | ||||||||||||||
22 | 24 | 26 | 28 | 30 | 35 | 40 | 45 | 50 | 60 | 80 | 100 | 200 | 500 | ∞ | ||
1 | 6220 | 6234 | 6240 | 6250 | 6258 | 6280 | 6286 | 6300 | 6302 | 6310 | 6334 | 6330 | 6352 | 6361 | 6366 | 1 |
2 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 99.5 | 2 |
3 | 26.6 | 26.6 | 26.6 | 26.5 | 26.5 | 26.5 | 26.4 | 26.4 | 26.4 | 26.3 | 26.3 | 26.2 | 26.2 | 26.1 | 26.1 | 3 |
4 | 14.0 | 13.9 | 13.9 | 13.9 | 13.8 | 13.8 | 13.7 | 13.7 | 13.7 | 13.7 | 13.6 | 13.6 | 13.5 | 13.5 | 13.5 | 4 |
5 | 9.51 | 9.47 | 9.43 | 9.40 | 9.38 | 9.33 | 9.29 | 9.26 | 9.24 | 9.20 | 9.16 | 9.13 | 9.08 | 9.04 | 9.02 | 5 |
6 | 7.35 | 7.31 | 7.28 | 7.25 | 7.23 | 7.18 | 7.14 | 7.11 | 7.09 | 7.06 | 7.01 | 6.99 | 6.93 | 6.90 | 6.88 | 6 |
7 | 6.11 | 6.07 | 6.04 | 6.02 | 5.99 | 5.94 | 5.91 | 5.88 | 5.86 | 5.82 | 5.78 | 5.75 | 5.70 | 5.67 | 5.65 | 7 |
8 | 5.32 | 5.28 | 5.25 | 5.22 | 5.20 | 5.15 | 5.12 | 5.00 | 5.07 | 5.03 | 4.99 | 4.96 | 4.91 | 4.88 | 4.86 | 8 |
9 | 4.77 | 4.73 | 4.70 | 4.67 | 4.65 | 4.60 | 4.57 | 4.54 | 4.52 | 4.48 | 4.44 | 4.42 | 4.36 | 4.33 | 4.31 | 9 |
10 | 4.36 | 4.33 | 4.30 | 4.27 | 4.25 | 4.20 | 4.17 | 4.14 | 4.12 | 4.08 | 4.04 | 4.01 | 3.96 | 3.93 | 3.91 | 10 |
11 | 4.06 | 4.02 | 5.99 | 3.96 | 3.94 | 3.89 | 3.86 | 3.83 | 3.81 | 3.78 | 3.73 | 3.71 | 3.66 | 3.62 | 3.60 | 11 |
12 | 3.82 | 3.78 | 3.75 | 3.72 | 3.70 | 3.65 | 3.62 | 3.59 | 3.57 | 3.54 | 3.49 | 3.47 | 3.41 | 3.38 | 3.36 | 12 |
13 | 3.62 | 3.59 | 3.56 | 3.53 | 3.51 | 3.46 | 3.43 | 3.40 | 3.38 | 3.34 | 3.30 | 3.27 | 3.22 | 3.19 | 3.17 | 13 |
14 | 3.46 | 3.43 | 2.40 | 3.37 | 3.35 | 3.30 | 3.27 | 3.24 | 3.22 | 3.18 | 3.14 | 3.11 | 3.06 | 3.03 | 3.00 | 14 |
15 | 3.33 | 3.29 | 3.26 | 3.24 | 3.21 | 3.17 | 3.13 | 3.10 | 3.08 | 3.05 | 3.00 | 2.98 | 2.92 | 2.89 | 2.87 | 15 |
16 | 3.22 | 3.18 | 3.15 | 3.12 | 3.10 | 3.05 | 3.02 | 2.99 | 2.97 | 2.93 | 2.89 | 2.86 | 2.81 | 2.78 | 2.75 | 16 |
17 | 3.12 | 3.08 | 3.05 | 3.03 | 3.00 | 2.96 | 2.92 | 2.89 | 2.87 | 2.83 | 2.79 | 2.76 | 2.71 | 2.68 | 2.65 | 17 |
18 | 3.03 | 3.00 | 2.97 | 2.94 | 2.92 | 2.87 | 2.84 | 2.81 | 2.78 | 2.75 | 2.70 | 2.68 | 2.62 | 2.59 | 2.57 | 18 |
19 | 2.96 | 2.92 | 2.89 | 2.87 | 2.84 | 2.80 | 2.76 | 2.73 | 2.71 | 2.67 | 2.63 | 2.60 | 2.55 | 2.51 | 2.49 | 19 |
20 | 2.90 | 2.86 | 2.83 | 2.80 | 2.78 | 2.73 | 2.69 | 2.67 | 2.64 | 2.61 | 2.56 | 2.54 | 2.48 | 2.44 | 2.42 | 20 |
21 | 2.84 | 2.80 | 2.77 | 2.74 | 2.72 | 2.67 | 2.64 | 2.61 | 2.58 | 2.55 | 2.50 | 2.48 | 2.42 | 2.38 | 2.36 | 21 |
22 | 2.78 | 2.75 | 2.72 | 2.69 | 2.67 | 2.62 | 2.58 | 2.55 | 2.53 | 2.50 | 2.45 | 2.42 | 2.36 | 2.33 | 2.31 | 22 |
23 | 2.74 | 2.70 | 2.67 | 2.64 | 2.62 | 2.57 | 2.54 | 2.51 | 2.48 | 2.45 | 2.40 | 2.37 | 2.32 | 2.28 | 2.26 | 23 |
24 | 2.70 | 2.66 | 2.63 | 2.60 | 2.58 | 2.53 | 2.49 | 2.46 | 2.44 | 2.40 | 2.36 | 2.33 | 2.27 | 2.24 | 2.21 | 24 |
25 | 2.66 | 2.62 | 2.59 | 2.56 | 2.54 | 2.49 | 2.45 | 2.42 | 2.40 | 2.36 | 2.32 | 2.29 | 2.23 | 2.19 | 2.17 | 25 |
26 | 2.62 | 2.58 | 2.55 | 2.53 | 2.50 | 2.45 | 2.42 | 2.39 | 2.36 | 2.33 | 2.28 | 2.25 | 2.19 | 2.16 | 2.13 | 26 |
27 | 2.59 | 2.55 | 2.52 | 2.49 | 2.47 | 2.42 | 2.38 | 2.35 | 2.33 | 2.29 | 2.25 | 2.22 | 2.16 | 2.12 | 2.10 | 27 |
28 | 2.56 | 2.52 | 2.49 | 2.46 | 2.44 | 2.39 | 2.35 | 2.32 | 2.30 | 2.26 | 2.22 | 2.19 | 2.13 | 2.09 | 2.06 | 28 |
29 | 2.53 | 2.49 | 2.46 | 2.44 | 2.41 | 2.36 | 2.33 | 2.30 | 2.27 | 2.23 | 2.19 | 2.16 | 2.10 | 2.06 | 2.03 | 29 |
30 | 2.51 | 2.47 | 2.44 | 2.41 | 2.39 | 2.34 | 2.30 | 2.27 | 2.25 | 2.21 | 2.16 | 2.13 | 2.07 | 2.03 | 2.01 | 30 |
32 | 2.46 | 2.42 | 2.39 | 2.36 | 2.34 | 2.29 | 2.25 | 2.22 | 2.20 | 2.16 | 2.11 | 2.08 | 2.02 | 1.98 | 1.96 | 32 |
34 | 2.42 | 2.38 | 2.35 | 2.32 | 2.30 | 2.25 | 2.21 | 2.18 | 2.16 | 2.12 | 2.07 | 2.04 | 1.98 | 1.94 | 1.91 | 34 |
36 | 2.38 | 2.35 | 2.32 | 2.29 | 2.26 | 2.21 | 2.17 | 2.14 | 2.12 | 2.08 | 2.03 | 2.00 | 1.94 | 1.90 | 1.87 | 36 |
38 | 2.35 | 2.32 | 2.28 | 2.26 | 2.23 | 2.18 | 2.14 | 2.11 | 2.09 | 2.05 | 2.00 | 1.97 | 1.90 | 1.86 | 1.84 | 38 |
40 | 2.33 | 2.29 | 2.26 | 2.23 | 2.20 | 2.15 | 2.11 | 2.08 | 2.06 | 2.02 | 1.97 | 1.94 | 1.87 | 1.83 | 1.80 | 40 |
42 | 2.30 | 2.26 | 2.23 | 2.20 | 2.18 | 2.13 | 2.09 | 2.06 | 2.03 | 1.99 | 1.94 | 1.91 | 1.85 | 1.80 | 1.78 | 42 |
44 | 2.28 | 2.24 | 2.21 | 2.18 | 2.15 | 2.10 | 2.06 | 2.03 | 2.01 | 1.97 | 1.92 | 1.89 | 1.82 | 1.78 | 1.75 | 44 |
46 | 2.26 | 2.22 | 2.19 | 2.16 | 2.13 | 2.08 | 2.04 | 2.01 | 1.99 | 1.95 | 1.90 | 1.86 | 1.80 | 1.75 | 1.73 | 46 |
48 | 2.24 | 2.20 | 2.17 | 2.14 | 2.12 | 2.06 | 2.02 | 1.99 | 1.97 | 1.93 | 1.88 | 1.84 | 1.78 | 1.73 | 1.70 | 48 |
50 | 2.22 | 2.18 | 2.15 | 2.12 | 2.10 | 2.05 | 2.01 | 1.97 | 1.95 | 1.91 | 1.86 | 1.82 | 1.76 | 1.71 | 1.68 | 50 |
60 | 2.15 | 2.12 | 2.08 | 2.05 | 2.03 | 1.98 | 1.94 | 1.90 | 1.88 | 1.84 | 1.78 | 1.75 | 1.68 | 1.63 | 1.60 | 60 |
80 | 2.07 | 2.03 | 2.00 | 1.97 | 1.94 | 1.89 | 1.85 | 1.81 | 1.79 | 1.75 | 1.69 | 1.66 | 1.58 | 1.53 | 1.49 | 80 |
100 | 2.02 | 1.98 | 1.94 | 1.92 | 1.89 | 1.84 | 1.80 | 1.76 | 1.73 | 1.69 | 1.63 | 1.60 | 1.52 | 1.47 | 1.43 | 100 |
125 | 1.98 | 1.94 | 1.91 | 1.88 | 1.85 | 1.80 | 1.76 | 1.72 | 1.69 | 1.65 | 1.59 | 1.55 | 1.47 | 1.41 | 1.37 | 125 |
150 | 1.96 | 1.92 | 1.88 | 1.85 | 1.83 | 1.77 | 1.73 | 1.69 | 1.66 | 1.62 | 1.56 | 1.52 | 1.43 | 1.38 | 1.33 | 150 |
200 | 1.93 | 1.89 | 1.85 | 1.82 | 1.79 | 1.74 | 1.69 | 1.66 | 1.63 | 1.58 | 1.52 | 1.48 | 1.39 | 1.33 | 1.28 | 200 |
300 | 1.89 | 1.85 | 1.82 | 1.79 | 1.76 | 1.71 | 1.66 | 1.62 | 1.59 | 1.55 | 1.48 | 1.44 | 1.35 | 1.28 | 1.22 | 300 |
500 | 1.87 | 1.83 | 1.79 | 1.76 | 1.74 | 1.68 | 1.63 | 1.60 | 1.56 | 1.52 | 1.45 | 1.41 | 1.31 | 1.23 | 1.16 | 500 |
1000 | 1.85 | 1.81 | 1.77 | 1.74 | 1.72 | 1.66 | 1.61 | 1.57 | 1.54 | 1.50 | 1.43 | 1.38 | 1.28 | 1.19 | 1.11 | 1000 |
∞ | 1.83 | 1.79 | 1.76 | 1.72 | 1.70 | 1.64 | 1.59 | 1.55 | 1.52 | 1.47 | 1.40 | 1.36 | 1.25 | 1.15 | 1.00 | ∞ |