(五)确定P值,作出推论
若组数K=3,每组例数≤5,可查附表21-3“秩和检验用H界值表”得出P值;若超出附表21-3的范围,可按v=k-1查x2界值表得出P值。本例k=4,超出附表21-3范围,按v=4-1=3查x2界值表,x20.01(3)=11.34,P<0.01,按α=0.05检验水准拒绝H0,可认为四种功能区SO2日均浓度有差别。
附表21-1 符号秩和检验临界值表
对子数n | T0.05 | T0.02 | T0.01 | 对子数n | T0.05 | T0.02 | T0.01 |
6 | 0 | — | — | 16 | 29 | 23 | 19 |
7 | 2 | 0 | — | 17 | 34 | 27 | 23 |
8 | 3 | 1 | 0 | 18 | 40 | 32 | 27 |
9 | 5 | 3 | 1 | 19 | 46 | 37 | 32 |
10 | 8 | 5 | 3 | 20 | 52 | 43 | 37 |
11 | 10 | 7 | 5 | 21 | 58 | 49 | 42 |
12 | 13 | 9 | 7 | 22 | 65 | 55 | 48 |
13 | 17 | 12 | 9 | 23 | 73 | 62 | 54 |
14 | 21 | 15 | 12 | 24 | 81 | 69 | 61 |
15 | 25 | 19 | 15 | 25 | 89 | 76 | 68 |
附表21-2 等级总和数临界值(双侧检验)
n2较大n | P |
n1= 较 小 n | |||||||||||||
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | ||
4 | 0.05 | 10 | |||||||||||||
0.01 | — | ||||||||||||||
5 | 0.05 | 6 | 11 | 17 | |||||||||||
0.01 | — | — | 15 | ||||||||||||
6 | 0.05 | 7 | 12 | 18 | 26 | ||||||||||
0.01 | — | 10 | 16 | 23 | |||||||||||
7 | 0.05 | 7 | 13 | 20 | 27 | 36 | |||||||||
0.01 | — | 10 | 17 | 24 | 32 | ||||||||||
8 | 0.05 | 3 | 8 | 14 | 21 | 29 | 38 | 49 | |||||||
0.01 | — | — | 11 | 17 | 25 | 34 | 43 | ||||||||
9 | 0.05 | 3 | 8 | 15 | 22 | 31 | 40 | 51 | 63 | ||||||
0.01 | — | 6 | 11 | 18 | 26 | 35 | 45 | 56 | |||||||
10 | 0.05 | 3 | 9 | 15 | 23 | 32 | 42 | 53 | 65 | 78 | |||||
0.01 | — | 6 | 12 | 19 | 27 | 37 | 47 | 58 | 71 | ||||||
11 | 0.05 | 4 | 9 | 16 | 24 | 34 | 44 | 55 | 68 | 81 | 96 | ||||
0.01 | — | 6 | 12 | 20 | 28 | 38 | 49 | 61 | 74 | 87 | |||||
12 | 0.05 | 4 | 10 | 17 | 26 | 35 | 46 | 58 | 71 | 85 | 99 | 115 | |||
0.01 | — | 7 | 13 | 21 | 30 | 40 | 51 | 63 | 76 | 90 | 106 | ||||
13 | 0.05 | 4 | 10 | 18 | 27 | 37 | 48 | 60 | 73 | 88 | 103 | 119 | 137 | ||
0.01 | — | 7 | 14 | 22 | 31 | 41 | 53 | 65 | 79 | 93 | 109 | 125 | |||
14 | 0.05 | 4 | 11 | 19 | 28 | 38 | 50 | 63 | 76 | 91 | 106 | 123 | 141 | 160 | |
0.01 | — | 7 | 14 | 22 | 32 | 43 | 54 | 67 | 81 | 96 | 112 | 129 | 147 | ||
15 | 0.05 | 4 | 11 | 20 | 29 | 40 | 52 | 65 | 79 | 94 | 110 | 127 | 145 | 164 | 185 |
0.01 | — | 8 | 15 | 23 | 33 | 44 | 56 | 70 | 84 | 99 | 115 | 133 | 151 | 171 | |
16 | 0.05 | 4 | 12 | 21 | 31 | 42 | 54 | 67 | 82 | 97 | 114 | 131 | 150 | 169 | |
0.01 | — | 8 | 15 | 24 | 34 | 46 | 58 | 72 | 86 | 102 | 119 | 137 | 155 | ||
17 | 0.05 | 5 | 12 | 21 | 32 | 43 | 56 | 70 | 84 | 100 | 117 | 135 | 154 | ||
0.01 | — | 8 | 16 | 25 | 36 | 47 | 60 | 74 | 89 | 105 | 122 | 140 | |||
18 | 0.05 | 5 | 13 | 22 | 33 | 45 | 58 | 72 | 87 | 103 | 121 | 139 | |||
0.01 | — | 8 | 16 | 26 | 37 | 49 | 62 | 76 | 92 | 108 | 125 | ||||
19 | 0.05 | 5 | 13 | 23 | 34 | 46 | 60 | 74 | 90 | 107 | 124 | ||||
0.01 | 3 | 9 | 17 | 27 | 38 | 50 | 64 | 78 | 94 | 111 | |||||
20 | 0.05 | 5 | 14 | 24 | 35 | 48 | 62 | 77 | 93 | 110 | |||||
0.01 | 3 | 9 | 18 | 28 | 39 | 52 | 66 | 81 | 97 | ||||||
21 | 0.05 | 6 | 14 | 25 | 37 | 50 | 64 | 79 | 95 | ||||||
0.01 | 3 | 9 | 18 | 29 | 40 | 53 | 68 | 83 | |||||||
22 | 0.05 | 6 | 15 | 26 | 38 | 51 | 66 | 82 | |||||||
0.01 | 3 | 10 | 19 | 29 | 42 | 55 | 70 | ||||||||
23 | 0.05 | 6 | 15 | 27 | 39 | 53 | 68 | ||||||||
0.01 | 3 | 10 | 19 | 30 | 43 | 57 | |||||||||
24 | 0.05 | 6 | 16 | 28 | 40 | 55 | |||||||||
0.01 | 3 | 10 | 20 | 31 | 44 | ||||||||||
25 | 0.05 | 6 | 16 | 28 | 42 | ||||||||||
0.01 | 3 | 11 | 20 | 32 | |||||||||||
26 | 0.05 | 7 | 17 | 29 | |||||||||||
0.01 | 3 | 11 | 21 | ||||||||||||
27 | 0.05 | 7 | 17 | ||||||||||||
0.01 | 4 | 11 | |||||||||||||
28 | 0.05 | 7 | |||||||||||||
0.01 | 4 |
附表21-3 秩和检验用H界值表
n | n1 | n2 | n3 | P | |
0.05 | 0.01 | ||||
7 | 3 | 2 | 2 | 4.71 | |
3 | 3 | 1 | 5.14 | ||
8 | 3 | 3 | 2 | 5.36 | |
4 | 2 | 2 | 5.33 | ||
4 | 3 | 1 | 5.21 | ||
5 | 2 | 1 | 5.00 | ||
9 | 3 | 3 | 3 | 5.60 | 7.20 |
4 | 3 | 2 | 5.44 | 6.44 | |
4 | 4 | 1 | 4.97 | 6.67 | |
5 | 2 | 2 | 5.16 | 6.53 | |
5 | 3 | 1 | 4.96 | ||
10 | 4 | 3 | 3 | 5.73 | 6.75 |
4 | 4 | 2 | 5.45 | 7.04 | |
5 | 3 | 2 | 5.25 | 6.82 | |
5 | 4 | 1 | 4.99 | 6.95 | |
11 | 4 | 4 | 3 | 5.60 | 7.14 |
5 | 3 | 3 | 5.65 | 7.08 | |
5 | 4 | 2 | 5.27 | 7.12 | |
5 | 5 | 1 | 5.13 | 7.31 | |
12 | 4 | 4 | 4 | 5.69 | 7.65 |
5 | 4 | 3 | 5.63 | 7.44 | |
5 | 5 | 2 | 5.34 | 7.27 | |
13 | 5 | 4 | 4 | 5.26 | 7.76 |
5 | 5 | 3 | 5.71 | 7.54 | |
14 | 5 | 5 | 4 | 5.64 | 7.79 |
15 | 5 | 5 | 5 | 5.78 | 7.98 |