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Пороговые значения распределения χ² Пирсона
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Таблица 6 П
Значения критерия t Стьюдента
| Число степеней свободы, df | Доверительная вероятность (P) Уровень значимости(α) | ||
| P = 0.095 α = 0.05 | P = 0.099 α = 0.01 | P = 0.0999 α = 0.001 | |
| 2 | 4.303 | 9.925 | 31.598 |
| 3 | 3.182 | 5.841 | 12.941 |
| 4 | 2.776 | 4.604 | 8.610 |
| 5 | 2.571 | 4.032 | 6.859 |
| 6 | 2.447 | 3.707 | 5.959 |
| 7 | 2.365 | 3.499 | 5.405 |
| 8 | 2.306 | 3.355 | 5.041 |
| 9 | 2.262 | 3.250 | 4.781 |
| 10 | 2.228 | 3.169 | 4.587 |
| 11 | 2.201 | 3.106 | 4.437 |
| 12 | 2.179 | 3.055 | 4.318 |
| 13 | 2.160 | 3.012 | 4.221 |
| 14 | 2.145 | 2.977 | 4.140 |
| 15 | 2.131 | 2.947 | 4.073 |
| 16 | 2.120 | 2.921 | 4.015 |
| 17 | 2.110 | 2.898 | 3.965 |
| 18 | 2.101 | 2.878 | 3.922 |
| 19 | 2.093 | 2.861 | 3.883 |
| 20 | 2.086 | 2.845 | 3.850 |
| 22 | 2.074 | 2.819 | 3.792 |
| 25 | 2.060 | 2.787 | 3.725 |
| 30 | 2.042 | 2.750 | 3.646 |
| 35 | 2.030 | 2.724 | 3.591 |
| 40 | 2.021 | 2.704 | 3.551 |
| 45 | 2.014 | 2.690 | 3.520 |
| 50 | 2.008 | 2.678 | 3.496 |
| 55 | 2.004 | 2.669 | 3.476 |
| 60 | 2.000 | 2.660 | 3.460 |
| 70 | 1.994 | 2.648 | 3.435 |
| 80 | 1.989 | 2.638 | 3.416 |
| 90 | 1.986 | 2.631 | 3.402 |
| 100 | 1.982 | 2.625 | 3.390 |
| 120 | 1.980 | 2.617 | 3.373 |
| >120 | 1.960 | 2.5758 | 3.2905 |
Таблица 7П
Значения критерия F Фишера при уровне значимости α = 0.05
(число степеней свободы указано для дисперсии знаменателя – в строке, для дисперсии числителя – в столбце)
| df 1 df 2 | ∞ | |||||||||||||
| 18.5 | 19.0 | 19.2 | 19.3 | 19.3 | 19.3 | 19.4 | 19.4 | 19.4 | 19.4 | 19.4 | 19.5 | 19.5 | 19.4 | |
| 10.1 | 9.6 | 9.3 | 9.1 | 9.0 | 8.9 | 8.9 | 8.9 | 8.8 | 8.8 | 8.7 | 8.7 | 8.6 | 8.5 | |
| 7.7 | 6.9 | 6.6 | 6.4 | 6.3 | 6.2 | 6.1 | 6.0 | 6.0 | 5.9 | 5.9 | 5.8 | 5.8 | 5.6 | |
| 6.6 | 5.8 | 5.4 | 5.2 | 5.1 | 5.0 | 4.9 | 4.8 | 4.8 | 4.7 | 4.6 | 4.6 | 4.5 | 4.4 | |
| 6.0 | 5.1 | 4.7 | 4.5 | 4.4 | 4.3 | 4.2 | 4.2 | 4.1 | 4.1 | 4.0 | 3.9 | 3.8 | 3.7 | |
| 5.6 | 4.7 | 4.4 | 4.1 | 4.0 | 3.9 | 3.8 | 3.7 | 3.7 | 3.6 | 3.5 | 3.4 | 3.4 | 3.2 | |
| 5.3 | 4.5 | 4.1 | 3.8 | 3.7 | 3.6 | 3.5 | 3.4 | 3.4 | 3.3 | 3.2 | 3.2 | 3.1 | 3.0 | |
| 5.1 | 4.3 | 3.9 | 3.6 | 3.5 | 3.4 | 3.3 | 3.2 | 3.2 | 3.1 | 3.0 | 2.9 | 2.9 | 2.7 | |
| 5.0 | 4.1 | 3.7 | 3.5 | 3.3 | 3.2 | 3.1 | 3.1 | 3.0 | 3.0 | 2.9 | 2.8 | 2.7 | 2.5 | |
| 4.8 | 4.0 | 3.6 | 3.4 | 3.2 | 3.1 | 3.0 | 3.0 | 2.9 | 2.9 | 2.7 | 2.7 | 2.6 | 2.4 | |
| 4.7 | 3.9 | 3.5 | 3.3 | 3.1 | 3.0 | 2.9 | 2.9 | 2.8 | 2.8 | 2.6 | 2.5 | 2.5 | 2.3 | |
| 4.7 | 3.8 | 3.4 | 3.2 | 3.0 | 2.9 | 2.8 | 2.8 | 2.7 | 2.7 | 2.5 | 2.5 | 2.4 | 2.2 | |
| 4.6 | 3.7 | 3.3 | 3.1 | 3.0 | 2.9 | 2.8 | 2.7 | 2.7 | 2.6 | 2.5 | 2.4 | 2.3 | 2.1 | |
| 4.5 | 3.7 | 3.3 | 3.1 | 2.9 | 2.8 | 2.7 | 2.6 | 2.6 | 2.5 | 2.4 | 2.3 | 2.2 | 2.1 | |
| 4.5 | 3.6 | 3.2 | 3.0 | 2.8 | 2.7 | 2.7 | 2.6 | 2.5 | 2.5 | 2.3 | 2.3 | 2.2 | 2.0 | |
| 4.4 | 3.6 | 3.2 | 2.9 | 2.8 | 2.7 | 2.6 | 2.5 | 2.5 | 2.4 | 2.3 | 2.2 | 2.1 | 2.0 | |
| 4.4 | 3.5 | 3.2 | 2.9 | 2.8 | 2.7 | 2.6 | 2.5 | 2.5 | 2.4 | 2.3 | 2.2 | 2.1 | 1.9 | |
| 4.4 | 3.5 | 3.1 | 2.9 | 2.7 | 2.6 | 2.5 | 2.5 | 2.4 | 2.4 | 2.2 | 2.2 | 2.1 | 1.9 | |
| 4.3 | 3.5 | 3.1 | 2.9 | 2.7 | 2.6 | 2.5 | 2.4 | 2.4 | 2.3 | 2.2 | 2.1 | 2.0 | 1.8 | |
| 4.3 | 3.5 | 3.1 | 2.8 | 2.7 | 2.6 | 2.5 | 2.4 | 2.4 | 2.3 | 2.2 | 2.1 | 2.0 | 1.8 | |
| 4.3 | 3.4 | 3.0 | 2.8 | 2.7 | 2.5 | 2.5 | 2.4 | 2.3 | 2.3 | 2.1 | 2.1 | 2.0 | 1.8 | |
| 4.3 | 3.4 | 3.0 | 2.8 | 2.6 | 2.5 | 2.4 | 2.4 | 2.3 | 2.3 | 2.1 | 2.0 | 1.9 | 1.8 | |
| 4.3 | 3.4 | 3.0 | 2.8 | 2.6 | 2.5 | 2.4 | 2.4 | 2.3 | 2.2 | 2.1 | 2.0 | 1.9 | 1.7 | |
| 4.2 | 3.4 | 3.0 | 2.7 | 2.6 | 2.5 | 2.4 | 2.3 | 2.3 | 2.2 | 2.1 | 2.0 | 1.9 | 1.7 | |
| 4.2 | 3.3 | 2.9 | 2.7 | 2.6 | 2.4 | 2.4 | 2.3 | 2.2 | 2.2 | 2.0 | 2.0 | 1.9 | 1.6 | |
| 4.2 | 3.3 | 2.9 | 2.7 | 2.5 | 2.4 | 2.3 | 2.3 | 2.2 | 2.2 | 2.0 | 1.9 | 1.8 | 1.6 | |
| 4.1 | 3.2 | 2.8 | 2.6 | 2.4 | 2.3 | 2.2 | 2.2 | 2.1 | 2.1 | 1.9 | 1.8 | 1.7 | 1.5 | |
| 4.0 | 3.1 | 2.8 | 2.5 | 2.4 | 2.2 | 2.2 | 2.1 | 2.0 | 2.0 | 1.8 | 1.7 | 1.6 | 1.4 | |
| 3.9 | 3.1 | 2.7 | 2.4 | 2.3 | 2.2 | 2.1 | 2.0 | 2.0 | 1.9 | 1.7 | 1.7 | 1.6 | 1.2 | |
| ∞ | 3.8 | 3.0 | 2.6 | 2.4 | 2.2 | 2.1 | 2.0 | 1.9 | 1.9 | 1.8 | 1.7 | 1.6 | 1.5 | 1.0 |
Таблица 8П
Значения критерия F Фишера при уровне значимости α = 0.01
(число степеней свободы указано для дисперсии знаменателя – в строке, для дисперсии числителя – в столбце)
| df 1 df 2 | ∞ | |||||||||||||
| 98.5 | 99.0 | 99.2 | 99.2 | 99.3 | 99.3 | 99.4 | 99.4 | 99.4 | 99.4 | 99.4 | 99.4 | 99.5 | 99.5 | |
| 31.4 | 30.8 | 29.5 | 28.7 | 28.4 | 27.9 | 27.7 | 27.5 | 27.3 | 27.2 | 26.9 | 26.7 | 26.5 | 26.1 | |
| 21.2 | 18.0 | 16.7 | 16.0 | 15.5 | 15.2 | 15.0 | 14.8 | 14.7 | 14.5 | 14.2 | 14.0 | 13.8 | 13.5 | |
| 16.3 | 13.3 | 12.1 | 11.4 | 11.0 | 10.7 | 10.5 | 10.3 | 10.2 | 10.0 | 9.7 | 9.5 | 9.4 | 9.0 | |
| 13.7 | 10.9 | 9.8 | 9.1 | 8.7 | 8.5 | 8.3 | 8.1 | 8.0 | 7.9 | 7.6 | 7.4 | 7.2 | 6.9 | |
| 12.3 | 9.5 | 8.5 | 7.8 | 7.5 | 7.2 | 7.0 | 6.8 | 6.7 | 6.6 | 6.3 | 6.2 | 6.0 | 5.6 | |
| 11.3 | 8.7 | 7.6 | 7.0 | 6.6 | 6.4 | 6.2 | 6.0 | 5.9 | 5.8 | 5.5 | 5.4 | 5.2 | 4.9 | |
| 10.6 | 8.0 | 7.0 | 6.4 | 6.1 | 5.8 | 5.6 | 5.5 | 5.3 | 5.3 | 5.0 | 4.8 | 4.6 | 4.3 | |
| 10.0 | 7.6 | 6.5 | 6.0 | 5.6 | 5.4 | 5.2 | 5.1 | 4.9 | 4.8 | 4.6 | 4.4 | 4.2 | 3.9 | |
| 9.7 | 7.2 | 6.2 | 5.7 | 5.3 | 5.1 | 4.9 | 4.7 | 4.6 | 4.5 | 4.2 | 4.1 | 3.9 | 3.6 | |
| 9.3 | 6.9 | 5.9 | 5.4 | 5.1 | 4.8 | 4.6 | 4.5 | 4.4 | 4.3 | 4.0 | 3.9 | 3.7 | 3.4 | |
| 9.1 | 6.7 | 5.7 | 5.2 | 4.9 | 4.6 | 4.4 | 4.3 | 4.2 | 4.1 | 3.8 | 3.7 | 3.5 | 3.2 | |
| 8.9 | 6.5 | 5.6 | 5.0 | 4.7 | 4.5 | 4.3 | 4.1 | 4.0 | 3.9 | 3.7 | 3.5 | 3.3 | 3.0 | |
| 8.7 | 6.4 | 5.4 | 4.9 | 4.6 | 4.3 | 4.1 | 4.0 | 3.9 | 3.8 | 3.5 | 3.4 | 3.2 | 2.9 | |
| 8.5 | 6.2 | 5.3 | 4.8 | 4.4 | 4.2 | 4.0 | 3.9 | 3.8 | 3.7 | 3.4 | 3.3 | 3.1 | 2.7 | |
| 8.4 | 6.1 | 5.2 | 4.7 | 4.3 | 4.1 | 3.9 | 3.8 | 3.7 | 3.6 | 3.3 | 3.2 | 3.0 | 2.6 | |
| 8.3 | 6.0 | 5.1 | 4.6 | 4.2 | 4.0 | 3.8 | 3.7 | 3.6 | 3.5 | 3.2 | 3.1 | 2.9 | 2.6 | |
| 8.2 | 5.9 | 5.0 | 4.5 | 4.2 | 3.9 | 3.8 | 3.6 | 3.5 | 3.4 | 3.1 | 3.0 | 2.8 | 2.5 | |
| 8.1 | 5.8 | 4.9 | 4.4 | 4.1 | 3.9 | 3.7 | 3.6 | 3.5 | 3.4 | 3.1 | 2.9 | 2.8 | 2.4 | |
| 8.0 | 5.8 | 4.9 | 4.4 | 4.0 | 3.8 | 3.6 | 3.5 | 3.4 | 3.3 | 3.0 | 2.9 | 2.7 | 2.4 | |
| 7.9 | 5.7 | 4.8 | 4.3 | 4.0 | 3.8 | 3.6 | 3.4 | 3.3 | 3.3 | 3.0 | 2.8 | 2.7 | 2.3 | |
| 7.9 | 5.7 | 4.8 | 4.3 | 3.9 | 3.7 | 3.5 | 3.4 | 3.3 | 3.2 | 2.9 | 2.7 | 2.6 | 2.3 | |
| 7.8 | 5.6 | 4.7 | 4.2 | 3.9 | 3.7 | 3.5 | 3.4 | 3.3 | 3.2 | 2.9 | 2.7 | 2.6 | 2.2 | |
| 7.7 | 5.5 | 4.6 | 4.1 | 3.8 | 3.6 | 3.4 | 3.3 | 3.2 | 3.1 | 2.8 | 2.7 | 2.5 | 2.1 | |
| 7.6 | 5.4 | 4.6 | 4.1 | 3.7 | 3.5 | 3.4 | 3.2 | 3.1 | 3.0 | 2.7 | 2.6 | 2.4 | 2.1 | |
| 7.6 | 5.4 | 4.5 | 4.0 | 3.7 | 3.5 | 3.3 | 3.2 | 3.1 | 3.0 | 2.7 | 2.5 | 2.4 | 2.0 | |
| 7.3 | 5.2 | 4.3 | 3.8 | 3.5 | 3.3 | 3.1 | 3.0 | 2.9 | 2.8 | 2.5 | 2.4 | 2.2 | 1.8 | |
| 7.1 | 5.0 | 4.1 | 3.6 | 3.3 | 3.1 | 2.9 | 2.8 | 2.7 | 2.6 | 2.3 | 2.2 | 2.0 | 1.6 | |
| 6.8 | 4.8 | 3.9 | 3.5 | 3.2 | 3.0 | 2.8 | 2.7 | 2.6 | 2.5 | 2.2 | 2.0 | 1.9 | 1.4 | |
| ∞ | 6.6 | 4.6 | 3.8 | 3.3 | 3.0 | 2.8 | 2.6 | 2.5 | 2.4 | 2.3 | 2.5 | 1.9 | 1.7 | 1.0 |
Таблица 9 П
Дата публикования: 2014-10-19; Прочитано: 628 | Нарушение авторского права страницы | Мы поможем в написании вашей работы!
