.
. Определение класса точности средства измерения:
Для аналоговых средств измерений класс точности нормируется пределом допускаемой основной приведённой погрешности:
3.2 Результаты расчёта
Класс точности: А=2,0.
Приложение
Таблица П.1 - Значения нормированной
функции Лапласа
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
0,0 |
0,00000 |
00399 |
00798 |
01197 |
01595 |
01994 |
02392 |
02790 |
03188 |
03586 |
|
0,1 |
03983 |
04380 |
04776 |
05172 |
05567 |
05962 |
06356 |
06749 |
07142 |
07535 |
|
0,2 |
07926 |
08317 |
08706 |
09095 |
09483 |
09871 |
10257 |
10642 |
11026 |
11409 |
|
0,3 |
11791 |
12172 |
12552 |
12930 |
13307 |
13683 |
14058 |
14431 |
14803 |
15173 |
|
0,4 |
15542 |
15910 |
16276 |
16640 |
17003 |
17364 |
17724 |
18082 |
18439 |
18793 |
|
0,5 |
19497 |
19847 |
20194 |
20540 |
20884 |
21226 |
21566 |
21904 |
22240 |
|
|
0,6 |
22575 |
22907 |
23237 |
23565 |
23891 |
24215 |
24537 |
24857 |
25175 |
25490 |
|
0,7 |
25804 |
26115 |
26424 |
26730 |
27035 |
27337 |
27637 |
27935 |
28230 |
28524 |
|
0,8 |
28814 |
29103 |
29389 |
29673 |
29955 |
30234 |
30511 |
30785 |
31057 |
31327 |
|
0,9 |
31594 |
31859 |
32121 |
32381 |
32639 |
32894 |
33147 |
33398 |
33646 |
33891 |
|
1,0 |
34134 |
34375 |
34614 |
34850 |
35083 |
35314 |
35543 |
35769 |
35993 |
36214 |
|
1,1 |
36433 |
36650 |
36864 |
37076 |
37286 |
37493 |
37698 |
37900 |
38100 |
38298 |
|
1,2 |
38493 |
38686 |
38877 |
39065 |
39251 |
39435 |
39617 |
39796 |
39973 |
40147 |
|
1,3 |
40320 |
40490 |
40658 |
40824 |
40988 |
41149 |
41309 |
41466 |
41621 |
41774 |
|
1,4 |
41924 |
42073 |
42220 |
42364 |
42507 |
42647 |
42786 |
42922 |
43056 |
43189 |
|
1,5 |
43319 |
43448 |
43574 |
43699 |
43822 |
43943 |
44062 |
44179 |
44295 |
44408 |
|
1,6 |
44520 |
44630 |
44738 |
44845 |
44950 |
45053 |
45154 |
45254 |
45352 |
45449 |
|
1,7 |
45543 |
45637 |
45728 |
45818 |
45907 |
45994 |
46080 |
46164 |
46246 |
46327 |
|
1,8 |
46407 |
46485 |
46562 |
46638 |
46712 |
46784 |
46856 |
46926 |
46995 |
47062 |
|
1,9 |
47128 |
47193 |
47257 |
47320 |
47381 |
47441 |
47500 |
47558 |
47615 |
47670 |
|
2,0 |
47725 |
47778 |
47831 |
47882 |
47932 |
47982 |
48030 |
48077 |
48124 |
48169 |
|
2,1 |
48214 |
48257 |
48300 |
48341 |
48382 |
48422 |
48461 |
48500 |
48537 |
48574 |
|
2,2 |
48610 |
48645 |
48679 |
48713 |
48745 |
48778 |
48809 |
48840 |
48870 |
48899 |
|
2,3 |
48928 |
48956 |
48983 |
49010 |
49036 |
49061 |
49086 |
49111 |
49134 |
49158 |
|
2,4 |
49180 |
49202 |
49224 |
49245 |
49266 |
49286 |
49305 |
49324 |
49343 |
49361 |
|
2,5 |
49379 |
49396 |
49413 |
49430 |
49446 |
49461 |
49477 |
49492 |
49506 |
49520 |
|
2,6 |
49534 |
49547 |
49560 |
49573 |
49585 |
49598 |
49609 |
49621 |
49632 |
49643 |
|
2,7 |
49653 |
49664 |
49674 |
49683 |
49693 |
49702 |
49711 |
49720 |
49728 |
49736 |
|
2,8 |
49744 |
49752 |
49760 |
49767 |
49774 |
49781 |
49788 |
49795 |
49801 |
49807 |
|
2,9 |
49813 |
49819 |
49825 |
49831 |
49836 |
49841 |
49846 |
49851 |
49856 |
49861 |
Примечание. Значения Ф(t) при t = 3,0 ÷ 4,5 следующие:
|
3,0 |
………... |
0,49865 |
3,4 |
………... |
0,49966 |
3,8 |
………... |
0,49993 |
|
3,1 |
………... |
0,49903 |
3,5 |
………... |
0,49977 |
3,9 |
………... |
0,49995 |
|
3,2 |
………... |
0,49931 |
3,6 |
………... |
0,49984 |
4,0 |
………... |
0,499968 |
|
3,3 |
………... |
0,49952 |
3,7 |
………... |
0,49989 |
4,5 |
………... |
0,499999 |
Таблица П.2 - Значения χ2 - распределения Пирсона c2 = f (q; k)
|
Число степеней свободы k = n - 1 |
Уровень значимости q, % |
|||||||
|
|
99 |
98 |
95 |
90 |
80 |
70 |
50 |
|
|
1 |
0,00016 |
0,00063 |
0,00393 |
0,0158 |
0,0642 |
0,148 |
0,455 |
|
|
2 |
0,0201 |
0,0404 |
0,103 |
0,211 |
0,446 |
0,713 |
1,386 |
|
|
3 |
0,115 |
0,185 |
0,352 |
0,584 |
1,005 |
1,424 |
2,366 |
|
|
4 |
0,297 |
0,429 |
0,711 |
1,064 |
1,649 |
3,357 |
||
|
5 |
0,554 |
0,752 |
1,145 |
1,610 |
2,343 |
3,000 |
4,351 |
|
|
6 |
0,872 |
1,134 |
1,635 |
2,204 |
3,070 |
3,828 |
5,348 |
|
|
7 |
1,239 |
1,564 |
2,167 |
2,833 |
3,822 |
4,671 |
6,346 |
|
|
8 |
1,646 |
2,032 |
2,733 |
3,490 |
4,594 |
5,527 |
7,344 |
|
|
9 |
2,088 |
2,532 |
3,325 |
4,168 |
5,380 |
6,393 |
8,343 |
|
|
10 |
2,558 |
3,059 |
3,940 |
4,865 |
6,179 |
7,267 |
9,342 |
|
|
11 |
3,053 |
3,609 |
4,575 |
5,578 |
6,989 |
8,148 |
10,341 |
|
|
12 |
3,571 |
4,178 |
5,226 |
6,304 |
7,807 |
9,034 |
11,340 |
|
|
13 |
4,107 |
4,765 |
5,892 |
7,042 |
8,634 |
9,926 |
12,340 |
|
|
14 |
4,660 |
5,368 |
6,571 |
7,790 |
9,467 |
10,821 |
13,339 |
|
|
15 |
5,229 |
5,985 |
7,261 |
8,547 |
10,307 |
11,721 |
14,339 |
|
|
16 |
5,812 |
6,614 |
7,962 |
9,312 |
11,152 |
12,624 |
15,338 |
|
|
17 |
6,408 |
7,255 |
8,672 |
10,085 |
12,002 |
13,531 |
16,338 |
|
|
18 |
7,015 |
7,906 |
9,390 |
10,865 |
12,857 |
14,440 |
17,338 |
|
|
19 |
7,633 |
8,567 |
10,117 |
11,651 |
13,716 |
15,352 |
18,338 |
|
|
20 |
8,260 |
9,237 |
10,851 |
12,443 |
14,578 |
16,266 |
19,337 |
|
|
21 |
8,897 |
9,915 |
11,591 |
13,240 |
15,445 |
17,182 |
20,337 |
|
|
22 |
9,542 |
10,600 |
12,338 |
14,041 |
16,314 |
18,101 |
21,337 |
|
|
23 |
10,196 |
11,293 |
13,091 |
14,848 |
17,187 |
19,021 |
22,337 |
|
|
24 |
10,856 |
11,992 |
13,848 |
15,659 |
18,062 |
19,943 |
23,337 |
|
|
25 |
11,524 |
12,697 |
14,611 |
16,473 |
18,940 |
20,867 |
24,337 |
|
|
26 |
12,198 |
13,409 |
15,379 |
17,292 |
19,820 |
21,792 |
25,336 |
|
|
27 |
12,879 |
14,125 |
16,151 |
18,114 |
20,703 |
22,719 |
26,336 |
|
|
28 |
13,565 |
14,847 |
16,928 |
18,939 |
21,588 |
23,647 |
27,336 |
|
|
29 |
14,256 |
15,574 |
17,708 |
19,768 |
22,475 |
24,577 |
28,336 |
|
|
30 |
14,953 |
16,306 |
18,493 |
20,599 |
23,364 |
25,508 |
29,336 |
|
|
Число степеней свободы k = n - 1 |
Уровень значимости q, % |
|||||||
|
|
30 |
20 |
10 |
5 |
2 |
1 |
0,5 |
|
|
1 |
1,074 |
1,642 |
2,706 |
3,841 |
5,412 |
6,635 |
7,879 |
|
|
2 |
2,408 |
3,219 |
4,605 |
5,991 |
7,824 |
9,210 |
10,597 |
|
|
3 |
3,665 |
4,642 |
6,251 |
7,815 |
9,837 |
11,345 |
12,838 |
|
|
4 |
4,878 |
5,989 |
7,779 |
9,488 |
11,668 |
13,277 |
14,860 |
|
|
5 |
6,064 |
7,289 |
9,236 |
11,070 |
13,388 |
15,086 |
16,750 |
|
|
6 |
7,231 |
8,558 |
10,645 |
12,592 |
15,033 |
16,812 |
18,548 |
|
|
7 |
8,383 |
9,803 |
12,017 |
14,067 |
16,622 |
18,475 |
20,278 |
|
|
8 |
9,524 |
11,030 |
13,362 |
15,507 |
18,168 |
20,090 |
21,955 |
|
|
9 |
10,656 |
12,242 |
14,684 |
16,919 |
19,679 |
21,666 |
23,589 |
|
|
10 |
11,781 |
13,442 |
15,987 |
18,307 |
21,161 |
23,209 |
25,188 |
|
|
11 |
12,899 |
14,631 |
17,275 |
19,675 |
22,618 |
24,725 |
26,757 |
|
|
12 |
14,011 |
15,812 |
18,549 |
21,026 |
24,054 |
26,217 |
28,300 |
|
|
13 |
15,119 |
16,985 |
19,812 |
22,362 |
25,472 |
27,688 |
29,819 |
|
|
14 |
16,222 |
18,151 |
21,064 |
23,685 |
26,873 |
29,141 |
31,319 |
|
|
15 |
17,322 |
19,311 |
22,307 |
24,996 |
28,259 |
30,578 |
32,801 |
|
|
16 |
18,418 |
20,465 |
23,542 |
26,296 |
29,633 |
32,000 |
34,267 |
|
|
17 |
19,511 |
21,615 |
24,769 |
30,995 |
33,409 |
35,718 |
||
|
18 |
20,601 |
22,760 |
25,989 |
28,869 |
32,346 |
34,805 |
37,156 |
|
|
19 |
21,689 |
23,900 |
27,204 |
30,144 |
33,687 |
36,191 |
38,582 |
|
|
20 |
22,775 |
25,038 |
28,412 |
31,410 |
35,020 |
37,566 |
39,997 |
|
|
21 |
23,858 |
26,171 |
29,615 |
32,671 |
36,343 |
38,932 |
41,401 |
|
|
22 |
24,939 |
27,301 |
30,813 |
33,924 |
37,659 |
40,289 |
42,796 |
|
|
23 |
26,018 |
28,429 |
32,007 |
35,172 |
38,968 |
41,638 |
44,181 |
|
|
24 |
27,096 |
29,553 |
33,196 |
36,415 |
40,270 |
42,980 |
45,558 |
|
|
25 |
28,172 |
30,675 |
34,382 |
37,652 |
41,566 |
44,314 |
46,928 |
|
|
26 |
29,246 |
31,795 |
35,563 |
38,885 |
42,856 |
45,642 |
48,290 |
|
|
27 |
30,319 |
32,912 |
36,741 |
40,113. |
44,140 |
46,963 |
49,645 |
|
|
28 |
31,391 |
34,027 |
37,916 |
41,337 |
45,419 |
48,278 |
50,993 |
|
|
29 |
32,461 |
35,139 |
39,087 |
42,557 |
46,693 |
49,588 |
52,336 |
|
|
30 |
33,530 |
36,250 |
40,256 |
43,773 |
47,962 |
50,892 |
53,672 |
|
Таблица П.3 - Значения q-процентных
точек распределения
|
Число наблюдений |
Уровень значимости q, % |
||||
|
|
0,1 |
0,5 |
1 |
5 |
10 |
|
3 |
1,414 |
1,414 |
1,414 |
1,414 |
1,412 |
|
4 |
1,732 |
1,730 |
1,728 |
1,710 |
1,689 |
|
5 |
1,994 |
1,982 |
1,972 |
1,917 |
1,869 |
|
6 |
2,212 |
2,183 |
2,161 |
2,067 |
1,996 |
|
7 |
2,395 |
2,344 |
2,310 |
2,182 |
2,093 |
|
8 |
2,547 |
2,476 |
2,431 |
2,273 |
2,172 |
|
9 |
2,677 |
2,586 |
2,532 |
2,349 |
2,238 |
|
10 |
2,788 |
2,680 |
2,616 |
2,414 |
2,294 |
|
11 |
2,884 |
2,760 |
2,689 |
2,470 |
2,343 |
|
12 |
2,969 |
2,830 |
2,753 |
2,519 |
2,387 |
|
13 |
3,044 |
2,892 |
2,809 |
2,563 |
2,426 |
|
14 |
3,111 |
2,947 |
2,859 |
2,602 |
2,461 |
|
15 |
3,171 |
2,997 |
2,905 |
2,638 |
2,494 |
|
16 |
3,225 |
3,042 |
2,946 |
2,670 |
2,523 |
|
17 |
3,274 |
3,083 |
2,983 |
2,701 |
2,551 |
|
18 |
3,320 |
3,120 |
3,017 |
2,728 |
2,577 |
|
19 |
3,361 |
3,155 |
3,049 |
2,754 |
2,601 |
|
20 |
3,400 |
3,187 |
3,079 |
2,779 |
2,623 |
|
21 |
3,436 |
3,217 |
3,106 |
2,801 |
2,644 |
|
22 |
3,469 |
3,245 |
3,132 |
2,823 |
2,664 |
|
23 |
3,500 |
3,271 |
3,156 |
2,843 |
2,683 |
|
24 |
3,529 |
3,295 |
3,179 |
2,862 |
2,701 |
|
25 |
3,556 |
3,318 |
3,200 |
2,880 |
2,718 |
|
26 |
3,582 |
3,340 |
3,220 |
2,897 |
2,734 |
|
27 |
3,606 |
3,360 |
3,239 |
2,913 |
2,749 |
|
28 |
3,629 |
3,380 |
3,258 |
2,929 |
2,764 |
|
29 |
3,651 |
3,399 |
3,275 |
2,944 |
2,778 |
|
30 |
3,672 |
3,416 |
3,291 |
2,958 |
2,792 |
|
31 |
3,692 |
3,433 |
3,307 |
2,972 |
2,805 |
|
32 |
3,711 |
3,449 |
3,322 |
2,985 |
2,818 |
|
33 |
3,729 |
3,465 |
3,337 |
2,998 |
2,830 |
|
34 |
3,746 |
3,480 |
3,351 |
3,010 |
2,842 |
|
35 |
3,762 |
3,494 |
3,364 |
3,022 |
2,853 |
|
36 |
3,778 |
3,507 |
3,377 |
3,033 |
2,864 |
|
37 |
3,793 |
3,521 |
3,389 |
3,044 |
2,874 |
|
38 |
3,808 |
3,533 |
3,401 |
3,055 |
2,885 |
|
39 |
3,822 |
3,545 |
3,413 |
3,065 |
2,894 |
|
40 |
3,835 |
3,557 |
3,424 |
3,075 |
2,904 |
|
41 |
3,848 |
3,568 |
3,435 |
3,084 |
2,913 |
|
42 |
3,579 |
3,445 |
3,094 |
2,922 |
|
|
Число наблюдений |
Уровень значимости q, % |
||||
|
|
0,1 |
0,5 |
1 |
5 |
10 |
|
43 |
3,873 |
3,590 |
3,455 |
3,103 |
2,931 |
|
44 |
3,885 |
3,600 |
3,465 |
3,112 |
2,940 |
|
45 |
3,896 |
3,610 |
3,474 |
3,120 |
2,948 |
|
46 |
3,907 |
3,620 |
3,483 |
3,129 |
2,956 |
|
47 |
3,918 |
3,630 |
3,492 |
3,137 |
2,964 |
|
48 |
3,928 |
3,639 |
3,501 |
3,145 |
2,972 |
|
49 |
3,938 |
3,648 |
3,510 |
3,152 |
2,980 |
|
50 |
3,948 |
3,656 |
3,518 |
3,160 |
2,987 |
|
51 |
3,957 |
3,665 |
3,526 |
3,167 |
2,994 |
|
52 |
3,966 |
3,673 |
3,534 |
3,175 |
3,201 |
Таблица П.4 - Распределение Стьюдента tp = f (q; k)
|
Число степеней свободы k |
Уровень значимости q = (1 - PД)×100, % |
||
|
|
10 |
5 |
1 |
|
1 |
6,31 |
12,71 |
63,66 |
|
2 |
2,92 |
4,30 |
9,92 |
|
3 |
2,35 |
3,18 |
5,84 |
|
4 |
2,13 |
2,78 |
4,60 |
|
5 |
2,02 |
2,57 |
4,03 |
|
6 |
1,94 |
2,45 |
3,71 |
|
7 |
1,90 |
2,36 |
3,50 |
|
8 |
1,86 |
2,31 |
3,36 |
|
9 |
1,83 |
2,26 |
3,25 |
|
10 |
1,81 |
2,23 |
3,17 |
|
12 |
1,78 |
2,18 |
3,06- |
|
14 |
1,76 |
2,14 |
2,98 |
|
16 |
1,75 |
2,12 |
2,92 |
|
18 |
1,73 |
2,10 |
2,88 |
|
20 |
1,72 |
2,09 |
2,84 |
|
22 |
1,72 |
2,07 |
2,82 |
|
24 |
1,71 |
2,06 |
2,80 |
|
26 |
1,71 |
2,06 |
2,78 |
|
28 |
1,70 |
2,05 |
2,76 |
|
30 |
1,70 |
2,04 |
2,75 |
|
¥ |
1,64 |
1,96 |
2,58 |