Биостат - помощь / Учебники / Ивантер Коросов Введение в количественную биологию
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286 |
Приложение |
Таблица 6П
Значения критерия Стьюдента
Число |
Доверительная вероятность (P) |
||
степеней |
Уровень значимости (α) |
||
свободы, df |
P=0.095 |
P=0.099 |
P=0.0999 |
|
α=0.05 |
α=0.01 |
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 |
Приложение |
287 |
Таблица 7П
Значения критерия Фишера F при уровне значимости α = 0.05 (число степеней свободы указано для дисперсии знаменателя – в строке, для дисперсии числителя – в столбце)
df1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
12 |
15 |
20 |
30 |
∞ |
df2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
161.0 |
200.0 |
216.0 |
225.0 |
230.0 |
234.0 |
237.0 |
239.0 |
241.0 |
242.0 |
244.0 |
246.0 |
248.0 |
250.0 |
254.0 |
2 |
18.5 |
19.0 |
19.2 |
19.3 |
19.3 |
19.3 |
19.4 |
19.4 |
19.4 |
19.4 |
19.4 |
19.4 |
19.5 |
19.5 |
19.4 |
3 |
10.1 |
9.6 |
9.3 |
9.1 |
9.0 |
8.9 |
8.9 |
8.9 |
8.8 |
8.8 |
8.7 |
8.7 |
8.7 |
8.6 |
8.5 |
4 |
7.7 |
6.9 |
6.6 |
6.4 |
6.3 |
6.2 |
6.1 |
6.0 |
6.0 |
5.9 |
5.9 |
5.9 |
5.8 |
5.8 |
5.6 |
5 |
6.6 |
5.8 |
5.4 |
5.2 |
5.1 |
5.0 |
4.9 |
4.8 |
4.8 |
4.7 |
4.7 |
4.6 |
4.6 |
4.5 |
4.4 |
6 |
6.0 |
5.1 |
4.7 |
4.5 |
4.4 |
4.3 |
4.2 |
4.2 |
4.1 |
4.1 |
4.0 |
4.0 |
3.9 |
3.8 |
3.7 |
7 |
5.6 |
4.7 |
4.4 |
4.1 |
4.0 |
3.9 |
3.8 |
3.7 |
3.7 |
3.6 |
3.6 |
3.5 |
3.4 |
3.4 |
3.2 |
8 |
5.3 |
4.5 |
4.1 |
3.8 |
3.7 |
3.6 |
3.5 |
3.4 |
3.4 |
3.3 |
3.3 |
3.2 |
3.2 |
3.1 |
3.0 |
9 |
5.1 |
4.3 |
3.9 |
3.6 |
3.5 |
3.4 |
3.3 |
3.2 |
3.2 |
3.1 |
3.1 |
3.0 |
2.9 |
2.9 |
2.7 |
10 |
5.0 |
4.1 |
3.7 |
3.5 |
3.3 |
3.2 |
3.1 |
3.1 |
3.0 |
3.0 |
2.9 |
2.9 |
2.8 |
2.7 |
2.5 |
11 |
4.8 |
4.0 |
3.6 |
3.4 |
3.2 |
3.1 |
3.0 |
3.0 |
2.9 |
2.9 |
2.8 |
2.7 |
2.7 |
2.6 |
2.4 |
12 |
4.7 |
3.9 |
3.5 |
3.3 |
3.1 |
3.0 |
2.9 |
2.9 |
2.8 |
2.8 |
2.7 |
2.6 |
2.5 |
2.5 |
2.3 |
13 |
4.7 |
3.8 |
3.4 |
3.2 |
3.0 |
2.9 |
2.8 |
2.8 |
2.7 |
2.7 |
2.6 |
2.5 |
2.5 |
2.4 |
2.2 |
14 |
4.6 |
3.7 |
3.3 |
3.1 |
3.0 |
2.9 |
2.8 |
2.7 |
2.7 |
2.6 |
2.5 |
2.5 |
2.4 |
2.3 |
2.1 |
15 |
4.5 |
3.7 |
3.3 |
3.1 |
2.9 |
2.8 |
2.7 |
2.6 |
2.6 |
2.5 |
2.5 |
2.4 |
2.3 |
2.2 |
2.1 |
16 |
4.5 |
3.6 |
3.2 |
3.0 |
2.8 |
2.7 |
2.7 |
2.6 |
2.5 |
2.5 |
2.4 |
2.3 |
2.3 |
2.2 |
2.0 |
17 |
4.4 |
3.6 |
3.2 |
2.9 |
2.8 |
2.7 |
2.6 |
2.5 |
2.5 |
2.4 |
2.4 |
2.3 |
2.2 |
2.1 |
2.0 |
18 |
4.4 |
3.5 |
3.2 |
2.9 |
2.8 |
2.7 |
2.6 |
2.5 |
2.5 |
2.4 |
2.3 |
2.3 |
2.2 |
2.1 |
1.9 |
19 |
4.4 |
3.5 |
3.1 |
2.9 |
2.7 |
2.6 |
2.5 |
2.5 |
2.4 |
2.4 |
2.3 |
2.2 |
2.2 |
2.1 |
1.9 |
20 |
4.3 |
3.5 |
3.1 |
2.9 |
2.7 |
2.6 |
2.5 |
2.4 |
2.4 |
2.3 |
2.3 |
2.2 |
2.1 |
2.0 |
1.8 |
21 |
4.3 |
3.5 |
3.1 |
2.8 |
2.7 |
2.6 |
2.5 |
2.4 |
2.4 |
2.3 |
2.2 |
2.2 |
2.1 |
2.0 |
1.8 |
22 |
4.3 |
3.4 |
3.0 |
2.8 |
2.7 |
2.5 |
2.5 |
2.4 |
2.3 |
2.3 |
2.2 |
2.1 |
2.1 |
2.0 |
1.8 |
23 |
4.3 |
3.4 |
3.0 |
2.8 |
2.6 |
2.5 |
2.4 |
2.4 |
2.3 |
2.3 |
2.2 |
2.1 |
2.0 |
1.9 |
1.8 |
24 |
4.3 |
3.4 |
3.0 |
2.8 |
2.6 |
2.5 |
2.4 |
2.4 |
2.3 |
2.2 |
2.2 |
2.1 |
2.0 |
1.9 |
1.7 |
26 |
4.2 |
3.4 |
3.0 |
2.7 |
2.6 |
2.5 |
2.4 |
2.3 |
2.3 |
2.2 |
2.1 |
2.1 |
2.0 |
1.9 |
1.7 |
28 |
4.2 |
3.3 |
2.9 |
2.7 |
2.6 |
2.4 |
2.4 |
2.3 |
2.2 |
2.2 |
2.1 |
2.0 |
2.0 |
1.9 |
1.6 |
30 |
4.2 |
3.3 |
2.9 |
2.7 |
2.5 |
2.4 |
2.3 |
2.3 |
2.2 |
2.2 |
2.1 |
2.0 |
1.9 |
1.8 |
1.6 |
40 |
4.1 |
3.2 |
2.8 |
2.6 |
2.4 |
2.3 |
2.2 |
2.2 |
2.1 |
2.1 |
2.0 |
1.9 |
1.8 |
1.7 |
1.5 |
60 |
4.0 |
3.1 |
2.8 |
2.5 |
2.4 |
2.2 |
2.2 |
2.1 |
2.0 |
2.0 |
1.9 |
1.8 |
1.7 |
1.6 |
1.4 |
120 |
3.9 |
3.1 |
2.7 |
2.4 |
2.3 |
2.2 |
2.1 |
2.0 |
2.0 |
1.9 |
1.8 |
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 |
1.7 |
1.6 |
1.5 |
1.0 |
288 |
Приложение |
Таблица 8П
Значения критерия Фишера F при уровне значимости α = 0.01 (число степеней свободы указано для дисперсии знаменателя – в строке, для дисперсии числителя – в столбце)
df1 |
|
|
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|
|
|
|
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|
|
|
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
12 |
15 |
20 |
30 |
∞ |
df2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
4052 |
4999 |
5403 |
5625 |
5764 |
5859 |
5928 |
5982 |
6022 |
6056 |
6106 |
6157 |
6209 |
6261 |
6366 |
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 |
99.4 |
99.5 |
99.5 |
3 |
31.4 |
30.8 |
29.5 |
28.7 |
28.4 |
27.9 |
27.7 |
27.5 |
27.3 |
27.2 |
27.0 |
26.9 |
26.7 |
26.5 |
26.1 |
4 |
21.2 |
18.0 |
16.7 |
16.0 |
15.5 |
15.2 |
15.0 |
14.8 |
14.7 |
14.5 |
14.4 |
14.2 |
14.0 |
13.8 |
13.5 |
5 |
16.3 |
13.3 |
12.1 |
11.4 |
11.0 |
10.7 |
10.5 |
10.3 |
10.2 |
10.0 |
10.0 |
9.7 |
9.5 |
9.4 |
9.0 |
6 |
13.7 |
10.9 |
9.8 |
9.1 |
8.7 |
8.5 |
8.3 |
8.1 |
8.0 |
7.9 |
7.7 |
7.6 |
7.4 |
7.2 |
6.9 |
7 |
12.3 |
9.5 |
8.5 |
7.8 |
7.5 |
7.2 |
7.0 |
6.8 |
6.7 |
6.6 |
6.5 |
6.3 |
6.2 |
6.0 |
5.6 |
8 |
11.3 |
8.7 |
7.6 |
7.0 |
6.6 |
6.4 |
6.2 |
6.0 |
5.9 |
5.8 |
5.7 |
5.5 |
5.4 |
5.2 |
4.9 |
9 |
10.6 |
8.0 |
7.0 |
6.4 |
6.1 |
5.8 |
5.6 |
5.5 |
5.3 |
5.3 |
5.1 |
5.0 |
4.8 |
4.6 |
4.3 |
10 |
10.0 |
7.6 |
6.5 |
6.0 |
5.6 |
5.4 |
5.2 |
5.1 |
4.9 |
4.8 |
4.7 |
4.6 |
4.4 |
4.2 |
3.9 |
11 |
9.7 |
7.2 |
6.2 |
5.7 |
5.3 |
5.1 |
4.9 |
4.7 |
4.6 |
4.5 |
4.4 |
4.2 |
4.1 |
3.9 |
3.6 |
12 |
9.3 |
6.9 |
5.9 |
5.4 |
5.1 |
4.8 |
4.6 |
4.5 |
4.4 |
4.3 |
4.2 |
4.0 |
3.9 |
3.7 |
3.4 |
13 |
9.1 |
6.7 |
5.7 |
5.2 |
4.9 |
4.6 |
4.4 |
4.3 |
4.2 |
4.1 |
4.0 |
3.8 |
3.7 |
3.5 |
3.2 |
14 |
8.9 |
6.5 |
5.6 |
5.0 |
4.7 |
4.5 |
4.3 |
4.1 |
4.0 |
3.9 |
3.8 |
3.7 |
3.5 |
3.3 |
3.0 |
15 |
8.7 |
6.4 |
5.4 |
4.9 |
4.6 |
4.3 |
4.1 |
4.0 |
3.9 |
3.8 |
3.7 |
3.5 |
3.4 |
3.2 |
2.9 |
16 |
8.5 |
6.2 |
5.3 |
4.8 |
4.4 |
4.2 |
4.0 |
3.9 |
3.8 |
3.7 |
3.5 |
3.4 |
3.3 |
3.1 |
2.7 |
17 |
8.4 |
6.1 |
5.2 |
4.7 |
4.3 |
4.1 |
3.9 |
3.8 |
3.7 |
3.6 |
3.5 |
3.3 |
3.2 |
3.0 |
2.6 |
18 |
8.3 |
6.0 |
5.1 |
4.6 |
4.2 |
4.0 |
3.8 |
3.7 |
3.6 |
3.5 |
3.4 |
3.2 |
3.1 |
2.9 |
2.6 |
19 |
8.2 |
5.9 |
5.0 |
4.5 |
4.2 |
3.9 |
3.8 |
3.6 |
3.5 |
3.4 |
3.3 |
3.1 |
3.0 |
2.8 |
2.5 |
20 |
8.1 |
5.8 |
4.9 |
4.4 |
4.1 |
3.9 |
3.7 |
3.6 |
3.5 |
3.4 |
3.2 |
3.1 |
2.9 |
2.8 |
2.4 |
21 |
8.0 |
5.8 |
4.9 |
4.4 |
4.0 |
3.8 |
3.6 |
3.5 |
3.4 |
3.3 |
3.2 |
3.0 |
2.9 |
2.7 |
2.4 |
22 |
7.9 |
5.7 |
4.8 |
4.3 |
4.0 |
3.8 |
3.6 |
3.4 |
3.3 |
3.3 |
3.1 |
3.0 |
2.8 |
2.7 |
2.3 |
23 |
7.9 |
5.7 |
4.8 |
4.3 |
3.9 |
3.7 |
3.5 |
3.4 |
3.3 |
3.2 |
3.1 |
2.9 |
2.7 |
2.6 |
2.3 |
24 |
7.8 |
5.6 |
4.7 |
4.2 |
3.9 |
3.7 |
3.5 |
3.4 |
3.3 |
3.2 |
3.0 |
2.9 |
2.7 |
2.6 |
2.2 |
26 |
7.7 |
5.5 |
4.6 |
4.1 |
3.8 |
3.6 |
3.4 |
3.3 |
3.2 |
3.1 |
3.0 |
2.8 |
2.7 |
2.5 |
2.1 |
28 |
7.6 |
5.4 |
4.6 |
4.1 |
3.7 |
3.5 |
3.4 |
3.2 |
3.1 |
3.0 |
2.9 |
2.7 |
2.6 |
2.4 |
2.1 |
30 |
7.6 |
5.4 |
4.5 |
4.0 |
3.7 |
3.5 |
3.3 |
3.2 |
3.1 |
3.0 |
2.8 |
2.7 |
2.5 |
2.4 |
2.0 |
40 |
7.3 |
5.2 |
4.3 |
3.8 |
3.5 |
3.3 |
3.1 |
3.0 |
2.9 |
2.8 |
2.7 |
2.5 |
2.4 |
2.2 |
1.8 |
60 |
7.1 |
5.0 |
4.1 |
3.6 |
3.3 |
3.1 |
2.9 |
2.8 |
2.7 |
2.6 |
2.5 |
2.3 |
2.2 |
2.0 |
1.6 |
120 |
6.8 |
4.8 |
3.9 |
3.5 |
3.2 |
3.0 |
2.8 |
2.7 |
2.6 |
2.5 |
2.3 |
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 |
2.2 |
2.5 |
1.9 |
1.7 |
1.0 |
Приложение |
289 |
Таблица 9П
Значения критерия χ²
df |
|
Уровень значимости, α |
|
||||
0.95 |
|
0.75 |
0.25 |
0.05 |
|
0.01 |
|
|
|
|
|||||
1 |
– |
|
0.10 |
1.32 |
3.84 |
|
6.63 |
2 |
0.10 |
|
0.58 |
2.77 |
5.99 |
|
9.21 |
3 |
0.35 |
|
1.21 |
4.11 |
7.81 |
|
11.34 |
4 |
0.71 |
|
1.92 |
5.39 |
9.49 |
|
13.28 |
5 |
1.15 |
|
2.67 |
6.63 |
11.07 |
|
15.09 |
6 |
1.64 |
|
3.45 |
7.84 |
12.59 |
|
16.81 |
7 |
2.17 |
|
4.25 |
9.04 |
14.07 |
|
18.48 |
8 |
2.73 |
|
5.07 |
10.22 |
15.51 |
|
20.09 |
9 |
3.33 |
|
5.90 |
11.39 |
16.92 |
|
21.67 |
10 |
3.94 |
|
6.74 |
12.55 |
18.31 |
|
23.21 |
11 |
4.57 |
|
7.58 |
13.70 |
19.68 |
|
24.72 |
12 |
5.23 |
|
8.44 |
14.85 |
21.03 |
|
26.22 |
13 |
5.89 |
|
9.30 |
15.98 |
22.36 |
|
27.69 |
14 |
6.57 |
|
10.17 |
17.12 |
23.68 |
|
29.14 |
15 |
7.26 |
|
11.04 |
18.25 |
25.00 |
|
30.58 |
16 |
7.96 |
|
11.91 |
19.37 |
26.30 |
|
32.00 |
17 |
8.67 |
|
12.79 |
20.49 |
27.59 |
|
33.41 |
18 |
9.39 |
|
13.68 |
21.60 |
28.87 |
|
34.81 |
19 |
10.12 |
|
14.56 |
22.72 |
30.14 |
|
36.19 |
20 |
10.85 |
|
15.45 |
23.83 |
31.41 |
|
37.57 |
21 |
11.59 |
|
16.34 |
24.93 |
32.67 |
|
38.93 |
22 |
12.34 |
|
17.24 |
26.04 |
33.92 |
|
40.29 |
23 |
13.09 |
|
18.14 |
27.14 |
35.17 |
|
41.64 |
24 |
13.85 |
|
19.04 |
28.24 |
36.42 |
|
42.98 |
25 |
14.61 |
|
19.94 |
29.34 |
37.65 |
|
44.31 |
26 |
15.38 |
|
20.84 |
30.43 |
38.89 |
|
45.64 |
27 |
16.15 |
|
21.75 |
31.63 |
40.11 |
|
46.96 |
28 |
16.93 |
|
22.66 |
32.62 |
41.34 |
|
48.28 |
30 |
18.49 |
|
24.48 |
34.80 |
43.77 |
|
50.89 |
40 |
26.51 |
|
33.66 |
45.62 |
55.76 |
|
63.69 |
50 |
34.76 |
|
42.94 |
56.33 |
67.50 |
|
76.15 |
60 |
43.19 |
|
52.29 |
66.98 |
79.08 |
|
88.38 |
70 |
51.74 |
|
61.70 |
77.58 |
90.53 |
|
100.42 |
80 |
60.39 |
|
71.14 |
88.13 |
101.88 |
|
112.33 |
90 |
69.13 |
|
80.62 |
98.64 |
113.14 |
|
124.12 |
100 |
77.93 |
|
90.13 |
109.14 |
124.34 |
|
135.81 |
290 |
Приложение |
Таблица 10П
Значения ϕ = 2 arcsin 
p
p, % |
0.0 |
0.1 |
0.2 |
0.3 |
0.4 |
0.5 |
0.6 |
0.7 |
0.8 |
0.9 |
|
0.000 |
0.063 |
0.089 |
0.110 |
0.127 |
0.142 |
0.155 |
0.168 |
0.179 |
0.190 |
1 |
0.200 |
0.210 |
0.220 |
0.229 |
0.237 |
0.246 |
0.254 |
0.262 |
0.269 |
0.277 |
2 |
0.284 |
0.291 |
0.298 |
0.304 |
0.311 |
0.318 |
0.324 |
0.330 |
0.336 |
0.342 |
3 |
0.348 |
0.354 |
0.360 |
0.363 |
0.371 |
0.376 |
0.382 |
0.387 |
0.392 |
0.398 |
4 |
0.403 |
0.408 |
0.413 |
0.418 |
0.423 |
0.428 |
0.432 |
0.437 |
0.442 |
0.448 |
5 |
0.451 |
0.456 |
0.460 |
0.465 |
0.469 |
0.473 |
0.478 |
0.482 |
0.486 |
0.491 |
6 |
0.495 |
0.499 |
0.503 |
0.507 |
0.512 |
0.516 |
0.520 |
0.524 |
0.528 |
0.532 |
7 |
0.536 |
0.539 |
0.543 |
0.546 |
0.551 |
0.555 |
0.559 |
0.562 |
0.566 |
0.570 |
8 |
0.574 |
0.577 |
0.581 |
0.584 |
0.588 |
0.592 |
0.595 |
0.599 |
0.602 |
0.606 |
9 |
0.609 |
0.613 |
0.616 |
0.620 |
0.623 |
0.627 |
0.630 |
0.633 |
0.637 |
0.640 |
100.644 0.647 0.650 0.653 0.657 0.660 0.663 0.666 0.670 0.673
110.676 0.679 0.682 0.686 0.689 0.692 0.695 0.698 0.701 0.704
120.707 0.711 0.714 0.717 0.720 0.723 0.726 0.729 0.732 0.735
130.738 0.741 0.744 0.747 0.750 0.752 0.755 0.758 0.761 0.764
140.767 0.770 0.773 0.776 0.778 0.781 0.784 0.787 0.790 0.793
150.795 0.798 0.801 0.804 0.807 0.809 0.812 0.815 0.818 0.820
160.823 0.826 0.828 0.831 0.834 0.837 0.839 0.842 0.845 0.847
170.850 0.853 0.855 0.858 0.861 0.863 0.866 0.868 0.871 0.874
180.876 0.879 0.881 0.884 0.887 0.889 0.892 0.894 0.897 0.900
190.902 0.905 0.907 0.910 0.912 0.915 0.917 0.920 0.922 0.925
200.927 0.930 0.932 0.935 0.937 0.940 0.942 0.945 0.947 0.950
210.952 0.955 0.957 0.959 0.962 0.964 0.967 0.969 0.972 0.974
220.976 0.979 0.981 0.984 0.986 0.988 0.991 0.993 0.996 0.998
231.000 1.003 1.005 1.007 1.010 1.012 1.015 1.017 1.019 1.022
241.024 1.026 1.029 1.031 1.033 1.036 1.038 1.040 1.043 1.045
251.047 1.050 1.052 1.054 1.056 1.059 1.061 1.063 1.066 1.068
261.070 1.072 1.075 1.077 1.079 1.082 1.084 1.086 1.088 1.091
271.093 1.095 1.097 1.100 1.102 1.104 1.106 1.109 1.111 1.113
281.115 1.117 1.120 1.122 1.124 1.126 1.129 1.131 1.133 1.135
291.137 1.140 1.142 1.144 1.146 1.148 1.151 1.153 1.155 1.157
301.159 1.161 1.164 1.166 1.168 1.170 1.172 1.174 1.177 1.179
311.182 1.183 1.185 1.187 1.190 1.192 1.194 1.196 1.198 1.200
321.203 1.205 1.207 1.209 1.211 1.213 1.215 1.217 1.220 1.222
331.224 1.226 1.228 1.230 1.232 1.234 1.237 1.289 1.241 1.243
341.245 1.247 1.249 1.251 1.254 1.256 1.258 1.260 1.262 1.264
351.266 1.268 1.270 1.272 1.274 1.277 1.279 1.281 1.283 1.285
361.287 1.289 1.291 1.293 1.295 1.297 1.299 1.302 1.304 1.306
Приложение |
291 |
Значения ϕ = 2 arcsin 
p
p, % 0.0 |
0.1 |
0.2 |
0.3 |
0.4 |
0.5 |
0.6 |
0.7 |
0.8 |
0.9 |
371.308 1.310 1.312 1.314 1.316 1.318 1.320 1.322 1.324 1.326
381.328 1.330 1.333 1.335 1.337 1.339 1.341 1.343 1.345 1.347
391.349 1.351 1.353 1.355 1.357 1.359 1.361 1.363 1.365 1.367
401.369 1.371 1.374 1.376 1.378 1.380 1.382 1.384 1.346 1.388
411.390 1.392 1.394 1.396 1.398 1.400 1.402 1.404 1.406 1.408
421.410 1.412 1.414 1.416 1.418 1.420 1.422 1.424 1.426 1.428
431.430 1.432 1.434 1.436 1.438 1.440 1.442 1.444 1.446 1.448
441.451 1.453 1.455 1.457 1.459 1.461 1.463 1.465 1.466 1.469
451.471 1.473 1.475 1.477 1.479 1.481 1.483 1.485 1.487 1.489
461.491 1.493 1.495 1.497 1.499 1.501 1.503 1.505 1.507 1.509
471.511 1.513 1.515 1.517 1.519 1.521 1.523 1.525 1.527 1.529
481.531 1.533 1.535 1.537 1.539 1.541 1.543 1.545 1.547 1.549
491.551 1.553 1.555 1.557 1.559 1.561 1.563 1.565 1.567 1.569
501.571 1.573 1.575 1.577 1.579 1.581 1.583 1.585 1.587 1.589
511.591 1.593 1.595 1.597 1.599 1.601 1.603 1.605 1.607 1.609
521.611 1.613 1.615 1.617 1.619 1.621 1.623 1.625 1.627 1.629
531.631 1.633 1.635 1.637 1.639 1.641 1.643 1.645 1.647 1.649
541.651 1.653 1.655 1.657 1.659 1.661 1.663 1.665 1.667 1.669
551.671 1.673 1.675 1.677 1.679 1.681 1.683 1.685 1.687 1.689
561.691 1.693 1.695 1.697 1.699 1.701 1.703 1.705 1.707 1.709
571.711 1.713 1.715 1.717 1.719 1.721 1.723 1.725 1.727 1.729
581.731 1.734 1.736 1.738 1.740 1.742 1.744 1.746 1.748 1.750
594.752 1.754 1.756 1.758 1.760 1.762 1.764 1.766 1.768 1.770
601.772 1.774 1.776 1.778 1.780 1.782 1.784 1.786 1.789 1.791
611.793 1.795 1.797 1.799 1.801 1.803 1.805 1.807 1.809 1.811
621.813 1.815 1.817 1.819 1.821 1.823 1.826 1.828 1.830 1.832
631.834 1.836 1.838 1.840 1.842 1.844 1.846 1.848 1.850 1.853
641.855 1.857 1.859 1.861 1.863 1.865 1.867 1.869 1.871 1.873
651.875 1.878 1.880 1.882 1.884 1.886 1.888 1.890 1.892 1.894
661.897 1.899 1.901 1.903 1.905 1.907 1.909 1.911 1.913 1.916
671.918 1.920 1.922 1.924 1.926 1.928 1.930 1.933 1.935 1.937
681.939 1.941 1.943 1.946 1.948 1.950 1.952 1.954 1.956 1.958
691.961 1.963 1.965 1.967 1.969 1.971 1.974 1.976 1.978 1.980
701.982 1.984 1.987 1.989 1.991 1.993 1.995 1.998 2.000 2.002
712.004 2.006 2.009 2.011 2.013 2.015 2.018 2.020 2.022 2.024
722.026 2.029 2.031 2.033 2.035 2.038 2.040 2.042 2.044 2.047
732.049 2.051 2.053 2.056 2.058 2.060 2.062 2.065 2.067 2.069
742.071 2.074 2.076 2.078 2.081 2.083 2.085 2.087 2.090 2.092
752.094 2.097 2.099 2.101 2.104 2.106 2.108 2.111 2.113 2.115
762.118 2.120 2.122 2.125 2.127 2.129 2.132 2.134 2.136 2.139
292 |
|
Приложение |
||
|
|
|
|
|
|
|
Значения ϕ = 2 arcsin |
|
|
|
|
p |
||
|
|
|
||
|
p, % 0.0 |
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 |
||
772.141 2.144 2.146 2.148 2.151 2.153 2.156 2.158 2.160 2.163
782.165 2.168 2.170 2.172 2.175 2.177 2.180 2.182 2.185 2.187
792.190 2.192 2.194 2.197 2.199 2.202 2.204 2.207 2.209 2.212
802.214 2.217 2.219 2.222 2.224 2.222 2.229 2.231 2.234 2.237
812.240 2.242 2.245 2.247 2.250 2.262 2.255 2.258 2.260 2.263
822.265 2.268 2.271 2.273 2.276 2.278 2.281 2.284 2.286 2.289
832.292 2.294 2.297 2.300 2.302 2.305 2.308 2.310 2.313 2.316
842.319 2.321 2.324 2.327 2.330 2.332 2.335 2.338 2.341 2.343
852.346 2.349 2.352 2.355 2.357 2.360 2.363 2.366 2.369 2.372
862.375 2.377 2.380 2.383 2.386 2.389 2.392 2.395 2.398 2.402
872.404 2.407 2.410 2.413 2.416 2.419 2.422 2.425 2.428 2.431
882.434 2.437 2.440 2.443 2.447 2.450 2.453 2.456 2.459 2.462
892.465 2.469 2.472 2.475 2.478 2.482 2.485 2.488 2.491 2.495
902.498 2.501 2.505 2.508 2.512 2.515 2.518 2.522 2.525 2.529
912.532 2.536 2.539 2.543 2.546 2.550 2.554 2.557 2.561 2.564
922.568 2.572 2.575 2.579 2.583 2.587 2.591 2.594 2.598 2.600
932.606 2.610 2.614 2.618 2.622 2.626 2.630 2.634 2.638 2.642
942.647 2.651 2.655 2.659 2.664 2.668 2.673 2.677 2.638 2.642
952.691 2.695 2.700 2.705 2.709 2.714 2.719 2.724 2.729 2.734
962.739 2.744 2.749 2.754 2.760 2.765 2.771 2.776 2.782 2.788
972.793 2.799 2.805 2.811 2.818 2.824 2.830 2.837 2.844 2.851
982.858 2.865 2.872 2.880 2.888 2.896 2.904 2.913 2.922 2.931
992.941 2.952 2.963 2.974 2.987 3.000 3.015 3.032 3.052 3.078
100 3.142
Таблица 11П
Значения критерия U Уилкоксона – Манна – Уитни
Уровень значимости α = 0.05
n |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
|
|
|
|
|
|
4 |
10 |
11 |
12 |
13 |
14 |
15 |
15 |
5 |
|
17 |
18 |
20 |
21 |
22 |
23 |
6 |
|
|
26 |
27 |
29 |
31 |
32 |
7 |
|
|
|
36 |
38 |
40 |
42 |
8 |
|
|
|
|
49 |
51 |
53 |
9 |
|
|
|
|
|
63 |
65 |
10 |
|
|
|
|
|
|
78 |
|
|
|
|
|
|
|
|
Уровень значимости α = 0.01
n |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
|
|
|
|
|
|
4 |
|
|
10 |
10 |
11 |
11 |
12 |
5 |
|
15 |
16 |
17 |
17 |
18 |
19 |
6 |
|
|
23 |
24 |
25 |
23 |
27 |
7 |
|
|
|
32 |
34 |
35 |
37 |
8 |
|
|
|
|
43 |
45 |
47 |
9 |
|
|
|
|
|
56 |
58 |
10 |
|
|
|
|
|
|
71 |
|
|
|
|
|
|
|
|
Приложение |
293 |
Таблица 12П
Значения критерия Т Уайта при уровне значимости α = 0.05
Большее |
|
|
Меньшее число наблюдений |
|
|
|||||||||
число |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
наблюдений |
||||||||||||||
4 |
|
|
11 |
|
|
|
|
|
|
|
|
|
|
|
5 |
|
6 |
11 |
17 |
|
|
|
|
|
|
|
|
|
|
6 |
|
7 |
12 |
18 |
26 |
|
|
|
|
|
|
|
|
|
7 |
|
7 |
13 |
20 |
27 |
36 |
|
|
|
|
|
|
|
|
8 |
3 |
8 |
14 |
21 |
29 |
38 |
49 |
|
|
|
|
|
|
|
9 |
3 |
8 |
15 |
22 |
31 |
40 |
51 |
63 |
|
|
|
|
|
|
10 |
3 |
9 |
15 |
23 |
32 |
42 |
53 |
65 |
78 |
|
|
|
|
|
11 |
4 |
9 |
16 |
24 |
34 |
44 |
55 |
68 |
81 |
96 |
|
|
|
|
12 |
4 |
10 |
17 |
26 |
35 |
46 |
58 |
71 |
85 |
99 |
115 |
|
|
|
13 |
4 |
10 |
18 |
27 |
37 |
48 |
60 |
73 |
88 |
103 |
119 |
137 |
|
|
14 |
4 |
11 |
19 |
28 |
38 |
50 |
63 |
76 |
91 |
106 |
123 |
141 |
160 |
|
15 |
4 |
11 |
20 |
29 |
40 |
52 |
65 |
79 |
94 |
110 |
127 |
145 |
164 |
185 |
16 |
4 |
12 |
21 |
31 |
42 |
54 |
67 |
82 |
97 |
114 |
131 |
150 |
169 |
|
17 |
5 |
12 |
21 |
32 |
43 |
56 |
70 |
84 |
100 |
117 |
135 |
154 |
|
|
18 |
5 |
13 |
22 |
33 |
45 |
58 |
72 |
87 |
103 |
121 |
139 |
|
|
|
19 |
5 |
13 |
23 |
34 |
56 |
60 |
74 |
90 |
107 |
124 |
|
|
|
|
20 |
5 |
14 |
24 |
35 |
48 |
62 |
77 |
93 |
110 |
|
|
|
|
|
21 |
6 |
14 |
25 |
37 |
50 |
64 |
79 |
95 |
|
|
|
|
|
|
22 |
6 |
15 |
26 |
38 |
51 |
66 |
82 |
|
|
|
|
|
|
|
23 |
6 |
15 |
27 |
39 |
53 |
68 |
|
|
|
|
|
|
|
|
24 |
6 |
16 |
28 |
40 |
55 |
|
|
|
|
|
|
|
|
|
25 |
6 |
16 |
28 |
42 |
|
|
|
|
|
|
|
|
|
|
26 |
7 |
17 |
29 |
|
|
|
|
|
|
|
|
|
|
|
27 |
7 |
17 |
|
|
|
|
|
|
|
|
|
|
|
|
294 |
Приложение |
Таблица 13П
Значения критерия Q Розенбаума
n1
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
n2
Уровень значимости α = 0.05
116
126 6
13 |
6 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
7 |
7 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
15 |
7 |
7 |
6 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
16 |
7 |
7 |
7 |
7 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
17 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
|
|
|
|
|
|
|
|
|
18 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
|
|
|
|
|
|
|
|
19 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
|
|
|
|
|
|
|
20 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
|
|
|
|
|
|
21 |
8 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
|
|
|
|
|
22 |
8 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
|
|
|
|
23 |
8 |
8 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
7 |
|
|
|
24 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
7 |
7 |
7 |
7 |
|
|
25 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
7 |
7 |
7 |
7 |
7 |
|
26 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
8 |
7 |
7 |
7 |
7 |
7 |
7 |
Уровень значимости α = 0.01
119
129 9
13 |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
9 |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
15 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
16 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
17 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
18 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
19 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
|
|
|
20 |
10 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
|
|
21 |
11 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
|
22 |
11 |
11 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
|
23 |
11 |
11 |
10 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
|
24 |
12 |
11 |
11 |
10 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
|
|
25 |
12 |
11 |
11 |
10 |
10 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
|
26 |
12 |
12 |
11 |
11 |
10 |
10 |
10 |
10 |
10 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
Приложение |
295 |
Таблица 14П
|
|
Значения величины z = 0.5 × ln |
1 + r |
|
|
|
||||||
|
|
1 - r |
|
|
||||||||
|
|
|
|
|
|
|
|
|
|
|||
r |
0.00 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
|
0.07 |
0.08 |
0.09 |
|
0.0 |
0.0000 |
0.0100 |
0.0200 |
0.0300 |
0.0400 |
0.0501 |
0.0601 |
0.0701 |
0.0802 |
0.0902 |
||
0.1 |
0.1003 |
0.1105 |
0.1206 |
0.1308 |
0.1409 |
0.1511 |
0.1614 |
0.1717 |
0.1820 |
0.1923 |
||
0.2 |
0.2027 |
0.2132 |
0.2237 |
0.2342 |
0.2448 |
0.2554 |
0.2661 |
0.2769 |
0.2877 |
0.2986 |
||
0.3 |
0.3095 |
0.3206 |
0.3317 |
0.3428 |
0.3541 |
0.3654 |
0.3769 |
0.3884 |
0.4001 |
0.4118 |
||
0.4 |
0.4236 |
0.4356 |
0.4477 |
0.4599 |
0.4722 |
0.4847 |
0.4973 |
0.5101 |
0.5230 |
0.5361 |
||
0.5 |
0.5493 |
0.5627 |
0.5763 |
0.5901 |
0.6042 |
0.6184 |
0.6328 |
0.6475 |
0.6625 |
0.6777 |
||
0.6 |
0.6931 |
0.7089 |
0.7250 |
0.7414 |
0.7582 |
0.7753 |
0.7928 |
0.8107 |
0.8291 |
0.8480 |
||
0.7 |
0.8673 |
0.8872 |
0.9076 |
0.9287 |
0.9505 |
0.9730 |
0.9962 |
1.0203 |
1.0454 |
1.0714 |
||
0.8 |
1.0986 |
1.1270 |
1.1518 |
1.1881 |
1.2212 |
1.2562 |
1.2933 |
1.3331 |
1.3758 |
1.4219 |
||
0.9 |
1.4722 |
1.5275 |
1.5890 |
1.6584 |
1.7380 |
1.8318 |
1.9459 |
2.0923 |
2.2976 |
2.6467 |
||
Таблица 15П
Значения r для z от 0.00 до 2.99
z |
0.00 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
0.07 |
0.08 |
0.09 |
0.0 |
0.000 |
0.010 |
0.020 |
0.030 |
0.040 |
0.050 |
0.060 |
0.070 |
0.080 |
0.090 |
0.1 |
0.100 |
0.110 |
0.119 |
0.129 |
0.139 |
0.149 |
0.159 |
0.168 |
0.178 |
0.188 |
0.2 |
0.197 |
0.207 |
0.217 |
0.226 |
0.236 |
0.245 |
0.254 |
0.264 |
0.273 |
0.282 |
0.3 |
0.291 |
0.300 |
0.310 |
0.319 |
0.328 |
0.336 |
0.345 |
0.354 |
0.363 |
0.371 |
0.4 |
0.380 |
0.389 |
0.397 |
0.405 |
0.414 |
0.422 |
0.430 |
0.438 |
0.446 |
0.454 |
0.5 |
0.462 |
0.470 |
0.478 |
0.485 |
0.493 |
0.501 |
0.508 |
0.515 |
0.523 |
0.530 |
0.6 |
0.537 |
0.544 |
0.551 |
0.558 |
0.565 |
0.572 |
0.578 |
0.585 |
0.592 |
0.598 |
0.7 |
0.604 |
0.611 |
0.617 |
0.623 |
0.629 |
0.635 |
0.641 |
0.647 |
0.653 |
0.658 |
0.8 |
0.664 |
0.670 |
0.675 |
0.681 |
0.686 |
0.691 |
0.696 |
0.701 |
0.706 |
0.711 |
0.9 |
0.716 |
0.721 |
0.726 |
0.731 |
0.735 |
0.740 |
0.744 |
0.749 |
0.753 |
0.757 |
1.0 |
0.762 |
0.766 |
0.770 |
0.774 |
0.778 |
0.782 |
0.786 |
0.790 |
0.793 |
0.797 |
1.1 |
0.801 |
0.804 |
0.808 |
0.811 |
0.814 |
0.818 |
0.821 |
0.824 |
0.828 |
0.831 |
1.2 |
0.834 |
0.837 |
0.840 |
0.843 |
0.846 |
0.848 |
0.851 |
0.854 |
0.857 |
0.859 |
1.3 |
0.862 |
0.864 |
0.867 |
0.869 |
0.872 |
0.874 |
0.876 |
0.879 |
0.881 |
0.883 |
1.4 |
0.885 |
0.888 |
0.890 |
0.892 |
0.894 |
0.896 |
0.898 |
0.900 |
0.902 |
0.903 |
1.5 |
0.905 |
0.907 |
0.909 |
0.910 |
0.912 |
0.914 |
0.915 |
0.917 |
0.919 |
0.920 |
1.6 |
0.922 |
0.923 |
0.925 |
0.926 |
0.928 |
0.929 |
0.930 |
0.932 |
0.933 |
0.934 |
1.7 |
0.935 |
0.937 |
0.938 |
0.939 |
0.940 |
0.941 |
0.943 |
0.944 |
0.945 |
0.946 |
1.8 |
0.947 |
0.948 |
0.949 |
0.950 |
0.951 |
0.952 |
0.953 |
0.954 |
0.955 |
0.955 |
1.9 |
0.956 |
0.957 |
0.958 |
0.959 |
0.960 |
0.960 |
0.961 |
0.962 |
0.963 |
0.963 |