Приложения
Таблица 1
Критические значения для количества серий
m |
n |
Уровни значимости |
m |
n |
Уровни значимости |
||
0,10 |
0,05 |
0,10 |
0,05 |
||||
2 |
2 |
1 5 |
1 5 |
5 |
5 |
3 9 |
2 10 |
|
3 |
1 6 |
1 6 |
|
6 |
3 10 |
3 10 |
|
4 |
1 6 |
1 6 |
|
7 |
3 10 |
3 11 |
|
5 |
1 6 |
1 6 |
|
8 |
3 11 |
3 11 |
|
6 |
1 6 |
1 6 |
|
9 |
4 11 |
3 12 |
|
7 |
1 6 |
1 6 |
|
10 |
4 11 |
3 12 |
|
8 |
2 6 |
1 6 |
|
11 |
4 12 |
4 12 |
|
9 |
2 6 |
1 6 |
|
12 |
4 12 |
4 12 |
|
10 |
2 6 |
1 6 |
|
13 |
4 12 |
4 12 |
|
12 |
2 6 |
2 6 |
|
14 |
5 12 |
4 12 |
|
20 |
2 6 |
2 6 |
|
18 |
5 12 |
5 12 |
3 |
3 |
1 7 |
1 7 |
|
20 |
5 12 |
5 12 |
|
4 |
1 7 |
1 8 |
6 |
6 |
3 11 |
3 11 |
|
5 |
2 8 |
1 8 |
|
7 |
4 11 |
3 12 |
|
6 |
2 8 |
2 8 |
|
8 |
4 12 |
3 12 |
|
7 |
2 8 |
2 8 |
|
9 |
4 12 |
4 13 |
|
8 |
2 8 |
2 8 |
|
10 |
5 12 |
4 13 |
|
9 |
2 8 |
2 8 |
|
11 |
5 13 |
4 13 |
|
10 |
3 8 |
2 8 |
|
12 |
5 13 |
4 13 |
|
11 |
3 8 |
2 8 |
|
13 |
5 13 |
5 14 |
|
15 |
3 8 |
3 8 |
|
14 |
5 13 |
5 14 |
|
16 |
3 8 |
3 8 |
|
15 |
6 14 |
5 14 |
|
17 |
3 8 |
3 8 |
|
20 |
6 14 |
6 14 |
|
20 |
3 8 |
3 8 |
7 |
7 |
4 12 |
3 13 |
4 |
4 |
2 8 |
1 9 |
|
8 |
4 13 |
4 13 |
|
5 |
2 9 |
2 9 |
|
9 |
5 13 |
4 14 |
|
6 |
3 9 |
2 9 |
|
10 |
5 13 |
5 14 |
|
7 |
3 9 |
2 10 |
|
11 |
5 14 |
5 14 |
|
8 |
3 10 |
3 10 |
|
12 |
6 14 |
5 14 |
|
9 |
3 10 |
3 10 |
|
13 |
6 14 |
5 15 |
|
11 |
3 10 |
3 10 |
|
14 |
6 14 |
5 15 |
|
12 |
4 10 |
3 10 |
|
15 |
6 15 |
5 15 |
|
13 |
4 10 |
3 10 |
|
16 |
6 15 |
6 16 |
Окончание табл. 1
m |
n |
Уровни значимости |
m |
n |
Уровни значимости |
||
0,10 |
0,05 |
0,10 |
0,05 |
||||
|
16 |
4 10 |
4 10 |
|
17 |
7 15 |
6 16 |
|
20 |
4 10 |
4 10 |
|
20 |
7 15 |
6 16 |
8 |
8 |
5 13 |
4 14 |
11 |
18 |
10 20 |
9 20 |
|
9 |
5 14 |
5 14 |
|
19 |
10 20 |
9 21 |
|
10 |
6 14 |
5 15 |
|
20 |
10 20 |
9 21 |
|
11 |
6 15 |
5 15 |
12 |
12 |
8 18 |
7 19 |
|
12 |
6 15 |
6 16 |
|
13 |
9 18 |
8 19 |
|
14 |
7 16 |
6 16 |
|
14 |
9 19 |
8 20 |
|
17 |
7 16 |
7 17 |
|
15 |
9 19 |
8 20 |
|
18 |
8 16 |
7 17 |
|
16 |
10 20 |
9 21 |
|
19 |
8 16 |
7 17 |
|
17 |
10 20 |
9 21 |
|
20 |
8 17 |
7 17 |
|
18 |
10 21 |
9 21 |
9 |
9 |
6 14 |
5 15 |
|
19 |
10 21 |
10 22 |
|
10 |
6 15 |
5 16 |
|
20 |
11 21 |
10 22 |
|
11 |
6 15 |
6 16 |
13 |
13 |
9 19 |
8 20 |
|
12 |
7 16 |
6 16 |
|
14 |
9 20 |
9 20 |
|
13 |
7 16 |
6 17 |
|
15 |
10 20 |
9 21 |
|
14 |
7 17 |
7 17 |
|
16 |
10 21 |
9 21 |
|
15 |
8 17 |
7 18 |
|
17 |
10 21 |
10 22 |
|
17 |
8 17 |
7 18 |
|
18 |
11 21 |
10 22 |
|
18 |
8 18 |
8 18 |
|
19 |
11 22 |
10 23 |
|
19 |
8 18 |
8 18 |
|
20 |
11 22 |
10 23 |
|
20 |
9 18 |
8 18 |
14 |
14 |
10 20 |
9 21 |
10 |
10 |
6 16 |
6 16 |
|
15 |
10 21 |
9 22 |
|
11 |
7 16 |
6 17 |
|
16 |
11 21 |
10 22 |
|
12 |
7 17 |
7 17 |
|
17 |
11 22 |
10 23 |
|
13 |
8 17 |
7 18 |
|
18 |
11 22 |
10 23 |
|
14 |
8 17 |
7 18 |
|
19 |
12 23 |
11 23 |
|
15 |
8 18 |
7 18 |
|
20 |
12 23 |
11 24 |
|
16 |
8 18 |
8 19 |
15 |
15 |
11 21 |
10 22 |
|
17 |
9 18 |
8 19 |
|
16 |
11 22 |
10 23 |
|
18 |
9 19 |
8 19 |
|
17 |
11 22 |
11 23 |
|
19 |
9 19 |
8 20 |
|
18 |
12 23 |
11 24 |
|
20 |
9 19 |
9 20 |
|
19 |
12 23 |
11 24 |
11 |
11 |
7 17 |
7 17 |
|
20 |
12 24 |
12 25 |
|
12 |
8 17 |
7 18 |
16 |
16 |
11 23 |
11 23 |
|
13 |
8 18 |
7 19 |
|
17 |
12 23 |
11 24 |
|
14 |
8 18 |
8 19 |
|
18 |
12 24 |
11 25 |
|
15 |
9 19 |
8 19 |
|
19 |
13 24 |
12 25 |
|
16 |
9 19 |
8 20 |
|
20 |
13 25 |
12 25 |
|
17 |
9 19 |
9 20 |
|
– |
|
|
Таблица 2
Критические значения статистики W-критерия Вилкоксона
m |
n |
Уровни значимости |
m |
n |
Уровни значимости |
||
0,10 |
0,05 |
0,10 |
0,05 |
||||
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
1 |
9 |
1 |
– |
3 |
14 |
16 |
13 |
|
18 |
1 |
– |
|
15 |
16 |
13 |
|
19 |
2 |
1 |
|
16 |
17 |
14 |
|
25 |
2 |
1 |
|
17 |
18 |
15 |
2 |
3 |
3 |
– |
|
18 |
19 |
15 |
|
4 |
3 |
– |
|
19 |
20 |
16 |
|
5 |
4 |
3 |
|
20 |
21 |
17 |
|
6 |
4 |
3 |
|
21 |
21 |
17 |
|
7 |
4 |
3 |
|
22 |
22 |
18 |
|
8 |
5 |
4 |
|
23 |
23 |
19 |
|
9 |
5 |
4 |
|
24 |
24 |
19 |
|
10 |
6 |
4 |
|
25 |
25 |
20 |
|
11 |
6 |
4 |
4 |
4 |
13 |
11 |
|
12 |
7 |
5 |
|
5 |
14 |
12 |
|
13 |
7 |
5 |
|
6 |
15 |
13 |
|
14 |
8 |
6 |
|
7 |
16 |
14 |
|
15 |
8 |
6 |
|
8 |
17 |
15 |
|
16 |
8 |
6 |
|
9 |
19 |
16 |
|
17 |
9 |
6 |
|
10 |
20 |
17 |
|
18 |
9 |
7 |
|
11 |
21 |
18 |
|
19 |
10 |
7 |
|
12 |
22 |
19 |
|
20 |
10 |
7 |
|
13 |
23 |
20 |
|
21 |
11 |
8 |
|
14 |
25 |
21 |
|
22 |
11 |
8 |
|
15 |
26 |
22 |
|
23 |
12 |
8 |
|
16 |
27 |
24 |
|
24 |
12 |
9 |
|
17 |
28 |
25 |
|
25 |
12 |
9 |
|
18 |
30 |
26 |
3 |
3 |
7 |
6 |
|
19 |
31 |
27 |
|
4 |
7 |
6 |
|
20 |
32 |
28 |
|
5 |
8 |
7 |
|
21 |
33 |
29 |
|
6 |
9 |
8 |
|
22 |
35 |
30 |
|
7 |
10 |
8 |
|
23 |
36 |
31 |
|
8 |
11 |
9 |
|
24 |
38 |
32 |
|
9 |
11 |
10 |
|
25 |
38 |
33 |
|
10 |
12 |
10 |
5 |
5 |
20 |
19 |
|
11 |
13 |
11 |
|
6 |
22 |
20 |
|
12 |
14 |
11 |
|
7 |
23 |
21 |
|
13 |
15 |
12 |
|
8 |
25 |
23 |
Продолжение табл. 2
m |
n |
Уровни значим. |
m |
n |
Уровни значим. |
m |
n |
Уровни значим. |
|||
0,10 |
0,05 |
0,10 |
0,05 |
0,10 |
0,05 |
||||||
5 |
9 |
27 |
24 |
7 |
9 |
46 |
43 |
9 |
13 |
83 |
78 |
|
10 |
28 |
26 |
|
10 |
49 |
45 |
|
14 |
86 |
81 |
|
11 |
30 |
27 |
|
11 |
51 |
47 |
|
15 |
90 |
84 |
|
12 |
32 |
28 |
|
12 |
54 |
49 |
|
16 |
93 |
87 |
|
13 |
33 |
30 |
|
13 |
56 |
52 |
|
17 |
97 |
90 |
|
14 |
35 |
31 |
|
14 |
59 |
54 |
|
18 |
100 |
93 |
|
15 |
37 |
33 |
|
15 |
61 |
56 |
|
19 |
103 |
96 |
|
16 |
38 |
34 |
|
16 |
64 |
58 |
|
20 |
107 |
99 |
|
17 |
40 |
35 |
|
17 |
66 |
61 |
|
21 |
110 |
102 |
|
18 |
42 |
37 |
|
18 |
69 |
63 |
|
22 |
113 |
105 |
|
19 |
43 |
38 |
|
19 |
71 |
65 |
|
23 |
117 |
108 |
|
20 |
45 |
40 |
|
20 |
74 |
67 |
|
24 |
120 |
111 |
|
21 |
47 |
41 |
|
21 |
76 |
69 |
|
25 |
123 |
114 |
|
22 |
48 |
43 |
|
22 |
79 |
72 |
10 |
10 |
87 |
82 |
|
23 |
50 |
44 |
|
23 |
81 |
74 |
|
11 |
91 |
86 |
|
24 |
51 |
45 |
|
24 |
84 |
76 |
|
12 |
94 |
89 |
|
25 |
53 |
47 |
|
25 |
86 |
78 |
|
13 |
98 |
92 |
6 |
6 |
30 |
28 |
8 |
8 |
55 |
51 |
|
14 |
102 |
96 |
|
7 |
32 |
29 |
|
9 |
58 |
54 |
|
15 |
106 |
99 |
|
8 |
34 |
31 |
|
10 |
60 |
56 |
|
16 |
109 |
103 |
|
9 |
36 |
33 |
|
11 |
63 |
59 |
|
17 |
113 |
106 |
|
10 |
38 |
35 |
|
12 |
66 |
62 |
|
18 |
117 |
110 |
|
11 |
40 |
37 |
|
13 |
69 |
64 |
|
19 |
121 |
113 |
|
12 |
42 |
38 |
|
14 |
72 |
67 |
|
20 |
125 |
117 |
|
13 |
44 |
40 |
|
14 |
75 |
69 |
|
21 |
128 |
120 |
|
14 |
46 |
42 |
|
16 |
78 |
72 |
|
22 |
132 |
123 |
|
15 |
48 |
44 |
|
17 |
81 |
75 |
|
23 |
136 |
127 |
|
16 |
50 |
46 |
|
18 |
84 |
77 |
|
24 |
140 |
130 |
|
17 |
52 |
47 |
|
19 |
87 |
80 |
|
25 |
144 |
134 |
|
18 |
55 |
49 |
|
20 |
90 |
83 |
11 |
11 |
106 |
100 |
|
19 |
57 |
51 |
|
21 |
92 |
85 |
|
12 |
110 |
104 |
|
20 |
59 |
53 |
|
22 |
95 |
88 |
|
13 |
114 |
108 |
|
21 |
61 |
55 |
|
23 |
98 |
90 |
|
14 |
118 |
112 |
|
22 |
63 |
57 |
|
24 |
101 |
93 |
|
15 |
123 |
116 |
|
23 |
65 |
58 |
|
25 |
104 |
96 |
|
16 |
127 |
120 |
|
24 |
67 |
60 |
9 |
9 |
70 |
66 |
|
17 |
131 |
123 |
|
25 |
69 |
62 |
|
10 |
73 |
69 |
|
18 |
135 |
127 |
7 |
7 |
41 |
39 |
|
11 |
76 |
72 |
|
19 |
139 |
131 |
|
8 |
44 |
41 |
|
12 |
80 |
75 |
|
20 |
144 |
135 |
Окончание табл. 2
m |
n |
Уровни значим. |
m |
n |
Уровни значим. |
m |
n |
Уровни знач. |
|||
0,10 |
0,05 |
0,10 |
0,05 |
0,10 |
0,05 |
||||||
11 |
20 |
144 |
135 |
14 |
18 |
196 |
187 |
17 |
25 |
314 |
300 |
|
21 |
148 |
139 |
|
19 |
202 |
192 |
18 |
18 |
291 |
280 |
|
22 |
152 |
143 |
|
20 |
207 |
197 |
|
19 |
299 |
287 |
|
23 |
156 |
147 |
|
21 |
213 |
202 |
|
20 |
306 |
294 |
|
24 |
161 |
151 |
|
22 |
218 |
207 |
|
21 |
313 |
301 |
|
25 |
165 |
155 |
|
23 |
224 |
212 |
|
22 |
321 |
307 |
12 |
12 |
127 |
120 |
|
24 |
229 |
218 |
|
23 |
328 |
314 |
|
13 |
131 |
125 |
|
25 |
235 |
223 |
|
24 |
335 |
321 |
|
14 |
136 |
129 |
15 |
15 |
200 |
192 |
|
25 |
343 |
328 |
|
15 |
141 |
133 |
|
16 |
206 |
197 |
19 |
19 |
325 |
313 |
|
16 |
145 |
138 |
|
17 |
212 |
203 |
|
20 |
333 |
320 |
|
17 |
150 |
142 |
|
18 |
218 |
208 |
|
21 |
341 |
328 |
|
18 |
155 |
146 |
|
19 |
224 |
214 |
|
22 |
349 |
335 |
|
19 |
159 |
150 |
|
20 |
230 |
220 |
|
23 |
357 |
342 |
|
20 |
164 |
155 |
|
21 |
236 |
225 |
|
24 |
364 |
350 |
|
21 |
169 |
159 |
|
22 |
242 |
231 |
|
25 |
372 |
357 |
|
22 |
173 |
163 |
|
23 |
248 |
236 |
20 |
20 |
361 |
348 |
|
23 |
178 |
168 |
|
24 |
254 |
242 |
|
21 |
370 |
356 |
|
24 |
183 |
172 |
|
25 |
260 |
248 |
|
22 |
378 |
364 |
|
25 |
187 |
176 |
16 |
16 |
229 |
219 |
|
23 |
386 |
371 |
13 |
13 |
149 |
142 |
|
17 |
235 |
225 |
|
24 |
394 |
379 |
|
14 |
154 |
147 |
|
18 |
242 |
231 |
|
25 |
403 |
387 |
|
15 |
159 |
152 |
|
19 |
248 |
237 |
21 |
21 |
399 |
385 |
|
16 |
165 |
156 |
|
20 |
255 |
243 |
|
22 |
408 |
393 |
|
17 |
170 |
161 |
|
21 |
261 |
249 |
|
23 |
417 |
401 |
|
18 |
175 |
166 |
|
22 |
267 |
255 |
|
24 |
425 |
410 |
|
19 |
180 |
171 |
|
23 |
274 |
261 |
|
25 |
434 |
418 |
|
20 |
185 |
175 |
|
24 |
280 |
267 |
22 |
22 |
439 |
424 |
|
21 |
190 |
180 |
|
25 |
287 |
273 |
|
23 |
448 |
432 |
|
22 |
195 |
185 |
17 |
17 |
259 |
249 |
|
24 |
457 |
441 |
|
23 |
200 |
189 |
|
18 |
266 |
255 |
|
25 |
467 |
450 |
|
24 |
205 |
194 |
|
19 |
273 |
262 |
23 |
23 |
481 |
465 |
|
25 |
211 |
199 |
|
20 |
280 |
268 |
|
24 |
491 |
474 |
14 |
14 |
174 |
166 |
|
21 |
287 |
274 |
|
25 |
500 |
483 |
|
15 |
179 |
171 |
|
22 |
294 |
281 |
24 |
24 |
525 |
507 |
|
16 |
185 |
176 |
|
23 |
300 |
287 |
|
25 |
535 |
517 |
|
17 |
190 |
182 |
|
24 |
307 |
294 |
25 |
25 |
570 |
552 |
Приложение 3
Значение t – критерия Стьюдента при уровне значимости 0,10; 0,05; 0,01 (двусторонний)
Число степеней свободы df |
|
Число степеней свободы df |
|
||||
0,10 |
0,05 |
0,01 |
0,10 |
0,05 |
0,01 |
||
1 |
6,3138 |
12,706 |
63,657 |
18 |
1,7341 |
2,1009 |
2,8784 |
2 |
2,9200 |
4,3027 |
9,9248 |
19 |
1,7291 |
2,0930 |
2,8609 |
3 |
2,3534 |
3,1825 |
5,8409 |
20 |
1,7247 |
2,0860 |
2,8453 |
4 |
2,1318 |
2,7764 |
4,6041 |
21 |
1,7207 |
2,0796 |
2,8314 |
5 |
2,0150 |
2,5706 |
4,0321 |
22 |
1,7171 |
2,0739 |
2,8188 |
6 |
1,9432 |
2,4469 |
3,7074 |
23 |
1,7139 |
2,0687 |
2,8073 |
7 |
1,8946 |
2,3646 |
3,4995 |
24 |
1,7109 |
2,0639 |
2,7969 |
8 |
1,8595 |
2,3060 |
3,3554 |
25 |
1,7081 |
2,0595 |
2,7874 |
9 |
1,8331 |
2,2622 |
3,2498 |
26 |
1,7056 |
2,0555 |
2,7787 |
10 |
1,8125 |
2,2281 |
3,1693 |
27 |
1,7033 |
2,0518 |
2,7707 |
11 |
1,7959 |
2,2010 |
3,1058 |
28 |
1,7011 |
2,0484 |
2,7633 |
12 |
1,7823 |
2,1788 |
3,0545 |
29 |
1,6991 |
2,0452 |
2,7564 |
13 |
1,7709 |
2,1604 |
3,0123 |
30 |
1,6973 |
2,0423 |
2,7500 |
14 |
1,7613 |
2,1448 |
2,9768 |
40 |
1,6839 |
2,0211 |
2,7045 |
15 |
1,7530 |
2,1315 |
2,9467 |
60 |
1,6707 |
2,0003 |
2,6603 |
16 |
1,7459 |
2,1199 |
2,9208 |
120 |
1,6577 |
1,9799 |
2,6174 |
17 |
1,7396 |
2,1098 |
2,8982 |
|
1,6449 |
1,9600 |
2,5758 |
Приложение 4
Статистические таблицы критических уровней
при уровне значимости 0,05
Количество наблюдений |
Первый коэффициент автокорреляции, r(1) |
Модель |
Граница RS- критерия |
||||
Однопараметрическая (m=1) |
Двухпараметрическая (m=2) |
нижняя |
верхняя |
||||
d1 |
d2 |
d1 |
d2 |
||||
10 15 20 25 30 |
0,360 0,328 0,300 0,276 0,257 |
- 1,08 1,20 1,28 1,35 |
- 1,36 1,41 1,45 1,49 |
- 0,95 1,10 1,20 1,28 |
- 1,54 1,54 1,55 1,57 |
2,67 2,96 3,18 3,34 3,47 |
3,69 4,14 4,49 4,71 4,89 |
1 Конкордация - согласованность или процедура согласования точек зрения