Приложение. Статистические таблицы
Таблица 1. Интеграл вероятностей
U |
Ф(U) |
U |
Ф(U) |
U |
Ф(U) |
U |
Ф(U) |
0.0 |
0.0000 |
1.0 |
0.3413 |
2.0 |
0.4773 |
3.0 |
0.4988 |
0.1 |
0.0398 |
1.1 |
0.3543 |
2.1 |
0.4821 |
3.5 |
0.49977 |
0.2 |
0.0793 |
1.2 |
0.3849 |
2.2 |
0.4861 |
4.0 |
0.49997 |
0.3 |
0.1179 |
1.3 |
0.4032 |
2.3 |
0.4893 |
4.5 |
0.499996 |
0.4 |
0.1554 |
1.4 |
0.4192 |
2.4 |
0.4918 |
5.0 |
0.499999 |
0.5 |
0.1915 |
1.5 |
0.4332 |
2.5 |
0.4938 |
|
|
0.6 |
0.2258 |
1.6 |
0.4452 |
2.6 |
0.4953 |
|
|
0.7 |
0.2580 |
1.7 |
0.4554 |
2.7 |
0.4965 |
|
|
0.8 |
0.2881 |
1.8 |
0.4641 |
2.8 |
0.4974 |
|
|
0.9 |
0.3159 |
1.9 |
0.4713 |
2.9 |
0.4981 |
|
|
Таблица 2. t – распределение Стъюдента
В
таблице приведены значения
в зависимости от числа степеней свободы
m
и ошибки первого рода .
m |
=0,1 |
=0,05 |
=0,01 |
=0,001 |
1 |
6,314 |
12,706 |
63,657 |
636,619 |
2 |
2,920 |
4,303 |
9,925 |
31,598 |
3 |
2,353 |
3,182 |
5,841 |
12,941 |
4 |
2,132 |
2,776 |
4,604 |
8,610 |
5 |
2,015 |
2,571 |
4,032 |
6,859 |
6 |
1,943 |
2,447 |
3,707 |
5,969 |
7 |
1,895 |
2,365 |
3,499 |
5,405 |
8 |
1,860 |
2,306 |
3,355 |
5,041 |
9 |
1,833 |
2,262 |
3,250 |
4,781 |
10 |
1,812 |
2,228 |
3,169 |
4,587 |
15 |
1,753 |
2,131 |
2,947 |
4,073 |
20 |
1,725 |
2,086 |
2,845 |
3,850 |
25 |
1,708 |
2,060 |
2,787 |
3,725 |
30 |
1,697 |
2,042 |
2,750 |
3,646 |
40 |
1,684 |
2,021 |
2,704 |
3,551 |
60 |
1,671 |
2,000 |
2,660 |
3,460 |
120 |
1,658 |
1,980 |
2,617 |
3,373 |
|
1,645 |
1,960 |
2,576 |
3,291 |
Таблица 3. 2 - распределение
В
таблице приведены значения
в зависимости от числа степеней свободы
m
и ошибки первого рода .
m |
=0,1 |
=0,05 |
=0,01 |
=0,001 |
1 |
2,706 |
3,841 |
6,635 |
10,827 |
2 |
4,605 |
5,991 |
9,210 |
13,815 |
3 |
6,251 |
7,815 |
11,341 |
16,268 |
4 |
7,779 |
9,448 |
13,277 |
18,465 |
5 |
9,236 |
11,070 |
15,086 |
20,517 |
6 |
10,645 |
12,592 |
16,812 |
22,457 |
7 |
12,017 |
14,067 |
18,475 |
24,322 |
8 |
13,362 |
15,507 |
20,090 |
26,125 |
9 |
14,684 |
16,919 |
21,666 |
27,877 |
10 |
15,987 |
18,307 |
23,209 |
29,588 |
11 |
17,275 |
19,675 |
24,725 |
31,264 |
12 |
18,549 |
21,026 |
26,217 |
32,909 |
13 |
19,812 |
22,362 |
27,688 |
34,528 |
14 |
21,064 |
23,685 |
29,141 |
36,123 |
15 |
22,307 |
24,996 |
30,578 |
37,697 |
16 |
23,542 |
26,296 |
32,000 |
39,252 |
17 |
24,769 |
27,587 |
33,409 |
40,790 |
18 |
25,989 |
28,869 |
34,805 |
42,312 |
19 |
27,204 |
30,144 |
36,191 |
43,820 |
20 |
28,412 |
31,410 |
37,566 |
45,315 |
21 |
29,615 |
32,671 |
38,932 |
46,797 |
22 |
30,813 |
33,924 |
40,289 |
48,268 |
23 |
32,007 |
35,172 |
41,638 |
49,728 |
24 |
33,196 |
36,415 |
42,980 |
51,179 |
25 |
34,382 |
37,652 |
44,314 |
52,620 |
26 |
35,563 |
38,885 |
45,642 |
54,052 |
27 |
36,741 |
40,113 |
46,968 |
55,476 |
28 |
37,916 |
41,337 |
48,278 |
56,893 |
29 |
39,087 |
42,557 |
49,588 |
58,302 |
30 |
40,256 |
43,773 |
50,892 |
59,703 |
Таблица 4. d – статистика Дарбина-Уотсона
Таблица содержит
значения
и
при ошибке первого рода =0,05,
в зависимости от длины рядов (n)
и количества независимых переменных
(k).
n |
k=1 |
k=2 |
||
dL |
dU |
dL |
dU |
|
15 |
1,08 |
1,36 |
0,95 |
1,54 |
16 |
1,10 |
1,37 |
0,98 |
1,54 |
17 |
1,13 |
1,38 |
1,02 |
1,54 |
18 |
1,16 |
1,39 |
1,05 |
1,53 |
19 |
1,18 |
1,40 |
1,08 |
1,53 |
20 |
1,20 |
1,41 |
1,10 |
1,54 |
25 |
1,29 |
1,45 |
1,21 |
1,55 |
30 |
1,35 |
1,49 |
1,28 |
1,57 |
35 |
1,40 |
1,52 |
1,34 |
1,58 |
40 |
1,44 |
1,54 |
1,39 |
1,60 |
50 |
1,50 |
1,59 |
1,46 |
1,63 |
60 |
1,55 |
1,62 |
1,51 |
1,65 |
70 |
1,58 |
1,64 |
1,55 |
1,67 |
80 |
1,61 |
1,66 |
1,59 |
1,69 |
90 |
1,63 |
1,68 |
1,61 |
1,70 |
100 |
1,65 |
1,69 |
1,63 |
1,72 |