Форма распределения Стьюдента зависит от числа степеней свободы. Например, критическое значение, соответствующее вероятности 0.05 t-распределения с 6 степенями свободы, находится на пересечении столбца 0.05 и строки 6: t(.05,6) = 1.943180.
dfp |
0.40 |
0.25 |
0.10 |
0.05 |
0.025 |
0.01 |
0.005 |
0.0005 |
1 |
0.324920 | 1.000000 | 3.077684 | 6.313752 | 12.70620 | 31.82052 | 63.65674 | 636.6192 |
2 |
0.288675 | 0.816497 | 1.885618 | 2.919986 | 4.30265 | 6.96456 | 9.92484 | 31.5991 |
3 |
0.276671 | 0.764892 | 1.637744 | 2.353363 | 3.18245 | 4.54070 | 5.84091 | 12.9240 |
4 |
0.270722 | 0.740697 | 1.533206 | 2.131847 | 2.77645 | 3.74695 | 4.60409 | 8.6103 |
5 |
0.267181 | 0.726687 | 1.475884 | 2.015048 | 2.57058 | 3.36493 | 4.03214 | 6.8688 |
6 |
0.264835 | 0.717558 | 1.439756 | 1.943180 | 2.44691 | 3.14267 | 3.70743 | 5.9588 |
7 |
0.263167 | 0.711142 | 1.414924 | 1.894579 | 2.36462 | 2.99795 | 3.49948 | 5.4079 |
8 |
0.261921 | 0.706387 | 1.396815 | 1.859548 | 2.30600 | 2.89646 | 3.35539 | 5.0413 |
9 |
0.260955 | 0.702722 | 1.383029 | 1.833113 | 2.26216 | 2.82144 | 3.24984 | 4.7809 |
10 |
0.260185 | 0.699812 | 1.372184 | 1.812461 | 2.22814 | 2.76377 | 3.16927 | 4.5869 |
11 |
0.259556 | 0.697445 | 1.363430 | 1.795885 | 2.20099 | 2.71808 | 3.10581 | 4.4370 |
12 |
0.259033 | 0.695483 | 1.356217 | 1.782288 | 2.17881 | 2.68100 | 3.05454 | 4.3178 |
13 |
0.258591 | 0.693829 | 1.350171 | 1.770933 | 2.16037 | 2.65031 | 3.01228 | 4.2208 |
14 |
0.258213 | 0.692417 | 1.345030 | 1.761310 | 2.14479 | 2.62449 | 2.97684 | 4.1405 |
15 |
0.257885 | 0.691197 | 1.340606 | 1.753050 | 2.13145 | 2.60248 | 2.94671 | 4.0728 |
16 |
0.257599 | 0.690132 | 1.336757 | 1.745884 | 2.11991 | 2.58349 | 2.92078 | 4.0150 |
17 |
0.257347 | 0.689195 | 1.333379 | 1.739607 | 2.10982 | 2.56693 | 2.89823 | 3.9651 |
18 |
0.257123 | 0.688364 | 1.330391 | 1.734064 | 2.10092 | 2.55238 | 2.87844 | 3.9216 |
19 |
0.256923 | 0.687621 | 1.327728 | 1.729133 | 2.09302 | 2.53948 | 2.86093 | 3.8834 |
20 |
0.256743 | 0.686954 | 1.325341 | 1.724718 | 2.08596 | 2.52798 | 2.84534 | 3.8495 |
21 |
0.256580 | 0.686352 | 1.323188 | 1.720743 | 2.07961 | 2.51765 | 2.83136 | 3.8193 |
22 |
0.256432 | 0.685805 | 1.321237 | 1.717144 | 2.07387 | 2.50832 | 2.81876 | 3.7921 |
23 |
0.256297 | 0.685306 | 1.319460 | 1.713872 | 2.06866 | 2.49987 | 2.80734 | 3.7676 |
24 |
0.256173 | 0.684850 | 1.317836 | 1.710882 | 2.06390 | 2.49216 | 2.79694 | 3.7454 |
25 |
0.256060 | 0.684430 | 1.316345 | 1.708141 | 2.05954 | 2.48511 | 2.78744 | 3.7251 |
26 |
0.255955 | 0.684043 | 1.314972 | 1.705618 | 2.05553 | 2.47863 | 2.77871 | 3.7066 |
27 |
0.255858 | 0.683685 | 1.313703 | 1.703288 | 2.05183 | 2.47266 | 2.77068 | 3.6896 |
28 |
0.255768 | 0.683353 | 1.312527 | 1.701131 | 2.04841 | 2.46714 | 2.76326 | 3.6739 |
29 |
0.255684 | 0.683044 | 1.311434 | 1.699127 | 2.04523 | 2.46202 | 2.75639 | 3.6594 |
30 |
0.255605 | 0.682756 | 1.310415 | 1.697261 | 2.04227 | 2.45726 | 2.75000 | 3.6460 |
inf |
0.253347 | 0.674490 | 1.281552 | 1.644854 | 1.95996 | 2.32635 | 2.57583 | 3.2905 |
Критические точки распределения Стьюдента
(двусторонняя критическая область)
Число степеней свободы k |
Уровень значимости a |
|||||
0.10 | 0.05 | 0.02 | 0.01 | 0.002 | 0.001 | |
1 | 6.31 | 12.7 | 31.82 | 63.7 | 318.3 | 637.0 |
2 | 2.92 | 4.30 | 6.97 | 9.92 | 22.33 | 31.6 |
3 | 2.35 | 3.18 | 4.54 | 5.84 | 10.22 | 12.9 |
4 | 2.13 | 2.78 | 3.75 | 4.60 | 7.17 | 8.61 |
5 | 2.01 | 2.57 | 3.37 | 4.03 | 5.89 | 6.86 |
6 | 1.94 | 2.45 | 3.14 | 3.71 | 5.21 | 5.96 |
7 | 1.89 | 2.36 | 3.00 | 3.50 | 4.79 | 5.40 |
8 | 1.86 | 2.31 | 2.90 | 3.36 | 4.50 | 5.04 |
9 | 1.83 | 2.26 | 2.82 | 3.25 | 4.30 | 4.78 |
10 | 1.81 | 2.23 | 2.76 | 3.17 | 4.14 | 4.59 |
11 | 1.80 | 2.20 | 2.72 | 3.11 | 4.03 | 4.44 |
12 | 1.78 | 2.18 | 2.68 | 3.05 | 3.93 | 4.32 |
13 | 1.77 | 2.16 | 2.65 | 3.01 | 3.85 | 4.22 |
14 | 1.76 | 2.14 | 2.62 | 2.98 | 3.79 | 4.14 |
15 | 1.75 | 2.13 | 2.60 | 2.95 | 3.73 | 4.07 |
16 | 1.75 | 2.12 | 2.58 | 2.92 | 3.69 | 4.01 |
17 | 1.74 | 2.11 | 2.57 | 2.90 | 3.65 | 3.95 |
18 | 1.73 | 2.10 | 2.55 | 2.88 | 3.61 | 3.92 |
19 | 1.73 | 2.09 | 2.54 | 2.86 | 3.58 | 3.88 |
20 | 1.73 | 2.09 | 2.53 | 2.85 | 3.55 | 3.85 |
21 | 1.72 | 2.08 | 2.52 | 2.83 | 3.53 | 3.82 |
22 | 1.72 | 2.07 | 2.51 | 2.82 | 3.51 | 3.79 |
23 | 1.71 | 2.07 | 2.50 | 2.81 | 3.59 | 3.77 |
24 | 1.71 | 2.06 | 2.49 | 2.80 | 3.47 | 3.74 |
25 | 1.71 | 2.06 | 2.49 | 2.79 | 3.45 | 3.72 |
26 | 1.71 | 2.06 | 2.48 | 2.78 | 3.44 | 3.71 |
27 | 1.71 | 2.05 | 2.47 | 2.77 | 3.42 | 3.69 |
28 | 1.70 | 2.05 | 2.46 | 2.76 | 3.40 | 3.66 |
29 | 1.70 | 2.05 | 2.46 | 2.76 | 3.40 | 3.66 |
30 | 1.70 | 2.04 | 2.46 | 2.75 | 3.39 | 3.65 |
40 | 1.68 | 2.02 | 2.42 | 2.70 | 3.31 | 3.55 |
60 | 1.67 | 2.00 | 2.39 | 2.66 | 3.23 | 3.46 |
120 | 1.66 | 1.98 | 2.36 | 2.62 | 3.17 | 3.37 |
¥ | 1.64 | 1.96 | 2.33 | 2.58 | 3.09 | 3.29 |
0.05 | 0.025 | 0.01 | 0.005 | 0.001 | 0.0005 | |
Уровень значимости a (односторонняя критическая область) |
Вернуться Статистические таблицы