Таблица I
Критические значения оценки коэффициентов
линейной корреляции Пирсона
Объем выборки, n | Уровень значимости Р | Объем | Уровень значимости Р | ||
5 % | 1 % | 5 % | 1 % | ||
4 | 0.937 | 0.990 | 26 | 0.388 | 0.496 |
5 | 0.878 | 0.959 | 27 | 0.381 | 0.487 |
6 | 0.811 | 0.917 | 28 | 0.374 | 0.478 |
7 | 0.754 | 0.874 | 29 | 0.367 | 0.470 |
8 | 0.707 | 0.834 | 30 | 0.361 | 0.463 |
9 | 0.666 | 0.798 | 35 | 0.332 | 0.435 |
10 | 0.632 | 0.765 | 40 | 0.310 | 0.407 |
11 | 0.602 | 0.735 | 45 | 0.292 | 0.384 |
12 | 0.576 | 0.708 | 50 | 0.277 | 0.364 |
13 | 0.553 | 0.684 | 60 | 0.253 | 0.333 |
14 | 0.514 | 0.641 | 80 | 0.219 | 0.288 |
16 | 0.497 | 0.623 | 90 | 0.206 | 0.272 |
17 | 0.482 | 0.606 | 100 | 0.196 | 0.258 |
18 | 0.469 | 0.590 | 125 | 0.175 | 0.230 |
19 | 0.456 | 0.575 | 150 | 0.160 | 0.210 |
20 | 0.444 | 0.561 | 200 | 0.138 | 0.182 |
21 | 0.433 | 0.549 | 250 | 0.124 | 0.163 |
22 | 0.423 | 0.537 | 300 | 0.113 | 0.148 |
23 | 0.413 | 0.526 | 400 | 0.098 | 0.128 |
24 | 0.404 | 0.515 | 500 | 0.088 | 0.115 |
25 | 0.396 | 0.505 | 1000 | 0.062 | 0.081 |
Таблица II
Критические значения коэффициента Стьюдента (t-критерия)
для различной доверительной вероятности p и числа
степеней свободы f
f | p | f | p | ||||
0.05 | 0.01 | 0.001 | 0.05 | 0.01 | 0.001 | ||
1 | 12.7060 | 63.6560 | 636.6190 | 20 | 2.0860 | 2.8453 | 3.8495 |
2 | 4.3020 | 9.9240 | 31.5990 | 25 | 2.0595 | 2.7874 | 3.7251 |
3 | 3.1820 | 5.8400 | 12.9240 | 30 | 2.0423 | 2.7500 | 3.6460 |
4 | 2.7760 | 4.6040 | 8.6100 | 40 | 2.0211 | 2.7045 | 3.5510 |
5 | 2.5700 | 4.0321 | 6.8630 | 50 | 2.0086 | 2.6778 | 3.4060 |
6 | 2.4460 | 3.7070 | 5.9580 | 55 | 2.0040 | 2.6680 | 3.4760 |
7 | 2.3646 | 3.4995 | 5.4079 | 60 | 2.0003 | 2.6603 | 3.4602 |
8 | 2.3060 | 3.3554 | 5.0413 | 65 | 1.9970 | 2.6536 | 3.4466 |
9 | 2.2622 | 3.2498 | 4.7800 | 70 | 1.9944 | 2.6479 | 3.4350 |
10 | 2.2281 | 3.1693 | 4.5869 | 80 | 1.9900 | 2.6380 | 3.4160 |
11 | 2.2010 | 3.1050 | 4.4370 | 90 | 1.9867 | 2.6316 | 3.4019 |
12 | 2.1788 | 3.0845 | 4.1780 | 100 | 1.9840 | 2.6259 | 3.3905 |
13 | 2.1604 | 3.1123 | 4.2200 | 120 | 1.9719 | 2.6174 | 3.3735 |
14 | 2.1448 | 2.9760 | 4.1400 | 150 | 1.9759 | 2.6090 | 3.3566 |
15 | 2.1314 | 2.9467 | 4.0720 | 200 | 1.9719 | 2.6006 | 3.3398 |
16 | 2.1190 | 2.9200 | 4.0150 | 250 | 1.9695 | 2.5966 | 3.3299 |
17 | 2.1098 | 2.8982 | 3.9650 | 300 | 1.9679 | 2.5923 | 3.3233 |
18 | 2.1009 | 2.8784 | 3.9216 | 400 | 1.9659 | 2.5882 | 3.3150 |
19 | 2.0930 | 2.8609 | 3.8834 | 500 | 1.9640 | 2.7850 | 3.3100 |
f | 0.05 | 0.01 | 0.001 | f | 0.05 | 0.01 | 0.001 |
Примечание. Для двухсторонней связи f = n – 2.
Таблица III
Критические значения оценки коэффициентов корреляции
рангов по Спирмену (R)
Объем | Уровень | Объем | Уровень | ||
0,05 | 0,01 | 0,05 | 0,01 | ||
5 | 0.94 | – | 23 | 0.42 | 0.53 |
6 | 0.85 | – | 24 | 0.41 | 0.52 |
7 | 0.78 | 0.94 | 25 | 0.40 | 0.51 |
8 | 0.72 | 0.88 | 26 | 0.39 | 0.50 |
9 | 0.68 | 0.83 | 27 | 0.38 | 0.49 |
10 | 0.64 | 0.79 | 28 | 0.38 | 0.48 |
11 | 0.61 | 0.76 | 29 | 0.37 | 0.48 |
12 | 0.58 | 0.73 | 30 | 0.36 | 0.47 |
13 | 0.56 | 0.70 | 31 | 0.36 | 0.46 |
14 | 0.54 | 0.68 | 32 | 0.36 | 0.45 |
15 | 0.52 | 0.66 | 33 | 0.34 | 0.45 |
16 | 0.50 | 0.64 | 34 | 0.34 | 0.44 |
17 | 0.48 | 0.62 | 35 | 0.33 | 0.43 |
18 | 0.47 | 0.60 | 36 | 0.33 | 0.43 |
19 | 0.46 | 0.58 | 37 | 0.33 | 0.42 |
20 | 0.45 | 0.57 | 38 | 0.32 | 0.41 |
21 | 0.44 | 0.56 | 39 | 0.32 | 0.41 |
22 | 0.43 | 0.54 | 40 | 0.31 | 0.40 |
Таблица IV
Критические значения (х2) распределения
0,05 | 0,01 | 0,05 | 0,01 | ||
1 | 3.84146 | 6.63490 | 16 | 26.29623 | 31.99993 |
2 | 5.99146 | 9.21034 | 17 | 27.58711 | 33.40866 |
3 | 7.81473 | 11.34487 | 18 | 28.86930 | 34.80531 |
4 | 9.48773 | 13.27670 | 19 | 30.14353 | 36.19087 |
5 | 11.07050 | 15.08627 | 20 | 31.41043 | 37.56623 |
6 | 12.59159 | 16.81189 | 21 | 32.67057 | 38.93217 |
7 | 14.06714 | 18.47531 | 22 | 33.92444 | 40.28936 |
8 | 15.50731 | 20.09024 | 23 | 35.17246 | 41.63840 |
9 | 16.91898 | 21.66599 | 24 | 36.41503 | 42.97982 |
10 | 18.30704 | 23.20925 | 25 | 37.65248 | 44.31410 |
11 | 19.67514 | 24.72497 | 26 | 38.88514 | 45.64168 |
12 | 21.02607 | 26.21697 | 27 | 40.11327 | 46.96294 |
13 | 22.36203 | 27.68825 | 28 | 41.33714 | 48.27824 |
14 | 23.68479 | 29.14124 | 29 | 42.55697 | 49.58788 |
15 | 24.99579 | 30.57791 | 30 | 43.77297 | 50.89218 |
Приложение 4