| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
0.001000 | 318.3 | 22.33 | 10.21 | 7.17 | 5.89 | 5.21 | 4.79 | 4.50 | 4.30 | 4.14 | |
0.000100 | 3183 | 70.7 | 22.20 | 13.03 | 9.68 | 8.02 | 7.06 | 6.44 | 6.01 | 5.69 | |
0.000010 | 31831 | 224 | 47.91 | 23.33 | 15.54 | 12.03 | 10.11 | 8.90 | 8.10 | 7.53 | |
0.000005 | 63652 | 316 | 60.40 | 27.82 | 17.89 | 13.55 | 11.22 | 9.79 | 8.83 | 8.15 |
Таблица 8
Значения квантилей распределения Стьюдента для уровней значимости
k | Двухсторонние интервалы | |||||
0.5 | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 | |
Односторонние интервалы | ||||||
0.25 | 0.1 | 0.02 | 0.025 | 0.01 | 0.005 | |
| ||||||
1 | 1 | 3.0777 | 6.3138 | 12.7062 | 31.8205 | 63.6567 |
2 | 0.8165 | 1.8856 | 2.9200 | 4.3027 | 6.9646 | 9.9248 |
3 | 0.7649 | 1.6377 | 2.3534 | 3.1824 | 4.5407 | 5.8409 |
4 | 0.7407 | 1.5332 | 2.1318 | 2.7764 | 3.7469 | 4.6041 |
5 | 0.7267 | 1.4759 | 2.0150 | 2.5706 | 3.3649 | 4.0321 |
6 | 0.7176 | 1.4398 | 1.9432 | 2.4469 | 3.1427 | 3.7074 |
7 | 0.7111 | 1.4149 | 1.8946 | 2.3646 | 2.998 | 3.4995 |
8 | 0.7064 | 1.3968 | 1.8595 | 2.306 | 2.8965 | 3.3554 |
9 | 0.7027 | 1.3830 | 1.8331 | 2.2622 | 2.8214 | 3.2498 |
10 | 0.6998 | 1.3722 | 1.8125 | 2.2281 | 2.7638 | 3.1693 |
11 | 0.6974 | 1.3634 | 1.7959 | 2.201 | 2.7181 | 3.1058 |
12 | 0.6955 | 1.3562 | 1.7823 | 2.1788 | 2.681 | 3.0545 |
13 | 0.5938 | 1.3502 | 1.7709 | 2.1604 | 2.6503 | 3.0123 |
14 | 0.6924 | 1.3450 | 1.7613 | 2.1448 | 2.6245 | 2.9768 |
15 | 0.6912 | 1.3406 | 1.7530 | 2.1314 | 2.6025 | 2.9467 |
16 | 0.6901 | 1.3368 | 1.7459 | 2.1199 | 2.5835 | 2.9208 |
17 | 0.6892 | 1.3334 | 1.7396 | 2.1098 | 2.5669 | 2.8982 |
18 | 0.6884 | 1.3304 | 1.7341 | 2.1009 | 2.5524 | 2.8784 |
19 | 0.6876 | 1.3277 | 1.7291 | 2.0930 | 2.5395 | 2.8609 |
20 | 0.6870 | 1.3253 | 1.7247 | 2.0860 | 2.5280 | 2.8453 |
21 | 0.6864 | 1.3232 | 1.7207 | 2.0796 | 2.5176 | 2.8314 |
22 | 0.6858 | 1.3212 | 1.7171 | 2.0739 | 2.5083 | 2.8188 |
23 | 0.6853 | 1.3195 | 1.7139 | 2.0687 | 2.4999 | 2.8073 |
24 | 0.6848 | 1.3178 | 1.7109 | 2.0639 | 2.4922 | 2.7969 |
25 | 0.6844 | 1.3163 | 1.7081 | 2.0595 | 2.4851 | 2.7874 |
26 | 0.6840 | 1.3150 | 1.7056 | 2.0555 | 2.4786 | 2.7787 |
27 | 0.6837 | 1.3137 | 1.7033 | 2.0518 | 2.4727 | 2.7707 |
28 | 0.6834 | 1.3125 | 1.7011 | 2.0484 | 2.4671 | 2.7633 |
29 | 0.6830 | 1.3114 | 1.6991 | 2.0452 | 2.4620 | 2.7564 |
30 | 0.6828 | 1.3104 | 1.6973 | 2.0423 | 2.4573 | 2.7500 |
32 | 0.6822 | 1.3086 | 1.6939 | 2.0369 | 2.4487 | 2.7385 |
34 | 0.6818 | 1.0307 | 1.6909 | 2.0322 | 2.4411 | 2.7284 |
36 | 0.6814 | 1.3055 | 1.6883 | 2.0281 | 2.4345 | 2.7195 |
38 | 0.6810 | 1.3042 | 1.6860 | 2.0244 | 2.4286 | 2.7116 |
40 | 0.6807 | 1.3031 | 1.6839 | 2.0211 | 2.4233 | 2.7045 |
42 | 0.6804 | 1.3020 | 1.6820 | 2.0181 | 2.4185 | 2.6981 |
44 | 0.6801 | 1.3011 | 1.6802 | 2.0154 | 2.4141 | 2.6923 |
46 | 0.6799 | 1.3002 | 1.6787 | 2.0129 | 2.4102 | 2.6870 |
48 | 0.6796 | 1.2994 | 1.6772 | 2.0106 | 2.4066 | 2.6822 |
50 | 0.6794 | 1.2987 | 1.6759 | 2.0086 | 2.4033 | 2.6778 |
55 | 0.6790 | 1.2971 | 1.6730 | 2.0040 | 2.3961 | 2.6682 |
60 | 0.6786 | 1.2958 | 1.6706 | 2.0003 | 2.3901 | 2.6603 |
65 | 0.6783 | 1.2947 | 1.6686 | 1.9971 | 2.3851 | 2.6536 |
70 | 0.6780 | 1.2938 | 1.6669 | 1.9944 | 2.3808 | 2.6479 |
80 | 0.6776 | 1.2922 | 1.6641 | 1.9901 | 2.3739 | 2.6387 |
90 | 0.6772 | 1.2910 | 1.6620 | 1.9867 | 2.3685 | 2.6316 |
100 | 0.6770 | 1.2901 | 1.6602 | 1.9840 | 2.3642 | 2.6259 |
120 | 0.6765 | 1.2886 | 1.6577 | 1.9799 | 2.3578 | 2.6174 |
150 | 0.6761 | 1.2872 | 1.6551 | 1.9759 | 2.3515 | 2.6090 |
200 | 0.6757 | 1.2858 | 1.6525 | 1.9719 | 2.3451 | 2.6006 |
250 | 0.6755 | 1.2849 | 1.6510 | 1.9695 | 2.3414 | 2.5956 |
300 | 0.6753 | 1.2844 | 1.6499 | 1.9679 | 2.3388 | 2.5923 |
400 | 0.6751 | 1.2837 | 1.6487 | 1.9659 | 2.3357 | 2.5882 |
500 | 0.6750 | 1.2832 | 1.6479 | 1.9647 | 2.3338 | 2.5857 |
Таблица 9
Значения верхнего предела распределения в зависимости от вероятностей и числа степеней свободы k
k | Уровни значимости α | |||||||||
0.99 | 0.975 | 0.95 | 0.9 | 0.8 | 0.2 | 0.1 | 0.05 | 0.025 | 0.01 | |
1 | 0.03157 | 0.03982 | 0.02393 | 0.0158 | 0.0642 | 1.648 | 2.706 | 3.841 | 5.024 | 6.635 |
2 | 0.0201 | 0.0506 | 0.103 | 0.211 | 0.446 | 3.219 | 4.605 | 5.991 | 7.378 | 9.21 |
3 | 0.115 | 0.216 | 0.352 | 0.584 | 1.005 | 4.642 | 6.251 | 7.815 | 9.348 | 11.346 |
4 | 0.297 | 0.484 | 0.711 | 1.064 | 1.649 | 5.989 | 7.779 | 9.488 | 11.143 | 13.277 |
5 | 0.554 | 0.831 | 1.145 | 1.610 | 2.343 | 7.289 | 9.236 | 11.070 | 12.832 | 15.085 |
6 | 0.872 | 1.237 | 1.635 | 2.204 | 3.070 | 8.558 | 10.545 | 12.592 | 14.449 | 16.812 |
7 | 1.239 | 1.690 | 2.167 | 2.833 | 3.822 | 9.803 | 12.017 | 14.067 | 16.013 | 18.475 |
8 | 1.646 | 2.180 | 2.733 | 3.400 | 4.594 | 11.030 | 13.362 | 15.507 | 17.535 | 20.090 |
9 | 2.088 | 2.700 | 3.325 | 4.168 | 5.380 | 12.242 | 14.684 | 16.919 | 19.023 | 21.666 |
10 | 2.558 | 3.247 | 3.940 | 4.865 | 6.179 | 13.442 | 15.987 | 18.307 | 20.483 | 23.209 |
11 | 3.053 | 3.816 | 4.575 | 5.578 | 6.989 | 14.631 | 17.275 | 19.675 | 21.920 | 24.726 |
12 | 3.571 | 4.404 | 5.226 | 6.304 | 7.807 | 15.812 | 18.549 | 21.026 | 23.336 | 26.217 |
13 | 4.107 | 5.009 | 5.892 | 7.042 | 8.634 | 16.985 | 19.812 | 22.362 | 24.736 | 27.688 |
14 | 4.660 | 5.629 | 6.571 | 7.790 | 9.467 | 18.151 | 21.064 | 23.685 | 26.119 | 29.141 |
15 | 5.229 | 6.262 | 7.261 | 8.547 | 10.307 | 19.311 | 22.307 | 24.996 | 27.488 | 30.578 |
16 | 5.812 | 6.908 | 7.962 | 9.312 | 11.152 | 20.465 | 23.542 | 26.296 | 28.845 | 32.000 |
17 | 5.408 | 7.564 | 8.672 | 10.085 | 12.002 | 21.615 | 24.769 | 27.587 | 30.191 | 33.409 |
18 | 7.015 | 8.231 | 9.390 | 10.865 | 12.857 | 22.760 | 25.989 | 28.869 | 31.526 | 34.805 |
19 | 7.633 | 8.907 | 10.117 | 11.651 | 13.716 | 23.900 | 27.204 | 30.144 | 32.852 | 36.191 |
20 | 8.260 | 9.591 | 10.851 | 12.443 | 14.578 | 25.038 | 28.412 | 31.410 | 34.170 | 37.566 |
21 | 8.897 | 10.283 | 11.591 | 13.240 | 15.445 | 26.171 | 29.615 | 32.671 | 35.479 | 38.932 |
22 | 9.542 | 10.982 | 12.338 | 14.041 | 16.314 | 27.301 | 30.813 | 33.924 | 36.781 | 40.289 |
23 | 10.196 | 11.688 | 13.091 | 14.848 | 17.187 | 28.429 | 32.007 | 35.172 | 38.076 | 41.638 |
24 | 10.856 | 12.401 | 13.848 | 15.659 | 18.062 | 29.553 | 33.196 | 36.415 | 39.364 | 42.980 |
25 | 11.524 | 13.120 | 14.611 | 16.473 | 18.940 | 30.675 | 34.382 | 37.652 | 40.646 | 44.314 |
26 | 12.198 | 13.844 | 15.379 | 17.292 | 19.820 | 31.795 | 35.563 | 38.885 | 41.923 | 45.642 |
27 | 12.879 | 14.573 | 16.151 | 18.114 | 20.703 | 32.912 | 36.741 | 40.113 | 43.194 | 46.963 |
28 | 13.565 | 15.308 | 16.928 | 18.939 | 21.588 | 34.027 | 37.916 | 41.337 | 44.461 | 48.218 |
29 | 14.256 | 16.047 | 17.708 | 19.768 | 22.475 | 35.139 | 39.087 | 42.557 | 45.722 | 49.588 |
30 | 14.953 | 16.791 | 18.493 | 20.599 | 23.364 | 36.250 | 40.256 | 43.773 | 46.979 | 50.892 |
31 | 15.655 | 17.539 | 19.281 | 21.434 | 24.255 | 37.359 | 41.422 | 44.985 | 48.232 | 52.191 |
32 | 16.362 | 18.291 | 20.072 | 22.271 | 25.148 | 38.466 | 42.585 | 46.194 | 49.480 | 53.486 |
33 | 17.073 | 19.047 | 20.867 | 23.110 | 26.042 | 39.572 | 43.745 | 47.400 | 50.725 | 54.116 |
34 | 17.789 | 19.806 | 21.664 | 23.952 | 26.938 | 40.676 | 44.903 | 48.602 | 51.966 | 56.061 |
35 | 18.509 | 20.569 | 22.465 | 24.797 | 27.836 | 41.778 | 46.059 | 49.802 | 53.203 | 57.342 |
36 | 19.233 | 21.336 | 23.269 | 25.643 | 28.735 | 42.879 | 47.212 | 50.998 | 54.437 | 58.619 |
37 | 19.960 | 22.106 | 24.075 | 26.492 | 29.635 | 43.978 | 48.363 | 52.192 | 55.668 | 59.892 |
38 | 20.691 | 22.878 | 24.884 | 27.343 | 30.537 | 45.076 | 49.513 | 53.384 | 56.895 | 61.162 |
39 | 21.426 | 23.654 | 25.695 | 28.196 | 31.441 | 46.173 | 50.660 | 54.572 | 58.120 | 62.428 |
40 | 22.164 | 24.433 | 26.509 | 29.061 | 32.345 | 47.269 | 51.806 | 55.758 | 59.342 | 63.691 |
41 | 22.906 | 25.215 | 27.326 | 29.907 | 33.251 | 48.363 | 52.949 | 56.942 | 60.610 | 64.950 |
42 | 23.650 | 25.999 | 28.144 | 30.765 | 34.157 | 49.456 | 54.090 | 58.124 | 61.777 | 66.206 |
43 | 24.398 | 26.785 | 28.966 | 31.625 | 35.065 | 50.548 | 55.230 | 59.304 | 62.990 | 67.459 |
44 | 25.148 | 27.575 | 29.787 | 32.487 | 35.974 | 51.639 | 56.369 | 60.481 | 64.201 | 68.709 |
45 | 25.901 | 28.366 | 30.612 | 33.350 | 36.884 | 52.729 | 57.505 | 61.656 | 65.410 | 69.957 |
46 | 26.657 | 29.160 | 31.439 | 34.215 | 37.795 | 53.818 | 58.641 | 62.830 | 66.617 | 71.201 |
47 | 27.416 | 29.956 | 32.268 | 35.081 | 38.708 | 54.906 | 59.774 | 64.001 | 67.821 | 72.443 |
48 | 28.177 | 30.755 | 33.098 | 35.949 | 39.621 | 55.993 | 60.907 | 65.171 | 69.023 | 73.683 |
49 | 28.941 | 31.555 | 33.930 | 36.818 | 40.534 | 57.079 | 62.038 | 66.339 | 70.222 | 74.919 |
50 | 29.707 | 32.357 | 34.764 | 37.689 | 41.449 | 58.164 | 63.167 | 67.505 | 71.420 | 76.154 |
51 | 30.475 | 33.162 | 35.600 | 38.560 | 42.365 | 59.248 | 64.295 | 68.669 | 72.616 | 77.386 |
52 | 31.246 | 33.968 | 96.437 | 39.433 | 43.281 | 60.332 | 65.422 | 69.832 | 73.810 | 78.616 |
53 | 32.018 | 34.776 | 37.276 | 40.308 | 44.199 | 61.414 | 66.548 | 70.993 | 75.002 | 79.843 |
54 | 32.793 | 35.586 | 38.116 | 41.183 | 45.117 | 62.496 | 67.673 | 72.153 | 76.192 | 81.069 |
55 | 33.570 | 36.398 | 38.958 | 42.060 | 46.036 | 63.577 | 68.796 | 73.311 | 77.380 | 82.292 |
56 | 34.350 | 37.212 | 39.801 | 42.937 | 46.955 | 64.658 | 69.918 | 74.468 | 78.567 | 83.513 |
57 | 35.131 | 38.027 | 40.646 | 43.816 | 47.876 | 65.737 | 71.040 | 75.624 | 79.752 | 84.733 |
58 | 35.913 | 38.844 | 41.492 | 44.696 | 48.797 | 66.816 | 72.160 | 76.778 | 80.936 | 85.950 |
59 | 36.698 | 39.662 | 42.339 | 45.577 | 49.718 | 67.894 | 73.279 | 77.931 | 82.117 | 87.166 |
60 | 37.485 | 40.482 | 43.188 | 46.459 | 50.641 | 68.972 | 74.397 | 79.082 | 83.298 | 88.379 |
61 | 38.273 | 41.303 | 44.038 | 47.342 | 51.564 | 70.049 | 75.514 | 80.232 | 84.476 | 89.591 |
62 | 39.063 | 42.126 | 44.889 | 48.226 | 52.487 | 71.125 | 76.630 | 81.381 | 85.654 | 90.802 |
63 | 39.855 | 42.950 | 45.741 | 49.111 | 53.412 | 72.201 | 77.745 | 82.529 | 86.830 | 92.010 |
64 | 40.649 | 43.776 | 46.595 | 49.996 | 54.336 | 73.276 | 78.860 | 83.675 | 88.004 | 93.217 |
65 | 41.444 | 44.603 | 47.450 | 50.883 | 55.262 | 74.351 | 79.973 | 84.821 | 89.177 | 94.422 |
66 | 42.240 | 45.431 | 48.305 | 51.770 | 56.188 | 75.425 | 81.086 | 85.965 | 90.349 | 95.626 |
67 | 43.038 | 46.261 | 49.162 | 52.659 | 57.115 | 76.498 | 82.197 | 87.108 | 91.519 | 96.828 |
68 | 43.838 | 47.092 | 50.020 | 53.548 | 58.042 | 77.571 | 83.308 | 88.250 | 92.688 | 98.028 |
69 | 44.639 | 47.924 | 50.879 | 54.438 | 58.970 | 78.643 | 84.418 | 89.391 | 93.856 | 99.227 |
70 | 45.442 | 48.758 | 51.739 | 55.329 | 59.898 | 79.715 | 85.527 | 90.531 | 95.023 | 100.425 |
71 | 46.246 | 49.592 | 52.600 | 56.221 | 60.827 | 80.786 | 86.635 | 91.670 | 96.189 | 101.621 |
72 | 47.051 | 50.428 | 53.462 | 57.113 | 61.756 | 81.857 | 67.743 | 92.808 | 97.353 | 102.816 |
73 | 47.858 | 51.265 | 54.325 | 58.006 | 62.686 | 82.927 | 88.850 | 93.945 | 98.516 | 104.010 |
74 | 48.666 | 52.103 | 55.189 | 58.900 | 63.616 | 83.997 | 89.956 | 95.081 | 99.678 | 105.202 |
75 | 49.475 | 52.942 | 56.054 | 59.795 | 64.547 | 85.066 | 91.061 | 96.217 | 100.839 | 106.393 |
76 | 50.286 | 53.782 | 56.920 | 60.590 | 65.478 | 86.135 | 92.166 | 97.351 | 101.999 | 107.582 |
77 | 51.097 | 54.623 | 57.786 | 61.586 | 66.409 | 87.203 | 93.270 | 98.484 | 103.158 | 108.771 |
78 | 51.910 | 55.466 | 58.654 | 62.483 | 67.341 | 88.271 | 94.374 | 99.617 | 104.316 | 109.958 |
79 | 52.725 | 56.309 | 59.522 | 63.380 | 68.274 | 89.338 | 95.476 | 100.749 | 105.473 | 111.144 |
80 | 53.540 | 57.153 | 60.391 | 64.278 | 69.207 | 90.405 | 96.578 | 101.879 | 106.629 | 112.329 |
81 | 54.357 | 57.998 | 61.251 | 65.176 | 70.140 | 91.472 | 97.680 | 103.010 | 107.783 | 113.512 |
82 | 55.174 | 58.845 | 62.132 | 66.076 | 71.074 | 92.538 | 98.780 | 104.139 | 108.937 | 114.695 |
83 | 55.993 | 59.692 | 63.004 | 66.976 | 72.008 | 93.604 | 99.880 | 105.267 | 110.090 | 115.876 |
84 | 56.813 | 60.540 | 63.876 | 67.876 | 72.943 | 94.669 | 100.980 | 106.395 | 111.242 | 117.057 |
85 | 57.634 | 61.389 | 64.749 | 68.777 | 73.878 | 95.734 | 102.079 | 107.522 | 112.393 | 118.236 |
86 | 58.456 | 62.239 | 65.623 | 69.679 | 74.813 | 96.799 | 103.177 | 108.648 | 113.544 | 119.414 |
87 | 59.279 | 63.089 | 66.498 | 70.581 | 75.749 | 97.863 | 104.275 | 109.773 | 114.693 | 120.591 |
88 | 60.103 | 63.941 | 67.373 | 71.484 | 76.685 | 98.927 | 105.312 | 110.898 | 115.841 | 121.767 |
89 | 60.928 | 64.793 | 68.249 | 72.387 | 77.622 | 99.991 | 106.469 | 112.022 | 116.989 | 122.942 |
90 | 61.754 | 65.647 | 69.126 | 73.291 | 78.558 | 101.054 | 107.565 | 113.145 | 118.136 | 124.116 |
91 | 62.581 | 66.501 | 70.003 | 74.196 | 79.496 | 102.170 | 108.661 | 114.268 | 119.282 | 125.289 |
92 | 63.409 | 67.356 | 70.882 | 75.101 | 80.433 | 103.179 | 109.756 | 115.390 | 120.427 | 126.462 |
93 | 64.238 | 68.211 | 71.760 | 76.006 | 81.371 | 104.241 | 110.850 | 116.511 | 121.571 | 127.633 |
94 | 65.068 | 69.068 | 72.640 | 76.912 | 82.309 | 105.303 | 111.944 | 117.632 | 122.715 | 128.803 |
95 | 65.898 | 69.925 | 73.520 | 77.818 | 83.248 | 106.364 | 113.038 | 118.752 | 123.858 | 129.973 |
96 | 65.730 | 70.783 | 74.400 | 78.725 | 84.187 | 107.425 | 114.131 | 119.871 | 125.000 | 131.141 |
97 | 67.562 | 71.642 | 75.282 | 79.633 | 85.126 | 108.486 | 115.223 | 120.990 | 126.141 | 132.309 |
98 | 68.396 | 72.501 | 76.164 | 80.541 | 86.065 | 109.547 | 116.315 | 122.108 | 127.282 | 133.476 |
99 | 69.230 | 73.361 | 77.046 | 81.449 | 87.005 | 110.607 | 117.407 | 123.225 | 128.422 | 134.642 |
100 | 70.065 | 74.222 | 77.929 | 82.358 | 87.945 | 111.667 | 118.498 | 125.342 | 129.561 | 135.807 |
110 | 77.750 | 86.600 | 91.400 | 97.440 | 122.310 | 129.290 | 135.140 | |||
120 | 86.200 | 95.500 | 100.540 | 106.870 | 132.850 | 140.120 | 146.000 | |||
130 | 94.670 | 104.400 | 108.670 | 116.280 | 143.360 | 150.860 | 157.680 | |||
140 | 103.250 | 113.400 | 118.890 | 125.770 | 153.830 | 162.640 | 168.180 | |||
150 | 111.900 | 122.460 | 128.160 | 135.300 | 154.350 | 172.430 | 179.170 | |||
160 | 118.590 | 131.350 | 137.450 | 144.840 | 174.850 | 183.170 | 190.130 | |||
170 | 129.290 | 140.620 | 146.720 | 154.350 | 185.280 | 193.850 | 202.000 | |||
180 | 138.110 | 149.820 | 151.120 | 163.990 | 195.820 | 104.830 | 211.900 | |||
190 | 146.890 | 158.960 | 165.440 | 173.550 | 206.250 | 215.280 | 222.820 | |||
200 | 155.590 | 168.000 | 174.000 | 182.980 | 216.530 | 225.780 | 233.500 | |||
210 | 164.530 | 177.290 | 184.130 | 192.670 | 227.060 | 236.530 | 244.430 | |||
220 | 173.350 | 186.440 | 193.460 | 202.240 | 237.400 | 247.090 | 255.160 | |||
230 | 182.220 | 195.630 | 202.810 | 211.770 | 247.760 | 257.650 | 265.880 | |||
240 | 191.300 | 205.030 | 212.390 | 221.550 | 258.330 | 268.430 | 276.830 | |||
250 | 200.200 | 214.250 | 221.760 | 231.130 | 268.660 | 278.950 | 287.520 |
Таблица 10
Квантили F - распределения
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
1 | 647.79 | 799.5 | 864.16 | 899.58 | 921.85 | 937.11 | 948.22 | 956.66 | 963.28 | |
2 | 38.506 | 39 | 39.165 | 39.248 | 39.298 | 39.331 | 39.355 | 39.373 | 39.387 | |
3 | 17.443 | 16.044 | 15.439 | 15.101 | 14.885 | 14.735 | 14.624 | 14.54 | 14.473 | |
4 | 12.218 | 10.649 | 9.9792 | 9.0045 | 9.3645 | 9.1973 | 9.0741 | 8.9796 | 8.9047 | |
5 | 10.007 | 8.4336 | 7.7636 | 7.3879 | 7.1464 | 6.9777 | 6.8531 | 6.7572 | 6.681 | |
6 | 8.8131 | 7.2598 | 6.5988 | 6.2272 | 5.9876 | 5.8197 | 5.6955 | 5.5996 | 5.5234 | |
7 | 8.0727 | 6.5415 | 5.8898 | 5.5226 | 5.2852 | 5.1186 | 4.9949 | 4.8994 | 4.8232 | |
8 | 7.5709 | 6.0595 | 5.416 | 5.0526 | 4.8173 | 4.6517 | 4.5286 | 4.4332 | 4.3572 | |
9 | 7.2093 | 5.7147 | 5.0781 | 4.7181 | 4.4844 | 4.3197 | 4.1971 | 4.102 | 4.026 | |
10 | 6.9367 | 5.4564 | 4.8256 | 4.4683 | 4.2361 | 4.0721 | 3.9498 | 3.8549 | 3.779 | |
11 | 6.7241 | 5.2559 | 4.6300 | 4.2751 | 4.0440 | 3.8807 | 3.7586 | 3.6638 | 3.5879 | |
12 | 6.5538 | 5.0959 | 4.4742 | 4.1212 | 3.8911 | 3.7283 | 3.6065 | 3.5118 | 3.4958 | |
13 | 6.4143 | 4.9653 | 4.3472 | 3.9959 | 3.7667 | 3.6043 | 3.4827 | 3.3880 | 3.3120 | |
14 | 6.2979 | 4.8567 | 4.2417 | 3.8919 | 3.6634 | 3.5014 | 3.3799 | 3.2853 | 3.2093 | |
15 | 6.1995 | 4.7650 | 4.1528 | 3.8043 | 3.5764 | 3.4147 | 3.2934 | 3.1987 | 3.1227 | |
16 | 6.1151 | 4.6867 | 4.0768 | 3.7294 | 3.5021 | 3.3406 | 3.3194 | 3.1248 | 3.0488 | |
17 | 6.0420 | 4.6189 | 4.0112 | 3.6648 | 3.4379 | 3.2767 | 3.1556 | 3.0610 | 2.9849 | |
18 | 5.9781 | 4.5597 | 3.9539 | 3.6038 | 3.3820 | 3.2209 | 3.0999 | 3.0053 | 2.9291 | |
19 | 5.9216 | 4.5075 | 3.9034 | 3.5587 | 3.3327 | 3.1717 | 3.0509 | 2.9563 | 2.8800 | |
20 | 5.8715 | 4.4613 | 3.8587 | 3.5147 | 3.2891 | 3.1283 | 3.0074 | 2.9128 | 2.8365 | |
21 | 5.8266 | 4.4199 | 3.8188 | 3.4754 | 3.2501 | 3.0865 | 2.9686 | 2.8740 | 2.7977 | |
22 | 5.7863 | 4.3828 | 3.7829 | 3.4401 | 3.2151 | 3.0546 | 2.9338 | 2.8392 | 2.7628 | |
23 | 5.7498 | 4.3492 | 3.7505 | 3.4083 | 3.1835 | 3.0232 | 2.9024 | 2.8077 | 2.7313 | |
24 | 5.7167 | 4.3187 | 3.7211 | 3.3794 | 3.1548 | 2.9946 | 2.8738 | 2.7791 | 2.7027 | |
25 | 5.6864 | 4.2909 | 3.6943 | 3.0353 | 3.1287 | 2.9585 | 2.8448 | 2.7531 | 2.6766 | |
26 | 5.6586 | 4.2655 | 3.6697 | 3.3289 | 3.1048 | 2.9447 | 2.8240 | 2.7293 | 2.6528 | |
27 | 5.6331 | 4.2421 | 3.6472 | 3.3067 | 3.0828 | 2.9228 | 2.8021 | 2.7074 | 2.6309 | |
28 | 5.6097 | 4.2205 | 3.6264 | 3.2863 | 3.0625 | 2.9027 | 2.7820 | 2.6872 | 2.6106 | |
29 | 5.5879 | 4.2006 | 3.6072 | 3.2674 | 3.0438 | 2.8840 | 2.7633 | 2.6686 | 2.5919 | |
30 | 5.5675 | 4.1821 | 3.5894 | 3.2499 | 3.0265 | 2.8667 | 2.7460 | 2.6513 | 2.5746 | |
40 | 5.4239 | 4.0510 | 3.4633 | 3.1261 | 2.9037 | 2.7444 | 2.6238 | 2.5289 | 2.4519 | |
60 | 5.2857 | 3.9253 | 3.3425 | 3.0077 | 2.7863 | 2.6274 | 2.5068 | 2.4117 | 2.3344 | |
120 | 5.1524 | 3.8046 | 3.2270 | 2.8943 | 2.6740 | 2.5154 | 2.3948 | 2.2994 | 2.2217 | |
5.0239 | 3.6889 | 3.1161 | 2.7852 | 2.5665 | 2.4082 | 2.2875 | 2.1918 | 2.1136 |
| 10 | 12 | 15 | 20 | 24 | 30 | 40 | 60 | 120 | ||
1 | 968.63 | 976.71 | 984.87 | 993.1 | 997.25 | 1001.4 | 1005.6 | 1009.8 | 1014.0 | 1018.3 | |
2 | 39.398 | 39.415 | 39.431 | 39.448 | 39.456 | 39.465 | 39.473 | 39.481 | 39.490 | 39.498 | |
3 | 14.419 | 14.337 | 14.253 | 14.167 | 14.124 | 14.081 | 14.037 | 13.992 | 13.9470 | 13.902 | |
4 | 8.8439 | 8.7512 | 8.6565 | 8.5599 | 8.5109 | 8.4613 | 8.4111 | 8.3604 | 8.30920 | 8.2573 | |
5 | 6.6192 | 6.5246 | 6.4227 | 6.3285 | 6.278 | 6.2269 | 6.1751 | 6.1225 | 6.06930 | 6.0153 | |
6 | 5.4613 | 5.3662 | 5.2687 | 5.1684 | 5.1172 | 5.0652 | 5.0125 | 4.9589 | 4.90450 | 4.8491 | |
7 | 4.7611 | 4.6658 | 4.5678 | 4.4667 | 4.415 | 4.3624 | 4.3089 | 4.2544 | 4.19890 | 4.1523 | |
8 | 4.2951 | 4.1997 | 4.1012 | 3.9995 | 3.9472 | 3.894 | 3.8398 | 3.7844 | 3.72790 | 3.6702 | |
9 | 3.9639 | 3.8682 | 3.7694 | 3.6669 | 3.6142 | 3.5604 | 3.5055 | 3.4493 | 3.39180 | 3.3329 | |
10 | 3.7168 | 3.6209 | 3.5217 | 3.4186 | 3.3654 | 3.311 | 3.2554 | 3.1984 | 3.13990 | 3.0798 | |
11 | 3.5257 | 3.4296 | 3.3299 | 3.2261 | 3.1725 | 3.1176 | 3.0613 | 3.0035 | 2.94410 | 2.8828 | |
12 | 3.3736 | 3.2773 | 3.1772 | 3.0728 | 3.0187 | 2.9633 | 2.9063 | 2.8478 | 2.78740 | 2.7249 | |
13 | 3.2497 | 3.1532 | 3.0527 | 2.9477 | 2.8932 | 2.8373 | 2.7797 | 2.7204 | 2.65900 | 2.5955 | |
14 | 3.1469 | 3.0501 | 2.9493 | 2.8437 | 2.7888 | 2.7324 | 2.6742 | 2.6142 | 2.55190 | 2.4872 | |
15 | 3.0602 | 2.9633 | 2.8621 | 2.7559 | 2.7006 | 2.6437 | 2.585 | 2.5242 | 2.46110 | 2.3953 | |
16 | 2.9862 | 2.889 | 2.7875 | 2.6808 | 2.6252 | 2.5678 | 2.5085 | 2.4471 | 2.38310 | 2.3163 | |
17 | 2.9222 | 2.2849 | 2.2730 | 2.6158 | 2.5598 | 2.5021 | 2.4422 | 2.3801 | 2.3153 | 2.2474 | |
18 | 2.8664 | 2.7689 | 2.6667 | 2.5590 | 2.5027 | 2.4445 | 2.3842 | 2.3214 | 2.2558 | 2.1869 | |
19 | 2.8173 | 2.7196 | 2.6171 | 2.5089 | 2.4523 | 2.3937 | 2.3329 | 2.2695 | 2.2032 | 2.1333 | |
20 | 2.7737 | 2.6758 | 2.5731 | 2.4645 | 2.4076 | 2.3486 | 2.2873 | 2.2234 | 2.1562 | 2.0853 | |
21 | 2.7348 | 2.6368 | 2.5338 | 2.4247 | 2.3675 | 2.3082 | 2.2465 | 2.1819 | 2.1141 | 2.0422 | |
22 | 2.6998 | 2.6017 | 2.4984 | 2.3890 | 2.3315 | 2.2718 | 2.2097 | 2.1446 | 2.0760 | 2.0032 | |
23 | 2.6682 | 2.5699 | 2.4665 | 2.3567 | 2.2989 | 2.2389 | 2.1763 | 2.1107 | 2.0415 | 1.9677 | |
24 | 2.6396 | 2.5412 | 2.4374 | 2.3273 | 2.2693 | 2.2090 | 2.1460 | 2.0799 | 2.0099 | 1.9353 | |
25 | 2.6135 | 2.5149 | 2.4110 | 2.3005 | 2.2422 | 2.1816 | 2.1183 | 2.0517 | 1.9811 | 1.9055 | |
26 | 2.5895 | 2.4909 | 2.3867 | 2.2759 | 2.2174 | 2.1565 | 2.0928 | 2.0257 | 1.9545 | 1.8781 | |
27 | 2.5676 | 2.4688 | 2.3644 | 2.2533 | 2.1946 | 2.1334 | 2.0693 | 2.0018 | 1.9299 | 1.8527 | |
28 | 2.5473 | 2.4484 | 2.3438 | 2.2324 | 2.1735 | 2.1121 | 2.0477 | 1.9796 | 1.9072 | 1.8291 | |
29 | 2.5286 | 2.4295 | 2.3248 | 2.2131 | 2.1540 | 2.0923 | 2.0276 | 1.9591 | 1.8861 | 1.8078 | |
30 | 2.5112 | 2.4120 | 2.3072 | 2.1952 | 2.1359 | 2.0739 | 2.0089 | 1.9400 | 1.8664 | 1.7861 | |
40 | 2.3882 | 2.2882 | 2.1819 | 2.0677 | 2.0069 | 1.9429 | 1.8752 | 1.8028 | 1.7242 | 1.6371 | |
60 | 2.2702 | 2.1692 | 2.0613 | 1.9445 | 1.8817 | 1.8152 | 1.7440 | 1.6668 | 1.5810 | 1.4822 | |
120 | 2.1570 | 2.0548 | 1.9450 | 1.8249 | 1.7597 | 1.6899 | 1.6141 | 1.5299 | 1.4327 | 1.3104 | |
2.0483 | 1.9447 | 1.8326 | 1.7085 | 1.6402 | 1.5660 | 1.4835 | 1.3883 | 1.2684 | 1.0000 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
1 | 161.45 | 199.5 | 215.71 | 224.58 | 230.16 | 233.99 | 236.77 | 238.88 | 240.54 | |
2 | 18.513 | 19 | 19.164 | 19.247 | 19.226 | 19.339 | 19.353 | 19.371 | 19.385 | |
3 | 10.128 | 9.5521 | 9.2776 | 9.1172 | 9.0135 | 8.9406 | 8.8868 | 8.8452 | 8.8123 | |
4 | 7.7086 | 6.9443 | 6.5914 | 6.3883 | 6.256 | 6.1631 | 6.0942 | 6.041 | 5.9988 | |
5 | 6.6079 | 5.7861 | 5.4095 | 5.1922 | 5.0503 | 4.9503 | 4.8759 | 4.8183 | 4.7725 | |
6 | 5.9874 | 5.1433 | 4.7571 | 4.5337 | 4.3874 | 4.2839 | 4.2066 | 4.1468 | 4.099 | |
7 | 5.591 | 4.7374 | 4.3468 | 4.1203 | 3.9715 | 3.866 | 3.787 | 3.7257 | 3.6767 | |
8 | 5.3177 | 4.59 | 4.0668 | 3.8378 | 3.6875 | 3.5806 | 3.5005 | 3.4381 | 3.3881 | |
9 | 5.1174 | 4.2565 | 3.8626 | 3.6331 | 3.4817 | 3.3738 | 3.2927 | 3.2296 | 3.1789 | |
10 | 4.9646 | 4.1028 | 3.7083 | 3.478 | 3.3258 | 3.2172 | 3.1355 | 3.0717 | 3.0204 | |
11 | 4.8443 | 3.9823 | 3.5874 | 3.3567 | 3.2039 | 3.0946 | 3.0123 | 2.948 | 2.8962 | |
12 | 4.7472 | 3.8853 | 3.4903 | 3.2592 | 3.1059 | 2.9961 | 2.9134 | 2.8486 | 2.7964 | |
13 | 4.6672 | 3.8056 | 3.4105 | 3.1791 | 3.0254 | 2.9153 | 2.8321 | 2.7669 | 2.7144 | |
14 | 4.6001 | 3.7389 | 3.3439 | 3.1122 | 2.9582 | 2.8477 | 2.7642 | 2.6987 | 2.6458 | |
15 | 4.5431 | 3.6823 | 3.2874 | 3.0556 | 2.9013 | 2.7905 | 2.7066 | 2.6408 | 2.5876 | |
16 | 4.494 | 3.6337 | 3.2389 | 3.0069 | 2.8524 | 2.7413 | 2.6572 | 2.5911 | 2.5377 | |
17 | 4.4513 | 3.5915 | 3.1978 | 2.9647 | 2.81 | 2.6987 | 2.6143 | 2.548 | 2.4943 | |
18 | 4.4139 | 3.5546 | 3.1599 | 2.9277 | 2.7729 | 2.6613 | 2.5767 | 2.5102 | 2.4563 | |
19 | 4.3808 | 3.5219 | 3.1274 | 2.8951 | 2.7401 | 2.6283 | 2.5435 | 2.4768 | 2.4557 | |
20 | 4.3513 | 3.4928 | 3.0984 | 2.8661 | 2.7109 | 2.599 | 2.514 | 2.4471 | 2.3928 | |
21 | 4.3248 | 3.4668 | 3.0725 | 2.8401 | 2.6848 | 2.5727 | 2.4876 | 2.4205 | 2.3661 | |
22 | 4.3009 | 3.4434 | 3.0491 | 2.8167 | 2.6613 | 2.5491 | 2.4638 | 2.3965 | 2.3419 | |
23 | 4.2793 | 3.4221 | 3.028 | 2.7955 | 2.64 | 2.5277 | 2.4422 | 2.3748 | 2.3201 | |
24 | 4.2597 | 3.4028 | 3.0088 | 2.7763 | 2.6207 | 2.5082 | 2.4226 | 2.3551 | 2.3002 | |
25 | 4.2417 | 3.3852 | 2.9912 | 2.7587 | 2.603 | 2.4904 | 2.4047 | 2.3371 | 2.2821 | |
26 | 4.2252 | 3.369 | 2.9751 | 2.7426 | 2.5868 | 2.4741 | 2.3883 | 2.3205 | 2.2655 | |
27 | 4.21 | 3.3541 | 2.9604 | 2.7278 | 2.5719 | 2.4591 | 2.3732 | 2.3053 | 2.2501 | |
28 | 4.196 | 3.3404 | 2.9467 | 2.7141 | 2.5581 | 2.4453 | 2.3593 | 2.2913 | 2.236 | |
29 | 4.183 | 3.3277 | 2.934 | 2.7044 | 2.5445 | 2.4323 | 2.3463 | 2.2782 | 2.2229 | |
30 | 4.1709 | 3.3158 | 2.9223 | 2.6896 | 2.5336 | 2.4205 | 2.3343 | 2.2662 | 2.2107 | |
40 | 4.0848 | 3.2317 | 2.8387 | 2.606 | 2.4495 | 2.3359 | 2.349 | 2.1802 | 2.124 | |
60 | 4.0012 | 3.1504 | 2.7581 | 2.5252 | 2.3683 | 2.254 | 2.1665 | 2.097 | 2.0404 | |
120 | 3.9201 | 3.0718 | 2.6802 | 2.4472 | 2.29 | 2.175 | 2.0867 | 2.0167 | 1.9588 | |
∞ | 3.8415 | 2.9957 | 2.6049 | 2.3719 | 2.2141 | 2.0986 | 2.0096 | 1.9384 | 1.8799 |
K1 K2 |
| 10 | 12 | 15 | 20 | 24 | 30 | 40 | 60 | 120 |
|
1 | 241.88 | 243.91 | 245.01 | 248.01 | 249.05 | 250.09 | 251.14 | 252.2 | 253.25 | 2.54.32 |
2 | 19.396 | 19.413 | 19.446 | 19.446 | 19.454 | 19.462 | 19.471 | 19.479 | 19.487 | 19.496 |
3 | 8.7855 | 8.7446 | 8.6602 | 8.6602 | 8.6385 | 8.6166 | 8.5944 | 5.572 | 8.5494 | 8.5265 |
4 | 5.9644 | 5.9117 | 5.8025 | 5.8025 | 5.7744 | 5.7459 | 5.717 | 5.6878 | 5.6581 | 5.6281 |
5 | 4.7351 | 4.6777 | 4.5581 | 4.5581 | 4.5272 | 4.4957 | 4.4638 | 4.4314 | 4.3984 | 4.365 |
6 | 4.06 | 3.9999 | 3.8742 | 3.8742 | 3.8415 | 3.8082 | 3.7743 | 3.7398 | 3.7047 | 3.6688 |
7 | 3.6365 | 3.5747 | 3.4445 | 3.4445 | 3.4105 | 3.3758 | 3.3404 | 3.3043 | 3.2674 | 3.2298 |
8 | 3.3472 | 3.284 | 3.1503 | 3.1503 | 3.1152 | 3.0794 | 3.0428 | 3.0053 | 2.9669 | 2.9276 |
9 | 3.1373 | 3.0729 | 2.9365 | 2.9365 | 2.9005 | 2.8637 | 2.8259 | 2.7872 | 2.7475 | 2.7067 |
10 | 2.9782 | 2.913 | 2.774 | 2.774 | 2.7372 | 2.6996 | 2.6609 | 2.6211 | 2.5801 | 2.5379 |
11 | 2.8536 | 2.7876 | 2.6464 | 2.6464 | 2.609 | 2.5705 | 2.5309 | 2.4901 | 2.448 | 2.4045 |
12 | 2.7534 | 2.6866 | 2.5436 | 2.5436 | 2.5055 | 2.4663 | 2.4259 | 2.3842 | 2.341 | 2.2962 |
13 | 2.671 | 2.6037 | 2.4589 | 2.4589 | 2.4202 | 2.3803 | 2.3392 | 2.2966 | 2.2524 | 2.2064 |
14 | 2.6021 | 2.5342 | 2.3879 | 2.3879 | 2.3487 | 2.3082 | 2.2664 | 2.223 | 2.1778 | 2.1307 |
15 | 2.5437 | 2.4753 | 2.3275 | 2.3275 | 2.2878 | 2.2468 | 2.2043 | 2.1601 | 2.1141 | 2.0658 |
16 | 2.4935 | 2.4247 | 2.2756 | 2.2756 | 2.2354 | 2.1938 | 2.1507 | 2.1058 | 2.0589 | 2.0096 |
17 | 2.4499 | 2.3807 | 2.3077 | 2.2304 | 2.1898 | 2.1477 | 2.104 | 2.0584 | 2.0107 | 1.9604 |
18 | 2.4117 | 2.3421 | 2.2686 | 2.1906 | 2.1497 | 2.1071 | 0.0629 | 2.0166 | 1.9681 | 1.9168 |
19 | 2.3779 | 2.308 | 2.2341 | 2.1555 | 2.1141 | 2.0712 | 2.0264 | 1.9796 | 1.9302 | 1.878 |
20 | 2.3479 | 2.2776 | 2.2033 | 2.1242 | 2.0825 | 2.0391 | 1.9938 | 1.9464 | 1.8963 | 1.8432 |
21 | 2.321 | 2.2504 | 2.1757 | 2.096 | 2.054 | 2.0102 | 1.9645 | 1.9165 | 1.8657 | 1.8117 |
22 | 2.2967 | 2.2258 | 2.1508 | 2.0707 | 2.0283 | 1.9842 | 1.938 | 1.8895 | 1.838 | 1.7831 |
23 | 2.2747 | 2.2036 | 2.1282 | 2.0476 | 2.005 | 1.9605 | 1.9139 | 1.8649 | 1.8128 | 1.757 |
24 | 2.2547 | 2.1834 | 2.1077 | 2.0267 | 1.9838 | 1.939 | 1.892 | 1.8424 | 1.7897 | 1.7331 |
25 | 2.2365 | 2.1649 | 2.0889 | 2.0075 | 1.9643 | 1.9192 | 1.8718 | 1.8217 | 1.7684 | 1.711 |
26 | 2.2197 | 2.1479 | 2.0716 | 1.9898 | 1.9464 | 1.901 | 1.8533 | 1.8027 | 1.7488 | 1.6906 |
27 | 2.2043 | 2.1323 | 2.0558 | 1.9736 | 1.9299 | 1.8842 | 1.8361 | 1.7851 | 1.7307 | 1.6717 |
28 | 2.19 | 2.1179 | 2.0411 | 1.9586 | 1.9147 | 1.8687 | 1.8203 | 1.7689 | 1.7138 | 1.6541 |
29 | 2.1768 | 2.1045 | 2.0275 | 1.9446 | 1.9005 | 1.8543 | 1.8055 | 1.7537 | 1.6981 | 1.6377 |
30 | 2.1646 | 2.0921 | 2.0148 | 1.9317 | 1.8874 | 1.8409 | 1.7918 | 1.7396 | 1.6835 | 1.6223 |
40 | 2.0772 | 2.0035 | 1.9245 | 1.8389 | 1.7929 | 1.7444 | 1.6928 | 1.6373 | 1.5766 | 1.5089 |
60 | 1.9926 | 1.9174 | 1.8364 | 1.748 | 1.7001 | 1.6491 | 1.5943 | 1.5343 | 1.4673 | 1.3893 |
120 | 1.9105 | 1.8337 | 1.7505 | 1.6587 | 1.6084 | 1.5543 | 1.4952 | 1.429 | 1.3519 | 1.2539 |
∞ | 1.8307 | 1.7522 | 1.6664 | 1.5705 | 1.5173 | 1.4591 | 1.394 | 1.318 | 1.2214 | 1 |
K1 K2 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
1 | 39.8640 | 49.5000 | 53.5930 | 55.8330 | 57.2410 | 58.2040 | 58.9060 | 59.4390 | 59.8580 |
2 | 8.5263 | 9.0000 | 9.1618 | 9.2434 | 9.2926 | 9.3255 | 9.3491 | 9.3668 | 9.3805 |
3 | 5.5383 | 5.4624 | 5.3908 | 5.3427 | 5.3092 | 5.2847 | 5.2662 | 5.2517 | 5.2400 |
4 | 4.5448 | 4.3246 | 4.1908 | 4.1073 | 4.0506 | 4.0098 | 3.9790 | 3.9549 | 3.9357 |
5 | 4.0604 | 3.7797 | 3.6195 | 3.5202 | 3.4530 | 3.4045 | 3.3679 | 3.3393 | 3.3163 |
6 | 3.7760 | 3.4633 | 3.2888 | 3.1808 | 3.1075 | 3.0546 | 3.0145 | 2.9830 | 2.9577 |
7 | 3.5894 | 3.2574 | 3.0741 | 2.9605 | 2.8833 | 2.8274 | 2.7849 | 2.7516 | 2.7247 |
8 | 3.4579 | 3.1131 | 2.9238 | 2.8064 | 2.7265 | 2.6683 | 2.6241 | 2.5893 | 2.5612 |
9 | 3.3603 | 3.0065 | 2.8129 | 2.6927 | 2.6106 | 2.5509 | 2.5053 | 2.4694 | 2.4403 |
10 | 3.2850 | 2.9245 | 2.7217 | 2.6053 | 2.5216 | 2.4606 | 2.4140 | 2.3772 | 2.3473 |
11 | 3.2252 | 2.8595 | 2.6602 | 2.5362 | 2.4612 | 2.3891 | 2.3416 | 2.3040 | 2.2735 |
12 | 3.1765 | 2.8068 | 2.6055 | 2.4801 | 2.3940 | 2.3310 | 2.2828 | 2.2446 | 2.2135 |
13 | 3.1362 | 2.7632 | 2.5603 | 2.4337 | 2.3467 | 2.2830 | 2.2341 | 2.1953 | 2.1638 |
14 | 3.1022 | 2.7265 | 2.5222 | 2.3947 | 2.3069 | 2.2426 | 2.1931 | 2.1539 | 2.1220 |
15 | 3.0732 | 2.6952 | 2.4898 | 2.3614 | 2.2730 | 2.2081 | 2.1582 | 2.1185 | 2.0862 |
16 | 3.0481 | 2.6682 | 2.4618 | 2.3327 | 2.2438 | 2.1783 | 2.1280 | 2.0880 | 2.0553 |
17 | 3.0262 | 2.6446 | 2.4374 | 2.3077 | 2.2183 | 2.1524 | 2.1017 | 2.0613 | 2.0284 |
18 | 3.0070 | 2.6239 | 2.4160 | 2.2858 | 2.1958 | 2.1296 | 2.0785 | 2.0379 | 2.0047 |
19 | 2.9899 | 2.6056 | 2.3970 | 2.2663 | 2.4760 | 2.1094 | 2.0580 | 2.0171 | 1.9836 |
20 | 2.9747 | 2.5893 | 2.3801 | 2.2489 | 2.1582 | 2.0913 | 2.0397 | 1.9985 | 1.9649 |
21 | 2.9609 | 2.5746 | 2.3649 | 2.2333 | 2.1423 | 2.0751 | 2.0232 | 1.9819 | 1.9480 |
22 | 2.9486 | 2.5613 | 2.3512 | 2.2193 | 2.1279 | 2.0605 | 2.0084 | 1.9668 | 1.9327 |
23 | 2.9874 | 2.5493 | 2.3387 | 2.2065 | 2.1149 | 2.0472 | 1.9949 | 1.9531 | 1.9189 |
24 | 2.9271 | 2.5383 | 2.3274 | 2.1949 | 2.1030 | 2.0351 | 1.9826 | 1.9407 | 1.9063 |
25 | 2.9177 | 2.5283 | 2.3170 | 2.1843 | 2.0922 | 2.0241 | 1.9714 | 1.9292 | 1.8947 |
26 | 2.9091 | 2.5191 | 2.3075 | 2.1745 | 2.0822 | 2.0139 | 1.9610 | 1.9188 | 1.8841 |
27 | 2.9012 | 2.5106 | 2.2987 | 2.1655 | 2.0730 | 2.0045 | 1.9515 | 1.9091 | 1.8743 |
28 | 2.8939 | 2.5028 | 2.2906 | 2.1571 | 2.0645 | 1.9959 | 1.9427 | 1.9001 | 1.8652 |
29 | 2.8871 | 2.4955 | 2.2831 | 2.1494 | 2.0566 | 1.9889 | 1.9345 | 1.8918 | 1.8568 |
30 | 2.8807 | 2.4887 | 2.2761 | 2.1422 | 2.0492 | 1.9803 | 1.9269 | 1.8841 | 1.8490 |
40 | 2.8354 | 2.4404 | 2.2261 | 2.0909 | 1.9968 | 1.9269 | 1.8725 | 1.8289 | 1.7929 |
60 | 2.7914 | 2.3932 | 2.1774 | 2.0410 | 1.9467 | 1.8747 | 1.8194 | 1.7748 | 1.7380 |
120 | 2.7478 | 2.3473 | 2.1300 | 1.9923 | 1.8959 | 1.8238 | 1.7675 | 1.7220 | 1.6843 |
∞ | 2.7055 | 2.3026 | 2.0838 | 1.9449 | 1.8473 | 1.7741 | 1.7167 | 1.6702 | 1.6316 |
K1 K2 |
K1 K2 |
| 10 | 12 | 15 | 20 | 24 | 30 | 40 | 60 | 120 |
|
1 | 60.1950 | 60.7050 | 61.2200 | 61.7400 | 62.0020 | 62.2650 | 62.5290 | 62.7940 | 63.0610 | 63.3280 |
2 | 9.3916 | 9.4081 | 9.4247 | 9.4413 | 9.4496 | 9.4579 | 9.4663 | 9.4746 | 9.4829 | 9.4913 |
3 | 5.2304 | 5.2156 | 5.2003 | 5.1845 | 5.1764 | 5.1681 | 5.1597 | 5.1512 | 5.1425 | 5.1337 |
4 | 3.9199 | 3.8955 | 3.8703 | 3.8443 | 3.8310 | 3.8174 | 3.8036 | 3.7896 | 3.7753 | 3.7607 |
5 | 3.2974 | 3.2682 | 3.2380 | 3.2067 | 3.1905 | 3.1741 | 3.1573 | 3.1402 | 3.1228 | 3.1050 |
6 | 2.9369 | 2.9047 | 2.8712 | 2.8363 | 2.8183 | 2.8000 | 2.7812 | 2.7620 | 2.7423 | 2.7222 |
7 | 2.7025 | 2.6681 | 2.6322 | 2.5947 | 2.5753 | 2.5555 | 2.5351 | 2.5142 | 2.4928 | 2.4708 |
8 | 2.5380 | 2.5020 | 2.4642 | 2.4246 | 2.4041 | 2.3830 | 2.3614 | 2.3391 | 2.3162 | 2.2926 |
9 | 2.4163 | 2.3789 | 2.3396 | 2.2983 | 2.2768 | 2.2547 | 2.2320 | 2.2085 | 2.1843 | 2.1592 |
10 | 2.3226 | 2.2841 | 2.4350 | 2.2007 | 2.1784 | 2.1554 | 2.1317 | 2.1072 | 2.0818 | 2.0554 |
11 | 2.2482 | 2.2087 | 2.1671 | 2.1230 | 2.1000 | 2.0762 | 2.0516 | 2.0261 | 1.9997 | 1.9721 |
12 | 2.1878 | 2.1474 | 2.1049 | 2.0597 | 2.0360 | 2.0115 | 1.9861 | 1.9597 | 1.9323 | 1.9036 |
13 | 2.1376 | 2.0966 | 2.0532 | 2.0070 | 1.9827 | 1.9576 | 1.9315 | 1.9043 | 1.8759 | 1.8462 |
14 | 2.0954 | 2.0537 | 2.0095 | 1.9625 | 1.9377 | 1.9119 | 1.8852 | 1.8572 | 1.8280 | 1.7973 |
15 | 2.0593 | 2.0171 | 1.9722 | 1.9243 | 1.8990 | 1.8728 | 1.8454 | 1.8168 | 1.7867 | 1.7551 |
16 | 2.0281 | 1.9854 | 1.9399 | 1.8913 | 1.8656 | 1.8388 | 1.8108 | 1.7816 | 1.7507 | 1.7182 |
17 | 2.0009 | 1.9577 | 1.9117 | 1.8624 | 1.8362 | 1.8090 | 1.7805 | 1.7506 | 1.7191 | 1.6856 |
18 | 1.9770 | 1.9333 | 1.8868 | 1.8368 | 1.8103 | 1.7827 | 1.7537 | 1.7232 | 1.6910 | 1.6567 |
19 | 1.9557 | 1.9117 | 1.8647 | 1.8142 | 1.7873 | 1.7592 | 1.7298 | 1.5988 | 1.6659 | 1.6308 |
20 | 1.9367 | 1.8924 | 1.8449 | 1.7938 | 1.7667 | 1.7382 | 1.7083 | 1.6768 | 1.6433 | 1.6074 |
21 | 1.9197 | 1.8750 | 1.8272 | 1.7756 | 1.7481 | 1.7193 | 1.6890 | 1.6569 | 1.6228 | 1.5862 |
22 | 1.9043 | 1.8593 | 1.8111 | 1.7590 | 1.7312 | 1.7021 | 1.6714 | 1.6389 | 1.6042 | 1.5668 |
23 | 1.8903 | 1.8450 | 1.7964 | 1.7439 | 1.7159 | 1.6864 | 1.6554 | 1.6224 | 1.5871 | 1.5490 |
24 | 1.8775 | 1.8319 | 1.7831 | 1.7302 | 1.7019 | 1.6721 | 1.6407 | 1.6073 | 1.5715 | 1.5327 |
25 | 1.8658 | 1.8200 | 1.7708 | 1.7175 | 1.6890 | 1.6589 | 1.6272 | 1.5934 | 1.5570 | 1.5176 |
26 | 1.8550 | 1.8090 | 1.7596 | 1.7059 | 1.6771 | 1.6468 | 1.6147 | 1.5805 | 1.5437 | 1.5036 |
27 | 1.8451 | 1.7989 | 1.7492 | 1.6951 | 1.6662 | 1.6356 | 1.6032 | 1.5686 | 1.5313 | 1.4906 |
28 | 1.8359 | 1.7895 | 1.7395 | 1.6852 | 1.6560 | 1.6252 | 1.5925 | 1.5575 | 1.5198 | 1.4784 |
29 | 1.8274 | 1.7808 | 1.7306 | 1.6759 | 1.6465 | 1.6155 | 1.5825 | 1.5472 | 1.5090 | 1.4670 |
30 | 1.8195 | 1.7727 | 1.7223 | 1.6673 | 1.6377 | 1.6065 | 1.5732 | 1.5376 | 1.4989 | 1.4564 |
40 | 1.7627 | 1.7146 | 1.6624 | 1.6052 | 1.5741 | 1.5411 | 1.5056 | 1.4672 | 1.4248 | 1.3769 |
60 | 1.7070 | 1.6574 | 1.6034 | 1.5435 | 1.5107 | 1.4755 | 1.4373 | 1.3952 | 1.3476 | 1.2915 |
120 | 1.6524 | 1.6012 | 1.5450 | 1.4821 | 1.4472 | 1.4094 | 1.3676 | 1.3203 | 1.2646 | 1.1926 |
∞ | 1.5987 | 1.5458 | 1.4871 | 1.4206 | 1.3832 | 1.3419 | 1.2951 | 1.2400 | 1.1686 | 1.0000 |
Таблица 11
Квантили распределения максимального относительного отклонения ,
n | Значение доверительной вероятности α | ||||
0.01 | 0.02 | 0.05 | 0.1 | 0.2 | |
3 | 1.414 | 1.414 | 1.414 | 1.414 | 1.406 |
4 | 1.728 | 1.723 | 1.71 | 1.689 | 1.645 |
5 | 1.972 | 1.955 | 1.917 | 1.869 | 1.791 |
6 | 2.161 | 2.13 | 2.067 | 1.996 | 1.894 |
7 | 2.31 | 2.265 | 2.182 | 2.093 | 1.974 |
8 | 2.431 | 2.374 | 2.273 | 2.172 | 2.041 |
9 | 2.532 | 2.464 | 2.349 | 2.238 | 2.097 |
10 | 2.616 | 2.54 | 2.414 | 2.294 | 2.146 |
11 | 2.689 | 2.606 | 2.47 | 2.343 | 2.19 |
12 | 2.753 | 2.663 | 2.519 | 2.387 | 2.229 |
13 | 2.809 | 2.713 | 2.563 | 2.426 | 2.264 |
14 | 2.859 | 2.759 | 2.602 | 2.461 | 2.297 |
15 | 2.905 | 2.8 | 2.638 | 2.494 | 2.327 |
16 | 2.946 | 2.837 | 2.67 | 2.523 | 2.354 |
17 | 2.983 | 2.871 | 2.701 | 2.551 | 2.38 |
18 | 3.017 | 2.903 | 2.728 | 2.577 | 2.404 |
19 | 3.049 | 2.932 | 2.754 | 2.601 | 2.426 |
20 | 3.079 | 2.959 | 2.779 | 2.623 | 2.447 |
21 | 3.106 | 2.984 | 2.801 | 2.644 | 2.467 |
22 | 3.132 | 3.008 | 2.823 | 2.664 | 2.486 |
23 | 3.156 | 3.03 | 2.843 | 2.683 | 2.504 |
24 | 3.179 | 3.051 | 2.862 | 2.701 | 2.521 |
25 | 3.2 | 3.071 | 2.88 | 2.718 | 2.537 |
26 | 3.22 | 3.089 | 2.897 | 2.734 | 2.553 |
27 | 3.239 | 3.107 | 2.913 | 2.749 | 2.568 |
28 | 3.258 | 3.124 | 2.929 | 2.764 | 2.582 |
29 | 3.275 | 3.14 | 2.944 | 2.778 | 2.596 |
30 | 3.291 | 3.156 | 2.958 | 2.792 | 2.609 |
31 | 3.307 | 3.171 | 2.972 | 2.805 | 2.622 |
32 | 3.322 | 3.185 | 2.985 | 2.818 | 2.634 |
33 | 3.337 | 3.199 | 2.998 | 2.83 | 2.646 |
34 | 3.351 | 3.212 | 3.01 | 2.842 | 2.657 |
Продолжение таблицы 11
35 | 3.364 | 3.224 | 3.022 | 2.853 | 2.668 |
36 | 3.377 | 3.236 | 3.033 | 2.864 | 2.679 |
37 | 3.389 | 3.248 | 3.044 | 2.874 | 2.689 |
38 | 3.401 | 3.259 | 3.055 | 2.885 | 2.699 |
39 | 3.413 | 3.27 | 3.065 | 2.894 | 2.709 |
40 | 3.424 | 3.281 | 3.075 | 2.904 | 2.718 |
41 | 3.435 | 3.291 | 3.084 | 2.913 | 2.727 |
42 | 3.445 | 3.301 | 3.094 | 2.922 | 2.736 |
43 | 3.455 | 3.31 | 3.103 | 2.931 | 2.745 |
44 | 3.465 | 3.32 | 3.112 | 2.94 | 2.753 |
45 | 3.474 | 3.329 | 3.12 | 2.948 | 2.762 |
46 | 3.483 | 3.338 | 3.129 | 2.956 | 2.77 |
47 | 3.492 | 3.346 | 3.137 | 2.964 | 2.778 |
48 | 3.501 | 3.354 | 3.145 | 2.972 | 2.785 |
49 | 3.51 | 3.363 | 3.152 | 2.98 | 2.793 |
50 | 3.518 | 3.7 | 3.16 | 2.987 | 2.8 |
51 | 3.526 | 3.378 | 3.167 | 2.994 | 2.807 |
52 | 3.534 | 3.386 | 3.175 | 3.001 | 2.814 |
Таблица 12
Значения функции (критерия Колмогорова), , где
λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) |
0.29 | 1.00000 | 0.43 | 0.99260 | 0.57 | 0.90130 | 0.71 | 0.69450 | 0.85 | 0.46530 | 0.99 | 0.28090 |
0.30 | 0.99999 | 0.44 | 0.99030 | 0.58 | 0.88960 | 0.72 | 0.67770 | 0.86 | 0.45030 | 1.00 | 0.27000 |
0.31 | 0.99998 | 0.45 | 0.98740 | 0.59 | 0.87720 | 0.73 | 0.66090 | 0.87 | 0.43550 | 1.01 | 0.25940 |
0.32 | 0.99995 | 0.46 | 0.98400 | 0.60 | 0.86430 | 0.74 | 0.64400 | 0.88 | 0.42090 | 1.02 | 0.24920 |
0.33 | 0.99991 | 0.47 | 0.98000 | 0.61 | 0.85080 | 0.75 | 0.62720 | 0.89 | 0.40670 | 1.03 | 0.23920 |
0.34 | 0.99983 | 0.48 | 0.97530 | 0.62 | 0.83680 | 0.76 | 0.61040 | 0.90 | 0.39270 | 1.04 | 0.22960 |
0.35 | 0.99970 | 0.49 | 0.97000 | 0.63 | 0.82220 | 0.77 | 0.59360 | 0.91 | 0.37910 | 1.05 | 0.22020 |
0.36 | 0.99950 | 0.50 | 0.96390 | 0.64 | 0.80730 | 0.78 | 0.57700 | 0.92 | 0.36570 | 1.06 | 0.21110 |
0.37 | 0.99920 | 0.51 | 0.95720 | 0.65 | 0.79200 | 0.79 | 0.56050 | 0.93 | 0.35270 | 1.07 | 0.20240 |
0.38 | 0.99870 | 0.52 | 0.94770 | 0.66 | 0.77640 | 0.80 | 0.54410 | 0.94 | 0.33990 | 1.08 | 0.19390 |
0.39 | 0.99810 | 0.53 | 0.94150 | 0.67 | 0.76060 | 0.81 | 0.52800 | 0.95 | 0.32750 | 1.09 | 0.18570 |
0.40 | 0.99720 | 0.54 | 0.93250 | 0.68 | 0.74420 | 0.82 | 0.51200 | 0.96 | 0.31540 | 1.10 | 0.17770 |
0.41 | 0.99600 | 0.55 | 0.92280 | 0.69 | 0.72780 | 0.83 | 0.49620 | 0.97 | 0.30360 | 1.11 | 0.17000 |
0.42 | 0.99450 | 0.56 | 0.91240 | 0.70 | 0.71120 | 0.84 | 0.48060 | 0.98 | 0.29210 | 1.12 | 0.16260 |
λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) |
1.13 | 0.15550 | 1.28 | 0.07550 | 1.43 | 0.03350 | 1.58 | 0.01360 | 1.73 | 0.00500 | 1.88 | 0.00170 |
1.14 | 0.14860 | 1.29 | 0.07170 | 1.44 | 0.03160 | 1.59 | 0.01270 | 1.74 | 0.00470 | 1.89 | 0.00160 |
1.15 | 0.14200 | 1.30 | 0.06810 | 1.45 | 0.02980 | 1.60 | 0.01200 | 1.75 | 0.00440 | 1.90 | 0.00150 |
1.16 | 0.13560 | 1.31 | 0.06460 | 1.46 | 0.02820 | 1.61 | 0.01120 | 1.76 | 0.00410 | 1.91 | 0.00140 |
1.17 | 0.12940 | 1.32 | 0.06130 | 1.47 | 0.02660 | 1.62 | 0.01050 | 1.77 | 0.00380 | 1.92 | 0.00130 |
1.18 | 0.12350 | 1.33 | 0.05820 | 1.48 | 0.02500 | 1.63 | 0.00980 | 1.78 | 0.00350 | 1.93 | 0.00120 |
1.19 | 0.11770 | 1.34 | 0.05510 | 1.49 | 0.02360 | 1.64 | 0.00920 | 1.79 | 0.00330 | 1.94 | 0.00110 |
1.20 | 0.11220 | 1.35 | 0.05220 | 1.50 | 0.02220 | 1.65 | 0.00860 | 1.80 | 0.00310 | 1.95 | 0.00100 |
1.21 | 0.10700 | 1.36 | 0.04950 | 1.51 | 0.02090 | 1.66 | 0.00810 | 1.81 | 0.00290 | 1.96 | 0.00090 |
1.22 | 0.10190 | 1.37 | 0.04690 | 1.52 | 0.01970 | 1.67 | 0.00760 | 1.82 | 0.00270 | 1.97 | 0.00090 |
1.23 | 0.09700 | 1.38 | 0.04440 | 1.53 | 0.01850 | 1.68 | 0.00710 | 1.83 | 0.00250 | 1.98 | 0.00080 |
1.24 | 0.09240 | 1.39 | 0.04200 | 1.54 | 0.01740 | 1.69 | 0.00660 | 1.84 | 0.00230 | 1.99 | 0.00070 |
1.25 | 0.08790 | 1.40 | 0.03970 | 1.55 | 0.01640 | 1.70 | 0.00620 | 1.85 | 0.00210 | 2.00 | 0.00070 |
1.26 | 0.08360 | 1.41 | 0.03750 | 1.56 | 0.01540 | 1.71 | 0.00580 | 1.86 | 0.00200 | 2.01 | 0.00060 |
1.27 | 0.07940 | 1.42 | 0.03540 | 1.57 | 0.01490 | 1.72 | 0.00540 | 1.87 | 0.00190 | 2.02 | 0.00060 |
λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) | λ | P(λ) |
2.03 | 0.00050 | 2.13 | 0.00020 | 2.23 | 0.00010 | 2.33 | 0.00004 | 2.43 | 0.00001 | 2.63 | 0.000001600 |
2.04 | 0.00050 | 2.14 | 0.00020 | 2.24 | 0.00010 | 2.34 | 0.00004 | 2.44 | 0.00001 | 2.70 | 0.000001000 |
2.05 | 0.00040 | 2.15 | 0.00020 | 2.25 | 0.00010 | 2.35 | 0.00003 | 2.45 | 0.00001 | 2.75 | 0.000000600 |
2.06 | 0.00040 | 2.16 | 0.00020 | 2.26 | 0.00010 | 2.36 | 0.00003 | 2.46 | 0.00001 | 2.80 | 0.000000300 |
2.07 | 0.00040 | 2.17 | 0.00020 | 2.27 | 0.00010 | 2.37 | 0.00003 | 2.47 | 0.00001 | 2.85 | 0.000000018 |
2.08 | 0.00040 | 2.18 | 0.00010 | 2.28 | 0.00010 | 2.38 | 0.00002 | 2.48 | 0.00001 | 2.90 | 0.000000010 |
2.09 | 0.00030 | 2.19 | 0.00010 | 2.29 | 0.00010 | 2.39 | 0.00002 | 2.49 | 0.00001 | 2.95 | 0.000000006 |
2.10 | 0.00030 | 2.20 | 0.00010 | 2.30 | 0.00010 | 2.40 | 0.00002 | 2.50 | 0.00001 | 3.00 | 0.000000003 |
2.11 | 0.00030 | 2.21 | 0.00010 | 2.31 | 0.00005 | 2.41 | 0.00002 | 2.55 | 0.00000 | ||
2.12 | 0.00020 | 2.22 | 0.00010 | 2.32 | 0.00004 | 2.42 | 0.00002 | 2.60 | 0.00000 |
Таблица 13
G – критерий (Кочрена). Значения ,
Где m – число сравниваемых дисперсий, К – число степеней свободы
m | Значения K | ||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 16 | |
2 | 0.9999 | 0.995 | 0.9794 | 0.9586 | 0.9373 | 0.9172 | 0.8988 | 0.8823 | 0.8674 | 0.8539 | 0.7949 |
3 | 9933 | 9423 | 8831 | 8335 | 7933 | 1606 | 7335 | 7107 | 6912 | 6743 | 6059 |
4 | 9676 | 8643 | 7814 | 7212 | 6761 | 6410 | 6129 | 5897 | 5702 | 5536 | 4884 |
5 | 0.9279 | 0.7885 | 0.6957 | 0.6329 | 0.5875 | 0.5531 | 0.5259 | 0.5037 | 0.4854 | 0.4697 | 0.4094 |
6 | 8828 | 7218 | 6258 | 5635 | 5195 | 4866 | 4608 | 4401 | 4229 | 4084 | 3529 |
7 | 8376 | 6644 | 5685 | 5080 | 4659 | 4347 | 4105 | 3911 | 3751 | 3616 | 3105 |
8 | 0.7945 | 0.6152 | 0.5209 | 0.4627 | 0.4226 | 0.3932 | 0.3704 | 0.3522 | 0.3373 | 0.3248 | 0.2779 |
9 | 7544 | 5727 | 4810 | 4251 | 3870 | 3592 | 3378 | 3207 | 3067 | 2950 | 2514 |
10 | 7175 | 5358 | 4469 | 3934 | 3572 | 3308 | 3106 | 2945 | 2813 | 2704 | 2297 |
12 | 0.6528 | 0.4751 | 0.3919 | 0.3428 | 0.3099 | 0.2861 | 0.268 | 0.2535 | 0.2419 | 0.232 | 0.1961 |
15 | 5747 | 4069 | 3317 | 2882 | 2593 | 2386 | 2228 | 2104 | 2002 | 1918 | 1612 |
20 | 4799 | 3297 | 2654 | 2288 | 2048 | 1877 | 1748 | 1646 | 1567 | 1501 | 1248 |
24 | 0.4247 | 0.2871 | 0.2295 | 0.197 | 0.1759 | 0.1608 | 0.1495 | 0 | 0.1338 | 0.1283 | 0.106 |
30 | 3632 | 2412 | 1913 | 1635 | 1454 | 1327 | 1232 | 1157 | 1100 | 1054 | 867 |
40 | 2940 | 1915 | 1508 | 1281 | 1135 | 1033 | 0957 | 0898 | 0853 | 0816 | 0668 |
60 | 0.2151 | 0.1371 | 0.1069 | 0.0902 | 0.0796 | 0.0722 | 0.0668 | 0.0625 | 0.0594 | 0.0567 | 0.0461 |
120 | 1225 | 0759 | 0585 | 0489 | 0429 | 0387 | 0357 | 0334 | 0316 | 0302 | 0242 |
∞ | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 |
m | Значения K | ||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 16 | |
2 | 0.9985 | 0.975 | 0.9392 | 0.9057 | 0.8772 | 0.8534 | 0.8332 | 0.8159 | 0.801 | 0.788 | 0.7341 |
3 | 9669 | 8709 | 7977 | 7457 | 7071 | 6771 | 6530 | 6333 | 6167 | 6025 | 5466 |
4 | 9065 | 7679 | 6841 | 6287 | 5895 | 5598 | 5365 | 5175 | 5071 | 4884 | 4366 |
5 | 0.8412 | 0.6839 | 0.5981 | 0.544 | 0.5063 | 0.4783 | 0.4564 | 0.4387 | 0.4241 | 0.4118 | 0.3645 |
6 | 7808 | 6161 | 5321 | 4803 | 4447 | 4184 | 3980 | 3817 | 3682 | 3568 | 3135 |
7 | 7271 | 5612 | 4800 | 4307 | 3974 | 3726 | 3535 | 3384 | 3259 | 3154 | 2756 |
8 | 0.6798 | 0.5157 | 0.4377 | 0.391 | 0.3595 | 0.3362 | 0.3185 | 0.3043 | 0.2926 | 0.2829 | 0.2462 |
9 | 6385 | 4775 | 4027 | 3584 | 3286 | 3067 | 2901 | 2768 | 2639 | 2568 | 2226 |
10 | 6020 | 4450 | 3733 | 3311 | 3029 | 2823 | 2666 | 2541 | 2439 | 2353 | 2032 |
12 | 0.541 | 0.3924 | 0.3264 | 0.288 | 0.2624 | 0.2439 | 0.2299 | 0.2187 | 0.2098 | 0.202 | 0.1737 |
15 | 4709 | 3346 | 2758 | 2419 | 2195 | 2034 | 1911 | 1815 | 1736 | 1671 | 1429 |
20 | 3894 | 2705 | 2205 | 1921 | 1735 | 1602 | 1501 | 1422 | 1357 | 1303 | 1108 |
24 | 0.3434 | 0.2354 | 0.1907 | 0.1656 | 0.1493 | 0.1374 | 0.1268 | 0 | 0.116 | 0.1113 | 0.0942 |
30 | 2929 | 1980 | 1598 | 1377 | 1237 | 1137 | 1061 | 1002 | 0958 | 0921 | 0771 |
40 | 2370 | 1576 | 1259 | 1082 | 0968 | 0887 | 0827 | 0780 | 0745 | 0713 | 0595 |
60 | 0.1737 | 0.1131 | 0.0895 | 0.0765 | 0.0682 | 0.0623 | 0.0583 | 0.0552 | 0.052 | 0.0497 | 0.0411 |
120 | 998 | 0632 | 0495 | 0419 | 0371 | 0337 | 0312 | 0292 | 0279 | 0266 | 0218 |
∞ | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 |
Таблица 14
М – критерий (Бортлетта). Значения и , a=0,01
m | Значения C1 | |||||||||||
0 | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 | 8 | 10 | 12 | 14 | |
3(a) | 9.21 | 9.92 | 10.47 | 10.81 | 9.83 | |||||||
(b) | 9.21 | 9.29 | 9.38 | 9.59 | 9.83 | |||||||
4(a) | 11.34 | 11.95 | 12.46 | 13.11 | 13.03 | 12.03 | ||||||
(b) | 11.34 | 11.4 | 11.46 | 11.63 | 11.82 | 12.03 | ||||||
5(a) | 13.28 | 13.81 | 14.3 | 15.03 | 15.34 | 15.06 | 14.07 | |||||
(b) | 13.28 | 13.33 | 13.39 | 13.53 | 13.69 | 13.87 | 14.07 | |||||
6(a) | 15.09 | 15.58 | 16.03 | 16.79 | 17.27 | 17.37 | 16.98 | 16.03 | ||||
(b) | 15.09 | 15.14 | 19.2 | 15.33 | 15.48 | 15.65 | 15.84 | 16.03 | ||||
7(a) | 16.81 | 17.27 | 17.7 | 18.46 | 19.02 | 19.32 | 19.28 | 18.84 | ||||
(b) | 16.81 | 16.87 | 16.93 | 17.06 | 17.21 | 17.37 | 17.55 | 17.73 | ||||
8(a) | 18.48 | 18.91 | 19.32 | 20.07 | 20.67 | 21.08 | 21.25 | 21.13 | 19.76 | |||
(b) | 18.48 | 18.54 | 18.6 | 18.74 | 18.88 | 19.04 | 19.21 | 19.39 | 19.76 | |||
9(a) | 20.09 | 20.5 | 20.9 | 21.64 | 22.26 | 22.74 | 23.03 | 23.1 | 22.41 | |||
(b) | 20.09 | 20.15 | 20.22 | 20.36 | 20.51 | 20.67 | 20.84 | 21.01 | 21.37 | |||
10(a) | 21.67 | 22.06 | 22.45 | 23.17 | 23.8 | 24.32 | 24.69 | 24.9 | 24.66 | 23.33 | ||
(b) | 21.67 | 21.73 | 21.8 | 21.95 | 22.1 | 22.26 | 22.42 | 22.6 | 22.95 | 23.33 | ||
11(a) | 23.21 | 23.59 | 23.97 | 24.67 | 25.31 | 25.85 | 26.28 | 26.57 | 26.65 | 25.86 | ||
(b) | 23.21 | 23.28 | 23.35 | 23.5 | 23.66 | 23.82 | 23.98 | 24.15 | 24.51 | 24.88 | ||
12(a) | 24.72 | 25.1 | 25.46 | 26.15 | 26.79 | 27.35 | 27.81 | 28.16 | 28.46 | 28.07 | 26.79 | |
(b) | 24.72 | 24.8 | 24.87 | 25.03 | 25.18 | 25.35 | 25.51 | 25.68 | 26.04 | 26.41 | 26.79 | |
13(a) | 26.22 | 26.58 | 26.93 | 27.62 | 28.25 | 28.81 | 29.3 | 29.7 | 30.16 | 30.06 | 29.22 | |
(b) | 26.22 | 26.29 | 26.37 | 26.53 | 26.69 | 26.85 | 27.02 | 27.19 | 27.55 | 27.91 | 28.29 | |
14(a) | 27.69 | 28.04 | 28.39 | 29.06 | 29.69 | 30.26 | 30.77 | 31.19 | 31.77 | 31.88 | 31.39 | 30.16 |
(b) | 27.69 | 27.77 | 27.85 | 28.01 | 28.17 | 28.34 | 28.51 | 28.68 | 29.03 | 29.4 | 29.77 | 30.16 |
15(a) | 29.14 | 29.49 | 29.83 | 30.49 | 30.11 | 31.68 | 32.2 | 32.66 | 33.32 | 33.59 | 33.37 | 32.52 |
(b) | 29.14 | 29.22 | 29.3 | 29.47 | 29.63 | 29.8 | 29.97 | 30.15 | 30.5 | 30.87 | 31.24 | 31.62 |
m | Значения C1 | |||||||||||
0 | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 | 8 | 10 | 12 | 14 | |
3(a) | 5.99 | 6.47 | 6.89 | 7.38 | 7.22 | |||||||
(b) | 5.99 | 6.22 | 6.43 | 6.84 | 7.22 | |||||||
4(a) | 7.81 | 8.24 | 8.63 | 9.21 | 9.43 | 9.18 | ||||||
(b) | 7.81 | 8 | 8.17 | 8.52 | 8.85 | 9.18 | ||||||
5(a) | 9.49 | 9.88 | 10.24 | 10.85 | 11.24 | 11.31 | 11.02 | |||||
(b) | 9.49 | 9.65 | 9.8 | 10.11 | 10.42 | 10.72 | 11.02 | |||||
6(a) | 11.07 | 11.43 | 11.78 | 12.4 | 12.85 | 13.11 | 13.1 | 12.78 | ||||
(b) | 11.07 | 11.22 | 11.36 | 11.65 | 11.94 | 12.22 | 12.5 | 12.78 | ||||
7(a) | 12.59 | 12.94 | 13.27 | 13.88 | 14.38 | 14.73 | 14.88 | 14.81 | ||||
(b) | 12.59 | 12.73 | 12.87 | 13.14 | 13.41 | 13.68 | 13.95 | 14.22 | ||||
8(a) | 14.07 | 14.4 | 14.72 | 15.32 | 15.84 | 16.25 | 16.51 | 16.6 | 16.16 | |||
(b) | 14.07 | 14.2 | 14.33 | 14.59 | 14.85 | 15.11 | 15.38 | 15.64 | 16.16 | |||
9(a) | 15.51 | 15.83 | 16.14 | 16.73 | 17.26 | 17.7 | 18.08 | 18.22 | 18.12 | |||
(b) | 15.51 | 15.63 | 15.76 | 16.02 | 16.27 | 16.52 | 16.78 | 17.03 | 17.54 | |||
10(a) | 16.92 | 17.23 | 17.54 | 18.12 | 18.65 | 19.11 | 19.48 | 19.75 | 19.89 | 19.4 | ||
(b) | 16.92 | 17.04 | 17.17 | 17.41 | 17.66 | 17.91 | 18.16 | 18.41 | 18.91 | 19.4 | ||
11(a) | 18.31 | 18.61 | 18.91 | 19.48 | 20.02 | 20.49 | 20.89 | 21.21 | 21.52 | 21.32 | ||
(b) | 18.31 | 18.43 | 18.55 | 18.79 | 19.04 | 19.28 | 19.52 | 19.77 | 20.26 | 20.75 | ||
12(a) | 19.68 | 19.97 | 20.26 | 20.83 | 21.36 | 21.84 | 22.27 | 22.62 | 23.06 | 23.07 | 22.56 | |
(b) | 19.68 | 19.79 | 19.91 | 20.15 | 20.39 | 20.63 | 20.87 | 21.12 | 21.6 | 22.08 | 22.56 | |
13(a) | 21.03 | 21.32 | 21.6 | 22.16 | 22.69 | 23.18 | 23.62 | 23.99 | 24.53 | 24.7 | 24.44 | |
(b) | 21.03 | 21.14 | 21.26 | 21.5 | 21.74 | 21.97 | 22.21 | 22.45 | 22.92 | 23.4 | 23.88 | |
14(a) | 22.36 | 22.65 | 22.93 | 23.48 | 24.01 | 24.5 | 24.95 | 25.34 | 25.95 | 26.25 | 26.17 | 25.66 |
(b) | 22.36 | 22.48 | 22.6 | 22.83 | 23.06 | 23.3 | 23.53 | 23.77 | 24.24 | 24.71 | 25.19 | 25.66 |
15(a) | 23.68 | 23.97 | 24.24 | 24.79 | 25.31 | 25.8 | 26.26 | 26.67 | 27.33 | 27.73 | 27.8 | 27.5 |
(b) | 23.68 | 23.8 | 23.92 | 24.15 | 24.38 | 24.61 | 24.85 | 25.08 | 15.55 | 26.01 | 26.48 | 26.95 |
Таблица 15
Значения критерия для , где m – число сравниваемых выборок
m | n | |||||||||||
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 15 | 20 | |
2 | 52.6 | 5.82 | 3.05 | 2.26 | 1.99 | 1.78 | 1.62 | 1.51 | 1.41 | 1.33 | 1.25 | 1.17 |
3 | 46.1 | 5.73 | 3.12 | 2.33 | 2.06 | 1.84 | 1.68 | 1.54 | 1.43 | 1.35 | 1.26 | 1.18 |
4 | 38.8 | 5.42 | 3 | 2.26 | 2.01 | 1.81 | 1.66 | 1.54 | 1.43 | 1.35 | 1.26 | 1.18 |
5 | 33.2 | 5.14 | 2.92 | 2.22 | 1.97 | 1.78 | 1.62 | 1.5 | 1.42 | 1.34 | 1.25 | 1.18 |
10 | 21.3 | 4.36 | 2.64 | 2.06 | 1.84 | 1.66 | 1.54 | 1.44 | 1.38 | 1.31 | 1.23 | 1.16 |
20 | 15.2 | 3.79 | 2.41 | 1.93 | 1.74 | 1.58 | 1.44 | 1.38 | 1.32 | 1.26 | 1.2 | 1.14 |
25 | 13.9 | 3.64 | 2.38 | 1.87 | 1.68 | 1.54 | 1.42 | 1.36 | 1.31 | 1.25 | 1.19 | 1.13 |
50 | 11.4 | 3.29 | 2.15 | 1.74 | 1.59 | 1.48 | 1.38 | 1.32 | 1.27 | 1.21 | 1.17 | 1.12 |
Таблица 16
Критерий знаков. Доверительные пределы для медианы.
M | Номинальный уровень значимости α | M | Номинальный уровень значимости α | ||||||||
0.1 | 0.05 | 0.025 | 0.01 | 0.005 | 0.1 | 0.05 | 0.025 | 0.01 | 0.005 | ||
0 | 4 | 5 | 6 | 7 | 8 | 26 | 64 | 67 | 70 | 73 | 76 |
1 | 7 | 8 | 9 | 11 | 12 | 27 | 66 | 69 | 72 | 76 | 78 |
2 | 9 | 11 | 12 | 14 | 15 | 28 | 68 | 71 | 74 | 78 | 80 |
3 | 12 | 13 | 15 | 17 | 18 | 29 | 70 | 74 | 77 | 80 | 83 |
4 | 14 | 16 | 17 | 19 | 21 | 30 | 72 | 76 | 79 | 83 | 85 |
5 | 17 | 18 | 20 | 22 | 24 | 31 | 75 | 78 | 81 | 85 | 87 |
6 | 19 | 21 | 23 | 25 | 26 | 32 | 77 | 80 | 83 | 87 | 90 |
7 | 21 | 23 | 25 | 27 | 29 | 33 | 79 | 82 | 86 | 89 | 92 |
8 | 24 | 26 | 28 | 30 | 32 | 34 | 81 | 85 | 88 | 92 | 94 |
9 | 26 | 28 | 30 | 33 | 34 | 35 | 83 | 87 | 90 | 94 | 97 |
10 | 28 | 30 | 33 | 35 | 37 | 36 | 85 | 89 | 92 | 96 | 99 |
11 | 31 | 33 | 35 | 38 | 39 | 37 | 87 | 91 | 94 | 98 | 101 |
12 | 35 | 35 | 37 | 30 | 42 | 38 | 90 | 93 | 97 | 101 | 104 |
13 | 35 | 37 | 40 | 42 | 44 | 39 | 92 | 96 | 99 | 103 | 106 |
14 | 37 | 40 | 42 | 45 | 47 | 40 | 94 | 98 | 101 | 105 | 108 |
15 | 39 | 42 | 44 | 47 | 49 | 41 | 96 | 100 | 103 | 108 | 110 |
16 | 42 | 44 | 47 | 50 | 52 | 42 | 98 | 102 | 106 | 110 | 113 |
17 | 44 | 47 | 49 | 52 | 54 | 43 | 100 | 104 | 108 | 112 | 115 |
18 | 46 | 49 | 51 | 54 | 57 | 44 | 102 | 106 | 110 | 114 | 117 |
19 | 48 | 51 | 54 | 57 | 59 | 45 | 105 | 109 | 112 | 117 | 120 |
20 | 51 | 53 | 56 | 59 | 61 | 46 | 107 | 111 | 114 | 119 | 122 |
21 | 53 | 56 | 58 | 62 | 64 | 47 | 109 | 113 | 117 | 121 | 124 |
22 | 55 | 58 | 61 | 64 | 66 | 48 | 111 | 115 | 119 | 123 | 126 |
23 | 57 | 60 | 63 | 66 | 69 | 49 | 113 | 117 | 121 | 125 | 129 |
24 | 59 | 62 | 65 | 69 | 71 | 50 | 115 | 119 | 123 | 128 | 131 |
25 | 62 | 65 | 67 | 71 | 73 | 51 | 117 | 122 | 125 | 130 | 133 |
Таблица 17
Значения W – статистики критерия Вилкоксона
m | n | α | m | n | α | ||||||||||||
0.1 | 0.05 | 0.025 | 0.01 | 0.1 | 0.05 | 0.025 | 0.01 | ||||||||||
1 | 2 | 2 | 11 | 6 | 4 | 3 | |||||||||||
3 | 12 | 7 | 5 | 4 | |||||||||||||
4 | 13 | 7 | 5 | 4 | 3 | ||||||||||||
5 | 14 | 8 | 6 | 4 | 3 | ||||||||||||
6 | 15 | 8 | 6 | 4 | 3 | ||||||||||||
7 | 16 | 8 | 6 | 4 | 3 | ||||||||||||
8 | 17 | 9 | 6 | 5 | 3 | ||||||||||||
9 | 1 | 18 | 9 | 7 | 5 | 3 | |||||||||||
10 | 1 | 19 | 10 | 7 | 5 | 4 | |||||||||||
11 | 1 | 20 | 10 | 7 | 5 | 4 | |||||||||||
12 | 1 | 21 | 11 | 8 | 6 | 4 | |||||||||||
13 | 1 | 22 | 11 | 8 | 6 | 4 | |||||||||||
14 | 1 | 23 | 12 | 8 | 6 | 4 | |||||||||||
15 | 1 | 24 | 12 | 9 | 6 | 4 | |||||||||||
16 | 1 | 25 | 12 | 9 | 6 | 4 | |||||||||||
17 | 1 | ||||||||||||||||
18 | 1 | 3 | 3 | 7 | 6 | ||||||||||||
19 | 2 | 1 | 4 | 7 | 6 | ||||||||||||
20 | 2 | 1 | 5 | 8 | 7 | 6 | |||||||||||
21 | 2 | 1 | 6 | 9 | 8 | 7 | |||||||||||
22 | 2 | 1 | 7 | 10 | 8 | 7 | 6 | ||||||||||
23 | 2 | 1 | 8 | 11 | 9 | 8 | 6 | ||||||||||
24 | 2 | 1 | 9 | 11 | 10 | 8 | 7 | ||||||||||
25 | 2 | 1 | 10 | 12 | 10 | 9 | 7 | ||||||||||
11 | 13 | 11 | 9 | 7 | |||||||||||||
2 | 2 | 12 | 14 | 11 | 10 | 8 | |||||||||||
3 | 3 | 13 | 15 | 12 | 10 | 8 | |||||||||||
4 | 3 | 14 | 16 | 13 | 11 | 8 | |||||||||||
5 | 4 | 3 | 15 | 16 | 13 | 11 | 9 | ||||||||||
6 | 4 | 3 | 16 | 17 | 14 | 12 | 9 | ||||||||||
7 | 4 | 3 | 17 | 18 | 15 | 12 | 10 | ||||||||||
8 | 5 | 4 | 3 | 18 | 19 | 15 | 13 | 10 | |||||||||
9 | 5 | 4 | 3 | 19 | 20 | 16 | 13 | 10 | |||||||||
10 | 6 | 4 | 3 | 20 | 21 | 17 | 14 | 11 | |||||||||
m | n | α | m | n | α | ||||||||||||
0.1 | 0.05 | 0.025 | 0.01 | 0.1 | 0.05 | 0.025 | 0.01 | ||||||||||
3 | 21 | 21 | 17 | 14 | 11 | 5 | 13 | 33 | 30 | 27 | 24 | ||||||
22 | 22 | 18 | 15 | 12 | 14 | 35 | 31 | 28 | 25 | ||||||||
23 | 23 | 19 | 15 | 12 | 15 | 37 | 33 | 29 | 26 | ||||||||
24 | 24 | 19 | 15 | 12 | 16 | 38 | 34 | 30 | 27 | ||||||||
25 | 25 | 20 | 16 | 13 | 17 | 40 | 35 | 32 | 28 | ||||||||
18 | 42 | 37 | 33 | 29 | |||||||||||||
4 | 4 | 13 | 11 | 10 | 19 | 43 | 38 | 34 | 30 | ||||||||
5 | 14 | 12 | 11 | 10 | 20 | 45 | 40 | 35 | 31 | ||||||||
6 | 15 | 13 | 12 | 11 | 21 | 47 | 41 | 37 | 32 | ||||||||
7 | 16 | 14 | 13 | 11 | 22 | 48 | 43 | 38 | 33 | ||||||||
8 | 17 | 15 | 14 | 12 | 23 | 50 | 44 | 39 | 34 | ||||||||
9 | 19 | 16 | 14 | 13 | 24 | 51 | 45 | 40 | 35 | ||||||||
10 | 20 | 17 | 15 | 13 | 25 | 53 | 47 | 42 | 36 | ||||||||
11 | 21 | 18 | 16 | 14 | |||||||||||||
12 | 22 | 19 | 17 | 15 | 6 | 6 | 30 | 28 | 26 | 24 | |||||||
13 | 23 | 20 | 18 | 15 | 7 | 32 | 30 | 27 | 25 | ||||||||
14 | 25 | 21 | 19 | 16 | 8 | 34 | 31 | 29 | 27 | ||||||||
15 | 26 | 22 | 20 | 17 | 9 | 36 | 33 | 31 | 28 | ||||||||
16 | 27 | 24 | 21 | 17 | 10 | 38 | 35 | 32 | 29 | ||||||||
17 | 28 | 25 | 21 | 18 | 11 | 40 | 37 | 34 | 30 | ||||||||
18 | 30 | 26 | 22 | 19 | 12 | 42 | 38 | 35 | 32 | ||||||||
19 | 31 | 27 | 23 | 19 | 13 | 44 | 40 | 37 | 33 | ||||||||
20 | 32 | 28 | 24 | 20 | 14 | 46 | 42 | 38 | 34 | ||||||||
21 | 33 | 29 | 25 | 21 | 15 | 48 | 44 | 40 | 36 | ||||||||
22 | 35 | 30 | 26 | 21 | 16 | 50 | 46 | 42 | 37 | ||||||||
23 | 36 | 31 | 27 | 22 | 17 | 52 | 47 | 43 | 39 | ||||||||
24 | 38 | 32 | 27 | 23 | 18 | 55 | 49 | 45 | 40 | ||||||||
25 | 38 | 33 | 28 | 23 | 19 | 57 | 51 | 46 | 41 | ||||||||
20 | 59 | 53 | 48 | 43 | |||||||||||||
5 | 5 | 20 | 19 | 17 | 16 | 21 | 61 | 55 | 50 | 44 | |||||||
6 | 21 | 20 | 18 | 17 | 22 | 63 | 57 | 51 | 45 | ||||||||
7 | 23 | 21 | 20 | 18 | 23 | 65 | 58 | 53 | 47 | ||||||||
8 | 25 | 23 | 21 | 19 | 24 | 67 | 60 | 54 | 48 | ||||||||
9 | 27 | 24 | 22 | 20 | 25 | 69 | 62 | 56 | 50 | ||||||||
10 | 28 | 26 | 23 | 21 | |||||||||||||
11 | 30 | 27 | 24 | 22 | 7 | 7 | 41 | 39 | 36 | 34 | |||||||
12 | 32 | 28 | 26 | 23 | 8 | 44 | 41 | 38 | 35 | ||||||||
m | n | α | m | n | α | ||||||||||||
0.1 | 0.05 | 0.025 | 0.01 | 0.1 | 0.05 | 0.025 | 0.01 | ||||||||||
7 | 9 | 46 | 43 | 40 | 37 | 9 | 9 | 70 | 66 | 62 | 59 | ||||||
10 | 49 | 45 | 42 | 39 | 10 | 73 | 69 | 65 | 61 | ||||||||
11 | 51 | 47 | 44 | 40 | 11 | 76 | 72 | 68 | 63 | ||||||||
12 | 54 | 49 | 46 | 42 | 12 | 80 | 75 | 71 | 66 | ||||||||
13 | 56 | 52 | 48 | 44 | 13 | 83 | 78 | 73 | 68 | ||||||||
14 | 59 | 54 | 50 | 45 | 14 | 86 | 81 | 76 | 71 | ||||||||
15 | 61 | 56 | 52 | 47 | 15 | 90 | 84 | 79 | 73 | ||||||||
16 | 64 | 58 | 54 | 49 | 16 | 93 | 87 | 82 | 76 | ||||||||
17 | 66 | 61 | 56 | 51 | 17 | 97 | 90 | 84 | 78 | ||||||||
18 | 69 | 63 | 58 | 52 | 18 | 100 | 93 | 87 | 81 | ||||||||
19 | 71 | 65 | 60 | 54 | 19 | 103 | 96 | 90 | 83 | ||||||||
20 | 74 | 67 | 62 | 56 | 20 | 107 | 99 | 93 | 85 | ||||||||
21 | 76 | 69 | 64 | 58 | 21 | 110 | 102 | 95 | 88 | ||||||||
22 | 79 | 72 | 66 | 59 | 22 | 113 | 105 | 98 | 90 | ||||||||
23 | 81 | 74 | 68 | 61 | 23 | 117 | 108 | 101 | 93 | ||||||||
24 | 84 | 76 | 70 | 63 | 24 | 120 | 111 | 104 | 95 | ||||||||
25 | 86 | 78 | 72 | 64 | 25 | 123 | 114 | 107 | 98 | ||||||||
8 | 8 | 55 | 51 | 49 | 45 | 10 | 10 | 87 | 82 | 78 | 74 | ||||||
9 | 58 | 54 | 51 | 47 | 11 | 91 | 86 | 81 | 77 | ||||||||
10 | 60 | 56 | 53 | 49 | 12 | 94 | 89 | 84 | 79 | ||||||||
11 | 63 | 59 | 55 | 51 | 13 | 98 | 92 | 88 | 82 | ||||||||
12 | 66 | 62 | 58 | 53 | 14 | 102 | 96 | 91 | 85 | ||||||||
13 | 69 | 64 | 60 | 56 | 15 | 106 | 99 | 94 | 88 | ||||||||
14 | 72 | 67 | 62 | 58 | 16 | 109 | 103 | 97 | 91 | ||||||||
15 | 75 | 69 | 65 | 60 | 17 | 113 | 106 | 100 | 93 | ||||||||
16 | 78 | 72 | 67 | 62 | 18 | 117 | 110 | 103 | 96 | ||||||||
17 | 81 | 75 | 70 | 64 | 19 | 121 | 113 | 107 | 99 | ||||||||
18 | 84 | 77 | 72 | 66 | 20 | 125 | 117 | 110 | 102 | ||||||||
19 | 87 | 80 | 74 | 68 | 21 | 128 | 120 | 113 | 105 | ||||||||
20 | 90 | 83 | 77 | 70 | 22 | 132 | 123 | 116 | 108 | ||||||||
21 | 92 | 85 | 79 | 72 | 23 | 136 | 127 | 119 | 110 | ||||||||
22 | 95 | 88 | 81 | 74 | 24 | 140 | 130 | 122 | 113 | ||||||||
23 | 98 | 90 | 84 | 76 | 25 | 144 | 134 | 126 | 116 | ||||||||
24 | 101 | 9 | 86 | 78 | |||||||||||||
25 | 104 | 96 | 89 | 81 | 11 | 11 | 106 | 100 | 96 | 91 | |||||||
12 | 110 | 104 | 99 | 94 | |||||||||||||
m | n | α | m | n | α | ||||||||||||
0.1 | 0.05 | 0.025 | 0.01 | 0.1 | 0.05 | 0.025 | 0.01 | ||||||||||
11 | 13 | 114 | 108 | 103 | 97 | 13 | 21 | 190 | 180 | 171 | 162 | ||||||
14 | 118 | 112 | 106 | 100 | 22 | 195 | 185 | 176 | 166 | ||||||||
15 | 123 | 116 | 110 | 103 | 23 | 200 | 189 | 180 | 170 | ||||||||
16 | 127 | 120 | 113 | 107 | 24 | 205 | 194 | 185 | 174 | ||||||||
17 | 131 | 123 | 117 | 110 | 25 | 211 | 199 | 189 | 178 | ||||||||
18 | 135 | 127 | 121 | 113 | |||||||||||||
19 | 139 | 131 | 124 | 116 | 14 | 14 | 174 | 166 | 160 | 152 | |||||||
20 | 144 | 135 | 128 | 119 | 15 | 179 | 171 | 164 | 156 | ||||||||
21 | 148 | 139 | 131 | 123 | 16 | 185 | 176 | 169 | 161 | ||||||||
22 | 152 | 143 | 135 | 126 | 17 | 190 | 182 | 174 | 165 | ||||||||
23 | 156 | 147 | 139 | 129 | 18 | 196 | 187 | 179 | 170 | ||||||||
24 | 161 | 151 | 142 | 132 | 19 | 202 | 192 | 183 | 174 | ||||||||
25 | 165 | 155 | 146 | 136 | 20 | 207 | 197 | 188 | 178 | ||||||||
21 | 213 | 202 | 193 | 183 | |||||||||||||
12 | 12 | 127 | 120 | 115 | 109 | 22 | 218 | 207 | 198 | 187 | |||||||
13 | 131 | 125 | 119 | 113 | 23 | 224 | 212 | 203 | 192 | ||||||||
14 | 136 | 129 | 123 | 116 | 24 | 229 | 218 | 207 | 196 | ||||||||
15 | 141 | 133 | 127 | 120 | 25 | 235 | 223 | 212 | 200 | ||||||||
16 | 145 | 138 | 131 | 124 | |||||||||||||
17 | 150 | 142 | 135 | 127 | 15 | 15 | 200 | 192 | 184 | 176 | |||||||
18 | 155 | 146 | 139 | 131 | 16 | 206 | 197 | 190 | 181 | ||||||||
19 | 159 | 150 | 143 | 134 | 17 | 212 | 203 | 195 | 186 | ||||||||
20 | 164 | 155 | 147 | 138 | 18 | 218 | 208 | 200 | 190 | ||||||||
21 | 169 | 159 | 151 | 142 | 19 | 224 | 214 | 205 | 195 | ||||||||
22 | 173 | 163 | 155 | 145 | 20 | 230 | 220 | 210 | 200 | ||||||||
23 | 178 | 168 | 159 | 149 | 21 | 236 | 225 | 216 | 205 | ||||||||
24 | 183 | 172 | 163 | 153 | 22 | 242 | 231 | 221 | 210 | ||||||||
25 | 187 | 176 | 167 | 156 | 23 | 248 | 236 | 226 | 214 | ||||||||
24 | 254 | 242 | 231 | 219 | |||||||||||||
13 | 13 | 149 | 142 | 136 | 130 | 25 | 260 | 248 | 237 | 224 | |||||||
14 | 154 | 147 | 141 | 134 | |||||||||||||
15 | 159 | 152 | 145 | 138 | 16 | 16 | 229 | 219 | 211 | 202 | |||||||
16 | 165 | 156 | 150 | 142 | 17 | 235 | 225 | 217 | 207 | ||||||||
17 | 170 | 161 | 154 | 146 | 18 | 242 | 231 | 222 | 212 | ||||||||
18 | 175 | 166 | 158 | 150 | 19 | 248 | 237 | 228 | 218 | ||||||||
19 | 180 | 171 | 163 | 154 | 20 | 255 | 243 | 234 | 223 | ||||||||
20 | 185 | 175 | 167 | 158 | 21 | 261 | 249 | 239 | 228 | ||||||||
m | n | α | m | n | α | ||||||||||||
0.1 | 0.05 | 0.025 | 0.01 | 0.1 | 0.05 | 0.025 | 0.01 | ||||||||||
16 | 22 | 267 | 255 | 245 | 233 | 20 | 20 | 361 | 348 | 377 | 324 | ||||||
23 | 274 | 261 | 251 | 238 | 21 | 370 | 356 | 344 | 331 | ||||||||
24 | 280 | 267 | 256 | 244 | 22 | 378 | 364 | 351 | 337 | ||||||||
25 | 287 | 273 | 262 | 249 | 23 | 386 | 371 | 359 | 344 | ||||||||
24 | 394 | 379 | 366 | 351 | |||||||||||||
17 | 17 | 259 | 249 | 240 | 230 | 25 | 403 | 387 | 373 | 358 | |||||||
18 | 266 | 255 | 246 | 235 | |||||||||||||
19 | 273 | 262 | 252 | 241 | 21 | 21 | 399 | 385 | 373 | 359 | |||||||
20 | 280 | 268 | 258 | 246 | 22 | 408 | 393 | 381 | 366 | ||||||||
21 | 287 | 274 | 264 | 252 | 23 | 417 | 401 | 388 | 373 | ||||||||
22 | 294 | 281 | 270 | 258 | 24 | 425 | 410 | 396 | 381 | ||||||||
23 | 300 | 287 | 276 | 263 | 25 | 434 | 418 | 404 | 388 | ||||||||
24 | 307 | 294 | 282 | 269 | |||||||||||||
25 | 314 | 300 | 288 | 275 | 22 | 22 | 439 | 424 | 411 | 396 | |||||||
23 | 448 | 432 | 419 | 403 | |||||||||||||
18 | 18 | 291 | 280 | 270 | 259 | 24 | 457 | 441 | 427 | 411 | |||||||
19 | 299 | 287 | 277 | 265 | 25 | 467 | 450 | 435 | 419 | ||||||||
20 | 306 | 294 | 283 | 271 | |||||||||||||
21 | 313 | 301 | 290 | 277 | 23 | 23 | 481 | 465 | 451 | 434 | |||||||
22 | 321 | 307 | 296 | 283 | 24 | 491 | 474 | 459 | 443 | ||||||||
23 | 328 | 314 | 303 | 289 | 25 | 500 | 483 | 468 | 451 | ||||||||
24 | 335 | 321 | 309 | 295 | |||||||||||||
25 | 343 | 328 | 316 | 301 | 24 | 24 | 525 | 507 | 492 | 475 | |||||||
25 | 535 | 517 | 501 | 484 | |||||||||||||
19 | 19 | 325 | 313 | 303 | 291 | ||||||||||||
20 | 333 | 320 | 309 | 297 | 25 | 25 | 570 | 552 | 536 | 517 | |||||||
21 | 341 | 328 | 316 | 303 | |||||||||||||
22 | 349 | 335 | 323 | 310 | |||||||||||||
23 | 357 | 342 | 330 | 316 | |||||||||||||
24 | 364 | 350 | 337 | 323 | |||||||||||||
25 | 372 | 357 | 344 | 329 | |||||||||||||
Таблица 18
Преобразование Фишера (Z – преобразование),
r | 0.000 | 0.002 | 0.004 | 0.006 | 0.008 | r | 0.000 | 0.002 | 0.004 | 0.006 | 0.008 |
0.00 | 0.0000 | 0.0020 | 0.0040 | 0.0060 | 0.0080 | 0.23 | 0.2342 | 0.2363 | 0.2384 | 0.2405 | 0.2427 |
0.01 | 0.0100 | 0.0120 | 0.0140 | 0.0160 | 0.0180 | 0.24 | 0.2448 | 0.2469 | 0.2490 | 0.2512 | 0.2533 |
0.02 | 0.0200 | 0.0220 | 0.0240 | 0.0260 | 0.0280 | 0.25 | 0.2554 | 0.2575 | 0.2597 | 0.2618 | 0.2640 |
0.03 | 0.0300 | 0.0320 | 0.0340 | 0.0360 | 0.0380 | 0.26 | 0.2661 | 0.2683 | 0.2704 | 0.2726 | 0.2747 |
0.04 | 0.0400 | 0.0420 | 0.0440 | 0.0460 | 0.0480 | 0.27 | 0.2769 | 0.2790 | 0.2812 | 0.2833 | 0.2855 |
0.05 | 0.0500 | 0.0520 | 0.0541 | 0.0561 | 0.0581 | 0.28 | 0.2877 | 0.2899 | 0.2920 | 0.2942 | 0.2964 |
0.06 | 0.0601 | 0.0621 | 0.0641 | 0.0661 | 0.0681 | 0.29 | 0.2986 | 0.3008 | 0.3029 | 0.3051 | 0.3073 |
0.07 | 0.0701 | 0.0721 | 0.0741 | 0.0761 | 0.0782 | 0.30 | 0.3095 | 0.3117 | 0.3139 | 0.3161 | 0.3183 |
0.08 | 0.0802 | 0.0822 | 0.0842 | 0.0862 | 0.0882 | 0.31 | 0.3205 | 0.3228 | 0.3250 | 0.3272 | 0.3294 |
0.09 | 0.0902 | 0.0923 | 0.0943 | 0.0963 | 0.0983 | 0.32 | 0.3316 | 0.3339 | 0.3361 | 0.3383 | 0.3406 |
0.10 | 0.1003 | 0.1024 | 0.1044 | 0.1064 | 0.1084 | 0.33 | 0.3428 | 0.3451 | 0.3473 | 0.3496 | 0.3518 |
0.11 | 0.1104 | 0.1125 | 0.1145 | 0.1165 | 0.1186 | 0.34 | 0.3541 | 0.3564 | 0.3586 | 0.3609 | 0.3632 |
0.12 | 0.1206 | 0.1226 | 0.1246 | 0.1267 | 0.1287 | 0.35 | 0.3654 | 0.3677 | 0.3700 | 0.3723 | 0.3746 |
0.13 | 0.1307 | 0.1328 | 0.1348 | 0.1368 | 0.1389 | 0.36 | 0.3769 | 0.3792 | 0.3815 | 0.3838 | 0.3861 |
0.14 | 0.1409 | 0.1430 | 0.1450 | 0.1471 | 0.1491 | 0.37 | 0.3884 | 0.3907 | 0.3931 | 0.3954 | 0.3977 |
0.15 | 0.1511 | 0.1532 | 0.1552 | 0.1573 | 0.1593 | 0.38 | 0.4001 | 0.4024 | 0.4047 | 0.4071 | 0.4094 |
0.16 | 0.1614 | 0.1634 | 0.1655 | 0.1676 | 0.1696 | 0.39 | 0.4118 | 0.4142 | 0.4165 | 0.4189 | 0.4213 |
0.17 | 0.1717 | 0.1737 | 0.1758 | 0.1779 | 0.1799 | 0.40 | 0.4236 | 0.4260 | 0.4284 | 0.4308 | 0.4332 |
0.18 | 0.1820 | 0.1841 | 0.1861 | 0.1882 | 0.1903 | 0.41 | 0.4356 | 0.4380 | 0.4404 | 0.4428 | 0.4453 |
0.19 | 0.1923 | 0.1944 | 0.1965 | 0.1986 | 0.2007 | 0.42 | 0.4477 | 0.4501 | 0.4526 | 0.4550 | 0.4574 |
0.20 | 0.2027 | 0.2048 | 0.2069 | 0.2090 | 0.2111 | 0.43 | 0.4599 | 0.4624 | 0.4648 | 0.4673 | 0.4698 |
0.21 | 0.2132 | 0.2153 | 0.2174 | 0.2195 | 0.2216 | 0.44 | 0.4722 | 0.4747 | 0.4772 | 0.4797 | 0.4822 |
0.22 | 0.2237 | 0.2258 | 0.2279 | 0.2300 | 0.2321 | 0.45 | 0.4847 | 0.4872 | 0.4897 | 0.4922 | 0.4948 |
r | 0.000 | 0.002 | 0.004 | 0.006 | 0.008 | r | 0.000 | 0.002 | 0.004 | 0.006 | 0.008 |
0.45 | 0.4847 | 0.4872 | 0.4897 | 0.4922 | 0.4948 | 0.73 | 0.9287 | 0.9330 | 0.9373 | 0.9417 | 0.9461 |
0.46 | 0.4973 | 0.4999 | 0.5024 | 0.5049 | 0.5075 | 0.74 | 0.9505 | 0.9549 | 0.9594 | 0.9639 | 0.9684 |
0.47 | 0.5101 | 0.5126 | 0.5152 | 0.5178 | 0.5204 | 0.75 | 0.9730 | 0.9775 | 0.9822 | 0.9868 | 0.9915 |
0.48 | 0.5230 | 0.5256 | 0.5282 | 0.5308 | 0.5334 | 0.76 | 0.9962 | 1.0010 | 1.0058 | 1.0106 | 1.0154 |
0.49 | 0.5361 | 0.5387 | 0.5413 | 0.5440 | 0.5466 | 0.77 | 1.0203 | 1.0253 | 1.0302 | 1.0352 | 1.0403 |
0.50 | 0.5493 | 0.5520 | 0.5547 | 0.5573 | 0.5600 | 0.78 | 1.0454 | 1.0505 | 1.0557 | 1.0609 | 1.0661 |
0.51 | 0.5627 | 0.5654 | 0.5682 | 0.5709 | 0.5736 | 0.79 | 1.0714 | 1.0768 | 1.0822 | 1.0876 | 1.0931 |
0.52 | 0.5763 | 0.5791 | 0.5818 | 0.5846 | 0.5874 | 0.80 | 1.0986 | 1.1042 | 1.1098 | 1.1155 | 1.1212 |
0.53 | 0.5901 | 0.5929 | 0.5957 | 0.5985 | 0.6013 | 0.81 | 1.1270 | 1.1329 | 1.1388 | 1.1447 | 1.1507 |
0.54 | 0.6042 | 0.6070 | 0.6098 | 0.6127 | 0.6155 | 0.82 | 1.1568 | 1.1630 | 1.1692 | 1.1754 | 1.1817 |
0.55 | 0.6184 | 0.6213 | 0.6241 | 0.6270 | 0.6299 | 0.83 | 1.1881 | 1.1946 | 1.2011 | 1.2077 | 1.2144 |
0.56 | 0.6328 | 0.6358 | 0.6387 | 0.6416 | 0.6446 | 0.84 | 1.2212 | 1.2280 | 1.2349 | 1.2419 | 1.2490 |
0.57 | 0.6475 | 0.6505 | 0.6535 | 0.6565 | 0.6595 | 0.85 | 1.2562 | 1.2634 | 1.2707 | 1.2782 | 1.2857 |
0.58 | 0.6625 | 0.6655 | 0.6685 | 0.6716 | 0.6746 | 0.86 | 1.2933 | 1.3011 | 1.3089 | 1.3169 | 1.3249 |
0.59 | 0.6777 | 0.6807 | 0.6838 | 0.6869 | 0.6900 | 0.87 | 1.3331 | 1.3414 | 1.3498 | 1.3583 | 1.3670 |
0.60 | 0.6931 | 0.6963 | 0.6994 | 0.7026 | 0.7057 | 0.88 | 1.3758 | 1.3847 | 1.3938 | 1.4030 | 1.4124 |
0.61 | 0.7089 | 0.7121 | 0.7153 | 0.7185 | 0.7218 | 0.89 | 1.4219 | 1.4316 | 1.4415 | 1.4516 | 1.4618 |
0.62 | 0.7250 | 0.7283 | 0.7315 | 0.7348 | 0.7381 | 0.90 | 1.4722 | 1.4828 | 1.4937 | 1.5047 | 1.5160 |
0.63 | 0.7414 | 0.7447 | 0.7481 | 0.7514 | 0.7548 | 0.91 | 1.5275 | 1.5393 | 1.5513 | 1.5636 | 1.5762 |
0.64 | 0.7582 | 0.7616 | 0.7650 | 0.7684 | 0.7718 | 0.92 | 1.5890 | 1.6022 | 1.6157 | 1.6296 | 1.6438 |
0.65 | 0.7753 | 0.7788 | 0.7823 | 0.7858 | 0.7893 | 0.93 | 1.6584 | 1.6734 | 1.6888 | 1.7047 | 1.7211 |
0.66 | 0.7928 | 0.7964 | 0.7999 | 0.8035 | 0.8071 | 0.94 | 1.7380 | 1.7555 | 1.7736 | 1.7923 | 1.8117 |
0.67 | 0.8107 | 0.8144 | 0.8180 | 0.8217 | 0.8254 | 0.95 | 1.8318 | 1.8527 | 1.8745 | 1.8972 | 1.9210 |
0.68 | 0.8291 | 0.8328 | 0.8366 | 0.8404 | 0.8441 | 0.96 | 1.9459 | 1.9721 | 1.9996 | 2.0287 | 2.0595 |
0.69 | 0.8480 | 0.8518 | 0.8556 | 0.8595 | 0.8634 | 0.97 | 2.0923 | 2.1273 | 2.1649 | 2.2054 | 2.2494 |
0.70 | 0.8673 | 0.8712 | 0.8752 | 0.8792 | 0.8832 | 0.98 | 2.2976 | 2.3507 | 2.4101 | 2.4774 | 2.5550 |
0.71 | 0.8872 | 0.8912 | 0.8953 | 0.8994 | 0.9035 | 0.99 | 2.6467 | 2.7587 | 2.9031 | 3.1063 | 3.4534 |
0.72 | 0.9076 | 0.9118 | 0.9160 | 0.9202 | 0.9245 |
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Дата: 2018-12-21, просмотров: 262.