Tablica rozkładu t-Studenta
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Tablica kwantyli rozkładu t-Studenta |
Tablica może służyć m.in. do wyznaczania obszaru krytycznego dla testów statystycznych opartych na rozkładzie t-Studenta o danej liczbie n stopni swobody
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kwantyl rozkładu | 0.9 | 0.95 | 0.975 | 0.98 | 0.99 | 0.995 | 0.999 | 0.9995 |
---|---|---|---|---|---|---|---|---|
obszar krytyczny jednostronny, | 0.1 | 0.05 | 0.025 | 0.02 | 0.01 | 0.005 | 0.001 | 0.0005 |
obszar krytyczny dwustronny, | 0.2 | 0.1 | 0.05 | 0.04 | 0.02 | 0.01 | 0.002 | 0.001 |
n=1 (rozkład Cauchy'ego) | 3.07768 | 6.31375 | 12.7062 | 15.8945 | 31.8205 | 63.6568 | 318.306 | 636.627 |
2 | 1.88562 | 2.91999 | 4.30265 | 4.84873 | 6.96456 | 9.92484 | 22.3272 | 31.5990 |
3 | 1.63774 | 2.35336 | 3.18245 | 3.48191 | 4.54070 | 5.84091 | 10.2145 | 12.9240 |
4 | 1.53321 | 2.13185 | 2.77644 | 2.99853 | 3.74695 | 4.60409 | 7.17318 | 8.61031 |
5 | 1.47588 | 2.01505 | 2.57058 | 2.75651 | 3.36493 | 4.03214 | 5.89344 | 6.86884 |
6 | 1.43976 | 1.94318 | 2.44691 | 2.61224 | 3.14267 | 3.70743 | 5.20763 | 5.95880 |
7 | 1.41492 | 1.89458 | 2.36462 | 2.51675 | 2.99795 | 3.49948 | 4.78528 | 5.40787 |
8 | 1.39682 | 1.85955 | 2.30600 | 2.44898 | 2.89646 | 3.35539 | 4.50079 | 5.04130 |
9 | 1.38303 | 1.83311 | 2.26216 | 2.39844 | 2.82144 | 3.24984 | 4.29681 | 4.78092 |
10 | 1.37218 | 1.81246 | 2.22814 | 2.35931 | 2.76377 | 3.16927 | 4.14370 | 4.58691 |
11 | 1.36343 | 1.79588 | 2.20099 | 2.32814 | 2.71808 | 3.10581 | 4.02470 | 4.43697 |
12 | 1.35622 | 1.78229 | 2.17881 | 2.30272 | 2.68100 | 3.05454 | 3.92963 | 4.31779 |
13 | 1.35017 | 1.77093 | 2.16037 | 2.28160 | 2.65031 | 3.01228 | 3.85198 | 4.22083 |
14 | 1.34503 | 1.76131 | 2.14479 | 2.26378 | 2.62449 | 2.97684 | 3.78739 | 4.14045 |
15 | 1.34061 | 1.75305 | 2.13145 | 2.24854 | 2.60248 | 2.94671 | 3.73283 | 4.07276 |
16 | 1.33676 | 1.74588 | 2.11991 | 2.23536 | 2.58349 | 2.92078 | 3.68615 | 4.01500 |
17 | 1.33338 | 1.73961 | 2.10982 | 2.22385 | 2.56693 | 2.89823 | 3.64576 | 3.96512 |
18 | 1.33039 | 1.73406 | 2.10092 | 2.21370 | 2.55238 | 2.87844 | 3.61048 | 3.92164 |
19 | 1.32773 | 1.72913 | 2.09302 | 2.20470 | 2.53948 | 2.86094 | 3.57940 | 3.88341 |
20 | 1.32534 | 1.72472 | 2.08596 | 2.19666 | 2.52798 | 2.84534 | 3.55181 | 3.84952 |
21 | 1.32319 | 1.72074 | 2.07961 | 2.18943 | 2.51765 | 2.83136 | 3.52715 | 3.81927 |
22 | 1.32124 | 1.71714 | 2.07387 | 2.18289 | 2.50832 | 2.81876 | 3.50499 | 3.79214 |
23 | 1.31946 | 1.71387 | 2.06866 | 2.17696 | 2.49987 | 2.80734 | 3.48496 | 3.76762 |
24 | 1.31784 | 1.71088 | 2.06390 | 2.17154 | 2.49216 | 2.79694 | 3.46678 | 3.74539 |
25 | 1.31635 | 1.70814 | 2.05954 | 2.16659 | 2.48511 | 2.78744 | 3.45019 | 3.72514 |
26 | 1.31497 | 1.70562 | 2.05553 | 2.16203 | 2.47863 | 2.77871 | 3.43500 | 3.70660 |
27 | 1.31370 | 1.70329 | 2.05183 | 2.15783 | 2.47266 | 2.77068 | 3.42103 | 3.68959 |
28 | 1.31253 | 1.70113 | 2.04841 | 2.15393 | 2.46714 | 2.76326 | 3.40816 | 3.67391 |
29 | 1.31143 | 1.69913 | 2.04523 | 2.15033 | 2.46202 | 2.75639 | 3.39624 | 3.65941 |
30 | 1.31041 | 1.69726 | 2.04227 | 2.14697 | 2.45726 | 2.75000 | 3.38519 | 3.64596 |
31 | 1.30946 | 1.69552 | 2.03951 | 2.14383 | 2.45282 | 2.74404 | 3.37490 | 3.63345 |
32 | 1.30857 | 1.69389 | 2.03693 | 2.14090 | 2.44868 | 2.73848 | 3.36531 | 3.62180 |
33 | 1.30774 | 1.69236 | 2.03452 | 2.13816 | 2.44479 | 2.73328 | 3.35634 | 3.61091 |
34 | 1.30695 | 1.69092 | 2.03224 | 2.13558 | 2.44115 | 2.72840 | 3.34793 | 3.60072 |
35 | 1.30621 | 1.68957 | 2.03011 | 2.13316 | 2.43772 | 2.72381 | 3.34004 | 3.59115 |
36 | 1.30551 | 1.68830 | 2.02809 | 2.13087 | 2.43449 | 2.71948 | 3.33262 | 3.58215 |
37 | 1.30485 | 1.68709 | 2.02619 | 2.12871 | 2.43145 | 2.71541 | 3.32563 | 3.57367 |
38 | 1.30423 | 1.68595 | 2.02439 | 2.12667 | 2.42857 | 2.71156 | 3.31903 | 3.56568 |
39 | 1.30364 | 1.68488 | 2.02269 | 2.12474 | 2.42584 | 2.70791 | 3.31279 | 3.55811 |
40 | 1.30308 | 1.68385 | 2.02108 | 2.12291 | 2.42326 | 2.70446 | 3.30688 | 3.55096 |
41 | 1.30254 | 1.68288 | 2.01954 | 2.12117 | 2.42080 | 2.70118 | 3.30127 | 3.54418 |
42 | 1.30204 | 1.68195 | 2.01808 | 2.11952 | 2.41847 | 2.69807 | 3.29595 | 3.53774 |
43 | 1.30155 | 1.68107 | 2.01669 | 2.11794 | 2.41625 | 2.69510 | 3.29089 | 3.53162 |
44 | 1.30109 | 1.68023 | 2.01537 | 2.11644 | 2.41413 | 2.69228 | 3.28607 | 3.52580 |
45 | 1.30065 | 1.67943 | 2.01410 | 2.11500 | 2.41212 | 2.68959 | 3.28148 | 3.52025 |
46 | 1.30023 | 1.67866 | 2.01290 | 2.11364 | 2.41019 | 2.68701 | 3.27710 | 3.51496 |
47 | 1.29982 | 1.67793 | 2.01174 | 2.11233 | 2.40835 | 2.68456 | 3.27291 | 3.50990 |
48 | 1.29944 | 1.67722 | 2.01063 | 2.11107 | 2.40658 | 2.68220 | 3.26891 | 3.50507 |
49 | 1.29907 | 1.67655 | 2.00958 | 2.10987 | 2.40489 | 2.67995 | 3.26508 | 3.50045 |
50 | 1.29871 | 1.67590 | 2.00856 | 2.10872 | 2.40327 | 2.67779 | 3.26141 | 3.49601 |
55 | 1.29713 | 1.67303 | 2.00404 | 2.10361 | 2.39608 | 2.66822 | 3.24515 | 3.47640 |
60 | 1.29582 | 1.67065 | 2.00030 | 2.09936 | 2.39012 | 2.66028 | 3.23171 | 3.46020 |
65 | 1.29471 | 1.66864 | 1.99714 | 2.09578 | 2.38510 | 2.65360 | 3.22042 | 3.44659 |
70 | 1.29376 | 1.66691 | 1.99444 | 2.09273 | 2.38081 | 2.64790 | 3.21079 | 3.43502 |
75 | 1.29294 | 1.66543 | 1.99210 | 2.09008 | 2.37710 | 2.64298 | 3.20249 | 3.42503 |
80 | 1.29222 | 1.66412 | 1.99006 | 2.08778 | 2.37387 | 2.63869 | 3.19526 | 3.41634 |
85 | 1.29159 | 1.66298 | 1.98827 | 2.08574 | 2.37102 | 2.63491 | 3.18890 | 3.40870 |
90 | 1.29103 | 1.66196 | 1.98667 | 2.08394 | 2.36850 | 2.63157 | 3.18327 | 3.40194 |
95 | 1.29053 | 1.66105 | 1.98525 | 2.08233 | 2.36624 | 2.62858 | 3.17825 | 3.39590 |
100 | 1.29007 | 1.66023 | 1.98397 | 2.08088 | 2.36422 | 2.62589 | 3.17374 | 3.39049 |
110 | 1.28930 | 1.65882 | 1.98177 | 2.07839 | 2.36073 | 2.62127 | 3.16598 | 3.38118 |
120 | 1.28865 | 1.65765 | 1.97993 | 2.07631 | 2.35782 | 2.61742 | 3.15954 | 3.37346 |
130 | 1.28810 | 1.65666 | 1.97838 | 2.07456 | 2.35537 | 2.61418 | 3.15411 | 3.36695 |
140 | 1.28763 | 1.65581 | 1.97705 | 2.07306 | 2.35328 | 2.61140 | 3.14946 | 3.36137 |
150 | 1.28722 | 1.65508 | 1.97591 | 2.07176 | 2.35146 | 2.60900 | 3.14545 | 3.35657 |
160 | 1.28687 | 1.65443 | 1.97490 | 2.07063 | 2.34988 | 2.60691 | 3.14195 | 3.35237 |
170 | 1.28655 | 1.65387 | 1.97402 | 2.06963 | 2.34848 | 2.60506 | 3.13886 | 3.34868 |
180 | 1.28627 | 1.65336 | 1.97323 | 2.06874 | 2.34724 | 2.60342 | 3.13612 | 3.34540 |
190 | 1.28602 | 1.65291 | 1.97253 | 2.06794 | 2.34613 | 2.60195 | 3.13368 | 3.34246 |
200 | 1.28580 | 1.65251 | 1.97190 | 2.06723 | 2.34514 | 2.60063 | 3.13148 | 3.33983 |
210 | 1.28560 | 1.65214 | 1.97132 | 2.06658 | 2.34424 | 2.59944 | 3.12949 | 3.33746 |
220 | 1.28541 | 1.65181 | 1.97081 | 2.06600 | 2.34342 | 2.59836 | 3.12769 | 3.33530 |
230 | 1.28524 | 1.65151 | 1.97033 | 2.06546 | 2.34267 | 2.59737 | 3.12604 | 3.33333 |
240 | 1.28509 | 1.65123 | 1.96990 | 2.06497 | 2.34199 | 2.59647 | 3.12454 | 3.33153 |
250 | 1.28495 | 1.65097 | 1.96950 | 2.06452 | 2.34136 | 2.59564 | 3.12315 | 3.32987 |
260 | 1.28482 | 1.65074 | 1.96913 | 2.06410 | 2.34078 | 2.59487 | 3.12188 | 3.32834 |
270 | 1.28469 | 1.65052 | 1.96879 | 2.06372 | 2.34024 | 2.59416 | 3.12069 | 3.32692 |
280 | 1.28458 | 1.65031 | 1.96847 | 2.06336 | 2.33974 | 2.59350 | 3.11960 | 3.32561 |
290 | 1.28448 | 1.65013 | 1.96818 | 2.06303 | 2.33928 | 2.59289 | 3.11857 | 3.32439 |
300 | 1.28438 | 1.64995 | 1.96790 | 2.06272 | 2.33884 | 2.59232 | 3.11762 | 3.32326 |
350 | 1.28398 | 1.64922 | 1.96677 | 2.06143 | 2.33705 | 2.58995 | 3.11368 | 3.31854 |
400 | 1.28367 | 1.64867 | 1.96591 | 2.06047 | 2.33571 | 2.58818 | 3.11073 | 3.31502 |
450 | 1.28344 | 1.64825 | 1.96525 | 2.05972 | 2.33466 | 2.58680 | 3.10844 | 3.31227 |
500 | 1.28325 | 1.64791 | 1.96472 | 2.05912 | 2.33383 | 2.58570 | 3.10661 | 3.31009 |
600 | 1.28296 | 1.64740 | 1.96393 | 2.05822 | 2.33258 | 2.58405 | 3.10387 | 3.30682 |
700 | 1.28276 | 1.64703 | 1.96336 | 2.05758 | 2.33169 | 2.58287 | 3.10192 | 3.30448 |
800 | 1.28261 | 1.64676 | 1.96293 | 2.05710 | 2.33102 | 2.58199 | 3.10045 | 3.30273 |
900 | 1.28249 | 1.64655 | 1.96260 | 2.05673 | 2.33050 | 2.58130 | 3.09931 | 3.30137 |
1000 | 1.28240 | 1.64638 | 1.96234 | 2.05643 | 2.33008 | 2.58075 | 3.09840 | 3.30028 |
(rozkład normalny) | 1.28155 | 1.64485 | 1.95996 | 2.05375 | 2.32635 | 2.57583 | 3.09023 | 3.29053 |
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