When: α = .10 (one-tailed test) α = .20 (two-tailed test)
Numerator Degrees of Freedom | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
V1 | V2 | 11 | 12 | 15 | 20 | 24 | 30 | 40 | 60 | 120 | ∞ |
Denominator Degrees of Freedom | 1 | 60.47 | 60.71 | 61.22 | 61.74 | 62.00 | 62.26 | 62.53 | 62.79 | 63.06 | 63.33 |
2 | 9.40 | 9.41 | 9.42 | 9.44 | 9.45 | 9.46 | 9.47 | 9.47 | 9.48 | 9.49 | |
3 | 5.22 | 5.22 | 520 | 5.18 | 5.18 | 5.17 | 5.16 | 5.15 | 5.14 | 5.13 | |
4 | 3.91 | 3.90 | 3.87 | 3.84 | 3.83 | 3.82 | 3.80 | 3.79 | 3.78 | 3.76 | |
5 | 3.28 | 3.27 | 3.24 | 3.21 | 3.19 | 3.17 | 3.16 | 3.14 | 3.12 | 3.10 | |
6 | 2.92 | 2.90 | 2.87 | 2.84 | 2.82 | 2.80 | 2.78 | 2.76 | 2.74 | 2.72 | |
7 | 2.68 | 2.67 | 2.63 | 2.59 | 2.58 | 2.56 | 2.54 | 2.51 | 2.49 | 2.47 | |
8 | 2.52 | 2.50 | 2.46 | 2.42 | 2.40 | 2.38 | 2.36 | 2.34 | 2.32 | 2.29 | |
9 | 2.40 | 2.38 | 2.34 | 2.30 | 2.28 | 2.25 | 2.23 | 2.21 | 2.18 | 2.16 | |
10 | 2.30 | 2.28 | 2.24 | 2.20 | 2.18 | 2.16 | 2.13 | 2.11 | 2.08 | 2.06 | |
11 | 2.23 | 2.21 | 217 | 2.12 | 2.10 | 2.08 | 2.05 | 2.03 | 2.00 | 1.97 | |
12 | 2.17 | 2.15 | 2.10 | 2.06 | 2.04 | 2.01 | 1.99 | 1.96 | 1.93 | 1.90 | |
13 | 2.12 | 2.10 | 2.05 | 2.01 | 1.98 | 1.96 | 1.93 | 1.90 | 1.88 | 1.85 | |
14 | 2.07 | 2.05 | 2.01 | 1.96 | 1.94 | 1.91 | 1.89 | 1.86 | 1.83 | 1.80 | |
15 | 2.04 | 2.02 | 1.97 | 1.92 | 1.90 | 1.87 | 1.85 | 1.82 | 1.79 | 1.76 | |
16 | 2.01 | 1.99 | 1.94 | 1.89 | 1.87 | 1.84 | 1.81 | 1.78 | 1.75 | 1.72 | |
17 | 1.98 | 1.96 | 1.91 | 1.86 | 1.84 | 1.81 | 1.78 | 1.75 | 1.72 | 1.69 | |
18 | 1.95 | 1.93 | 1.89 | 1.84 | 1.81 | 1.78 | 1.75 | 1.72 | 1.69 | 1.66 | |
19 | 1.93 | 1.91 | 1.86 | 1.81 | 1.79 | 1.76 | 1.73 | 1.70 | 1.67 | 1.63 | |
20 | 1.91 | 1.89 | 1.84 | 1.79 | 1.77 | 1.74 | 1.71 | 1.68 | 1.64 | 1.61 | |
21 | 1.90 | 1.87 | 1.83 | 1.78 | 1.75 | 1.72 | 1.69 | 1.66 | 1.62 | 1.59 | |
22 | 1.88 | 1.86 | 1.81 | 1.76 | 1.73 | 1.70 | 1.67 | 1.64 | 1.60 | 1.57 | |
23 | 1.87 | 1.84 | 1.80 | 1.74 | 1.72 | 1.69 | 1.66 | 1.62 | 1.59 | 1.55 | |
24 | 1.85 | 1.83 | 1.78 | 1.73 | 1.70 | 1.67 | 1.64 | 1.61 | 1.57 | 1.53 | |
25 | 1.84 | 1.82 | 1.77 | 1.72 | 1.69 | 1.66 | 1.63 | 1.59 | 1.56 | 1.52 | |
26 | 1.83 | 1.81 | 1.76 | 1.71 | 1.68 | 1.65 | 1.61 | 1.58 | 1.54 | 1.50 | |
27 | 1.82 | 1.80 | 1.75 | 1.70 | 1.67 | 1.64 | 1.60 | 1.57 | 1.53 | 1.49 | |
28 | 1.81 | 1.79 | 1.74 | 1.69 | 1.66 | 1.63 | 1.59 | 1.56 | 1.52 | 1.48 | |
29 | 1.80 | 1.78 | 1.73 | 1.68 | 1.65 | 1.62 | 1.58 | 1.55 | 1.51 | 1.47 | |
30 | 1.79 | 1.77 | 1.72 | 1.67 | 1.64 | 1.61 | 1.57 | 1.54 | 1.50 | 1.46 | |
40 | 1.74 | 1.71 | 1.66 | 1.61 | 1.57 | 1.54 | 1.51 | 1.47 | 1.42 | 1.38 | |
50 | 1.70 | 1.68 | 1.63 | 1.57 | 1.54 | 1.50 | 1.47 | 1.42 | 1.38 | 1.34 | |
60 | 1.68 | 1.66 | 1.60 | 1.54 | 1.51 | 1.48 | 1.44 | 1.40 | 1.35 | 1.29 | |
70 | 1.67 | 1.64 | 1.59 | 1.53 | 1.49 | 1.46 | 1.42 | 1.37 | 1.33 | 1.24 | |
80 | 1.65 | 1.63 | 1.57 | 1.51 | 1.48 | 1.44 | 1.40 | 1.36 | 1.31 | 1.19 | |
90 | 1.64 | 1.62 | 1.56 | 1.50 | 1.47 | 1.43 | 1.39 | 1.35 | 1.29 | 1.15 | |
100 | 1.64 | 1.61 | 1.56 | 1.49 | 1.46 | 1.42 | 1.38 | 1.34 | 1.28 | 1.11 | |
110 | 1.63 | 1.61 | 1.55 | 1.49 | 1.45 | 1.42 | 1.37 | 1.33 | 1.27 | 1.07 | |
120 | 1.63 | 1.60 | 1.55 | 1.48 | 1.45 | 1.41 | 1.37 | 1.72 | 1.26 | 1.03 | |
∞ | 1.58 | 1.55 | 1.49 | 1.42 | 1.38 | 1.34 | 1.30 | 1.67 | 1.17 | 1.00 | |
Critical values computed by John Timko. Used by permission. |