ПРИЛОЖЕНИЕ 3
Значения функции Пуассона Pk λ λk e- λ k !
λ |
|
|
|
|
|
|
k |
0,5 |
1 |
1,5 |
2 |
2,5 |
3 |
0 |
0,60653 |
0,36788 |
0,22313 |
0,13534 |
0,08208 |
0,04979 |
|
|
|
|
|
|
|
1 |
0,30327 |
0,36788 |
0,33470 |
0,27067 |
0,20521 |
0,14936 |
|
|
|
|
|
|
|
2 |
0,07582 |
0,18394 |
0,25102 |
0,27067 |
0,25652 |
0,22404 |
|
|
|
|
|
|
|
3 |
0,01264 |
0,06131 |
0,12551 |
0,18045 |
0,21376 |
0,22404 |
|
|
|
|
|
|
|
4 |
0,00158 |
0,01533 |
0,04707 |
0,09022 |
0,13360 |
0,16803 |
|
|
|
|
|
|
|
5 |
0,00016 |
0,00307 |
0,01412 |
0,03609 |
0,06680 |
0,10082 |
|
|
|
|
|
|
|
6 |
0,00001 |
0,00051 |
0,00353 |
0,01203 |
0,02783 |
0,05041 |
|
|
|
|
|
|
|
7 |
|
0,00007 |
0,00076 |
0,00344 |
0,00994 |
0,02160 |
|
|
|
|
|
|
|
8 |
|
0,00001 |
0,00014 |
0,00086 |
0,00311 |
0,00810 |
|
|
|
|
|
|
|
9 |
|
|
0,00002 |
0,00019 |
0,00086 |
0,00270 |
|
|
|
|
|
|
|
10 |
|
|
|
0,00004 |
0,00022 |
0,00081 |
|
|
|
|
|
|
|
11 |
|
|
|
|
0,00005 |
0,00022 |
|
|
|
|
|
|
|
12 |
|
|
|
|
0,00001 |
0,00006 |
|
|
|
|
|
|
|
13 |
|
|
|
|
|
0,00001 |
|
|
|
|
|
|
|
14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
19 |
|
|
|
|
|
|
|
|
|
|
|
|
|
20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
ПРИЛОЖЕНИЕ 4
Квантили распределения Стьюдента tk , p :
p |
Г k 1 / 2 tk , p |
|
|
|
|
|
|
|
|
|
|
|
πk Г k / 2 |
|
|
x2 |
k 1 / 2 |
|
|
|
|
1 |
|
|
dx , |
p 1 α , t |
t |
p |
|
|
|
k |
|
|
1 p |
|
|
|
|
|
|
|
|
k |
p |
0,900 |
0,950 |
0,990 |
0,995 |
|
|
|
|
|
|
|
1 |
3,078 |
6,314 |
31,821 |
63,657 |
|
2 |
1,886 |
2,920 |
6,965 |
9,925 |
|
3 |
1,638 |
2,353 |
4,541 |
5,841 |
|
4 |
1,533 |
2,132 |
3,747 |
4,604 |
|
5 |
1,476 |
2,015 |
3,365 |
4,032 |
|
6 |
1,440 |
1,943 |
3,143 |
3,707 |
|
7 |
1,415 |
1,895 |
2,998 |
3,499 |
|
8 |
1,397 |
1,860 |
2,896 |
3,355 |
|
9 |
1,383 |
1,833 |
2,821 |
3,250 |
|
10 |
0,700 |
1,812 |
2,764 |
3,169 |
|
11 |
1,363 |
1,796 |
2,718 |
3,106 |
|
12 |
1,356 |
1,782 |
2,681 |
3,055 |
|
13 |
1,350 |
1,771 |
2,650 |
3,012 |
|
14 |
1,345 |
1,761 |
2,624 |
2,977 |
|
15 |
1,341 |
1,753 |
2,602 |
2,947 |
|
16 |
1,337 |
1,746 |
2,583 |
2,921 |
|
17 |
1,333 |
1,740 |
2,567 |
2,898 |
|
18 |
1,330 |
1,734 |
2,552 |
2,878 |
|
19 |
1,328 |
1,729 |
2,539 |
2,861 |
|
20 |
1,325 |
1,725 |
2,528 |
2,845 |
|
21 |
1,323 |
1,721 |
2,518 |
2,831 |
|
22 |
1,321 |
1,717 |
2,508 |
2,819 |
|
23 |
1,319 |
1,714 |
2,500 |
2,807 |
|
24 |
1,318 |
1,711 |
2,492 |
2,797 |
|
25 |
1,316 |
1,708 |
2,485 |
2,787 |
|
26 |
1,315 |
1,706 |
2,479 |
2,779 |
|
27 |
3,314 |
1,703 |
2,473 |
2,771 |
|
28 |
1,313 |
1,701 |
2,467 |
2,763 |
|
29 |
1,311 |
1,699 |
2,462 |
2,756 |
|
30 |
1,310 |
1,697 |
2,457 |
2,750 |
|
40 |
1,303 |
1,684 |
2,423 |
2,704 |
|
60 |
3,296 |
1,671 |
2,390 |
2,660 |
120 |
1,289 |
1,658 |
2,358 |
2,617 |
|
|
1,282 |
1,645 |
2,326 |
2,586 |
ПРИЛОЖЕНИЕ 5
Квантили распределения Фишера fk1 ,k2 , p :
|
|
|
n1 / 2 |
|
Г |
|
k1 k2 |
|
/ 2 |
fk1 ,k2 , p |
k1 |
|
|
k1 |
k1 k2 / 2 |
k1 |
|
|
|
|
|
|
|
|
|
/ 2 1 |
|
|
|
|
p |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
x |
|
|
|
1 |
|
|
x |
|
dx |
|
|
|
Г k1 / 2 Г k2 / 2 |
|
|
k2 |
|
k2 |
|
0 |
|
|
|
|
|
|
|
|
|
|
|
p 0,95, что соответствует правосторонней области с α 0,05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
k1 |
|
1 |
|
2 |
|
|
3 |
|
|
4 |
|
5 |
|
6 |
|
|
8 |
|
12 |
|
|
30 |
50 |
100 |
k2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
161 |
|
200 |
|
|
216 |
|
225 |
|
230 |
|
234 |
|
|
239 |
|
244 |
|
248 |
252 |
253 |
2 |
|
18,5 |
|
19,0 |
|
|
19,2 |
19,25 |
|
19,3 |
|
19,33 |
|
19,37 |
|
19,41 |
|
19,44 |
19,47 |
19,49 |
3 |
|
10,13 |
|
9,55 |
|
|
9,28 |
|
9,12 |
|
9,01 |
|
8,94 |
|
|
8,84 |
|
8,74 |
|
8,66 |
8,58 |
8,56 |
4 |
|
7,71 |
|
6,94 |
|
|
6,59 |
|
6,39 |
|
6,26 |
|
6,16 |
|
|
6,04 |
|
5,91 |
|
5,80 |
5,70 |
5,66 |
5 |
|
6,61 |
|
5,79 |
|
|
5,41 |
|
5,19 |
|
5,05 |
|
4,95 |
|
|
4,82 |
|
4,68 |
|
4,56 |
4,44 |
4,40 |
6 |
|
5,99 |
|
5,14 |
|
|
4,76 |
|
4,53 |
|
4,39 |
|
4,28 |
|
|
4,15 |
|
4,00 |
|
3,87 |
3,75 |
3,71 |
7 |
|
5,59 |
|
4,74 |
|
|
4,35 |
|
4,12 |
|
3,97 |
|
3,87 |
|
|
3,73 |
|
3,57 |
|
3,38 |
3,32 |
3,27 |
8 |
|
5,32 |
|
4,46 |
|
|
4,07 |
|
3,84 |
|
3,69 |
|
3,58 |
|
|
3,44 |
|
3,28 |
|
3,15 |
3,03 |
2,98 |
9 |
|
5,12 |
|
4,26 |
|
|
3,86 |
|
3,63 |
|
3,48 |
|
3,37 |
|
|
3,23 |
|
3,07 |
|
2,86 |
2,80 |
2,76 |
10 |
|
4,96 |
|
4,10 |
|
|
3,71 |
|
3,48 |
|
3,33 |
|
3,22 |
|
|
3,07 |
|
2,91 |
|
2,77 |
2,64 |
2,59 |
11 |
|
4,84 |
|
3,98 |
|
|
3,59 |
|
3,36 |
|
3,2 |
|
3,09 |
|
|
2,95 |
|
2,79 |
|
2,57 |
2,51 |
2,46 |
12 |
|
4,85 |
|
3,88 |
|
|
3,49 |
|
3,26 |
|
3,11 |
|
3,00 |
|
|
2,85 |
|
2,69 |
|
2,54 |
2,40 |
2,35 |
13 |
|
4,67 |
|
3,80 |
|
|
3,41 |
|
3,18 |
|
3,02 |
|
2,92 |
|
|
2,77 |
|
2,6 |
|
|
2,38 |
2,31 |
2,26 |
14 |
|
4,6 |
|
3,74 |
|
|
3,34 |
|
3,11 |
|
2,96 |
|
2,85 |
|
|
2,7 |
|
2,53 |
|
2,31 |
2,24 |
2,19 |
15 |
|
4,54 |
|
3,68 |
|
|
3,29 |
|
3,06 |
|
2,9 |
|
2,79 |
|
|
2,64 |
|
2,48 |
|
2,25 |
2,18 |
2,12 |
16 |
|
4,49 |
|
3,63 |
|
|
3,24 |
|
3,01 |
|
2,85 |
|
2,74 |
|
|
2,59 |
|
2,42 |
|
2,19 |
2,12 |
2,07 |
17 |
|
4,45 |
|
3,59 |
|
|
3,20 |
|
2,96 |
|
2,81 |
|
2,70 |
|
|
2,55 |
|
2,38 |
|
2,15 |
2,08 |
2,02 |
18 |
|
4,41 |
|
3,55 |
|
|
3,16 |
|
2,93 |
|
2,77 |
|
2,66 |
|
|
2,51 |
|
2,34 |
|
2,11 |
2,04 |
1,98 |
19 |
|
4,38 |
|
3,52 |
|
|
3,13 |
|
2,90 |
|
2,74 |
|
2,63 |
|
|
2,48 |
|
2,31 |
|
2,07 |
2,00 |
1,94 |
20 |
|
4,35 |
|
3,49 |
|
|
3,10 |
|
2,87 |
|
2,71 |
|
2,60 |
|
|
2,45 |
|
2,28 |
|
2,12 |
1,96 |
1,90 |
25 |
|
4,24 |
|
3,38 |
|
|
2,99 |
|
2,76 |
|
2,60 |
|
2,49 |
|
|
2,34 |
|
2,16 |
|
1,92 |
1,84 |
1,78 |
30 |
|
4,17 |
|
3,32 |
|
|
2,92 |
|
2,69 |
|
2,53 |
|
2,42 |
|
|
2,27 |
|
2,09 |
|
1,93 |
1,76 |
1,69 |
40 |
|
4,08 |
|
3,23 |
|
|
2,84 |
|
2,61 |
|
2,45 |
|
2,34 |
|
|
2,18 |
|
2,00 |
|
1,74 |
1,66 |
1,59 |
50 |
|
4,03 |
|
3,18 |
|
|
2,79 |
|
2,56 |
|
2,29 |
|
2,13 |
|
|
2,02 |
|
1,95 |
|
1,78 |
1,60 |
1,52 |
60 |
|
4,00 |
|
3,15 |
|
|
2,76 |
|
2,52 |
|
2,37 |
|
2,25 |
|
|
2,10 |
|
1,92 |
|
1,65 |
1,56 |
1,48 |
100 |
|
3,94 |
|
3,09 |
|
|
2,70 |
|
2,48 |
|
2,19 |
|
2,03 |
|
|
1,92 |
|
1,85 |
|
1,63 |
1,48 |
1,39 |
120 |
|
3,92 |
|
3,07 |
|
|
2,68 |
|
2,45 |
|
2,29 |
|
2,17 |
|
|
2,02 |
|
1,83 |
|
1,55 |
1,46 |
1,37 |
200 |
|
3,89 |
|
3,04 |
|
|
2,65 |
|
2,41 |
|
2,14 |
|
1,98 |
|
|
1,87 |
|
1,80 |
|
1,62 |
1,42 |
1,32 |
ПРИЛОЖЕНИЕ 7
Критические значения критерия знаков
n |
уровень значимости α |
|
n |
уровень значимости α |
0,05 |
0,01 |
|
0,05 |
0,01 |
|
|
|
6 |
6 |
- |
|
45 |
30 |
32 |
7 |
7 |
- |
|
46 |
31 |
33 |
8 |
8 |
8 |
|
47 |
31 |
33 |
9 |
8 |
9 |
|
48 |
32 |
34 |
10 |
9 |
10 |
|
49 |
32 |
34 |
11 |
10 |
11 |
|
50 |
33 |
35 |
12 |
10 |
11 |
|
51 |
33 |
36 |
13 |
11 |
12 |
|
52 |
34 |
36 |
14 |
12 |
13 |
|
53 |
35 |
37 |
15 |
12 |
13 |
|
54 |
35 |
37 |
16 |
13 |
14 |
|
55 |
36 |
38 |
17 |
13 |
15 |
|
56 |
36 |
39 |
18 |
14 |
15 |
|
57 |
37 |
39 |
19 |
15 |
16 |
|
58 |
37 |
40 |
20 |
15 |
17 |
|
59 |
38 |
40 |
21 |
16 |
17 |
|
60 |
39 |
41 |
22 |
17 |
18 |
|
61 |
39 |
41 |
23 |
17 |
19 |
|
62 |
40 |
42 |
24 |
18 |
19 |
|
63 |
40 |
43 |
25 |
18 |
20 |
|
64 |
41 |
43 |
26 |
19 |
20 |
|
65 |
41 |
44 |
27 |
20 |
21 |
|
66 |
42 |
44 |
28 |
20 |
22 |
|
67 |
42 |
45 |
29 |
21 |
22 |
|
68 |
43 |
46 |
30 |
21 |
23 |
|
69 |
44 |
46 |
31 |
22 |
24 |
|
70 |
44 |
47 |
32 |
23 |
24 |
|
71 |
45 |
47 |
33 |
23 |
25 |
|
72 |
45 |
48 |
34 |
24 |
25 |
|
73 |
46 |
48 |
35 |
24 |
26 |
|
74 |
46 |
49 |
36 |
25 |
27 |
|
75 |
47 |
50 |
37 |
25 |
27 |
|
76 |
48 |
50 |
38 |
26 |
28 |
|
77 |
48 |
51 |
39 |
27 |
28 |
|
78 |
49 |
51 |
40 |
27 |
29 |
|
79 |
49 |
52 |
41 |
28 |
30 |
|
80 |
50 |
52 |
42 |
28 |
30 |
|
85 |
53 |
55 |
43 |
29 |
31 |
|
90 |
55 |
58 |
44 |
29 |
31 |
|
100 |
61 |
64 |
ПРИЛОЖЕНИЕ 8
Критические значения T - критерия Уайта ( α =0,05)
|
большее |
|
|
меньшее число наблюдений |
|
|
|
число |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
|
наблюдений |
|
|
|
|
|
|
|
|
|
|
|
7 |
36 |
|
|
|
|
|
|
|
|
|
8 |
38 |
49 |
|
|
|
|
|
|
|
|
9 |
40 |
51 |
63 |
|
|
|
|
|
|
|
10 |
42 |
53 |
65 |
78 |
|
|
|
|
|
|
11 |
44 |
55 |
68 |
81 |
96 |
|
|
|
|
|
12 |
46 |
58 |
71 |
85 |
99 |
115 |
|
|
|
|
13 |
48 |
60 |
73 |
88 |
103 |
119 |
137 |
|
|
|
14 |
50 |
63 |
76 |
91 |
106 |
123 |
141 |
160 |
|
|
15 |
52 |
65 |
79 |
94 |
110 |
127 |
145 |
164 |
185 |
|
16 |
54 |
67 |
82 |
97 |
114 |
131 |
150 |
169 |
|
|
17 |
56 |
70 |
84 |
100 |
117 |
135 |
154 |
|
|
|
18 |
58 |
72 |
87 |
103 |
121 |
139 |
|
|
|
|
19 |
60 |
74 |
90 |
107 |
124 |
|
|
|
|
|
20 |
62 |
77 |
93 |
110 |
|
|
|
|
|
|
21 |
64 |
79 |
95 |
|
|
|
|
|
|
|
22 |
66 |
82 |
|
|
|
|
|
|
|
|
23 |
68 |
|
|
|
|
|
|
|
|