Rozkład t-Studenta
Wartości |
||||
Stopnie swobody |
|
|
|
|
1 |
63,656 |
31,821 |
12,706 |
6,314 |
2 |
9,925 |
6,965 |
4,303 |
2,920 |
3 |
5,841 |
4,541 |
3,182 |
2,353 |
4 |
4,604 |
3,747 |
2,776 |
2,132 |
5 |
4,032 |
3,365 |
2,571 |
2,015 |
6 |
3,707 |
3,143 |
2,447 |
1,943 |
7 |
3,499 |
2,998 |
2,365 |
1,895 |
8 |
3,355 |
2,896 |
2,306 |
1,860 |
9 |
3,250 |
2,821 |
2,262 |
1,833 |
10 |
3,169 |
2,764 |
2,228 |
1,812 |
11 |
3,106 |
2,718 |
2,201 |
1,796 |
12 |
3,055 |
2,681 |
2,179 |
1,782 |
13 |
3,012 |
2,650 |
2,160 |
1,771 |
14 |
2,977 |
2,624 |
2,145 |
1,761 |
15 |
2,947 |
2,602 |
2,131 |
1,753 |
16 |
2,921 |
2,583 |
2,120 |
1,746 |
17 |
2,898 |
2,567 |
2,110 |
1,740 |
18 |
2,878 |
2,552 |
2,101 |
1,734 |
19 |
2,861 |
2,539 |
2,093 |
1,729 |
20 |
2,845 |
2,528 |
2,086 |
1,725 |
21 |
2,831 |
2,518 |
2,080 |
1,721 |
22 |
2,819 |
2,508 |
2,074 |
1,717 |
23 |
2,807 |
2,500 |
2,069 |
1,714 |
24 |
2,797 |
2,492 |
2,064 |
1,711 |
25 |
2,787 |
2,485 |
2,060 |
1,708 |
26 |
2,779 |
2,479 |
2,056 |
1,706 |
27 |
2,771 |
2,473 |
2,052 |
1,703 |
28 |
2,763 |
2,467 |
2,048 |
1,701 |
29 |
2,756 |
2,462 |
2,045 |
1,699 |
30 |
2,750 |
2,457 |
2,042 |
1,697 |
|
2,576 |
2,326 |
1,960 |
1,645 |
Stopnie swobody |
Rozkład
|
|||||||
|
|
|
|
|
|
|
|
|
1 |
7,879 |
6,635 |
5,024 |
3,841 |
0,00004 |
0,00016 |
0,00098 |
0,00393 |
2 |
10,597 |
9,210 |
7,378 |
5,991 |
0,010 |
0,020 |
0,051 |
0,103 |
3 |
12,838 |
11,345 |
9,348 |
7,815 |
0,072 |
0,115 |
0,216 |
0,352 |
4 |
14,860 |
13,277 |
11,143 |
9,488 |
0,207 |
0,297 |
0,484 |
0,711 |
5 |
16,750 |
15,086 |
12,832 |
11,070 |
0,412 |
0,554 |
0,831 |
1,145 |
6 |
18,548 |
16,812 |
14,449 |
12,592 |
0,676 |
0,872 |
1,237 |
1,635 |
7 |
20,278 |
18,475 |
16,013 |
14,067 |
0,989 |
1,239 |
1,690 |
2,167 |
8 |
21,955 |
20,090 |
17,535 |
15,507 |
1,344 |
1,647 |
2,180 |
2,733 |
9 |
23,589 |
21,666 |
19,023 |
16,919 |
1,735 |
2,088 |
2,700 |
3,325 |
10 |
25,188 |
23,209 |
20,483 |
18,307 |
2,156 |
2,558 |
3,247 |
3,940 |
11 |
26,757 |
24,725 |
21,920 |
19,675 |
2,603 |
3,053 |
3,816 |
4,575 |
12 |
28,300 |
26,217 |
23,337 |
21,026 |
3,074 |
3,571 |
4,404 |
5,226 |
13 |
29,819 |
27,688 |
24,736 |
22,362 |
3,565 |
4,107 |
5,009 |
5,892 |
14 |
31,319 |
29,141 |
26,119 |
23,685 |
4,075 |
4,660 |
5,629 |
6,571 |
15 |
32,801 |
30,578 |
27,488 |
24,996 |
4,601 |
5,229 |
6,262 |
7,261 |
16 |
34,267 |
32,000 |
28,845 |
26,296 |
5,142 |
5,812 |
6,908 |
7,962 |
17 |
35,718 |
33,409 |
30,191 |
27,587 |
5,697 |
6,408 |
7,564 |
8,672 |
18 |
37,156 |
34,805 |
31,526 |
28,869 |
6,265 |
7,015 |
8,231 |
9,390 |
19 |
38,582 |
36,191 |
32,852 |
30,144 |
6,844 |
7,633 |
8,907 |
10,117 |
20 |
39,997 |
37,566 |
34,170 |
31,410 |
7,434 |
8,260 |
9,591 |
10,851 |
21 |
41,401 |
38,932 |
35,479 |
32,671 |
8,034 |
8,897 |
10,283 |
11,591 |
22 |
42,796 |
40,289 |
36,781 |
33,924 |
8,643 |
9,542 |
10,982 |
12,338 |
23 |
44,181 |
41,638 |
38,076 |
35,172 |
9,260 |
10,196 |
11,689 |
13,091 |
24 |
45,558 |
42,980 |
39,364 |
36,415 |
9,886 |
10,856 |
12,401 |
13,848 |
25 |
46,928 |
44,314 |
40,646 |
37,652 |
10,520 |
11,524 |
13,120 |
14,611 |
26 |
48,290 |
45,642 |
41,923 |
38,885 |
11,160 |
12,198 |
13,844 |
15,379 |
27 |
49,645 |
46,963 |
43,195 |
40,113 |
11,808 |
12,878 |
14,573 |
16,151 |
28 |
50,994 |
48,278 |
44,461 |
41,337 |
12,461 |
13,565 |
15,308 |
16,928 |
29 |
52,335 |
49,588 |
45,722 |
42,557 |
13,121 |
14,256 |
16,047 |
17,708 |
30 |
53,672 |
50,892 |
46,979 |
43,773 |
13,787 |
14,953 |
16,791 |
18,493 |
Wartości krytyczne
|
||||
n |
|
|
|
|
4 |
- |
- |
- |
0,8000 |
5 |
- |
0,9000 |
0,9000 |
0,8000 |
6 |
0,9429 |
0,8857 |
0,8286 |
0,7714 |
7 |
0,8929 |
0,8571 |
0,7450 |
0,6786 |
8 |
0,8571 |
0,8095 |
0,7143 |
0,6190 |
9 |
0,8167 |
0,7667 |
0,6833 |
0,5833 |
10 |
0,7818 |
0,7333 |
0,6364 |
0,5515 |
11 |
0,7545 |
0,7000 |
0,6091 |
0,5273 |
12 |
0,7273 |
0,6713 |
0,5804 |
0,4965 |
13 |
0,6978 |
0,6429 |
0,5549 |
0,4780 |
14 |
0,6747 |
0,6220 |
0,5341 |
0,4593 |
15 |
0,6536 |
0,6000 |
0,5179 |
0,4429 |
16 |
0,6324 |
0,5824 |
0,5000 |
0,4265 |
17 |
0,6152 |
0,5637 |
0,4853 |
0,4118 |
18 |
0,5975 |
0,5480 |
0,4716 |
0,3994 |
19 |
0,5825 |
0,5333 |
0,4579 |
0,3895 |
20 |
0,5684 |
0,5203 |
0,4451 |
0,3789 |
21 |
0,5545 |
0,5078 |
0,4351 |
0,3688 |
22 |
0,5426 |
0,4963 |
0,4241 |
0,3597 |
23 |
0,5306 |
0,4852 |
0,4150 |
0,3518 |
24 |
0,5200 |
0,4748 |
0,4061 |
0,3435 |
25 |
0,5100 |
0,4654 |
0,3977 |
0,3362 |
26 |
0,5002 |
0,4564 |
0,3894 |
0,3299 |
27 |
0,4915 |
0,4481 |
0,3822 |
0,3236 |
28 |
0,4828 |
0,4401 |
0,3749 |
0,3175 |
29 |
0,4744 |
0,4320 |
0,3685 |
0,3113 |
30 |
0,4665 |
0,4251 |
0,3620 |
0,3059 |
Wartości krytyczne
|
||||
n |
|
|
|
|
4 |
1,000 |
1,000 |
1,000 |
1,000 |
5 |
1,000 |
1,000 |
1,000 |
0,800 |
6 |
1,000 |
0,867 |
0,867 |
0,733 |
7 |
0,905 |
0,810 |
0,714 |
0,619 |
8 |
0,786 |
0,714 |
0,643 |
0,571 |
9 |
0,722 |
0,667 |
0,556 |
0,500 |
10 |
0,644 |
0,600 |
0,511 |
0,467 |
11 |
0,600 |
0,564 |
0,491 |
0,418 |
12 |
0,576 |
0,545 |
0,455 |
0,394 |
13 |
0,564 |
0,513 |
0,436 |
0,359 |
14 |
0,516 |
0,473 |
0,407 |
0,363 |
15 |
0,505 |
0,467 |
0,390 |
0,333 |
16 |
0,483 |
0,433 |
0,383 |
0,317 |
17 |
0,471 |
0,426 |
0,368 |
0,309 |
18 |
0,451 |
0,412 |
0,346 |
0,294 |
19 |
0,439 |
0,392 |
0,333 |
0,287 |
20 |
0,421 |
0,379 |
0,326 |
0,274 |
21 |
0,410 |
0,371 |
0,314 |
0,267 |
22 |
0,394 |
0,359 |
0,307 |
0,264 |
23 |
0,391 |
0,352 |
0,296 |
0,257 |
24 |
0,377 |
0,341 |
0,290 |
0,246 |
25 |
0,367 |
0,333 |
0,287 |
0,240 |
26 |
0,360 |
0,329 |
0,280 |
0,237 |
27 |
0,356 |
0,322 |
0,271 |
0,231 |
28 |
0,344 |
0,312 |
0,265 |
0,228 |
29 |
0,340 |
0,310 |
0,261 |
0,222 |
30 |
0,333 |
0,301 |
0,255 |
0,218 |
Rozkład F (Fishera-Snedecora)
Wartości
(Odczytujemy |
|||||||||||||||
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
4 |
7,709 |
6,944 |
6,591 |
6,388 |
6,256 |
6,163 |
6,094 |
6,041 |
5,999 |
5,964 |
5,936 |
5,912 |
5,891 |
5,873 |
5,858 |
5 |
6,608 |
5,786 |
5,409 |
5,192 |
5,050 |
4,950 |
4,876 |
4,818 |
4,772 |
4,735 |
4,704 |
4,678 |
4,655 |
4,636 |
4,619 |
6 |
5,987 |
5,143 |
4,757 |
4,534 |
4,387 |
4,284 |
4,207 |
4,147 |
4,099 |
4,060 |
4,027 |
4,000 |
3,976 |
3,956 |
3,938 |
7 |
5,591 |
4,737 |
4,347 |
4,120 |
3,972 |
3,866 |
3,787 |
3,726 |
3,677 |
3,637 |
3,603 |
3,575 |
3,550 |
3,529 |
3,511 |
8 |
5,318 |
4,459 |
4,066 |
3,838 |
3,688 |
3,581 |
3,500 |
3,438 |
3,388 |
3,347 |
3,313 |
3,284 |
3,259 |
3,237 |
3,218 |
9 |
5,117 |
4,256 |
3,863 |
3,633 |
3,482 |
3,374 |
3,293 |
3,230 |
3,179 |
3,137 |
3,102 |
3,073 |
3,048 |
3,025 |
3,006 |
10 |
4,965 |
4,103 |
3,708 |
3,478 |
3,326 |
3,217 |
3,135 |
3,072 |
3,020 |
2,978 |
2,943 |
2,913 |
2,887 |
2,865 |
2,845 |
11 |
4,844 |
3,982 |
3,587 |
3,357 |
3,204 |
3,095 |
3,012 |
2,948 |
2,896 |
2,854 |
2,818 |
2,788 |
2,761 |
2,739 |
2,719 |
12 |
4,747 |
3,885 |
3,490 |
3,259 |
3,106 |
2,996 |
2,913 |
2,849 |
2,796 |
2,753 |
2,717 |
2,687 |
2,660 |
2,637 |
2,617 |
13 |
4,667 |
3,806 |
3,411 |
3,179 |
3,025 |
2,915 |
2,832 |
2,767 |
2,714 |
2,671 |
2,635 |
2,604 |
2,577 |
2,554 |
2,533 |
14 |
4,600 |
3,739 |
3,344 |
3,112 |
2,958 |
2,848 |
2,764 |
2,699 |
2,646 |
2,602 |
2,565 |
2,534 |
2,507 |
2,484 |
2,463 |
15 |
4,543 |
3,682 |
3,287 |
3,056 |
2,901 |
2,790 |
2,707 |
2,641 |
2,588 |
2,544 |
2,507 |
2,475 |
2,448 |
2,424 |
2,403 |
16 |
4,494 |
3,634 |
3,239 |
3,007 |
2,852 |
2,741 |
2,657 |
2,591 |
2,538 |
2,494 |
2,456 |
2,425 |
2,397 |
2,373 |
2,352 |
17 |
4,451 |
3,592 |
3,197 |
2,965 |
2,810 |
2,699 |
2,614 |
2,548 |
2,494 |
2,450 |
2,413 |
2,381 |
2,353 |
2,329 |
2,308 |
18 |
4,414 |
3,555 |
3,160 |
2,928 |
2,773 |
2,661 |
2,577 |
2,510 |
2,456 |
2,412 |
2,374 |
2,342 |
2,314 |
2,290 |
2,269 |
19 |
4,381 |
3,522 |
3,127 |
2,895 |
2,740 |
2,628 |
2,544 |
2,477 |
2,423 |
2,378 |
2,340 |
2,308 |
2,280 |
2,256 |
2,234 |
20 |
4,351 |
3,493 |
3,098 |
2,866 |
2,711 |
2,599 |
2,514 |
2,447 |
2,393 |
2,348 |
2,310 |
2,278 |
2,250 |
2,225 |
2,203 |