Critical values for two-tailed rejection region for mnDm, n c. The upper, middle and lower values are c0.10, c0.05 and c0.01 for each (m, n) | |||||||||||||||||||
3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | ||
- | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | 19 | 20 | |
2 | - | - | - | 10 | 12 | 14 | 16 | 18 | 18 | 20 | 22 | 24 | 24 | 26 | 28 | 30 | 32 | 32 | 34 |
- | - | - | - | - | - | 16 | 18 | 20 | 22 | 24 | 26 | 26 | 28 | 30 | 32 | 34 | 36 | 38 | |
- | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | 38 | 40 | |
3 | - | 9 | 12 | 15 | 15 | 18 | 21 | 21 | 24 | 27 | 27 | 30 | 33 | 33 | 36 | 36 | 39 | 42 | 42 |
- | - | - | 15 | 18 | 21 | 21 | 24 | 27 | 30 | 30 | 33 | 36 | 36 | 39 | 42 | 45 | 45 | 48 | |
- | - | - | - | - | - | - | 27 | 30 | 33 | 36 | 39 | 42 | 42 | 45 | 48 | 51 | 54 | 57 | |
4 | - | 12 | 16 | 16 | 18 | 21 | 24 | 27 | 28 | 29 | 36 | 35 | 38 | 40 | 44 | 44 | 46 | 49 | 52 |
- | - | 16 | 20 | 20 | 24 | 28 | 28 | 30 | 33 | 36 | 39 | 42 | 44 | 48 | 48 | 50 | 53 | 60 | |
- | - | - | - | 24 | 28 | 32 | 36 | 36 | 40 | 44 | 48 | 48 | 52 | 56 | 60 | 60 | 64 | 68 | |
5 | 10 | 15 | 16 | 20 | 24 | 25 | 27 | 30 | 35 | 35 | 36 | 40 | 42 | 50 | 48 | 50 | 52 | 56 | 60 |
- | 15 | 20 | 25 | 24 | 28 | 30 | 35 | 40 | 39 | 43 | 45 | 46 | 55 | 54 | 55 | 60 | 61 | 65 | |
- | - | - | 25 | 30 | 35 | 35 | 40 | 45 | 45 | 50 | 52 | 56 | 60 | 64 | 68 | 70 | 71 | 80 | |
6 | 12 | 15 | 18 | 24 | 30 | 28 | 30 | 33 | 36 | 38 | 48 | 46 | 48 | 51 | 54 | 56 | 66 | 64 | 66 |
- | 18 | 20 | 24 | 30 | 30 | 34 | 39 | 40 | 43 | 48 | 52 | 54 | 57 | 60 | 62 | 72 | 70 | 72 | |
- | - | 24 | 30 | 36 | 36 | 40 | 45 | 48 | 54 | 60 | 60 | 64 | 69 | 70 | 73 | 84 | 83 | 88 | |
7 | 14 | 18 | 21 | 25 | 28 | 38 | 34 | 36 | 40 | 44 | 46 | 50 | 56 | 56 | 59 | 61 | 65 | 69 | 72 |
- | 21 | 24 | 28 | 30 | 42 | 40 | 42 | 46 | 48 | 53 | 56 | 63 | 62 | 64 | 68 | 70 | 76 | 79 | |
- | - | 28 | 35 | 36 | 42 | 48 | 49 | 53 | 59 | 60 | 65 | 77 | 75 | 77 | 84 | 87 | 91 | 93 | |
8 | 16 | 21 | 24 | 27 | 30 | 34 | 40 | 40 | 44 | 48 | 52 | 54 | 58 | 60 | 72 | 68 | 72 | 74 | 80 |
16 | 21 | 28 | 30 | 34 | 40 | 48 | 46 | 48 | 53 | 60 | 62 | 64 | 67 | 80 | 77 | 80 | 82 | 88 | |
- | - | 32 | 35 | 40 | 48 | 56 | 55 | 60 | 64 | 68 | 72 | 76 | 81 | 88 | 88 | 94 | 98 | 104 | |
9 | 18 | 21 | 27 | 30 | 33 | 36 | 40 | 54 | 50 | 52 | 57 | 59 | 63 | 69 | 69 | 74 | 81 | 80 | 84 |
18 | 24 | 28 | 35 | 39 | 42 | 46 | 54 | 53 | 59 | 63 | 65 | 70 | 75 | 78 | 82 | 92 | 89 | 93 | |
- | 27 | 36 | 40 | 45 | 49 | 55 | 63 | 63 | 70 | 75 | 78 | 84 | 90 | 94 | 99 | 108 | 107 | 111 | |
10 | 18 | 24 | 28 | 35 | 36 | 40 | 44 | 50 | 60 | 57 | 60 | 64 | 68 | 75 | 76 | 79 | 82 | 85 | 100 |
20 | 27 | 30 | 40 | 40 | 46 | 48 | 53 | 70 | 60 | 66 | 70 | 74 | 80 | 84 | 89 | 92 | 94 | 110 | |
- | 30 | 36 | 45 | 48 | 53 | 60 | 63 | 80 | 77 | 80 | 84 | 90 | 100 | 100 | 106 | 108 | 113 | 130 | |
11 | 20 | 27 | 29 | 35 | 38 | 44 | 48 | 52 | 57 | 66 | 64 | 67 | 73 | 76 | 80 | 85 | 88 | 92 | 96 |
22 | 30 | 33 | 39 | 43 | 48 | 53 | 59 | 60 | 77 | 72 | 75 | 8 | 84 | 89 | 93 | 97 | 102 | 107 | |
- | 33 | 40 | 45 | 54 | 59 | 64 | 70 | 77 | 88 | 86 | 91 | 96 | 102 | 106 | 110 | 118 | 122 | 127 | |
12 | 22 | 27 | 36 | 36 | 48 | 46 | 52 | 57 | 60 | 64 | 72 | 71 | 78 | 84 | 88 | 90 | 96 | 99 | 104 |
24 | 30 | 36 | 43 | 48 | 53 | 60 | 63 | 66 | 72 | 84 | 81 | 86 | 93 | 96 | 100 | 108 | 108 | 116 | |
- | 36 | 44 | 50 | 60 | 60 | 68 | 75 | 80 | 86 | 96 | 95 | 104 | 108 | 116 | 119 | 126 | 130 | 140 | |
13 | 24 | 30 | 35 | 40 | 46 | 50 | 54 | 59 | 64 | 67 | 71 | 91 | 78 | 87 | 91 | 96 | 99 | 104 | 108 |
26 | 33 | 39 | 45 | 52 | 56 | 62 | 65 | 70 | 75 | 81 | 91 | 89 | 96 | 101 | 105 | 110 | 114 | 120 | |
- | 39 | 48 | 52 | 60 | 65 | 72 | 78 | 84 | 91 | 95 | 117 | 104 | 115 | 121 | 127 | 131 | 138 | 143 | |
14 | 24 | 33 | 38 | 42 | 48 | 56 | 58 | 63 | 68 | 73 | 78 | 78 | 98 | 92 | 96 | 100 | 104 | 110 | 114 |
26 | 36 | 42 | 46 | 54 | 63 | 64 | 70 | 74 | 82 | 86 | 89 | 112 | 98 | 106 | 111 | 116 | 121 | 126 | |
- | 47 | 48 | 56 | 64 | 77 | 76 | 84 | 90 | 96 | 104 | 104 | 126 | 123 | 126 | 134 | 140 | 148 | 152 | |
15 | 26 | 33 | 40 | 50 | 51 | 56 | 60 | 69 | 75 | 76 | 84 | 87 | 92 | 105 | 101 | 105 | 111 | 114 | 125 |
28 | 36 | 44 | 55 | 57 | 62 | 67 | 75 | 80 | 84 | 93 | 96 | 98 | 120 | 114 | 116 | 123 | 127 | 135 | |
- | 42 | 52 | 60 | 69 | 75 | 81 | 90 | 100 | 102 | 108 | 115 | 123 | 135 | 133 | 142 | 147 | 152 | 160 |