医学统计助手(www.statsas.com)
α=0.05
f小\f大 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 | 30 | 35 | 40 | 45 | 50 | 60 | 80 | 100 | 200 | 500 | ∞ |
1 | 161 | 200 | 216 | 225 | 230 | 234 | 237 | 239 | 241 | 242 | 244 | 245 | 246 | 247 | 248 | 249 | 249 | 249 | 250 | 250 | 251 | 251 | 251 | 252 | 252 | 252 | 253 | 254 | 254 | 254 |
2 | 18.5 | 19 | 19.2 | 19.2 | 19.3 | 19.3 | 19.4 | 19.4 | 19.4 | 19.4 | 19.4 | 19.4 | 19.4 | 19.4 | 19.4 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 | 19.5 |
3 | 10.1 | 9.55 | 9.28 | 9.12 | 9.01 | 8.94 | 8.89 | 8.85 | 8.81 | 8.79 | 8.74 | 8.71 | 8.69 | 8.67 | 8.66 | 8.65 | 8.64 | 8.63 | 8.62 | 8.62 | 8.6 | 8.59 | 8.59 | 8.58 | 8.57 | 8.56 | 8.55 | 8.54 | 8.53 | 8.53 |
4 | 7.71 | 6.94 | 6.59 | 6.39 | 6.26 | 6.16 | 6.09 | 6.04 | 6 | 5.96 | 5.91 | 5.87 | 5.84 | 5.82 | 5.8 | 5.79 | 5.77 | 5.76 | 5.75 | 5.75 | 5.73 | 5.72 | 5.71 | 5.7 | 7.69 | 5.67 | 5.66 | 5.65 | 5.64 | 5.63 |
5 | 6.61 | 5.79 | 5.41 | 5.19 | 5.05 | 4.95 | 4.88 | 4.82 | 4.77 | 4.74 | 4.68 | 4.64 | 4.6 | 4.58 | 4.56 | 4.54 | 5.53 | 4.52 | 4.5 | 4.5 | 4.48 | 4.46 | 4.45 | 4.44 | 4.43 | 4.41 | 4.41 | 4.39 | 4.37 | 4.37 |
6 | 5.99 | 5.14 | 4.76 | 4.53 | 4.39 | 4.28 | 4.21 | 4.15 | 4.1 | 4.06 | 4 | 3.96 | 3.92 | 3.9 | 3.87 | 3.86 | 3.84 | 3.83 | 3.82 | 3.81 | 3.79 | 3.77 | 3.76 | 3.75 | 3.74 | 3.72 | 3.71 | 3.69 | 3.68 | 3.67 |
7 | 5.59 | 4.74 | 4.35 | 4.12 | 3.97 | 3.87 | 3.79 | 3.73 | 3.68 | 3.64 | 3.57 | 3.53 | 3.49 | 3.47 | 3.44 | 3.43 | 3.41 | 3.4 | 3.39 | 3.38 | 3.36 | 3.34 | 3.33 | 3.32 | 3.3 | 3.29 | 3.27 | 3.25 | 3.24 | 3.23 |
8 | 5.32 | 4.46 | 4.07 | 3.84 | 3.69 | 3.58 | 3.5 | 3.44 | 3.39 | 3.35 | 3.28 | 3.24 | 3.2 | 3.17 | 3.15 | 3.13 | 3.12 | 3.1 | 3.09 | 3.08 | 3.06 | 3.04 | 3.03 | 3.02 | 3.01 | 2.99 | 2.97 | 2.95 | 2.94 | 2.93 |
9 | 5.12 | 4.26 | 3.86 | 3.63 | 3.48 | 3.37 | 3.29 | 3.23 | 3.18 | 3.14 | 3.07 | 3.03 | 2.99 | 2.96 | 2.94 | 2.92 | 2.9 | 2.89 | 2.87 | 2.83 | 2.84 | 2.83 | 2.81 | 2.8 | 2.79 | 2.77 | 2.76 | 2.73 | 2.72 | 2.71 |
10 | 4.96 | 4.1 | 3.71 | 3.48 | 3.33 | 3.22 | 3.14 | 3.07 | 3.02 | 2.98 | 2.91 | 2.86 | 2.83 | 2.8 | 2.77 | 2.75 | 2.74 | 2.72 | 2.71 | 2.7 | 2.68 | 2.66 | 2.65 | 2.64 | 2.62 | 2.6 | 2.59 | 2.56 | 2.55 | 0.54 |
11 | 4.84 | 3.98 | 3.59 | 3.36 | 3.2 | 3.09 | 3.01 | 2.95 | 2.9 | 2.85 | 2.79 | 2.74 | 2.7 | 2.67 | 2.65 | 2.63 | 2.61 | 2.59 | 2.58 | 2.57 | 2.55 | 2.53 | 2.52 | 2.51 | 2.49 | 2.47 | 2.46 | 2.43 | 2.42 | 2.4 |
12 | 4.75 | 3.89 | 3.49 | 3.26 | 3.11 | 3 | 2.91 | 2.85 | 2.8 | 2.75 | 2.69 | 2.64 | 2.6 | 2.57 | 2.54 | 2.52 | 2.51 | 2.49 | 2.48 | 2.47 | 2.44 | 2.43 | 2.41 | 2.4 | 2.38 | 2.36 | 2.35 | 2.32 | 2.31 | 2.3 |
13 | 4.67 | 3.81 | 3.41 | 3.18 | 3.03 | 2.92 | 2.83 | 2.77 | 2.71 | 2.67 | 2.6 | 2.55 | 2.51 | 2.48 | 2.46 | 2.44 | 2.42 | 2.41 | 2.39 | 2.38 | 2.36 | 2.34 | 2.33 | 2.31 | 2.3 | 2.27 | 2.26 | 2.23 | 2.22 | 2.21 |
14 | 4.6 | 3.74 | 3.34 | 3.11 | 2.96 | 2.85 | 2.76 | 2.7 | 2.65 | 2.6 | 2.53 | 2.48 | 2.44 | 2.41 | 2.39 | 2.37 | 2.35 | 2.33 | 2.32 | 2.31 | 2.28 | 2.27 | 2.25 | 2.24 | 2.22 | 2.2 | 2.19 | 2.16 | 2.14 | 2.13 |
15 | 4.54 | 3.68 | 3.29 | 3.06 | 2.9 | 2.79 | 2.71 | 2.64 | 2.59 | 2.54 | 2.48 | 2.42 | 2.38 | 2.35 | 2.33 | 2.31 | 2.29 | 2.27 | 2.26 | 2.25 | 2.22 | 2.2 | 2.19 | 2.18 | 2.16 | 2.14 | 2.12 | 2.1 | 2.08 | 2.07 |
16 | 4.49 | 3.63 | 3.24 | 3.01 | 2.85 | 2.74 | 2.66 | 2.59 | 2.54 | 2.49 | 2.42 | 2.37 | 2.33 | 2.3 | 2.28 | 2.25 | 2.24 | 2.22 | 2.21 | 2.19 | 2.17 | 2.15 | 2.14 | 2.12 | 2.11 | 2.08 | 2.07 | 2.04 | 2.02 | 2.01 |
17 | 4.45 | 3.59 | 3.2 | 2.96 | 2.81 | 2.7 | 2.61 | 2.55 | 2.49 | 2.45 | 2.38 | 2.33 | 2.29 | 2.26 | 2.23 | 2.21 | 2.19 | 2.17 | 2.16 | 2.15 | 2.12 | 2.1 | 2.09 | 2.08 | 2.06 | 2.03 | 2.02 | 1.99 | 1.97 | 1.96 |
18 | 4.41 | 3.55 | 3.16 | 2.93 | 2.77 | 2.66 | 2.58 | 2.51 | 2.46 | 2.41 | 2.34 | 2.29 | 2.25 | 2.22 | 2.19 | 2.17 | 2.15 | 2.13 | 2.12 | 2.11 | 2.08 | 2.06 | 2.05 | 2.04 | 2.02 | 1.99 | 1.98 | 1.95 | 1.93 | 1.92 |
19 | 4.38 | 3.52 | 3.13 | 2.9 | 2.74 | 2.63 | 2.54 | 2.48 | 2.42 | 2.38 | 2.31 | 2.26 | 2.21 | 2.18 | 2.16 | 2.13 | 2.11 | 2.1 | 2.08 | 2.07 | 2.05 | 2.03 | 2.01 | 2 | 1.98 | 1.96 | 1.94 | 1.91 | 1.89 | 1.88 |
20 | 4.35 | 3.49 | 3.1 | 2.87 | 2.71 | 2.6 | 2.51 | 2.45 | 2.39 | 2.35 | 2.28 | 2.22 | 2.18 | 2.15 | 2.12 | 2.1 | 2.08 | 2.07 | 2.05 | 2.04 | 2.01 | 1.99 | 1.98 | 1.97 | 1.95 | 1.92 | 1.91 | 1.88 | 1.86 | 1.84 |
21 | 4.32 | 3.47 | 3.07 | 2.84 | 2.68 | 2.57 | 2.49 | 2.42 | 2.37 | 2.32 | 2.25 | 2.2 | 2.16 | 2.12 | 2.1 | 2.07 | 2.05 | 2.04 | 2.02 | 2.01 | 1.98 | 1.96 | 1.95 | 1.94 | 1.92 | 1.89 | 1.88 | 1.84 | 1.82 | 1.81 |
22 | 4.3 | 3.44 | 3.05 | 2.82 | 2.66 | 2.55 | 2.46 | 2.4 | 2.34 | 2.3 | 2.23 | 2.17 | 2.13 | 2.1 | 2.07 | 2.05 | 2.03 | 2.01 | 2 | 1.98 | 1.96 | 1.94 | 1.92 | 1.91 | 1.89 | 1.86 | 1.85 | 1.82 | 1.8 | 1.78 |
23 | 4.28 | 3.42 | 3.03 | 2.8 | 2.64 | 2.53 | 2.44 | 2.37 | 2.32 | 2.27 | 2.2 | 2.15 | 2.11 | 2.07 | 2.05 | 2.02 | 2 | 1.99 | 1.97 | 1.96 | 1.93 | 1.91 | 1.9 | 1.88 | 1.86 | 1.84 | 1.82 | 1.79 | 1.77 | 1.76 |
24 | 4.26 | 3.4 | 3.01 | 2.78 | 2.62 | 2.51 | 2.42 | 2.36 | 2.3 | 2.25 | 2.18 | 2.13 | 2.09 | 2.05 | 2.03 | 2 | 1.98 | 1.97 | 1.95 | 1.94 | 1.91 | 1.89 | 1.88 | 1.86 | 1.84 | 1.82 | 1.8 | 1.77 | 1.75 | 1.73 |
25 | 4.24 | 3.39 | 2.99 | 2.76 | 2.6 | 2.49 | 2.4 | 2.34 | 2.28 | 2.24 | 2.16 | 2.11 | 2.07 | 2.04 | 2.01 | 1.98 | 1.96 | 1.95 | 1.93 | 1.92 | 1.89 | 1.87 | 1.86 | 1.84 | 1.82 | 1.8 | 1.78 | 1.75 | 1.73 | 1.71 |
26 | 4.23 | 3.37 | 2.98 | 2.74 | 2.59 | 2.47 | 2.39 | 2.32 | 2.27 | 2.22 | 2.15 | 2.09 | 2.05 | 2.02 | 1.99 | 1.97 | 1.95 | 1.93 | 1.91 | 1.9 | 1.87 | 1.85 | 1.84 | 1.82 | 1.8 | 1.78 | 1.76 | 1.73 | 1.71 | 1.69 |
27 | 4.21 | 3.35 | 2.96 | 2.73 | 2.57 | 2.46 | 2.37 | 2.31 | 2.25 | 2.2 | 2.13 | 2.08 | 2.04 | 2 | 1.97 | 1.95 | 1.93 | 1.91 | 1.9 | 1.88 | 1.86 | 1.84 | 1.82 | 1.81 | 1.79 | 1.76 | 1.74 | 1.71 | 1.69 | 1.67 |
28 | 4.2 | 3.34 | 2.95 | 2.71 | 2.56 | 2.45 | 2.36 | 2.29 | 2.24 | 2.19 | 2.12 | 2.06 | 2.02 | 1.99 | 1.96 | 1.93 | 1.91 | 1.9 | 1.88 | 1.87 | 1.84 | 1.82 | 1.8 | 1.79 | 1.77 | 1.74 | 1.73 | 1.69 | 1.67 | 1.65 |
29 | 4.18 | 3.33 | 2.93 | 2.7 | 2.55 | 2.43 | 2.35 | 2.28 | 2.22 | 2.18 | 2.1 | 2.05 | 2.01 | 1.97 | 1.94 | 1.92 | 1.9 | 1.88 | 1.87 | 1.85 | 1.83 | 1.81 | 1.79 | 1.77 | 1.75 | 1.73 | 1.71 | 1.67 | 1.65 | 1.64 |
30 | 4.17 | 3.32 | 2.92 | 2.69 | 2.53 | 2.42 | 2.33 | 2.27 | 2.21 | 2.16 | 2.09 | 2.04 | 1.99 | 1.96 | 1.93 | 1.91 | 1.89 | 1.87 | 1.85 | 1.84 | 1.81 | 1.79 | 1.77 | 1.76 | 1.74 | 1.71 | 1.7 | 1.66 | 1.64 | 1.62 |
32 | 4.15 | 3.29 | 2.9 | 2.67 | 2.51 | 2.4 | 2.31 | 2.24 | 2.19 | 2.14 | 2.07 | 2.01 | 1.97 | 1.94 | 1.91 | 1.88 | 1.86 | 1.85 | 1.83 | 1.82 | 1.79 | 1.77 | 1.75 | 1.74 | 1.71 | 1.69 | 1.67 | 1.63 | 1.61 | 1.59 |
34 | 4.13 | 3.28 | 2.88 | 2.65 | 2.49 | 2.38 | 2.29 | 2.23 | 2.17 | 2.12 | 2.05 | 1.99 | 1.95 | 1.92 | 1.89 | 1.86 | 1.84 | 1.82 | 1.8 | 1.8 | 1.77 | 1.75 | 1.73 | 1.71 | 1.69 | 1.66 | 1.65 | 1.61 | 1.59 | 1.57 |
36 | 4.11 | 3.26 | 2.87 | 2.63 | 2.48 | 2.36 | 2.28 | 2.21 | 2.15 | 2.11 | 2.03 | 1.98 | 1.93 | 1.9 | 1.87 | 1.85 | 1.82 | 1.81 | 1.79 | 1.78 | 1.75 | 1.73 | 1.71 | 1.69 | 1.67 | 1.64 | 1.62 | 1.59 | 1.56 | 1.55 |
38 | 4.1 | 3.24 | 2.85 | 2.62 | 2.46 | 2.35 | 2.26 | 2.19 | 2.14 | 2.09 | 2.02 | 1.96 | 1.92 | 1.88 | 1.85 | 1.83 | 1.81 | 1.79 | 1.77 | 1.76 | 1.73 | 1.71 | 1.69 | 1.68 | 1.65 | 1.62 | 1.61 | 1.57 | 1.54 | 1.53 |
40 | 4.08 | 3.23 | 2.84 | 2.61 | 2.45 | 2.34 | 2.25 | 2.18 | 2.12 | 2.08 | 2 | 1.95 | 1.9 | 1.87 | 1.84 | 1.81 | 1.79 | 1.77 | 1.76 | 1.74 | 1.72 | 1.69 | 1.67 | 1.66 | 1.64 | 1.61 | 1.59 | 1.55 | 1.53 | 1.51 |
42 | 4.07 | 3.22 | 2.83 | 2.59 | 2.44 | 2.32 | 2.24 | 2.17 | 2.11 | 2.06 | 1.99 | 1.93 | 1.89 | 1.86 | 1.83 | 1.8 | 1.78 | 1.76 | 1.74 | 1.73 | 1.7 | 1.68 | 1.66 | 1.65 | 1.62 | 1.59 | 1.57 | 1.53 | 1.51 | 1.49 |
44 | 4.06 | 3.21 | 2.82 | 2.58 | 2.43 | 2.31 | 2.23 | 2.16 | 2.1 | 2.05 | 1.98 | 1.92 | 1.88 | 1.84 | 1.81 | 1.79 | 1.77 | 1.75 | 1.73 | 1.72 | 1.69 | 1.67 | 1.65 | 1.63 | 1.61 | 1.58 | 1.56 | 1.52 | 1.49 | 1.48 |
46 | 4.05 | 3.2 | 2.81 | 2.57 | 2.42 | 2.3 | 2.22 | 2.15 | 2.09 | 2.04 | 1.97 | 1.91 | 1.87 | 1.83 | 1.8 | 1.78 | 1.76 | 1.74 | 1.72 | 1.71 | 1.68 | 1.65 | 1.64 | 1.62 | 1.6 | 1.57 | 1.55 | 1.51 | 1.48 | 1.46 |
48 | 4.04 | 3.19 | 2.8 | 2.57 | 2.41 | 2.29 | 2.21 | 2.14 | 2.08 | 2.03 | 1.96 | 1.9 | 1.86 | 1.82 | 1.79 | 1.77 | 1.75 | 1.73 | 1.71 | 1.7 | 1.67 | 1.64 | 1.62 | 1.61 | 1.59 | 1.56 | 1.54 | 1.49 | 1.47 | 1.45 |
50 | 4.03 | 3.18 | 2.79 | 2.56 | 2.4 | 2.29 | 2.2 | 2.13 | 2.07 | 2.03 | 1.95 | 1.89 | 1.85 | 1.81 | 1.78 | 1.76 | 1.74 | 1.72 | 1.7 | 1.69 | 1.66 | 1.63 | 1.61 | 1.6 | 1.58 | 1.54 | 1.52 | 1.48 | 1.46 | 1.44 |
60 | 4 | 3.15 | 2.76 | 2.53 | 2.37 | 2.25 | 2.17 | 2.1 | 2.04 | 1.99 | 1.92 | 1.86 | 1.82 | 1.78 | 1.75 | 1.72 | 1.7 | 1.68 | 1.66 | 1.65 | 1.62 | 1.59 | 1.57 | 1.56 | 1.53 | 1.5 | 1.48 | 1.44 | 1.41 | 1.39 |
80 | 3.96 | 3.11 | 2.72 | 2.49 | 2.33 | 2.21 | 2.13 | 2.06 | 2 | 1.95 | 1.88 | 1.82 | 1.77 | 1.73 | 1.7 | 1.68 | 1.65 | 1.63 | 1.62 | 1.6 | 1.57 | 1.54 | 1.52 | 1.51 | 1.48 | 1.45 | 1.43 | 1.38 | 1.35 | 1.32 |
100 | 3.94 | 3.09 | 2.7 | 2.46 | 2.31 | 2.19 | 2.1 | 2.03 | 1.97 | 1.93 | 1.85 | 1.79 | 1.75 | 1.71 | 1.68 | 1.65 | 1.63 | 1.61 | 1.59 | 1.57 | 1.54 | 1.52 | 1.49 | 1.48 | 1.45 | 1.41 | 1.39 | 1.34 | 1.31 | 1.28 |
125 | 3.92 | 3.07 | 2.68 | 2.44 | 2.29 | 2.17 | 2.08 | 2.01 | 1.96 | 1.91 | 1.83 | 1.77 | 1.72 | 1.69 | 1.65 | 1.63 | 1.6 | 1.58 | 1.57 | 1.55 | 1.52 | 1.49 | 1.47 | 1.45 | 1.42 | 1.39 | 1.36 | 1.31 | 1.27 | 1.25 |
150 | 3.9 | 3.06 | 2.66 | 2.43 | 2.27 | 2.16 | 2.07 | 2 | 1.94 | 1.89 | 1.82 | 1.76 | 1.71 | 1.67 | 1.64 | 1.61 | 1.59 | 1.57 | 1.55 | 1.53 | 1.5 | 1.48 | 1.45 | 1.44 | 1.41 | 1.37 | 1.34 | 1.29 | 1.25 | 1.22 |
200 | 3.89 | 3.04 | 2.65 | 2.42 | 2.26 | 2.14 | 2.06 | 1.98 | 1.93 | 1.88 | 1.8 | 1.74 | 1.69 | 1.66 | 1.62 | 1.6 | 1.57 | 1.55 | 1.53 | 1.52 | 1.48 | 1.46 | 1.43 | 1.41 | 1.39 | 1.35 | 1.32 | 1.26 | 1.22 | 1.19 |
300 | 3.87 | 3.03 | 2.63 | 2.4 | 2.24 | 2.13 | 2.04 | 1.97 | 1.91 | 1.86 | 1.78 | 1.72 | 1.68 | 1.64 | 1.61 | 1.58 | 1.55 | 1.53 | 1.51 | 1.5 | 1.46 | 1.43 | 1.41 | 1.39 | 1.36 | 1.32 | 1.3 | 1.23 | 1.19 | 1.15 |
500 | 3.86 | 3.01 | 2.62 | 2.39 | 2.23 | 2.12 | 2.03 | 1.96 | 1.9 | 1.85 | 1.77 | 1.71 | 1.66 | 1.62 | 1.59 | 1.56 | 1.54 | 1.52 | 1.5 | 1.48 | 1.45 | 1.42 | 1.4 | 1.38 | 1.34 | 1.3 | 1.28 | 1.21 | 1.16 | 1.11 |
1000 | 3.85 | 3 | 2.61 | 2.38 | 2.22 | 2.11 | 2.02 | 1.95 | 1.89 | 1.84 | 1.76 | 1.7 | 1.65 | 1.61 | 1.58 | 1.55 | 1.53 | 1.51 | 1.49 | 1.47 | 1.44 | 1.41 | 1.38 | 1.36 | 1.33 | 1.29 | 1.26 | 1.19 | 1.13 | 1.08 |
∞ | 3.84 | 3 | 2.6 | 2.37 | 2.21 | 2.1 | 2.01 | 1.94 | 1.88 | 1.83 | 1.75 | 1.69 | 1.64 | 1.6 | 1.57 | 1.54 | 1.52 | 1.5 | 1.48 | 1.46 | 1.42 | 1.39 | 1.37 | 1.35 | 1.32 | 1.27 | 1.24 | 1.17 | 1.11 | 1 |
表内数据仅供参考