ν = (n-1) = number of degrees of freedom per data set
L = number of data setsAppendix E-1 Lower limit critical values for G tests on balanced designs; 1 ≤ ν ≤ 29;
ζ = 0.025: significance level α₁ = 0.025 for one-sided test and α₂ = 0.05 for two-sided test
L | Number of degrees of freedom per data set (ν) | ||||||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 11 | 13 | 16 | 19 | 24 | 29 | |
2 | 3.9E-04 | 0.0125 | 0.0381 | 0.0660 | 0.0917 | 0.1143 | 0.1341 | 0.1514 | 0.1665 | 0.1920 | 0.2126 | 0.2371 | 0.2563 | 0.2807 | 0.2990 |
3 | 6.9E-05 | 0.0042 | 0.0156 | 0.0297 | 0.0439 | 0.0570 | 0.0688 | 0.0794 | 0.0890 | 0.1054 | 0.1190 | 0.1355 | 0.1486 | 0.1657 | 0.1788 |
4 | 2.4E-05 | 0.0021 | 0.0088 | 0.0178 | 0.0272 | 0.0361 | 0.0444 | 0.0519 | 0.0588 | 0.0707 | 0.0807 | 0.0930 | 0.1030 | 0.1160 | 0.1260 |
5 | 1.1E-05 | 0.0013 | 0.0057 | 0.0121 | 0.0190 | 0.0257 | 0.0320 | 0.0378 | 0.0431 | 0.0524 | 0.0603 | 0.0700 | 0.0780 | 0.0885 | 0.0966 |
6 | 6.0E-06 | 8.3E-04 | 0.0041 | 0.0089 | 0.0143 | 0.0196 | 0.0246 | 0.0293 | 0.0336 | 0.0412 | 0.0477 | 0.0558 | 0.0624 | 0.0712 | 0.0780 |
7 | 3.6E-06 | 6.0E-04 | 0.0031 | 0.0069 | 0.0113 | 0.0156 | 0.0198 | 0.0237 | 0.0273 | 0.0337 | 0.0392 | 0.0461 | 0.0518 | 0.0593 | 0.0652 |
8 | 2.4E-06 | 4.5E-04 | 0.0024 | 0.0056 | 0.0092 | 0.0129 | 0.0164 | 0.0197 | 0.0228 | 0.0284 | 0.0331 | 0.0391 | 0.0441 | 0.0507 | 0.0559 |
9 | 1.6E-06 | 3.5E-04 | 0.0020 | 0.0046 | 0.0077 | 0.0109 | 0.0139 | 0.0168 | 0.0196 | 0.0244 | 0.0286 | 0.0339 | 0.0383 | 0.0442 | 0.0488 |
10 | 1.2E-06 | 2.8E-04 | 0.0016 | 0.0039 | 0.0066 | 0.0094 | 0.0121 | 0.0146 | 0.0170 | 0.0213 | 0.0251 | 0.0299 | 0.0338 | 0.0391 | 0.0432 |
11 | 8.5E-07 | 2.3E-04 | 0.0014 | 0.0034 | 0.0057 | 0.0082 | 0.0106 | 0.0129 | 0.0150 | 0.0189 | 0.0223 | 0.0266 | 0.0302 | 0.0350 | 0.0388 |
12 | 6.5E-07 | 1.9E-04 | 0.0012 | 0.0029 | 0.0050 | 0.0072 | 0.0094 | 0.0115 | 0.0134 | 0.0170 | 0.0200 | 0.0240 | 0.0272 | 0.0316 | 0.0351 |
13 | 5.0E-07 | 1.6E-04 | 0.0010 | 0.0026 | 0.0045 | 0.0065 | 0.0084 | 0.0103 | 0.0121 | 0.0153 | 0.0182 | 0.0218 | 0.0248 | 0.0289 | 0.0321 |
14 | 4.0E-07 | 1.4E-04 | 9.1E-04 | 0.0023 | 0.0040 | 0.0058 | 0.0076 | 0.0094 | 0.0110 | 0.0140 | 0.0166 | 0.0199 | 0.0227 | 0.0265 | 0.0295 |
15 | 3.2E-07 | 1.2E-04 | 8.1E-04 | 0.0021 | 0.0036 | 0.0053 | 0.0069 | 0.0085 | 0.0101 | 0.0128 | 0.0152 | 0.0184 | 0.0210 | 0.0245 | 0.0273 |
16 | 2.6E-07 | 1.0E-04 | 7.2E-04 | 0.0019 | 0.0033 | 0.0048 | 0.0064 | 0.0078 | 0.0093 | 0.0118 | 0.0141 | 0.0170 | 0.0194 | 0.0227 | 0.0254 |
17 | 2.2E-07 | 9.2E-05 | 6.5E-04 | 0.0017 | 0.0030 | 0.0044 | 0.0059 | 0.0072 | 0.0086 | 0.0110 | 0.0131 | 0.0158 | 0.0181 | 0.0212 | 0.0237 |
18 | 1.8E-07 | 8.2E-05 | 5.9E-04 | 0.0016 | 0.0028 | 0.0041 | 0.0054 | 0.0067 | 0.0080 | 0.0102 | 0.0122 | 0.0148 | 0.0169 | 0.0199 | 0.0222 |
19 | 1.6E-07 | 7.3E-05 | 5.4E-04 | 0.0014 | 0.0026 | 0.0038 | 0.0051 | 0.0063 | 0.0074 | 0.0096 | 0.0114 | 0.0139 | 0.0159 | 0.0187 | 0.0209 |
20 | 1.3E-07 | 6.6E-05 | 4.9E-04 | 0.0013 | 0.0024 | 0.0035 | 0.0047 | 0.0059 | 0.0070 | 0.0090 | 0.0107 | 0.0130 | 0.0150 | 0.0176 | 0.0197 |
21 | 1.1E-07 | 6.0E-05 | 4.5E-04 | 0.0012 | 0.0022 | 0.0033 | 0.0044 | 0.0055 | 0.0065 | 0.0084 | 0.0101 | 0.0123 | 0.0142 | 0.0167 | 0.0187 |
22 | 9.9E-08 | 5.4E-05 | 4.2E-04 | 0.0011 | 0.0021 | 0.0031 | 0.0042 | 0.0052 | 0.0062 | 0.0080 | 0.0096 | 0.0117 | 0.0134 | 0.0158 | 0.0177 |
23 | 8.6E-08 | 4.9E-05 | 3.9E-04 | 0.0011 | 0.0019 | 0.0029 | 0.0039 | 0.0049 | 0.0058 | 0.0075 | 0.0091 | 0.0111 | 0.0127 | 0.0150 | 0.0169 |
24 | 7.6E-08 | 4.5E-05 | 3.6E-04 | 0.0010 | 0.0018 | 0.0028 | 0.0037 | 0.0046 | 0.0055 | 0.0072 | 0.0086 | 0.0105 | 0.0121 | 0.0143 | 0.0161 |
25 | 6.7E-08 | 4.2E-05 | 3.4E-04 | 9.4E-04 | 0.0017 | 0.0026 | 0.0035 | 0.0044 | 0.0052 | 0.0068 | 0.0082 | 0.0100 | 0.0116 | 0.0137 | 0.0154 |
26 | 5.9E-08 | 3.8E-05 | 3.1E-04 | 8.8E-04 | 0.0016 | 0.0025 | 0.0033 | 0.0042 | 0.0050 | 0.0065 | 0.0078 | 0.0096 | 0.0111 | 0.0131 | 0.0147 |
27 | 5.3E-08 | 3.6E-05 | 2.9E-04 | 8.3E-04 | 0.0015 | 0.0023 | 0.0032 | 0.0040 | 0.0047 | 0.0062 | 0.0075 | 0.0092 | 0.0106 | 0.0125 | 0.0141 |
28 | 4.7E-08 | 3.3E-05 | 2.8E-04 | 7.9E-04 | 0.0015 | 0.0022 | 0.0030 | 0.0038 | 0.0045 | 0.0059 | 0.0072 | 0.0088 | 0.0102 | 0.0120 | 0.0135 |
29 | 4.2E-08 | 3.1E-05 | 2.6E-04 | 7.5E-04 | 0.0014 | 0.0021 | 0.0029 | 0.0036 | 0.0043 | 0.0057 | 0.0069 | 0.0084 | 0.0098 | 0.0116 | 0.0130 |
30 | 3.8E-08 | 2.9E-05 | 2.5E-04 | 7.1E-04 | 0.0013 | 0.0020 | 0.0028 | 0.0035 | 0.0042 | 0.0054 | 0.0066 | 0.0081 | 0.0094 | 0.0111 | 0.0125 |
31 | 3.5E-08 | 2.7E-05 | 2.3E-04 | 6.7E-04 | 0.0013 | 0.0019 | 0.0026 | 0.0033 | 0.0040 | 0.0052 | 0.0063 | 0.0078 | 0.0090 | 0.0107 | 0.0121 |
32 | 3.1E-08 | 2.5E-05 | 2.2E-04 | 6.4E-04 | 0.0012 | 0.0019 | 0.0025 | 0.0032 | 0.0038 | 0.0050 | 0.0061 | 0.0075 | 0.0087 | 0.0103 | 0.0117 |
33 | 2.9E-08 | 2.4E-05 | 2.1E-04 | 6.1E-04 | 0.0012 | 0.0018 | 0.0024 | 0.0031 | 0.0037 | 0.0048 | 0.0059 | 0.0072 | 0.0084 | 0.0100 | 0.0113 |
34 | 2.6E-08 | 2.2E-05 | 2.0E-04 | 5.8E-04 | 0.0011 | 0.0017 | 0.0023 | 0.0029 | 0.0035 | 0.0047 | 0.0057 | 0.0070 | 0.0081 | 0.0097 | 0.0109 |
35 | 2.4E-08 | 2.1E-05 | 1.9E-04 | 5.6E-04 | 0.0011 | 0.0016 | 0.0022 | 0.0028 | 0.0034 | 0.0045 | 0.0055 | 0.0068 | 0.0079 | 0.0094 | 0.0106 |
36 | 2.2E-08 | 2.0E-05 | 1.8E-04 | 5.4E-04 | 0.0010 | 0.0016 | 0.0022 | 0.0027 | 0.0033 | 0.0044 | 0.0053 | 0.0065 | 0.0076 | 0.0091 | 0.0102 |
37 | 2.0E-08 | 1.9E-05 | 1.7E-04 | 5.1E-04 | 0.0010 | 0.0015 | 0.0021 | 0.0026 | 0.0032 | 0.0042 | 0.0051 | 0.0063 | 0.0074 | 0.0088 | 0.0099 |
38 | 1.9E-08 | 1.8E-05 | 1.6E-04 | 4.9E-04 | 9.5E-04 | 0.0015 | 0.0020 | 0.0026 | 0.0031 | 0.0041 | 0.0050 | 0.0061 | 0.0071 | 0.0085 | 0.0096 |
39 | 1.7E-08 | 1.7E-05 | 1.6E-04 | 4.7E-04 | 9.1E-04 | 0.0014 | 0.0019 | 0.0025 | 0.0030 | 0.0039 | 0.0048 | 0.0060 | 0.0069 | 0.0083 | 0.0094 |
40 | 1.6E-08 | 1.6E-05 | 1.5E-04 | 4.6E-04 | 8.8E-04 | 0.0014 | 0.0019 | 0.0024 | 0.0029 | 0.0038 | 0.0047 | 0.0058 | 0.0067 | 0.0080 | 0.0091 |
45 | 1.1E-08 | 1.3E-05 | 1.2E-04 | 3.8E-04 | 7.5E-04 | 0.0012 | 0.0016 | 0.0021 | 0.0025 | 0.0033 | 0.0041 | 0.0050 | 0.0059 | 0.0070 | 0.0080 |
50 | 8.1E-09 | 1.0E-05 | 1.0E-04 | 3.2E-04 | 6.4E-04 | 0.0010 | 0.0014 | 0.0018 | 0.0022 | 0.0029 | 0.0036 | 0.0045 | 0.0052 | 0.0063 | 0.0071 |
55 | 6.1E-09 | 8.4E-06 | 8.8E-05 | 2.8E-04 | 5.6E-04 | 8.9E-04 | 0.0012 | 0.0016 | 0.0019 | 0.0026 | 0.0032 | 0.0040 | 0.0047 | 0.0056 | 0.0064 |
60 | 4.7E-09 | 7.1E-06 | 7.6E-05 | 2.5E-04 | 4.9E-04 | 7.9E-04 | 0.0011 | 0.0014 | 0.0017 | 0.0023 | 0.0029 | 0.0036 | 0.0042 | 0.0051 | 0.0058 |
65 | 3.7E-09 | 6.0E-06 | 6.7E-05 | 2.2E-04 | 4.4E-04 | 7.1E-04 | 0.0010 | 0.0013 | 0.0016 | 0.0021 | 0.0026 | 0.0033 | 0.0039 | 0.0047 | 0.0053 |
70 | 2.9E-09 | 5.2E-06 | 5.9E-05 | 1.9E-04 | 4.0E-04 | 6.4E-04 | 9.0E-04 | 0.0012 | 0.0014 | 0.0019 | 0.0024 | 0.0030 | 0.0036 | 0.0043 | 0.0049 |
75 | 2.4E-09 | 4.5E-06 | 5.2E-05 | 1.8E-04 | 3.6E-04 | 5.8E-04 | 8.2E-04 | 0.0011 | 0.0013 | 0.0018 | 0.0022 | 0.0028 | 0.0033 | 0.0040 | 0.0045 |
80 | 2.0E-09 | 4.0E-06 | 4.7E-05 | 1.6E-04 | 3.3E-04 | 5.3E-04 | 7.6E-04 | 0.0010 | 0.0012 | 0.0016 | 0.0020 | 0.0026 | 0.0030 | 0.0037 | 0.0042 |
90 | 1.4E-09 | 3.1E-06 | 3.9E-05 | 1.3E-04 | 2.8E-04 | 4.6E-04 | 6.5E-04 | 8.5E-04 | 0.0010 | 0.0014 | 0.0018 | 0.0023 | 0.0027 | 0.0032 | 0.0037 |
100 | 1.0E-09 | 2.5E-06 | 3.2E-05 | 1.1E-04 | 2.4E-04 | 4.0E-04 | 5.7E-04 | 7.4E-04 | 9.2E-04 | 0.0013 | 0.0016 | 0.0020 | 0.0024 | 0.0029 | 0.0033 |
120 | 5.8E-10 | 1.8E-06 | 2.4E-05 | 8.6E-05 | 1.9E-04 | 3.1E-04 | 4.5E-04 | 5.9E-04 | 7.3E-04 | 0.0010 | 0.0013 | 0.0016 | 0.0019 | 0.0024 | 0.0027 |
140 | 3.6E-10 | 1.3E-06 | 1.8E-05 | 6.8E-05 | 1.5E-04 | 2.5E-04 | 3.7E-04 | 4.8E-04 | 6.0E-04 | 8.4E-04 | 0.0011 | 0.0014 | 0.0016 | 0.0020 | 0.0023 |
160 | 2.4E-10 | 9.8E-07 | 1.5E-05 | 5.6E-05 | 1.2E-04 | 2.1E-04 | 3.1E-04 | 4.1E-04 | 5.1E-04 | 7.1E-04 | 9.0E-04 | 0.0012 | 0.0014 | 0.0017 | 0.0020 |
180 | 1.7E-10 | 7.8E-07 | 1.2E-05 | 4.7E-05 | 1.0E-04 | 1.8E-04 | 2.6E-04 | 3.5E-04 | 4.4E-04 | 6.2E-04 | 7.9E-04 | 0.0010 | 0.0012 | 0.0015 | 0.0017 |
200 | 1.2E-10 | 6.3E-07 | 1.0E-05 | 4.0E-05 | 9.0E-05 | 1.6E-04 | 2.3E-04 | 3.1E-04 | 3.9E-04 | 5.5E-04 | 6.9E-04 | 9.0E-04 | 0.0011 | 0.0013 | 0.0015 |
225 | 8.7E-11 | 5.0E-07 | 8.3E-06 | 3.3E-05 | 7.6E-05 | 1.3E-04 | 2.0E-04 | 2.7E-04 | 3.4E-04 | 4.7E-04 | 6.0E-04 | 7.8E-04 | 9.4E-04 | 0.0012 | 0.0014 |
250 | 6.3E-11 | 4.0E-07 | 7.0E-06 | 2.9E-05 | 6.6E-05 | 1.2E-04 | 1.7E-04 | 2.3E-04 | 2.9E-04 | 4.2E-04 | 5.3E-04 | 6.9E-04 | 8.4E-04 | 0.0010 | 0.0012 |
275 | 4.7E-11 | 3.3E-07 | 5.9E-06 | 2.5E-05 | 5.8E-05 | 1.0E-04 | 1.5E-04 | 2.1E-04 | 2.6E-04 | 3.7E-04 | 4.8E-04 | 6.2E-04 | 7.5E-04 | 9.3E-04 | 0.0011 |
300 | 3.7E-11 | 2.8E-07 | 5.1E-06 | 2.2E-05 | 5.1E-05 | 9.0E-05 | 1.4E-04 | 1.8E-04 | 2.3E-04 | 3.4E-04 | 4.3E-04 | 5.6E-04 | 6.8E-04 | 8.5E-04 | 0.0010 |
350 | 2.3E-11 | 2.0E-07 | 4.0E-06 | 1.7E-05 | 4.1E-05 | 7.3E-05 | 1.1E-04 | 1.5E-04 | 1.9E-04 | 2.8E-04 | 3.6E-04 | 4.7E-04 | 5.7E-04 | 7.2E-04 | 8.3E-04 |
400 | 1.5E-11 | 1.6E-07 | 3.2E-06 | 1.4E-05 | 3.4E-05 | 6.1E-05 | 9.3E-05 | 1.3E-04 | 1.6E-04 | 2.4E-04 | 3.1E-04 | 4.1E-04 | 4.9E-04 | 6.2E-04 | 7.2E-04 |
450 | 1.1E-11 | 1.2E-07 | 2.6E-06 | 1.2E-05 | 2.9E-05 | 5.2E-05 | 8.0E-05 | 1.1E-04 | 1.4E-04 | 2.1E-04 | 2.7E-04 | 3.5E-04 | 4.3E-04 | 5.4E-04 | 6.3E-04 |
500 | 7.9E-12 | 1.0E-07 | 2.2E-06 | 1.0E-05 | 2.5E-05 | 4.5E-05 | 7.0E-05 | 9.7E-05 | 1.2E-04 | 1.8E-04 | 2.4E-04 | 3.1E-04 | 3.8E-04 | 4.8E-04 | 5.6E-04 |
600 | 4.6E-12 | 7.0E-08 | 1.6E-06 | 7.6E-06 | 1.9E-05 | 3.6E-05 | 5.5E-05 | 7.7E-05 | 1.0E-04 | 1.5E-04 | 1.9E-04 | 2.5E-04 | 3.1E-04 | 3.9E-04 | 4.6E-04 |
700 | 2.9E-12 | 5.1E-08 | 1.3E-06 | 6.1E-06 | 1.6E-05 | 2.9E-05 | 4.5E-05 | 6.3E-05 | 8.2E-05 | 1.2E-04 | 1.6E-04 | 2.1E-04 | 2.6E-04 | 3.3E-04 | 3.9E-04 |
800 | 1.9E-12 | 3.9E-08 | 1.0E-06 | 5.0E-06 | 1.3E-05 | 2.4E-05 | 3.8E-05 | 5.4E-05 | 7.0E-05 | 1.0E-04 | 1.4E-04 | 1.8E-04 | 2.3E-04 | 2.9E-04 | 3.4E-04 |
900 | 1.3E-12 | 3.1E-08 | 8.2E-07 | 4.2E-06 | 1.1E-05 | 2.1E-05 | 3.3E-05 | 4.6E-05 | 6.0E-05 | 9.0E-05 | 1.2E-04 | 1.6E-04 | 2.0E-04 | 2.5E-04 | 3.0E-04 |
1000 | 9.8E-13 | 2.5E-08 | 6.9E-07 | 3.5E-06 | 9.4E-06 | 1.8E-05 | 2.9E-05 | 4.0E-05 | 5.3E-05 | 7.9E-05 | 1.1E-04 | 1.4E-04 | 1.8E-04 | 2.2E-04 | 2.6E-04 |
1500 | 2.9E-13 | 1.1E-08 | 3.5E-07 | 1.9E-06 | 5.3E-06 | 1.0E-05 | 1.7E-05 | 2.4E-05 | 3.2E-05 | 4.9E-05 | 6.5E-05 | 8.9E-05 | 1.1E-04 | 1.4E-04 | 1.7E-04 |
2000 | 1.2E-13 | 6.3E-09 | 2.2E-07 | 1.3E-06 | 3.6E-06 | 7.1E-06 | 1.2E-05 | 1.7E-05 | 2.3E-05 | 3.5E-05 | 4.7E-05 | 6.4E-05 | 8.0E-05 | 1.0E-04 | 1.2E-04 |
2500 | 6.3E-14 | 4.0E-09 | 1.5E-07 | 9.0E-07 | 2.6E-06 | 5.3E-06 | 8.7E-06 | 1.3E-05 | 1.7E-05 | 2.7E-05 | 3.6E-05 | 5.0E-05 | 6.3E-05 | 8.1E-05 | 9.7E-05 |
3000 | 3.6E-14 | 2.8E-09 | 1.1E-07 | 6.8E-07 | 2.0E-06 | 4.1E-06 | 6.9E-06 | 1.0E-05 | 1.4E-05 | 2.1E-05 | 2.9E-05 | 4.0E-05 | 5.1E-05 | 6.7E-05 | 8.0E-05 |
4000 | 1.5E-14 | 1.6E-09 | 6.8E-08 | 4.4E-07 | 1.3E-06 | 2.8E-06 | 4.8E-06 | 7.1E-06 | 9.6E-06 | 1.5E-05 | 2.1E-05 | 2.9E-05 | 3.7E-05 | 4.8E-05 | 5.8E-05 |
5000 | 7.9E-15 | 1.0E-09 | 4.7E-08 | 3.2E-07 | 9.8E-07 | 2.1E-06 | 3.6E-06 | 5.3E-06 | 7.3E-06 | 1.2E-05 | 1.6E-05 | 2.3E-05 | 2.9E-05 | 3.8E-05 | 4.6E-05 |
7500 | 2.2E-15 | 4.4E-10 | 2.4E-08 | 1.7E-07 | 5.6E-07 | 1.2E-06 | 2.1E-06 | 3.2E-06 | 4.5E-06 | 7.2E-06 | 1.0E-05 | 1.4E-05 | 1.8E-05 | 2.4E-05 | 3.0E-05 |
10⁴ | 1.0E-15 | 2.5E-10 | 1.5E-08 | 1.1E-07 | 3.7E-07 | 8.3E-07 | 1.5E-06 | 2.2E-06 | 3.1E-06 | 5.1E-06 | 7.2E-06 | 1.0E-05 | 1.3E-05 | 1.8E-05 | 2.2E-05 |
∞ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Appendix E-2 Lower limit critical values for G tests on balanced designs; 34 ≤ ν ≤ ∞;
ζ = 0.025: significance level α₁ = 0.025 for one-sided test and α₂ = 0.05 for two-sided test
L | Number of degrees of freedom per data set (ν) | ||||||||||||||
34 | 39 | 49 | 59 | 79 | 99 | 119 | 149 | 199 | 299 | 499 | 999 | 2499 | 9999 | ∞ | |
2 | 0.3134 | 0.3251 | 0.3432 | 0.3566 | 0.3755 | 0.3885 | 0.3981 | 0.4088 | 0.4210 | 0.4354 | 0.4499 | 0.4646 | 0.4776 | 0.4888 | 0.5000 |
3 | 0.1892 | 0.1977 | 0.2109 | 0.2209 | 0.2351 | 0.2450 | 0.2524 | 0.2606 | 0.2700 | 0.2814 | 0.2929 | 0.3046 | 0.3150 | 0.3242 | 0.3333 |
4 | 0.1341 | 0.1407 | 0.1510 | 0.1589 | 0.1702 | 0.1780 | 0.1839 | 0.1905 | 0.1982 | 0.2073 | 0.2167 | 0.2263 | 0.2349 | 0.2424 | 0.2500 |
5 | 0.1032 | 0.1086 | 0.1171 | 0.1236 | 0.1329 | 0.1394 | 0.1443 | 0.1498 | 0.1562 | 0.1639 | 0.1718 | 0.1798 | 0.1871 | 0.1935 | 0.2000 |
6 | 0.0835 | 0.0881 | 0.0953 | 0.1008 | 0.1088 | 0.1143 | 0.1185 | 0.1233 | 0.1287 | 0.1354 | 0.1422 | 0.1492 | 0.1555 | 0.1610 | 0.1667 |
7 | 0.0700 | 0.0739 | 0.0802 | 0.0850 | 0.0919 | 0.0968 | 0.1005 | 0.1046 | 0.1094 | 0.1152 | 0.1212 | 0.1274 | 0.1330 | 0.1379 | 0.1429 |
8 | 0.0601 | 0.0636 | 0.0691 | 0.0733 | 0.0795 | 0.0838 | 0.0871 | 0.0908 | 0.0950 | 0.1002 | 0.1056 | 0.1111 | 0.1161 | 0.1205 | 0.1250 |
9 | 0.0525 | 0.0557 | 0.0606 | 0.0644 | 0.0699 | 0.0738 | 0.0768 | 0.0801 | 0.0840 | 0.0887 | 0.0935 | 0.0985 | 0.1030 | 0.1070 | 0.1111 |
10 | 0.0466 | 0.0495 | 0.0540 | 0.0574 | 0.0624 | 0.0660 | 0.0686 | 0.0717 | 0.0752 | 0.0795 | 0.0839 | 0.0885 | 0.0926 | 0.0963 | 0.1000 |
11 | 0.0419 | 0.0445 | 0.0486 | 0.0517 | 0.0563 | 0.0596 | 0.0620 | 0.0648 | 0.0680 | 0.0720 | 0.0760 | 0.0803 | 0.0841 | 0.0875 | 0.0909 |
12 | 0.0380 | 0.0403 | 0.0441 | 0.0470 | 0.0513 | 0.0543 | 0.0566 | 0.0591 | 0.0621 | 0.0658 | 0.0695 | 0.0734 | 0.0770 | 0.0801 | 0.0833 |
13 | 0.0347 | 0.0369 | 0.0404 | 0.0431 | 0.0470 | 0.0498 | 0.0520 | 0.0543 | 0.0571 | 0.0605 | 0.0640 | 0.0677 | 0.0710 | 0.0739 | 0.0769 |
14 | 0.0319 | 0.0340 | 0.0373 | 0.0398 | 0.0434 | 0.0461 | 0.0480 | 0.0503 | 0.0529 | 0.0561 | 0.0593 | 0.0628 | 0.0659 | 0.0686 | 0.0714 |
15 | 0.0296 | 0.0315 | 0.0345 | 0.0369 | 0.0403 | 0.0428 | 0.0447 | 0.0468 | 0.0492 | 0.0522 | 0.0553 | 0.0585 | 0.0614 | 0.0640 | 0.0667 |
16 | 0.0275 | 0.0293 | 0.0322 | 0.0344 | 0.0377 | 0.0400 | 0.0417 | 0.0437 | 0.0460 | 0.0488 | 0.0517 | 0.0548 | 0.0576 | 0.0600 | 0.0625 |
17 | 0.0257 | 0.0274 | 0.0301 | 0.0322 | 0.0353 | 0.0375 | 0.0391 | 0.0410 | 0.0432 | 0.0459 | 0.0486 | 0.0515 | 0.0541 | 0.0565 | 0.0588 |
18 | 0.0241 | 0.0257 | 0.0283 | 0.0303 | 0.0332 | 0.0353 | 0.0368 | 0.0386 | 0.0407 | 0.0432 | 0.0459 | 0.0486 | 0.0511 | 0.0533 | 0.0556 |
19 | 0.0227 | 0.0242 | 0.0267 | 0.0286 | 0.0313 | 0.0333 | 0.0348 | 0.0365 | 0.0385 | 0.0409 | 0.0434 | 0.0460 | 0.0484 | 0.0505 | 0.0526 |
20 | 0.0215 | 0.0229 | 0.0252 | 0.0270 | 0.0297 | 0.0315 | 0.0330 | 0.0346 | 0.0365 | 0.0388 | 0.0412 | 0.0437 | 0.0459 | 0.0479 | 0.0500 |
21 | 0.0203 | 0.0217 | 0.0239 | 0.0256 | 0.0282 | 0.0299 | 0.0313 | 0.0329 | 0.0347 | 0.0369 | 0.0392 | 0.0415 | 0.0437 | 0.0456 | 0.0476 |
22 | 0.0193 | 0.0206 | 0.0227 | 0.0244 | 0.0268 | 0.0285 | 0.0298 | 0.0313 | 0.0330 | 0.0351 | 0.0373 | 0.0396 | 0.0417 | 0.0436 | 0.0455 |
23 | 0.0184 | 0.0196 | 0.0217 | 0.0232 | 0.0256 | 0.0272 | 0.0285 | 0.0299 | 0.0315 | 0.0336 | 0.0357 | 0.0379 | 0.0399 | 0.0417 | 0.0435 |
24 | 0.0175 | 0.0187 | 0.0207 | 0.0222 | 0.0244 | 0.0260 | 0.0272 | 0.0286 | 0.0302 | 0.0321 | 0.0342 | 0.0363 | 0.0382 | 0.0399 | 0.0417 |
25 | 0.0168 | 0.0179 | 0.0198 | 0.0212 | 0.0234 | 0.0249 | 0.0261 | 0.0274 | 0.0289 | 0.0308 | 0.0328 | 0.0348 | 0.0367 | 0.0383 | 0.0400 |
26 | 0.0160 | 0.0172 | 0.0190 | 0.0204 | 0.0224 | 0.0239 | 0.0250 | 0.0263 | 0.0278 | 0.0296 | 0.0315 | 0.0334 | 0.0352 | 0.0368 | 0.0385 |
27 | 0.0154 | 0.0165 | 0.0182 | 0.0196 | 0.0215 | 0.0230 | 0.0240 | 0.0253 | 0.0267 | 0.0284 | 0.0303 | 0.0322 | 0.0339 | 0.0355 | 0.0370 |
28 | 0.0148 | 0.0158 | 0.0175 | 0.0188 | 0.0207 | 0.0221 | 0.0231 | 0.0243 | 0.0257 | 0.0274 | 0.0292 | 0.0310 | 0.0327 | 0.0342 | 0.0357 |
29 | 0.0142 | 0.0152 | 0.0169 | 0.0181 | 0.0200 | 0.0213 | 0.0223 | 0.0234 | 0.0248 | 0.0264 | 0.0281 | 0.0299 | 0.0316 | 0.0330 | 0.0345 |
30 | 0.0137 | 0.0147 | 0.0162 | 0.0175 | 0.0193 | 0.0205 | 0.0215 | 0.0226 | 0.0239 | 0.0255 | 0.0272 | 0.0289 | 0.0305 | 0.0319 | 0.0333 |
31 | 0.0132 | 0.0142 | 0.0157 | 0.0169 | 0.0186 | 0.0198 | 0.0208 | 0.0219 | 0.0231 | 0.0247 | 0.0263 | 0.0280 | 0.0295 | 0.0309 | 0.0323 |
32 | 0.0128 | 0.0137 | 0.0151 | 0.0163 | 0.0180 | 0.0192 | 0.0201 | 0.0212 | 0.0224 | 0.0239 | 0.0254 | 0.0271 | 0.0286 | 0.0299 | 0.0313 |
33 | 0.0123 | 0.0132 | 0.0147 | 0.0158 | 0.0174 | 0.0186 | 0.0195 | 0.0205 | 0.0217 | 0.0231 | 0.0247 | 0.0262 | 0.0277 | 0.0290 | 0.0303 |
34 | 0.0119 | 0.0128 | 0.0142 | 0.0153 | 0.0169 | 0.0180 | 0.0189 | 0.0199 | 0.0210 | 0.0224 | 0.0239 | 0.0255 | 0.0269 | 0.0281 | 0.0294 |
35 | 0.0116 | 0.0124 | 0.0137 | 0.0148 | 0.0164 | 0.0175 | 0.0183 | 0.0193 | 0.0204 | 0.0218 | 0.0232 | 0.0247 | 0.0261 | 0.0273 | 0.0286 |
36 | 0.0112 | 0.0120 | 0.0133 | 0.0144 | 0.0159 | 0.0169 | 0.0178 | 0.0187 | 0.0198 | 0.0212 | 0.0226 | 0.0240 | 0.0254 | 0.0266 | 0.0278 |
37 | 0.0109 | 0.0117 | 0.0129 | 0.0139 | 0.0154 | 0.0165 | 0.0173 | 0.0182 | 0.0193 | 0.0206 | 0.0219 | 0.0234 | 0.0247 | 0.0258 | 0.0270 |
38 | 0.0106 | 0.0113 | 0.0126 | 0.0136 | 0.0150 | 0.0160 | 0.0168 | 0.0177 | 0.0187 | 0.0200 | 0.0213 | 0.0227 | 0.0240 | 0.0252 | 0.0263 |
39 | 0.0103 | 0.0110 | 0.0122 | 0.0132 | 0.0146 | 0.0156 | 0.0163 | 0.0172 | 0.0182 | 0.0195 | 0.0208 | 0.0221 | 0.0234 | 0.0245 | 0.0256 |
40 | 0.0100 | 0.0107 | 0.0119 | 0.0128 | 0.0142 | 0.0152 | 0.0159 | 0.0168 | 0.0178 | 0.0190 | 0.0203 | 0.0216 | 0.0228 | 0.0239 | 0.0250 |
45 | 0.0088 | 0.0094 | 0.0105 | 0.0113 | 0.0125 | 0.0134 | 0.0141 | 0.0148 | 0.0157 | 0.0168 | 0.0180 | 0.0192 | 0.0202 | 0.0212 | 0.0222 |
50 | 0.0078 | 0.0084 | 0.0094 | 0.0101 | 0.0112 | 0.0120 | 0.0126 | 0.0133 | 0.0141 | 0.0151 | 0.0161 | 0.0172 | 0.0182 | 0.0191 | 0.0200 |
55 | 0.0070 | 0.0076 | 0.0084 | 0.0091 | 0.0101 | 0.0109 | 0.0114 | 0.0120 | 0.0128 | 0.0137 | 0.0146 | 0.0156 | 0.0165 | 0.0173 | 0.0182 |
60 | 0.0064 | 0.0069 | 0.0077 | 0.0083 | 0.0092 | 0.0099 | 0.0104 | 0.0110 | 0.0117 | 0.0125 | 0.0134 | 0.0143 | 0.0151 | 0.0159 | 0.0167 |
65 | 0.0059 | 0.0063 | 0.0071 | 0.0076 | 0.0085 | 0.0091 | 0.0096 | 0.0101 | 0.0107 | 0.0115 | 0.0123 | 0.0132 | 0.0140 | 0.0147 | 0.0154 |
70 | 0.0054 | 0.0058 | 0.0065 | 0.0071 | 0.0079 | 0.0084 | 0.0089 | 0.0094 | 0.0100 | 0.0107 | 0.0114 | 0.0122 | 0.0130 | 0.0136 | 0.0143 |
75 | 0.0050 | 0.0054 | 0.0060 | 0.0066 | 0.0073 | 0.0078 | 0.0082 | 0.0087 | 0.0093 | 0.0100 | 0.0107 | 0.0114 | 0.0121 | 0.0127 | 0.0133 |
80 | 0.0047 | 0.0050 | 0.0056 | 0.0061 | 0.0068 | 0.0073 | 0.0077 | 0.0082 | 0.0087 | 0.0093 | 0.0100 | 0.0107 | 0.0113 | 0.0119 | 0.0125 |
90 | 0.0041 | 0.0044 | 0.0050 | 0.0054 | 0.0060 | 0.0065 | 0.0068 | 0.0072 | 0.0077 | 0.0083 | 0.0089 | 0.0095 | 0.0101 | 0.0106 | 0.0111 |
100 | 0.0037 | 0.0040 | 0.0044 | 0.0048 | 0.0054 | 0.0058 | 0.0061 | 0.0065 | 0.0069 | 0.0074 | 0.0080 | 0.0085 | 0.0090 | 0.0095 | 0.0100 |
120 | 0.0030 | 0.0032 | 0.0037 | 0.0040 | 0.0044 | 0.0048 | 0.0051 | 0.0054 | 0.0057 | 0.0061 | 0.0066 | 0.0071 | 0.0075 | 0.0079 | 0.0083 |
140 | 0.0025 | 0.0027 | 0.0031 | 0.0034 | 0.0038 | 0.0041 | 0.0043 | 0.0046 | 0.0049 | 0.0052 | 0.0056 | 0.0061 | 0.0064 | 0.0068 | 0.0071 |
160 | 0.0022 | 0.0024 | 0.0027 | 0.0029 | 0.0033 | 0.0035 | 0.0037 | 0.0040 | 0.0042 | 0.0046 | 0.0049 | 0.0053 | 0.0056 | 0.0059 | 0.0063 |
180 | 0.0019 | 0.0021 | 0.0024 | 0.0026 | 0.0029 | 0.0031 | 0.0033 | 0.0035 | 0.0038 | 0.0041 | 0.0044 | 0.0047 | 0.0050 | 0.0053 | 0.0056 |
200 | 0.0017 | 0.0019 | 0.0021 | 0.0023 | 0.0026 | 0.0028 | 0.0030 | 0.0032 | 0.0034 | 0.0036 | 0.0039 | 0.0042 | 0.0045 | 0.0047 | 0.0050 |
225 | 0.0015 | 0.0016 | 0.0019 | 0.0020 | 0.0023 | 0.0025 | 0.0026 | 0.0028 | 0.0030 | 0.0032 | 0.0035 | 0.0037 | 0.0040 | 0.0042 | 0.0044 |
250 | 0.0013 | 0.0015 | 0.0017 | 0.0018 | 0.0021 | 0.0022 | 0.0024 | 0.0025 | 0.0027 | 0.0029 | 0.0031 | 0.0034 | 0.0036 | 0.0038 | 0.0040 |
275 | 0.0012 | 0.0013 | 0.0015 | 0.0016 | 0.0019 | 0.0020 | 0.0021 | 0.0023 | 0.0024 | 0.0026 | 0.0028 | 0.0031 | 0.0033 | 0.0034 | 0.0036 |
300 | 0.0011 | 0.0012 | 0.0014 | 0.0015 | 0.0017 | 0.0018 | 0.0019 | 0.0021 | 0.0022 | 0.0024 | 0.0026 | 0.0028 | 0.0030 | 0.0032 | 0.0033 |
350 | 9.3E-04 | 0.0010 | 0.0012 | 0.0013 | 0.0014 | 0.0016 | 0.0017 | 0.0018 | 0.0019 | 0.0021 | 0.0022 | 0.0024 | 0.0026 | 0.0027 | 0.0029 |
400 | 8.1E-04 | 8.8E-04 | 0.0010 | 0.0011 | 0.0013 | 0.0014 | 0.0014 | 0.0015 | 0.0017 | 0.0018 | 0.0019 | 0.0021 | 0.0022 | 0.0024 | 0.0025 |
450 | 7.1E-04 | 7.8E-04 | 8.9E-04 | 0.0010 | 0.0011 | 0.0012 | 0.0013 | 0.0014 | 0.0015 | 0.0016 | 0.0017 | 0.0019 | 0.0020 | 0.0021 | 0.0022 |
500 | 6.3E-04 | 7.0E-04 | 8.0E-04 | 8.7E-04 | 0.0010 | 0.0011 | 0.0011 | 0.0012 | 0.0013 | 0.0014 | 0.0015 | 0.0017 | 0.0018 | 0.0019 | 0.0020 |
600 | 5.2E-04 | 5.7E-04 | 6.5E-04 | 7.2E-04 | 8.2E-04 | 8.9E-04 | 9.5E-04 | 0.0010 | 0.0011 | 0.0012 | 0.0013 | 0.0014 | 0.0015 | 0.0016 | 0.0017 |
700 | 4.4E-04 | 4.8E-04 | 5.6E-04 | 6.1E-04 | 7.0E-04 | 7.6E-04 | 8.1E-04 | 8.6E-04 | 9.3E-04 | 0.0010 | 0.0011 | 0.0012 | 0.0013 | 0.0013 | 0.0014 |
800 | 3.8E-04 | 4.2E-04 | 4.8E-04 | 5.3E-04 | 6.1E-04 | 6.6E-04 | 7.0E-04 | 7.5E-04 | 8.1E-04 | 8.8E-04 | 9.6E-04 | 0.0010 | 0.0011 | 0.0012 | 0.0013 |
900 | 3.4E-04 | 3.7E-04 | 4.3E-04 | 4.7E-04 | 5.4E-04 | 5.8E-04 | 6.2E-04 | 6.7E-04 | 7.2E-04 | 7.8E-04 | 8.5E-04 | 9.2E-04 | 9.9E-04 | 0.0010 | 0.0011 |
1000 | 3.0E-04 | 3.3E-04 | 3.8E-04 | 4.2E-04 | 4.8E-04 | 5.2E-04 | 5.6E-04 | 6.0E-04 | 6.4E-04 | 7.0E-04 | 7.6E-04 | 8.3E-04 | 8.9E-04 | 9.4E-04 | 0.0010 |
1500 | 1.9E-04 | 2.1E-04 | 2.5E-04 | 2.7E-04 | 3.1E-04 | 3.4E-04 | 3.7E-04 | 3.9E-04 | 4.2E-04 | 4.6E-04 | 5.1E-04 | 5.5E-04 | 5.9E-04 | 6.3E-04 | 6.7E-04 |
2000 | 1.4E-04 | 1.6E-04 | 1.8E-04 | 2.0E-04 | 2.3E-04 | 2.5E-04 | 2.7E-04 | 2.9E-04 | 3.2E-04 | 3.5E-04 | 3.8E-04 | 4.1E-04 | 4.4E-04 | 4.7E-04 | 5.0E-04 |
2500 | 1.1E-04 | 1.2E-04 | 1.4E-04 | 1.6E-04 | 1.8E-04 | 2.0E-04 | 2.2E-04 | 2.3E-04 | 2.5E-04 | 2.8E-04 | 3.0E-04 | 3.3E-04 | 3.5E-04 | 3.8E-04 | 4.0E-04 |
3000 | 9.1E-05 | 1.0E-04 | 1.2E-04 | 1.3E-04 | 1.5E-04 | 1.7E-04 | 1.8E-04 | 1.9E-04 | 2.1E-04 | 2.3E-04 | 2.5E-04 | 2.7E-04 | 2.9E-04 | 3.1E-04 | 3.3E-04 |
4000 | 6.7E-05 | 7.5E-05 | 8.7E-05 | 9.7E-05 | 1.1E-04 | 1.2E-04 | 1.3E-04 | 1.4E-04 | 1.6E-04 | 1.7E-04 | 1.9E-04 | 2.0E-04 | 2.2E-04 | 2.3E-04 | 2.5E-04 |
5000 | 5.3E-05 | 5.9E-05 | 6.9E-05 | 7.7E-05 | 8.9E-05 | 9.8E-05 | 1.1E-04 | 1.1E-04 | 1.2E-04 | 1.4E-04 | 1.5E-04 | 1.6E-04 | 1.8E-04 | 1.9E-04 | 2.0E-04 |
7500 | 3.4E-05 | 3.8E-05 | 4.5E-05 | 5.0E-05 | 5.8E-05 | 6.5E-05 | 6.9E-05 | 7.5E-05 | 8.1E-05 | 9.0E-05 | 9.9E-05 | 1.1E-04 | 1.2E-04 | 1.3E-04 | 1.3E-04 |
10⁴ | 2.5E-05 | 2.8E-05 | 3.3E-05 | 3.7E-05 | 4.3E-05 | 4.8E-05 | 5.2E-05 | 5.6E-05 | 6.1E-05 | 6.7E-05 | 7.4E-05 | 8.1E-05 | 8.8E-05 | 9.4E-05 | 1.0E-04 |
∞ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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