0,00 |
0,01 |
0,02 |
0,03 |
0,04 |
0,05 |
0,06 |
0,07 |
0,08 |
0,09 |
|
0,0 |
50000 |
50399 |
50798 |
51197 |
51595 |
51994 |
52392 |
52790 |
53188 |
53586 |
0,1 |
53983 |
54380 |
54776 |
55172 |
55567 |
55962 |
56356 |
56749 |
57142 |
57535 |
0,2 |
57926 |
58317 |
58706 |
59095 |
59483 |
59871 |
60257 |
60642 |
61026 |
61409 |
0,3 |
61791 |
62172 |
62552 |
62930 |
63307 |
63683 |
64058 |
64431 |
64803 |
65173 |
0,4 |
65542 |
65910 |
66276 |
66640 |
67003 |
67364 |
67724 |
68082 |
68439 |
68793 |
0,5 |
69146 |
69497 |
69847 |
70194 |
70540 |
70884 |
71226 |
71566 |
71904 |
72240 |
0,6 |
72575 |
72907 |
73237 |
73565 |
73891 |
74215 |
74537 |
74857 |
75175 |
75490 |
0,7 |
75804 |
76115 |
76424 |
76730 |
77035 |
77337 |
77637 |
77935 |
78230 |
78524 |
0,8 |
78814 |
79103 |
79389 |
79673 |
79955 |
80234 |
80511 |
80785 |
81057 |
81327 |
0,9 |
81594 |
81859 |
82121 |
82381 |
82639 |
82894 |
83147 |
83398 |
83646 |
83891 |
1,0 |
84134 |
84375 |
84614 |
84849 |
85083 |
85314 |
85543 |
85769 |
85993 |
86214 |
1,1 |
86433 |
86650 |
86864 |
87076 |
87286 |
87493 |
87698 |
87900 |
88100 |
88298 |
1,2 |
88493 |
88686 |
88877 |
89065 |
89251 |
89435 |
89617 |
89796 |
89973 |
90147 |
1,3 |
90320 |
90490 |
90658 |
90824 |
90988 |
91149 |
91308 |
91466 |
91621 |
91774 |
1,4 |
91924 |
92073 |
92220 |
92364 |
92507 |
92647 |
92785 |
92922 |
93056 |
93189 |
1,5 |
93319 |
93448 |
93574 |
93699 |
93822 |
93943 |
94062 |
94179 |
94295 |
94408 |
1,6 |
94520 |
94630 |
94738 |
94845 |
94950 |
95053 |
95154 |
95254 |
95352 |
95449 |
1,7 |
95543 |
95637 |
95728 |
95818 |
95907 |
95994 |
96080 |
96164 |
96246 |
96327 |
1,8 |
96407 |
96485 |
96562 |
96638 |
96712 |
96784 |
96856 |
96926 |
96995 |
97062 |
1,9 |
97128 |
97193 |
97257 |
97320 |
97381 |
97441 |
97500 |
97558 |
97615 |
97670 |
2,0 |
97725 |
97778 |
97831 |
97882 |
97932 |
97982 |
98030 |
98077 |
98124 |
98169 |
2,1 |
98214 |
98257 |
98300 |
98341 |
98382 |
98422 |
98461 |
98500 |
98537 |
98574 |
2,2 |
98610 |
98645 |
98679 |
98713 |
98745 |
98778 |
98809 |
98840 |
98870 |
98899 |
2,3 |
98928 |
98956 |
98983 |
99010 |
99036 |
99061 |
99086 |
99111 |
99134 |
99158 |
2,4 |
99180 |
99202 |
99224 |
99245 |
99266 |
99286 |
99305 |
99324 |
99343 |
99361 |
2,5 |
99379 |
99396 |
99413 |
99430 |
99446 |
99461 |
99477 |
99492 |
99506 |
99520 |
2,6 |
99534 |
99547 |
99560 |
99573 |
99585 |
99598 |
99609 |
99621 |
99632 |
99643 |
2,7 |
99653 |
99664 |
99674 |
99683 |
99693 |
99702 |
99711 |
99720 |
99728 |
99736 |
2,8 |
99744 |
99752 |
99760 |
99767 |
99774 |
99781 |
99788 |
99795 |
99801 |
99807 |
2,9 |
99813 |
99819 |
99825 |
99831 |
99836 |
99841 |
99846 |
99851 |
99856 |
99861 |
3,0 |
99865 |
99869 |
99874 |
99878 |
99882 |
99886 |
99889 |
99893 |
99896 |
99900 |
3,1 |
99903 |
99906 |
99910 |
99913 |
99916 |
99918 |
99921 |
99924 |
99926 |
99929 |
3,2 |
99931 |
99934 |
99936 |
99938 |
99940 |
99942 |
99944 |
99946 |
99948 |
99950 |
3,3 |
99952 |
99953 |
99955 |
99957 |
99958 |
99960 |
99961 |
99962 |
99964 |
99965 |
3,4 |
99966 |
99968 |
99969 |
99970 |
99971 |
99972 |
99973 |
99974 |
99975 |
99976 |
3,5 |
99977 |
99978 |
99978 |
99979 |
99980 |
99981 |
99981 |
99982 |
99983 |
99983 |
3,6 |
99984 |
99985 |
99985 |
99986 |
99986 |
99987 |
99987 |
99988 |
99988 |
99989 |
3,7 |
99989 |
99990 |
99990 |
99990 |
99991 |
99991 |
99992 |
99992 |
99992 |
99992 |
3,8 |
99993 |
99993 |
99993 |
99994 |
99994 |
99994 |
99994 |
99995 |
99995 |
99995 |
3,9 |
99995 |
99995 |
99996 |
99996 |
99996 |
99996 |
99996 |
99996 |
99997 |
99997 |
4,0 |
99997 |
99997 |
99997 |
99997 |
99997 |
99997 |
99998 |
99998 |
99998 |
99998 |
dystrybuanta rozkładu Z~N(0,1)
Wartości krytyczne rozkładu t-Studenta : P(-t,v<t< t,v)=
v\ |
0,4 |
0,3 |
0,2 |
0,1 |
0,05 |
0,025 |
0,02 |
0,01 |
0,005 |
0,0025 |
0,001 |
1 |
1,3764 |
1,9626 |
3,0777 |
6,3137 |
12,7062 |
25,4519 |
31,8210 |
63,6559 |
127,321 |
254,661 |
636,578 |
2 |
1,0607 |
1,3862 |
1,8856 |
2,9200 |
4,3027 |
6,2054 |
6,9645 |
9,9250 |
14,0892 |
19,9629 |
31,5998 |
3 |
0,9785 |
1,2498 |
1,6377 |
2,3534 |
3,1824 |
4,1765 |
4,5407 |
5,8408 |
7,4532 |
9,4646 |
12,9244 |
4 |
0,9410 |
1,1896 |
1,5332 |
2,1318 |
2,7765 |
3,4954 |
3,7469 |
4,6041 |
5,5975 |
6,7582 |
8,6101 |
5 |
0,9195 |
1,1558 |
1,4759 |
2,0150 |
2,5706 |
3,1634 |
3,3649 |
4,0321 |
4,7733 |
5,6042 |
6,8685 |
6 |
0,9057 |
1,1342 |
1,4398 |
1,9432 |
2,4469 |
2,9687 |
3,1427 |
3,7074 |
4,3168 |
4,9807 |
5,9587 |
7 |
0,8960 |
1,1192 |
1,4149 |
1,8946 |
2,3646 |
2,8412 |
2,9979 |
3,4995 |
4,0294 |
4,5946 |
5,4081 |
8 |
0,8889 |
1,1081 |
1,3968 |
1,8595 |
2,3060 |
2,7515 |
2,8965 |
3,3554 |
3,8325 |
4,3336 |
5,0414 |
9 |
0,8834 |
1,0997 |
1,3830 |
1,8331 |
2,2622 |
2,6850 |
2,8214 |
3,2498 |
3,6896 |
4,1458 |
4,7809 |
10 |
0,8791 |
1,0931 |
1,3722 |
1,8125 |
2,2281 |
2,6338 |
2,7638 |
3,1693 |
3,5814 |
4,0045 |
4,5868 |
11 |
0,8755 |
1,0877 |
1,3634 |
1,7959 |
2,2010 |
2,5931 |
2,7181 |
3,1058 |
3,4966 |
3,8945 |
4,4369 |
12 |
0,8726 |
1,0832 |
1,3562 |
1,7823 |
2,1788 |
2,5600 |
2,6810 |
3,0545 |
3,4284 |
3,8065 |
4,3178 |
13 |
0,8702 |
1,0795 |
1,3502 |
1,7709 |
2,1604 |
2,5326 |
2,6503 |
3,0123 |
3,3725 |
3,7345 |
4,2209 |
14 |
0,8681 |
1,0763 |
1,3450 |
1,7613 |
2,1448 |
2,5096 |
2,6245 |
2,9768 |
3,3257 |
3,6746 |
4,1403 |
15 |
0,8662 |
1,0735 |
1,3406 |
1,7531 |
2,1315 |
2,4899 |
2,6025 |
2,9467 |
3,2860 |
3,6239 |
4,0728 |
16 |
0,8647 |
1,0711 |
1,3368 |
1,7459 |
2,1199 |
2,4729 |
2,5835 |
2,9208 |
3,2520 |
3,5805 |
4,0149 |
17 |
0,8633 |
1,0690 |
1,3334 |
1,7396 |
2,1098 |
2,4581 |
2,5669 |
2,8982 |
3,2224 |
3,5430 |
3,9651 |
18 |
0,8620 |
1,0672 |
1,3304 |
1,7341 |
2,1009 |
2,4450 |
2,5524 |
2,8784 |
3,1966 |
3,5101 |
3,9217 |
19 |
0,8610 |
1,0655 |
1,3277 |
1,7291 |
2,0930 |
2,4334 |
2,5395 |
2,8609 |
3,1737 |
3,4811 |
3,8833 |
20 |
0,8600 |
1,0640 |
1,3253 |
1,7247 |
2,0860 |
2,4231 |
2,5280 |
2,8453 |
3,1534 |
3,4554 |
3,8496 |
21 |
0,8591 |
1,0627 |
1,3232 |
1,7207 |
2,0796 |
2,4138 |
2,5176 |
2,8314 |
3,1352 |
3,4324 |
3,8193 |
22 |
0,8583 |
1,0614 |
1,3212 |
1,7171 |
2,0739 |
2,4055 |
2,5083 |
2,8188 |
3,1188 |
3,4118 |
3,7922 |
23 |
0,8575 |
1,0603 |
1,3195 |
1,7139 |
2,0687 |
2,3979 |
2,4999 |
2,8073 |
3,1040 |
3,3931 |
3,7676 |
24 |
0,8569 |
1,0593 |
1,3178 |
1,7109 |
2,0639 |
2,3910 |
2,4922 |
2,7970 |
3,0905 |
3,3761 |
3,7454 |
25 |
0,8562 |
1,0584 |
1,3163 |
1,7081 |
2,0595 |
2,3846 |
2,4851 |
2,7874 |
3,0782 |
3,3606 |
3,7251 |
26 |
0,8557 |
1,0575 |
1,3150 |
1,7056 |
2,0555 |
2,3788 |
2,4786 |
2,7787 |
3,0669 |
3,3464 |
3,7067 |
27 |
0,8551 |
1,0567 |
1,3137 |
1,7033 |
2,0518 |
2,3734 |
2,4727 |
2,7707 |
3,0565 |
3,3334 |
3,6895 |
28 |
0,8546 |
1,0560 |
1,3125 |
1,7011 |
2,0484 |
2,3685 |
2,4671 |
2,7633 |
3,0470 |
3,3213 |
3,6739 |
29 |
0,8542 |
1,0553 |
1,3114 |
1,6991 |
2,0452 |
2,3638 |
2,4620 |
2,7564 |
3,0380 |
3,3103 |
3,6595 |
30 |
0,8538 |
1,0547 |
1,3104 |
1,6973 |
2,0423 |
2,3596 |
2,4573 |
2,7500 |
3,0298 |
3,2999 |
3,6460 |
35 |
0,8520 |
1,0520 |
1,3062 |
1,6896 |
2,0301 |
2,3420 |
2,4377 |
2,7238 |
2,9961 |
3,2577 |
3,5911 |
40 |
0,8507 |
1,0500 |
1,3031 |
1,6839 |
2,0211 |
2,3289 |
2,4233 |
2,7045 |
2,9712 |
3,2266 |
3,5510 |
45 |
0,8497 |
1,0485 |
1,3007 |
1,6794 |
2,0141 |
2,3189 |
2,4121 |
2,6896 |
2,9521 |
3,2029 |
3,5203 |
50 |
0,8489 |
1,0473 |
1,2987 |
1,6759 |
2,0086 |
2,3109 |
2,4033 |
2,6778 |
2,9370 |
3,1840 |
3,4960 |
55 |
0,8482 |
1,0463 |
1,2971 |
1,6730 |
2,0040 |
2,3044 |
2,3961 |
2,6682 |
2,9247 |
3,1688 |
3,4765 |
60 |
0,8477 |
1,0455 |
1,2958 |
1,6706 |
2,0003 |
2,2990 |
2,3901 |
2,6603 |
2,9146 |
3,1562 |
3,4602 |
70 |
0,8468 |
1,0442 |
1,2938 |
1,6669 |
1,9944 |
2,2906 |
2,3808 |
2,6479 |
2,8987 |
3,1366 |
3,4350 |
80 |
0,8461 |
1,0432 |
1,2922 |
1,6641 |
1,9901 |
2,2844 |
2,3739 |
2,6387 |
2,8870 |
3,1220 |
3,4164 |
90 |
0,8456 |
1,0424 |
1,2910 |
1,6620 |
1,9867 |
2,2795 |
2,3685 |
2,6316 |
2,8779 |
3,1108 |
3,4019 |
100 |
0,8452 |
1,0418 |
1,2901 |
1,6602 |
1,9840 |
2,2757 |
2,3642 |
2,6259 |
2,8707 |
3,1018 |
3,3905 |
150 |
0,8440 |
1,0400 |
1,2872 |
1,6551 |
1,9759 |
2,2641 |
2,3515 |
2,6090 |
2,8492 |
3,0753 |
3,3565 |
200 |
0,8434 |
1,0391 |
1,2858 |
1,6525 |
1,9719 |
2,2584 |
2,3451 |
2,6006 |
2,8385 |
3,0621 |
3,3398 |
500 |
0,8423 |
1,0375 |
1,2832 |
1,6479 |
1,9647 |
2,2482 |
2,3338 |
2,5857 |
2,8195 |
3,0387 |
3,3101 |
1000000 |
0,8416 |
1,0364 |
1,2816 |
1,6449 |
1,9600 |
2,2414 |
2,3264 |
2,5758 |
2,8070 |
3,0234 |
3,2905 |
|
0,05 |
|
|
F,v1,v2 |
Wartości krytyczne rozkładu Fishera-Snedecora |
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||||||||||||
v2\v1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
12 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
50 |
60 |
70 |
80 |
90 |
100 |
150 |
200 |
500 |
1000 |
|||||||||||||||||||||||||||
1 |
161,45 |
199,50 |
215,71 |
224,58 |
230,16 |
233,99 |
236,77 |
238,88 |
240,54 |
241,88 |
243,90 |
245,95 |
248,02 |
249,26 |
250,10 |
250,69 |
251,14 |
251,49 |
251,77 |
252,20 |
252,50 |
252,72 |
252,90 |
253,04 |
253,47 |
253,68 |
254,06 |
254,19 |
|||||||||||||||||||||||||||
2 |
18,513 |
19,000 |
19,164 |
19,247 |
19,296 |
19,329 |
19,353 |
19,371 |
19,385 |
19,396 |
19,412 |
19,429 |
19,446 |
19,456 |
19,463 |
19,467 |
19,471 |
19,473 |
19,476 |
19,479 |
19,481 |
19,483 |
19,485 |
19,486 |
19,489 |
19,491 |
19,494 |
19,495 |
|||||||||||||||||||||||||||
3 |
10,128 |
9,552 |
9,277 |
9,117 |
9,013 |
8,941 |
8,887 |
8,845 |
8,812 |
8,785 |
8,745 |
8,703 |
8,660 |
8,634 |
8,617 |
8,604 |
8,594 |
8,587 |
8,581 |
8,572 |
8,566 |
8,561 |
8,557 |
8,554 |
8,545 |
8,540 |
8,532 |
8,529 |
|||||||||||||||||||||||||||
4 |
7,709 |
6,944 |
6,591 |
6,388 |
6,256 |
6,163 |
6,094 |
6,041 |
5,999 |
5,964 |
5,912 |
5,858 |
5,803 |
5,769 |
5,746 |
5,729 |
5,717 |
5,707 |
5,699 |
5,688 |
5,679 |
5,673 |
5,668 |
5,664 |
5,652 |
5,646 |
5,635 |
5,632 |
|||||||||||||||||||||||||||
5 |
6,608 |
5,786 |
5,409 |
5,192 |
5,050 |
4,950 |
4,876 |
4,818 |
4,772 |
4,735 |
4,678 |
4,619 |
4,558 |
4,521 |
4,496 |
4,478 |
4,464 |
4,453 |
4,444 |
4,431 |
4,422 |
4,415 |
4,409 |
4,405 |
4,392 |
4,385 |
4,373 |
4,369 |
|||||||||||||||||||||||||||
6 |
5,987 |
5,143 |
4,757 |
4,534 |
4,387 |
4,284 |
4,207 |
4,147 |
4,099 |
4,060 |
4,000 |
3,938 |
3,874 |
3,835 |
3,808 |
3,789 |
3,774 |
3,763 |
3,754 |
3,740 |
3,730 |
3,722 |
3,716 |
3,712 |
3,698 |
3,690 |
3,678 |
3,673 |
|||||||||||||||||||||||||||
7 |
5,591 |
4,737 |
4,347 |
4,120 |
3,972 |
3,866 |
3,787 |
3,726 |
3,677 |
3,637 |
3,575 |
3,511 |
3,445 |
3,404 |
3,376 |
3,356 |
3,340 |
3,328 |
3,319 |
3,304 |
3,294 |
3,286 |
3,280 |
3,275 |
3,260 |
3,252 |
3,239 |
3,234 |
|||||||||||||||||||||||||||
8 |
5,318 |
4,459 |
4,066 |
3,838 |
3,688 |
3,581 |
3,500 |
3,438 |
3,388 |
3,347 |
3,284 |
3,218 |
3,150 |
3,108 |
3,079 |
3,059 |
3,043 |
3,030 |
3,020 |
3,005 |
2,994 |
2,986 |
2,980 |
2,975 |
2,959 |
2,951 |
2,937 |
2,932 |
|||||||||||||||||||||||||||
9 |
5,117 |
4,256 |
3,863 |
3,633 |
3,482 |
3,374 |
3,293 |
3,230 |
3,179 |
3,137 |
3,073 |
3,006 |
2,936 |
2,893 |
2,864 |
2,842 |
2,826 |
2,813 |
2,803 |
2,787 |
2,776 |
2,768 |
2,761 |
2,756 |
2,739 |
2,731 |
2,717 |
2,712 |
|||||||||||||||||||||||||||
10 |
4,965 |
4,103 |
3,708 |
3,478 |
3,326 |
3,217 |
3,135 |
3,072 |
3,020 |
2,978 |
2,913 |
2,845 |
2,774 |
2,730 |
2,700 |
2,678 |
2,661 |
2,648 |
2,637 |
2,621 |
2,609 |
2,601 |
2,594 |
2,588 |
2,572 |
2,563 |
2,548 |
2,543 |
|||||||||||||||||||||||||||
12 |
4,747 |
3,885 |
3,490 |
3,259 |
3,106 |
2,996 |
2,913 |
2,849 |
2,796 |
2,753 |
2,687 |
2,617 |
2,544 |
2,498 |
2,466 |
2,443 |
2,426 |
2,412 |
2,401 |
2,384 |
2,372 |
2,363 |
2,356 |
2,350 |
2,332 |
2,323 |
2,307 |
2,302 |
|||||||||||||||||||||||||||
15 |
4,543 |
3,682 |
3,287 |
3,056 |
2,901 |
2,790 |
2,707 |
2,641 |
2,588 |
2,544 |
2,475 |
2,403 |
2,328 |
2,280 |
2,247 |
2,223 |
2,204 |
2,190 |
2,178 |
2,160 |
2,147 |
2,137 |
2,130 |
2,123 |
2,105 |
2,095 |
2,078 |
2,072 |
|||||||||||||||||||||||||||
20 |
4,351 |
3,493 |
3,098 |
2,866 |
2,711 |
2,599 |
2,514 |
2,447 |
2,393 |
2,348 |
2,278 |
2,203 |
2,124 |
2,074 |
2,039 |
2,013 |
1,994 |
1,978 |
1,966 |
1,946 |
1,932 |
1,922 |
1,913 |
1,907 |
1,886 |
1,875 |
1,856 |
1,850 |
|||||||||||||||||||||||||||
25 |
4,242 |
3,385 |
2,991 |
2,759 |
2,603 |
2,490 |
2,405 |
2,337 |
2,282 |
2,236 |
2,165 |
2,089 |
2,007 |
1,955 |
1,919 |
1,892 |
1,872 |
1,855 |
1,842 |
1,822 |
1,807 |
1,796 |
1,787 |
1,779 |
1,757 |
1,746 |
1,725 |
1,718 |
|||||||||||||||||||||||||||
30 |
4,171 |
3,316 |
2,922 |
2,690 |
2,534 |
2,421 |
2,334 |
2,266 |
2,211 |
2,165 |
2,092 |
2,015 |
1,932 |
1,878 |
1,841 |
1,813 |
1,792 |
1,775 |
1,761 |
1,740 |
1,724 |
1,712 |
1,703 |
1,695 |
1,672 |
1,660 |
1,637 |
1,630 |
|||||||||||||||||||||||||||
35 |
4,121 |
3,267 |
2,874 |
2,641 |
2,485 |
2,372 |
2,285 |
2,217 |
2,161 |
2,114 |
2,041 |
1,963 |
1,878 |
1,824 |
1,786 |
1,757 |
1,735 |
1,718 |
1,703 |
1,681 |
1,665 |
1,652 |
1,643 |
1,635 |
1,610 |
1,598 |
1,574 |
1,566 |
|||||||||||||||||||||||||||
40 |
4,085 |
3,232 |
2,839 |
2,606 |
2,449 |
2,336 |
2,249 |
2,180 |
2,124 |
2,077 |
2,003 |
1,924 |
1,839 |
1,783 |
1,744 |
1,715 |
1,693 |
1,675 |
1,660 |
1,637 |
1,621 |
1,608 |
1,597 |
1,589 |
1,564 |
1,551 |
1,526 |
1,517 |
|||||||||||||||||||||||||||
45 |
4,057 |
3,204 |
2,812 |
2,579 |
2,422 |
2,308 |
2,221 |
2,152 |
2,096 |
2,049 |
1,974 |
1,895 |
1,808 |
1,752 |
1,713 |
1,683 |
1,660 |
1,642 |
1,626 |
1,603 |
1,586 |
1,573 |
1,562 |
1,554 |
1,527 |
1,513 |
1,488 |
1,479 |
|||||||||||||||||||||||||||
50 |
4,034 |
3,183 |
2,790 |
2,557 |
2,400 |
2,286 |
2,199 |
2,130 |
2,073 |
2,026 |
1,952 |
1,871 |
1,784 |
1,727 |
1,687 |
1,657 |
1,634 |
1,615 |
1,599 |
1,576 |
1,558 |
1,544 |
1,534 |
1,525 |
1,498 |
1,484 |
1,457 |
1,448 |
|||||||||||||||||||||||||||
60 |
4,001 |
3,150 |
2,758 |
2,525 |
2,368 |
2,254 |
2,167 |
2,097 |
2,040 |
1,993 |
1,917 |
1,836 |
1,748 |
1,690 |
1,649 |
1,618 |
1,594 |
1,575 |
1,559 |
1,534 |
1,516 |
1,502 |
1,491 |
1,481 |
1,453 |
1,438 |
1,409 |
1,399 |
|||||||||||||||||||||||||||
70 |
3,978 |
3,128 |
2,736 |
2,503 |
2,346 |
2,231 |
2,143 |
2,074 |
2,017 |
1,969 |
1,893 |
1,812 |
1,722 |
1,664 |
1,622 |
1,591 |
1,566 |
1,546 |
1,530 |
1,505 |
1,486 |
1,471 |
1,459 |
1,450 |
1,420 |
1,404 |
1,374 |
1,364 |
|||||||||||||||||||||||||||
80 |
3,960 |
3,111 |
2,719 |
2,486 |
2,329 |
2,214 |
2,126 |
2,056 |
1,999 |
1,951 |
1,875 |
1,793 |
1,703 |
1,644 |
1,602 |
1,570 |
1,545 |
1,525 |
1,508 |
1,482 |
1,463 |
1,448 |
1,436 |
1,426 |
1,395 |
1,379 |
1,347 |
1,336 |
|||||||||||||||||||||||||||
90 |
3,947 |
3,098 |
2,706 |
2,473 |
2,316 |
2,201 |
2,113 |
2,043 |
1,986 |
1,938 |
1,861 |
1,779 |
1,688 |
1,629 |
1,586 |
1,554 |
1,528 |
1,508 |
1,491 |
1,465 |
1,445 |
1,429 |
1,417 |
1,407 |
1,375 |
1,358 |
1,326 |
1,314 |
|||||||||||||||||||||||||||
100 |
3,936 |
3,087 |
2,696 |
2,463 |
2,305 |
2,191 |
2,103 |
2,032 |
1,975 |
1,927 |
1,850 |
1,768 |
1,676 |
1,616 |
1,573 |
1,541 |
1,515 |
1,494 |
1,477 |
1,450 |
1,430 |
1,415 |
1,402 |
1,392 |
1,359 |
1,342 |
1,308 |
1,296 |
|||||||||||||||||||||||||||
150 |
3,904 |
3,056 |
2,665 |
2,432 |
2,274 |
2,160 |
2,071 |
2,001 |
1,943 |
1,894 |
1,817 |
1,734 |
1,641 |
1,580 |
1,535 |
1,502 |
1,475 |
1,454 |
1,436 |
1,407 |
1,386 |
1,369 |
1,356 |
1,345 |
1,309 |
1,290 |
1,252 |
1,238 |
|||||||||||||||||||||||||||
200 |
3,888 |
3,041 |
2,650 |
2,417 |
2,259 |
2,144 |
2,056 |
1,985 |
1,927 |
1,878 |
1,801 |
1,717 |
1,623 |
1,561 |
1,516 |
1,482 |
1,455 |
1,433 |
1,415 |
1,386 |
1,364 |
1,346 |
1,332 |
1,321 |
1,283 |
1,263 |
1,221 |
1,205 |
|||||||||||||||||||||||||||
500 |
3,860 |
3,014 |
2,623 |
2,390 |
2,232 |
2,117 |
2,028 |
1,957 |
1,899 |
1,850 |
1,772 |
1,686 |
1,592 |
1,528 |
1,482 |
1,447 |
1,419 |
1,396 |
1,376 |
1,345 |
1,322 |
1,303 |
1,288 |
1,275 |
1,233 |
1,210 |
1,159 |
1,138 |
|||||||||||||||||||||||||||
1000 |
3,851 |
3,005 |
2,614 |
2,381 |
2,223 |
2,108 |
2,019 |
1,948 |
1,889 |
1,840 |
1,762 |
1,676 |
1,581 |
1,517 |
1,471 |
1,435 |
1,406 |
1,383 |
1,363 |
1,332 |
1,308 |
1,289 |
1,273 |
1,260 |
1,216 |
1,190 |
1,134 |
1,110 |
|||||||||||||||||||||||||||
2000 |
3,846 |
3,000 |
2,609 |
2,376 |
2,219 |
2,103 |
2,014 |
1,943 |
1,885 |
1,835 |
1,757 |
1,671 |
1,576 |
1,512 |
1,465 |
1,429 |
1,400 |
1,377 |
1,357 |
1,325 |
1,301 |
1,281 |
1,265 |
1,252 |
1,207 |
1,180 |
1,121 |
1,093 |
|||||||||||||||||||||||||||
5000 |
3,843 |
2,998 |
2,607 |
2,374 |
2,216 |
2,100 |
2,011 |
1,940 |
1,882 |
1,833 |
1,754 |
1,668 |
1,573 |
1,508 |
1,461 |
1,425 |
1,396 |
1,373 |
1,353 |
1,321 |
1,296 |
1,277 |
1,260 |
1,247 |
1,201 |
1,174 |
1,112 |
1,083 |
|||||||||||||||||||||||||||
10000 |
3,842 |
2,997 |
2,606 |
2,373 |
2,215 |
2,099 |
2,011 |
1,939 |
1,881 |
1,832 |
1,753 |
1,667 |
1,572 |
1,507 |
1,460 |
1,424 |
1,395 |
1,371 |
1,351 |
1,319 |
1,295 |
1,275 |
1,259 |
1,245 |
1,199 |
1,172 |
1,109 |
1,079 |
|||||||||||||||||||||||||||
20000 |
3,842 |
2,996 |
2,605 |
2,372 |
2,215 |
2,099 |
2,010 |
1,939 |
1,880 |
1,831 |
1,753 |
1,667 |
1,571 |
1,507 |
1,460 |
1,424 |
1,395 |
1,371 |
1,351 |
1,319 |
1,294 |
1,274 |
1,258 |
1,244 |
1,198 |
1,171 |
1,108 |
1,077 |
|||||||||||||||||||||||||||
50000 |
3,842 |
2,996 |
2,605 |
2,372 |
2,214 |
2,099 |
2,010 |
1,939 |
1,880 |
1,831 |
1,752 |
1,667 |
1,571 |
1,506 |
1,459 |
1,423 |
1,394 |
1,370 |
1,350 |
1,318 |
1,294 |
1,274 |
1,257 |
1,244 |
1,198 |
1,170 |
1,107 |
1,075 |
|||||||||||||||||||||||||||
100000 |
3,842 |
2,996 |
2,605 |
2,372 |
2,214 |
2,099 |
2,010 |
1,939 |
1,880 |
1,831 |
1,752 |
1,666 |
1,571 |
1,506 |
1,459 |
1,423 |
1,394 |
1,370 |
1,350 |
1,318 |
1,293 |
1,274 |
1,257 |
1,244 |
1,197 |
1,170 |
1,107 |
1,075 |
|||||||||||||||||||||||||||
|
0,01 |
|
|
F,v1,v2 |
Wartości krytyczne rozkładu Fishera-Snedecora |
|
|
|
|
|
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v2\v1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
12 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
50 |
60 |
70 |
80 |
90 |
100 |
150 |
200 |
500 |
||||||||||||||||||||||||||||
1 |
4052,18 |
4999,34 |
5403,53 |
5624,26 |
5763,96 |
5858,95 |
5928,33 |
5980,95 |
6022,40 |
6055,93 |
6106,68 |
6156,97 |
6208,66 |
6239,86 |
6260,35 |
6275,25 |
6286,43 |
6295,74 |
6302,26 |
6312,97 |
6320,89 |
6326,47 |
6330,67 |
6333,92 |
6344,64 |
6349,76 |
6359,54 |
||||||||||||||||||||||||||||
2 |
98,502 |
99,000 |
99,164 |
99,251 |
99,302 |
99,331 |
99,357 |
99,375 |
99,390 |
99,397 |
99,419 |
99,433 |
99,448 |
99,459 |
99,466 |
99,470 |
99,477 |
99,477 |
99,477 |
99,484 |
99,484 |
99,484 |
99,488 |
99,491 |
99,491 |
99,491 |
99,499 |
||||||||||||||||||||||||||||
3 |
34,116 |
30,816 |
29,457 |
28,710 |
28,237 |
27,911 |
27,671 |
27,489 |
27,345 |
27,228 |
27,052 |
26,872 |
26,690 |
26,579 |
26,504 |
26,451 |
26,411 |
26,379 |
26,354 |
26,316 |
26,289 |
26,269 |
26,253 |
26,241 |
26,202 |
26,183 |
26,148 |
||||||||||||||||||||||||||||
4 |
21,198 |
18,000 |
16,694 |
15,977 |
15,522 |
15,207 |
14,976 |
14,799 |
14,659 |
14,546 |
14,374 |
14,198 |
14,019 |
13,911 |
13,838 |
13,785 |
13,745 |
13,714 |
13,690 |
13,652 |
13,626 |
13,605 |
13,590 |
13,577 |
13,539 |
13,520 |
13,486 |
||||||||||||||||||||||||||||
5 |
16,258 |
13,274 |
12,060 |
11,392 |
10,967 |
10,672 |
10,456 |
10,289 |
10,158 |
10,051 |
9,888 |
9,722 |
9,553 |
9,449 |
9,379 |
9,329 |
9,291 |
9,262 |
9,238 |
9,202 |
9,176 |
9,157 |
9,142 |
9,130 |
9,094 |
9,075 |
9,042 |
||||||||||||||||||||||||||||
6 |
13,745 |
10,925 |
9,780 |
9,148 |
8,746 |
8,466 |
8,260 |
8,102 |
7,976 |
7,874 |
7,718 |
7,559 |
7,396 |
7,296 |
7,229 |
7,180 |
7,143 |
7,115 |
7,091 |
7,057 |
7,032 |
7,013 |
6,998 |
6,987 |
6,951 |
6,934 |
6,901 |
||||||||||||||||||||||||||||
7 |
12,246 |
9,547 |
8,451 |
7,847 |
7,460 |
7,191 |
6,993 |
6,840 |
6,719 |
6,620 |
6,469 |
6,314 |
6,155 |
6,058 |
5,992 |
5,944 |
5,908 |
5,880 |
5,858 |
5,824 |
5,799 |
5,781 |
5,766 |
5,755 |
5,720 |
5,702 |
5,671 |
||||||||||||||||||||||||||||
8 |
11,259 |
8,649 |
7,591 |
7,006 |
6,632 |
6,371 |
6,178 |
6,029 |
5,911 |
5,814 |
5,667 |
5,515 |
5,359 |
5,263 |
5,198 |
5,151 |
5,116 |
5,088 |
5,065 |
5,032 |
5,007 |
4,989 |
4,975 |
4,963 |
4,929 |
4,911 |
4,880 |
||||||||||||||||||||||||||||
9 |
10,562 |
8,022 |
6,992 |
6,422 |
6,057 |
5,802 |
5,613 |
5,467 |
5,351 |
5,257 |
5,111 |
4,962 |
4,808 |
4,713 |
4,649 |
4,602 |
4,567 |
4,539 |
4,517 |
4,483 |
4,459 |
4,441 |
4,426 |
4,415 |
4,380 |
4,363 |
4,332 |
||||||||||||||||||||||||||||
10 |
10,044 |
7,559 |
6,552 |
5,994 |
5,636 |
5,386 |
5,200 |
5,057 |
4,942 |
4,849 |
4,706 |
4,558 |
4,405 |
4,311 |
4,247 |
4,201 |
4,165 |
4,138 |
4,115 |
4,082 |
4,058 |
4,039 |
4,025 |
4,014 |
3,979 |
3,962 |
3,930 |
||||||||||||||||||||||||||||
12 |
9,330 |
6,927 |
5,953 |
5,412 |
5,064 |
4,821 |
4,640 |
4,499 |
4,388 |
4,296 |
4,155 |
4,010 |
3,858 |
3,765 |
3,701 |
3,654 |
3,619 |
3,592 |
3,569 |
3,535 |
3,511 |
3,493 |
3,478 |
3,467 |
3,432 |
3,414 |
3,382 |
||||||||||||||||||||||||||||
15 |
8,683 |
6,359 |
5,417 |
4,893 |
4,556 |
4,318 |
4,142 |
4,004 |
3,895 |
3,805 |
3,666 |
3,522 |
3,372 |
3,278 |
3,214 |
3,167 |
3,132 |
3,104 |
3,081 |
3,047 |
3,022 |
3,004 |
2,989 |
2,977 |
2,942 |
2,923 |
2,891 |
||||||||||||||||||||||||||||
20 |
8,096 |
5,849 |
4,938 |
4,431 |
4,103 |
3,871 |
3,699 |
3,564 |
3,457 |
3,368 |
3,231 |
3,088 |
2,938 |
2,843 |
2,778 |
2,731 |
2,695 |
2,666 |
2,643 |
2,608 |
2,582 |
2,563 |
2,548 |
2,535 |
2,498 |
2,479 |
2,445 |
||||||||||||||||||||||||||||
25 |
7,770 |
5,568 |
4,675 |
4,177 |
3,855 |
3,627 |
3,457 |
3,324 |
3,217 |
3,129 |
2,993 |
2,850 |
2,699 |
2,604 |
2,538 |
2,490 |
2,453 |
2,424 |
2,400 |
2,364 |
2,337 |
2,317 |
2,302 |
2,289 |
2,250 |
2,230 |
2,194 |
||||||||||||||||||||||||||||
30 |
7,562 |
5,390 |
4,510 |
4,018 |
3,699 |
3,473 |
3,305 |
3,173 |
3,067 |
2,979 |
2,843 |
2,700 |
2,549 |
2,453 |
2,386 |
2,337 |
2,299 |
2,269 |
2,245 |
2,208 |
2,181 |
2,160 |
2,144 |
2,131 |
2,091 |
2,070 |
2,032 |
||||||||||||||||||||||||||||
35 |
7,419 |
5,268 |
4,396 |
3,908 |
3,592 |
3,368 |
3,200 |
3,069 |
2,963 |
2,876 |
2,740 |
2,597 |
2,445 |
2,348 |
2,281 |
2,231 |
2,193 |
2,162 |
2,137 |
2,099 |
2,072 |
2,050 |
2,034 |
2,020 |
1,979 |
1,957 |
1,918 |
||||||||||||||||||||||||||||
40 |
7,314 |
5,178 |
4,313 |
3,828 |
3,514 |
3,291 |
3,124 |
2,993 |
2,888 |
2,801 |
2,665 |
2,522 |
2,369 |
2,271 |
2,203 |
2,153 |
2,114 |
2,083 |
2,058 |
2,019 |
1,991 |
1,969 |
1,952 |
1,938 |
1,896 |
1,874 |
1,833 |
||||||||||||||||||||||||||||
45 |
7,234 |
5,110 |
4,249 |
3,767 |
3,454 |
3,232 |
3,066 |
2,935 |
2,830 |
2,743 |
2,608 |
2,464 |
2,311 |
2,213 |
2,144 |
2,093 |
2,054 |
2,023 |
1,997 |
1,958 |
1,929 |
1,907 |
1,889 |
1,875 |
1,831 |
1,809 |
1,767 |
||||||||||||||||||||||||||||
50 |
7,171 |
5,057 |
4,199 |
3,720 |
3,408 |
3,186 |
3,020 |
2,890 |
2,785 |
2,698 |
2,563 |
2,419 |
2,265 |
2,167 |
2,098 |
2,046 |
2,007 |
1,975 |
1,949 |
1,909 |
1,880 |
1,857 |
1,839 |
1,825 |
1,780 |
1,757 |
1,713 |
||||||||||||||||||||||||||||
60 |
7,077 |
4,977 |
4,126 |
3,649 |
3,339 |
3,119 |
2,953 |
2,823 |
2,718 |
2,632 |
2,496 |
2,352 |
2,198 |
2,098 |
2,028 |
1,976 |
1,936 |
1,904 |
1,877 |
1,836 |
1,806 |
1,783 |
1,764 |
1,749 |
1,703 |
1,678 |
1,633 |
||||||||||||||||||||||||||||
70 |
7,011 |
4,922 |
4,074 |
3,600 |
3,291 |
3,071 |
2,906 |
2,777 |
2,672 |
2,585 |
2,450 |
2,306 |
2,150 |
2,050 |
1,980 |
1,927 |
1,886 |
1,853 |
1,826 |
1,785 |
1,754 |
1,730 |
1,711 |
1,695 |
1,647 |
1,622 |
1,574 |
||||||||||||||||||||||||||||
80 |
6,963 |
4,881 |
4,036 |
3,563 |
3,255 |
3,036 |
2,871 |
2,742 |
2,637 |
2,551 |
2,415 |
2,271 |
2,115 |
2,015 |
1,944 |
1,890 |
1,849 |
1,816 |
1,788 |
1,746 |
1,714 |
1,690 |
1,671 |
1,655 |
1,605 |
1,579 |
1,530 |
||||||||||||||||||||||||||||
90 |
6,925 |
4,849 |
4,007 |
3,535 |
3,228 |
3,009 |
2,845 |
2,715 |
2,611 |
2,524 |
2,389 |
2,244 |
2,088 |
1,987 |
1,916 |
1,862 |
1,820 |
1,787 |
1,759 |
1,716 |
1,684 |
1,659 |
1,639 |
1,623 |
1,572 |
1,546 |
1,494 |
||||||||||||||||||||||||||||
100 |
6,895 |
4,824 |
3,984 |
3,513 |
3,206 |
2,988 |
2,823 |
2,694 |
2,590 |
2,503 |
2,368 |
2,223 |
2,067 |
1,965 |
1,893 |
1,839 |
1,797 |
1,763 |
1,735 |
1,692 |
1,659 |
1,634 |
1,614 |
1,598 |
1,546 |
1,518 |
1,466 |
||||||||||||||||||||||||||||
150 |
6,807 |
4,749 |
3,915 |
3,447 |
3,142 |
2,924 |
2,761 |
2,632 |
2,528 |
2,441 |
2,305 |
2,160 |
2,003 |
1,900 |
1,827 |
1,772 |
1,729 |
1,694 |
1,665 |
1,620 |
1,586 |
1,559 |
1,538 |
1,520 |
1,465 |
1,435 |
1,376 |
||||||||||||||||||||||||||||
200 |
6,763 |
4,713 |
3,881 |
3,414 |
3,110 |
2,893 |
2,730 |
2,601 |
2,497 |
2,411 |
2,275 |
2,129 |
1,971 |
1,868 |
1,794 |
1,738 |
1,694 |
1,659 |
1,629 |
1,583 |
1,548 |
1,521 |
1,499 |
1,481 |
1,423 |
1,391 |
1,328 |
||||||||||||||||||||||||||||
500 |
6,686 |
4,648 |
3,821 |
3,357 |
3,054 |
2,838 |
2,675 |
2,547 |
2,443 |
2,356 |
2,220 |
2,075 |
1,915 |
1,810 |
1,735 |
1,678 |
1,633 |
1,596 |
1,566 |
1,517 |
1,481 |
1,452 |
1,428 |
1,408 |
1,344 |
1,308 |
1,232 |
||||||||||||||||||||||||||||
1000 |
6,660 |
4,626 |
3,801 |
3,338 |
3,036 |
2,820 |
2,657 |
2,529 |
2,425 |
2,339 |
2,203 |
2,056 |
1,897 |
1,791 |
1,716 |
1,658 |
1,613 |
1,576 |
1,544 |
1,495 |
1,458 |
1,428 |
1,404 |
1,383 |
1,317 |
1,278 |
1,195 |
||||||||||||||||||||||||||||
2000 |
6,648 |
4,616 |
3,791 |
3,329 |
3,026 |
2,811 |
2,648 |
2,520 |
2,416 |
2,330 |
2,194 |
2,047 |
1,888 |
1,782 |
1,706 |
1,648 |
1,602 |
1,565 |
1,534 |
1,484 |
1,446 |
1,416 |
1,391 |
1,371 |
1,302 |
1,263 |
1,175 |
||||||||||||||||||||||||||||
5000 |
6,640 |
4,609 |
3,786 |
3,323 |
3,021 |
2,806 |
2,643 |
2,515 |
2,411 |
2,324 |
2,188 |
2,042 |
1,882 |
1,776 |
1,700 |
1,642 |
1,596 |
1,559 |
1,527 |
1,477 |
1,439 |
1,409 |
1,384 |
1,363 |
1,294 |
1,254 |
1,162 |
||||||||||||||||||||||||||||
10000 |
6,637 |
4,607 |
3,784 |
3,321 |
3,019 |
2,804 |
2,641 |
2,513 |
2,409 |
2,323 |
2,187 |
2,040 |
1,880 |
1,774 |
1,698 |
1,640 |
1,594 |
1,557 |
1,525 |
1,475 |
1,437 |
1,407 |
1,382 |
1,361 |
1,291 |
1,250 |
1,157 |
||||||||||||||||||||||||||||
20000 |
6,636 |
4,606 |
3,783 |
3,320 |
3,018 |
2,803 |
2,640 |
2,512 |
2,408 |
2,322 |
2,186 |
2,039 |
1,879 |
1,774 |
1,697 |
1,639 |
1,593 |
1,556 |
1,524 |
1,474 |
1,436 |
1,405 |
1,380 |
1,359 |
1,290 |
1,249 |
1,155 |
||||||||||||||||||||||||||||
50000 |
6,635 |
4,606 |
3,782 |
3,320 |
3,018 |
2,802 |
2,640 |
2,512 |
2,408 |
2,321 |
2,185 |
2,039 |
1,879 |
1,773 |
1,697 |
1,639 |
1,593 |
1,555 |
1,524 |
1,473 |
1,435 |
1,405 |
1,380 |
1,359 |
1,289 |
1,248 |
1,154 |
||||||||||||||||||||||||||||
100000 |
6,635 |
4,605 |
3,782 |
3,319 |
3,017 |
2,802 |
2,640 |
2,511 |
2,408 |
2,321 |
2,185 |
2,039 |
1,878 |
1,773 |
1,697 |
1,639 |
1,592 |
1,555 |
1,523 |
1,473 |
1,435 |
1,404 |
1,379 |
1,358 |
1,288 |
1,248 |
1,153 |
Jakub Paderewski Katedra Biometrii WRiB SGGW na podstawie programu EXCEL
pakietu OFFICE 2000