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카이스퀘어분포표

$ P[X > \chi_{\alpha}^{2} (\nu)] = \alpha $ 를 만족하는 $\chi_{\alpha}^{2} (\nu)$ 값 (단, $\nu$는 자유도 $n-1$)

$ \nu $ $ \alpha $
0.999 0.995 0.990 0.975 0.950 0.900 0.800 0.500 0.200 0.100 0.050 0.025 0.010 0.005 0.001
1 0.0000016 0.0000393 0.0001571 0.0009821 0.0039321 0.0157908 0.0641848 0.4549364 1.6423751 2.7055440 3.8414591 5.0238865 6.6348967 7.8794387 10.8275662
2 0.00200 0.01003 0.02010 0.05064 0.10259 0.21072 0.44629 1.38629 3.21888 4.60517 5.99146 7.37776 9.21034 10.59663 13.81551
3 0.02430 0.07172 0.11483 0.21580 0.35185 0.58437 1.00517 2.36597 4.64163 6.25139 7.81473 9.34840 11.34487 12.83816 16.26624
4 0.09080 0.20699 0.29711 0.48442 0.71072 1.06362 1.64878 3.35669 5.98862 7.77944 9.48773 11.14329 13.27670 14.86026 18.46683
5 0.21021 0.41174 0.55430 0.83121 1.14548 1.61031 2.34253 4.35146 7.28928 9.23636 11.07050 12.83250 15.08627 16.74960 20.51501
6 0.38107 0.67573 0.87209 1.23734 1.63538 2.20413 3.07009 5.34812 8.55806 10.64464 12.59159 14.44938 16.81189 18.54758 22.45774
7 0.59849 0.98926 1.23904 1.68987 2.16735 2.83311 3.82232 6.34581 9.80325 12.01704 14.06714 16.01276 18.47531 20.27774 24.32189
8 0.85710 1.34441 1.64650 2.17973 2.73264 3.48954 4.59357 7.34412 11.03009 13.36157 15.50731 17.53455 20.09024 21.95495 26.12448
9 1.15195 1.73493 2.08790 2.70039 3.32511 4.16816 5.38005 8.34283 12.24215 14.68366 16.91898 19.02277 21.66599 23.58935 27.87716
10 1.47874 2.15586 2.55821 3.24697 3.94030 4.86518 6.17908 9.34182 13.44196 15.98718 18.30704 20.48318 23.20925 25.18818 29.58830
11 1.83385 2.60322 3.05348 3.81575 4.57481 5.57778 6.98867 10.34100 14.63142 17.27501 19.67514 21.92005 24.72497 26.75685 31.26413
12 2.21421 3.07382 3.57057 4.40379 5.22603 6.30380 7.80733 11.34032 15.81199 18.54935 21.02607 23.33666 26.21697 28.29952 32.90949
13 2.61722 3.56503 4.10692 5.00875 5.89186 7.04150 8.63386 12.33976 16.98480 19.81193 22.36203 24.73560 27.68825 29.81947 34.52818
14 3.04067 4.07467 4.66043 5.62873 6.57063 7.78953 9.46733 13.33927 18.15077 21.06414 23.68479 26.11895 29.14124 31.31935 36.12327
15 3.48268 4.60092 5.22935 6.26214 7.26094 8.54676 10.30696 14.33886 19.31066 22.30713 24.99579 27.48839 30.57791 32.80132 37.69730
16 3.94163 5.14221 5.81221 6.90766 7.96165 9.31224 11.15212 15.33850 20.46508 23.54183 26.29623 28.84535 31.99993 34.26719 39.25235
17 4.41609 5.69722 6.40776 7.56419 8.67176 10.08519 12.00227 16.33818 21.61456 24.76904 27.58711 30.19101 33.40866 35.71847 40.79022
18 4.90485 6.26480 7.01491 8.23075 9.39046 10.86494 12.85695 17.33790 22.75955 25.98942 28.86930 31.52638 34.80531 37.15645 42.31240
19 5.40682 6.84397 7.63273 8.90652 10.11701 11.65091 13.71579 18.33765 23.90042 27.20357 30.14353 32.85233 36.19087 38.58226 43.82020
20 5.92104 7.43384 8.26040 9.59078 10.85081 12.44261 14.57844 19.33743 25.03751 28.41198 31.41043 34.16961 37.56623 39.99685 45.31475
21 6.44668 8.03365 8.89720 10.28290 11.59131 13.23960 15.44461 20.33723 26.17110 29.61509 32.67057 35.47888 38.93217 41.40106 46.79704
22 6.98297 8.64272 9.54249 10.98232 12.33801 14.04149 16.31404 21.33705 27.30145 30.81328 33.92444 36.78071 40.28936 42.79565 48.26794
23 7.52924 9.26042 10.19572 11.68855 13.09051 14.84796 17.18651 22.33688 28.42879 32.00690 35.17246 38.07563 41.63840 44.18128 49.72823
24 8.08488 9.88623 10.85636 12.40115 13.84843 15.65868 18.06180 23.33673 29.55332 33.19624 36.41503 39.36408 42.97982 45.55851 51.17860
25 8.64934 10.51965 11.52398 13.11972 14.61141 16.47341 18.93975 24.33659 30.67520 34.38159 37.65248 40.64647 44.31410 46.92789 52.61966
26 9.22213 11.16024 12.19815 13.84391 15.37916 17.29189 19.82019 25.33646 31.79461 35.56317 38.88514 41.92317 45.64168 48.28988 54.05196
27 9.80278 11.80759 12.87850 14.57338 16.15140 18.11390 20.70298 26.33634 32.91169 36.74122 40.11327 43.19451 46.96294 49.64492 55.47602
28 10.39088 12.46134 13.56471 15.30786 16.92788 18.93924 21.58797 27.33623 34.02657 37.91592 41.33714 44.46079 48.27824 50.99338 56.89229
29 10.98605 13.12115 14.25645 16.04707 17.70837 19.76774 22.47505 28.33613 35.13936 39.08747 42.55697 45.72229 49.58788 52.33562 58.30117
30 11.58795 13.78672 14.95346 16.79077 18.49266 20.59923 23.36412 29.33603 36.25019 40.25602 43.77297 46.97924 50.89218 53.67196 59.70306
31 12.19625 14.45777 15.65546 17.53874 19.28057 21.43356 24.25506 30.33594 37.35914 41.42174 44.98534 48.23189 52.19139 55.00270 61.09831
32 12.81065 15.13403 16.36222 18.29076 20.07191 22.27059 25.14779 31.33586 38.46631 42.58475 46.19426 49.48044 53.48577 56.32811 62.48722
33 13.43089 15.81527 17.07351 19.04666 20.86653 23.11020 26.04222 32.33578 39.57179 43.74518 47.39988 50.72508 54.77554 57.64845 63.87010
34 14.05670 16.50127 17.78915 19.80625 21.66428 23.95225 26.93827 33.33571 40.67565 44.90316 48.60237 51.96600 56.06091 58.96393 65.24722
35 14.68785 17.19182 18.50893 20.56938 22.46502 24.79666 27.83587 34.33564 41.77796 46.05879 49.80185 53.20335 57.34207 60.27477 66.61883
36 15.32411 17.88673 19.23268 21.33588 23.26861 25.64330 28.73496 35.33557 42.87880 47.21217 50.99846 54.43729 58.61921 61.58118 67.98517
37 15.96529 18.58581 19.96023 22.10563 24.07494 26.49209 29.63547 36.33551 43.97822 48.36341 52.19232 55.66797 59.89250 62.88334 69.34645
38 16.61119 19.28891 20.69144 22.87848 24.88390 27.34295 30.53734 37.33545 45.07628 49.51258 53.38354 56.89552 61.16209 64.18141 70.70289
39 17.26162 19.99587 21.42616 23.65432 25.69539 28.19579 31.44052 38.33540 46.17303 50.65977 54.57223 58.12006 62.42812 65.47557 72.05466
40 17.91643 20.70654 22.16426 24.43304 26.50930 29.05052 32.34495 39.33535 47.26854 51.80506 55.75848 59.34171 63.69074 66.76596 73.40196
41 18.57544 21.42078 22.90561 25.21452 27.32555 29.90709 33.25060 40.33530 48.36283 52.94851 56.94239 60.56057 64.95007 68.05273 74.74494
42 19.23852 22.13846 23.65009 25.99866 28.14405 30.76542 34.15741 41.33525 49.45597 54.09020 58.12404 61.77676 66.20624 69.33600 76.08376
43 19.90551 22.85947 24.39760 26.78537 28.96472 31.62545 35.06534 42.33520 50.54799 55.23019 59.30351 62.99036 67.45935 70.61590 77.41858
44 20.57629 23.58369 25.14803 27.57457 29.78748 32.48713 35.97435 43.33516 51.63892 56.36854 60.48089 64.20146 68.70951 71.89255 78.74952
45 21.25074 24.31101 25.90127 28.36615 30.61226 33.35038 36.88441 44.33512 52.72881 57.50530 61.65623 65.41016 69.95683 73.16606 80.07673
46 21.92872 25.04133 26.65724 29.16005 31.43900 34.21517 37.79548 45.33508 53.81770 58.64054 62.82962 66.61653 71.20140 74.43654 81.40033
47 22.61013 25.77456 27.41585 29.95620 32.26762 35.08143 38.70752 46.33504 54.90561 59.77429 64.00111 67.82065 72.44331 75.70407 82.72042
48 23.29487 26.51059 28.17701 30.75451 33.09808 35.94913 39.62051 47.33501 55.99258 60.90661 65.17077 69.02259 73.68264 76.96877 84.03713
49 23.98282 27.24935 28.94065 31.55492 33.93031 36.81822 40.53442 48.33497 57.07863 62.03754 66.33865 70.22241 74.91947 78.23071 85.35056
50 24.67391 27.99075 29.70668 32.35736 34.76425 37.68865 41.44921 49.33494 58.16380 63.16712 67.50481 71.42020 76.15389 79.48998 86.66082
51 25.36802 28.73471 30.47505 33.16179 35.59986 38.56038 42.36486 50.33491 59.24811 64.29540 68.66929 72.61599 77.38596 80.74666 87.96798
52 26.06508 29.48116 31.24567 33.96813 36.43709 39.43339 43.28135 51.33488 60.33158 65.42241 69.83216 73.80986 78.61576 82.00083 89.27215
53 26.76500 30.23003 32.01849 34.77633 37.27589 40.30762 44.19865 52.33485 61.41425 66.54820 70.99345 75.00186 79.84334 83.25255 90.57341
54 27.46770 30.98125 32.79345 35.58634 38.11622 41.18304 45.11674 53.33482 62.49613 67.67279 72.15322 76.19205 81.06877 84.50190 91.87185
55 28.17311 31.73476 33.57048 36.39811 38.95803 42.05962 46.03559 54.33479 63.57724 68.79621 73.31149 77.38047 82.29212 85.74895 93.16753
56 28.88116 32.49049 34.34952 37.21159 39.80128 42.93734 46.95518 55.33476 64.65762 69.91851 74.46832 78.56716 83.51343 86.99376 94.46054
57 29.59177 33.24838 35.13053 38.02674 40.64593 43.81615 47.87550 56.33474 65.73727 71.03971 75.62375 79.75219 84.73277 88.23638 95.75095
58 30.30488 34.00838 35.91346 38.84351 41.49195 44.69603 48.79653 57.33472 66.81621 72.15984 76.77780 80.93559 85.95018 89.47687 97.03883
59 31.02042 34.77043 36.69825 39.66186 42.33931 45.57695 49.71824 58.33469 67.89448 73.27893 77.93052 82.11741 87.16571 90.71529 98.32423
60 31.73834 35.53449 37.48485 40.48175 43.18796 46.45889 50.64062 59.33467 68.97207 74.39701 79.08194 83.29768 88.37942 91.95170 99.60723
61 32.45858 36.30050 38.27323 41.30314 44.03787 47.34182 51.56365 60.33465 70.04901 75.51409 80.23210 84.47644 89.59134 93.18614 100.88789
62 33.18107 37.06842 39.06333 42.12599 44.88902 48.22571 52.48732 61.33463 71.12532 76.63021 81.38102 85.65373 90.80153 94.41865 102.16625
63 33.90578 37.83819 39.85513 42.95028 45.74138 49.11054 53.41161 62.33461 72.20101 77.74538 82.52873 86.82959 92.01002 95.64930 103.44238
64 34.63264 38.60978 40.64856 43.77595 46.59491 49.99629 54.33650 63.33458 73.27609 78.85964 83.67526 88.00405 93.21686 96.87811 104.71633
65 35.36160 39.38314 41.44361 44.60299 47.44958 50.88294 55.26198 64.33456 74.35058 79.97300 84.82065 89.17715 94.42208 98.10514 105.98814
66 36.09262 40.15824 42.24023 45.43136 48.30538 51.77047 56.18805 65.33455 75.42450 81.08549 85.96491 90.34890 95.62572 99.33043 107.25788
67 36.82565 40.93502 43.03838 46.26103 49.16227 52.65885 57.11467 66.33453 76.49785 82.19711 87.10807 91.51936 96.82782 100.55401 108.52558
68 37.56065 41.71347 43.83803 47.09198 50.02023 53.54807 58.04185 67.33451 77.57065 83.30790 88.25016 92.68854 98.02840 101.77592 109.79130
69 38.29757 42.49353 44.63916 47.92416 50.87924 54.43810 58.96957 68.33449 78.64291 84.41787 89.39121 93.85647 99.22752 102.99621 111.05507
70 39.03638 43.27518 45.44172 48.75757 51.73928 55.32894 59.89781 69.33448 79.71465 85.52704 90.53123 95.02318 100.42518 104.21490 112.31693
71 39.77703 44.05838 46.24568 49.59216 52.60032 56.22056 60.82657 70.33446 80.78587 86.63543 91.67024 96.18870 101.62144 105.43203 113.57694
72 40.51948 44.84310 47.05103 50.42792 53.46233 57.11295 61.75583 71.33445 81.85659 87.74305 92.80827 97.35305 102.81631 106.64763 114.83512
73 41.26370 45.62930 47.85772 51.26481 54.32531 58.00609 62.68559 72.33443 82.92681 88.84992 93.94534 98.51626 104.00983 107.86174 116.09151
74 42.00965 46.41696 48.66573 52.10283 55.18923 58.89996 63.61584 73.33441 83.99655 89.95605 95.08147 99.67835 105.20203 109.07438 117.34616
75 42.75730 47.20605 49.47503 52.94194 56.05407 59.79456 64.54656 74.33440 85.06581 91.06146 96.21667 100.83934 106.39292 110.28558 118.59909
76 43.50662 47.99653 50.28560 53.78212 56.91982 60.68986 65.47774 75.33439 86.13461 92.16617 97.35097 101.99925 107.58254 111.49538 119.85035
77 44.25756 48.78839 51.09742 54.62336 57.78645 61.58585 66.40938 76.33437 87.20296 93.27018 98.48438 103.15811 108.77092 112.70380 121.09996
78 45.01011 49.58159 51.91045 55.46563 58.65395 62.48252 67.34146 77.33436 88.27086 94.37352 99.61693 104.31594 109.95807 113.91087 122.34795
79 45.76422 50.37612 52.72468 56.30890 59.52229 63.37986 68.27399 78.33435 89.33832 95.47619 100.74862 105.47275 111.14402 115.11661 123.59437
80 46.51988 51.17193 53.54008 57.15317 60.39148 64.27785 69.20694 79.33433 90.40535 96.57820 101.87947 106.62857 112.32879 116.32106 124.83922
81 47.27704 51.96902 54.35663 57.99842 61.26148 65.17647 70.14032 80.33432 91.47196 97.67958 103.00951 107.78341 113.51241 117.52422 126.08256
82 48.03569 52.76735 55.17431 58.84462 62.13229 66.07573 71.07410 81.33431 92.53816 98.78033 104.13874 108.93729 114.69489 118.72613 127.32440
83 48.79580 53.56691 55.99310 59.69175 63.00389 66.97560 72.00830 82.33430 93.60395 99.88046 105.26718 110.09024 115.87627 119.92682 128.56477
84 49.55734 54.36767 56.81298 60.53981 63.87626 67.87608 72.94289 83.33428 94.66934 100.97999 106.39484 111.24226 117.05654 121.12629 129.80369
85 50.32028 55.16960 57.63393 61.38878 64.74940 68.77716 73.87787 84.33427 95.73434 102.07892 107.52174 112.39337 118.23575 122.32458 131.04120
86 51.08460 55.97270 58.45593 62.23863 65.62328 69.67882 74.81324 85.33426 96.79896 103.17726 108.64789 113.54360 119.41390 123.52170 132.27732
87 51.85028 56.77694 59.27896 63.08935 66.49790 70.58105 75.74899 86.33425 97.86320 104.27504 109.77331 114.69295 120.59101 124.71768 133.51207
88 52.61730 57.58230 60.10301 63.94094 67.37324 71.48384 76.68511 87.33424 98.92707 105.37225 110.89800 115.84144 121.76711 125.91254 134.74548
89 53.38563 58.38876 60.92805 64.79336 68.24928 72.38720 77.62159 88.33423 99.99058 106.46890 112.02199 116.98908 122.94221 127.10628 135.97757
90 54.15524 59.19630 61.75408 65.64662 69.12603 73.29109 78.55843 89.33422 101.05372 107.56501 113.14527 118.13589 124.11632 128.29894 137.20835
91 54.92613 60.00491 62.58107 66.50069 70.00346 74.19552 79.49563 90.33421 102.11652 108.66058 114.26787 119.28189 125.28946 129.49053 138.43786
92 55.69826 60.81457 63.40901 67.35556 70.88157 75.10048 80.43317 91.33420 103.17896 109.75563 115.38979 120.42708 126.46166 130.68107 139.66612
93 56.47162 61.62525 64.23788 68.21123 71.76034 76.00596 81.37105 92.33419 104.24107 110.85015 116.51105 121.57148 127.63291 131.87058 140.89313
94 57.24619 62.43695 65.06767 69.06767 72.63977 76.91195 82.30927 93.33419 105.30284 111.94417 117.63165 122.71511 128.80325 133.05906 142.11894
95 58.02195 63.24965 65.89836 69.92487 73.51984 77.81844 83.24782 94.33417 106.36428 113.03769 118.75161 123.85797 129.97268 134.24655 143.34354
96 58.79888 64.06333 66.72994 70.78282 74.40054 78.72542 84.18669 95.33417 107.42540 114.13071 119.87094 125.00007 131.14122 135.43305 144.56697
97 59.57696 64.87797 67.56240 71.64152 75.28186 79.63289 85.12589 96.33416 108.48619 115.22324 120.98964 126.14144 132.30888 136.61858 145.78923
98 60.35617 65.69357 68.39572 72.50094 76.16379 80.54084 86.06540 97.33415 109.54667 116.31530 122.10773 127.28207 133.47567 137.80315 147.01036
99 61.13651 66.51011 69.22989 73.36108 77.04633 81.44925 87.00521 98.33414 110.60685 117.40688 123.22522 128.42199 134.64162 138.98678 148.23036
100 61.91794 67.32756 70.06490 74.22193 77.92947 82.35814 87.94534 99.33414 111.66671 118.49800 124.34211 129.56120 135.80672 140.16949 149.44925