Phan vi Chi-square

Bảng giá trị phân vị Chi-Square c2 (n;a) n/a 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0.005 7.87944 10.59663 12.83816 14.86026 16.74960 18.54758 20.27774 21.95495 23.58935 25.18818 26.75685 28.29952 29.81947 31.31935 32.80132 34.26719 35.71847 37.15645 38.58226 39.99685 41.40106 42.79565 44.18128 45.55851 46.92789 48.28988 49.64492 50.99338 52.33562 53.67196 55.00270 56.32811 57.64845 58.96393 0.01 6.63490 9.21034 11.34487 13.27670 15.08627 16.81189 18.47531 20.09024 21.66599 23.20925 24.72497 26.21697 27.68825 29.14124 30.57791 31.99993 33.40866 34.80531 36.19087 37.56623 38.93217 40.28936 41.63840 42.97982 44.31410 45.64168 46.96294 48.27824 49.58788 50.89218 52.19139 53.48577 54.77554 56.06091 0.02 5.41189 7.82405 9.83741 11.66784 13.38822 15.03321 16.62242 18.16823 19.67902 21.16077 22.61794 24.05396 25.47151 26.87276 28.25950 29.63318 30.99505 32.34616 33.68743 35.01963 36.34345 37.65950 38.96831 40.27036 41.56607 42.85583 44.13999 45.41885 46.69270 47.96180 49.22640 50.48670 51.74292 52.99524 0.025 5.02389 7.37776 9.34840 11.14329 12.83250 14.44938 16.01276 17.53455 19.02277 20.48318 21.92005 23.33666 24.73560 26.11895 27.48839 28.84535 30.19101 31.52638 32.85233 34.16961 35.47888 36.78071 38.07563 39.36408 40.64647 41.92317 43.19451 44.46079 45.72229 46.97924 48.23189 49.48044 50.72508 51.96600 0.05 3.84146 5.99146 7.81473 9.48773 11.07050 12.59159 14.06714 15.50731 16.91898 18.30704 19.67514 21.02607 22.36203 23.68479 24.99579 26.29623 27.58711 28.86930 30.14353 31.41043 32.67057 33.92444 35.17246 36.41503 37.65248 38.88514 40.11327 41.33714 42.55697 43.77297 44.98534 46.19426 47.39988 48.60237 0.1 2.70554 4.60517 6.25139 7.77944 9.23636 10.64464 12.01704 13.36157 14.68366 15.98718 17.27501 18.54935 19.81193 21.06414 22.30713 23.54183 24.76904 25.98942 27.20357 28.41198 29.61509 30.81328 32.00690 33.19624 34.38159 35.56317 36.74122 37.91592 39.08747 40.25602 41.42174 42.58475 43.74518 44.90316 0.9 0.01579 0.21072 0.58437 1.06362 1.61031 2.20413 2.83311 3.48954 4.16816 4.86518 5.57778 6.30380 7.04150 7.78953 8.54676 9.31224 10.08519 10.86494 11.65091 12.44261 13.23960 14.04149 14.84796 15.65868 16.47341 17.29189 18.11390 18.93924 19.76774 20.59923 21.43356 22.27059 23.11020 23.95225 0.95 0.00393 0.10259 0.35185 0.71072 1.14548 1.63538 2.16735 2.73264 3.32511 3.94030 4.57481 5.22603 5.89186 6.57063 7.26094 7.96165 8.67176 9.39046 10.11701 10.85081 11.59131 12.33801 13.09051 13.84843 14.61141 15.37916 16.15140 16.92788 17.70837 18.49266 19.28057 20.07191 20.86653 21.66428 0.975 0.00098 0.05064 0.21580 0.48442 0.83121 1.23734 1.68987 2.17973 2.70039 3.24697 3.81575 4.40379 5.00875 5.62873 6.26214 6.90766 7.56419 8.23075 8.90652 9.59078 10.28290 10.98232 11.68855 12.40115 13.11972 13.84391 14.57338 15.30786 16.04707 16.79077 17.53874 18.29076 19.04666 19.80625 0.98 0.00063 0.04041 0.18483 0.42940 0.75189 1.13442 1.56429 2.03248 2.53238 3.05905 3.60869 4.17829 4.76545 5.36820 5.98492 6.61424 7.25500 7.90622 8.56704 9.23670 9.91456 10.60003 11.29260 11.99182 12.69727 13.40858 14.12542 14.84748 15.57448 16.30617 17.04232 17.78271 18.52715 19.27544 0.99 0.00016 0.02010 0.11483 0.29711 0.55430 0.87209 1.23904 1.64650 2.08790 2.55821 3.05348 3.57057 4.10692 4.66043 5.22935 5.81221 6.40776 7.01491 7.63273 8.26040 8.89720 9.54249 10.19572 10.85636 11.52398 12.19815 12.87850 13.56471 14.25645 14.95346 15.65546 16.36222 17.07351 17.78915 0.995 0.00004 0.01003 0.07172 0.20699 0.41174 0.67573 0.98926 1.34441 1.73493 2.15586 2.60322 3.07382 3.56503 4.07467 4.60092 5.14221 5.69722 6.26480 6.84397 7.43384 8.03365 8.64272 9.26042 9.88623 10.51965 11.16024 11.80759 12.46134 13.12115 13.78672 14.45777 15.13403 15.81527 16.50127 n/a 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 0.005 0.01 60.27477 57.34207 61.58118 58.61921 62.88334 59.89250 64.18141 61.16209 65.47557 62.42812 66.76596 63.69074 68.05273 64.95007 69.33600 66.20624 70.61590 67.45935 71.89255 68.70951 73.16606 69.95683 74.43654 71.20140 75.70407 72.44331 76.96877 73.68264 78.23071 74.91947 79.48998 76.15389 80.74666 77.38596 82.00083 78.61576 83.25255 79.84334 84.50190 81.06877 85.74895 82.29212 86.99376 83.51343 88.23638 84.73277 89.47687 85.95018 90.71529 87.16571 91.95170 88.37942 93.18614 89.59134 94.41865 90.80153 95.64930 92.01002 96.87811 93.21686 98.10514 94.42208 99.33043 95.62572 100.55401 96.82782 101.77592 98.02840 102.99621 99.22752 104.21490 100.42518 0.02 54.24383 55.48886 56.73047 57.96880 59.20398 60.43613 61.66538 62.89181 64.11554 65.33667 66.55527 67.77143 68.98524 70.19676 71.40608 72.61325 73.81835 75.02143 76.22255 77.42177 78.61914 79.81471 81.00854 82.20065 83.39111 84.57995 85.76721 86.95294 88.13716 89.31992 90.50124 91.68117 92.85974 94.03697 95.21289 96.38754 0.025 53.20335 54.43729 55.66797 56.89552 58.12006 59.34171 60.56057 61.77676 62.99036 64.20146 65.41016 66.61653 67.82065 69.02259 70.22241 71.42020 72.61599 73.80986 75.00186 76.19205 77.38047 78.56716 79.75219 80.93559 82.11741 83.29768 84.47644 85.65373 86.82959 88.00405 89.17715 90.34890 91.51936 92.68854 93.85647 95.02318 0.05 49.80185 50.99846 52.19232 53.38354 54.57223 55.75848 56.94239 58.12404 59.30351 60.48089 61.65623 62.82962 64.00111 65.17077 66.33865 67.50481 68.66929 69.83216 70.99345 72.15322 73.31149 74.46832 75.62375 76.77780 77.93052 79.08194 80.23210 81.38102 82.52873 83.67526 84.82065 85.96491 87.10807 88.25016 89.39121 90.53123 0.1 46.05879 47.21217 48.36341 49.51258 50.65977 51.80506 52.94851 54.09020 55.23019 56.36854 57.50530 58.64054 59.77429 60.90661 62.03754 63.16712 64.29540 65.42241 66.54820 67.67279 68.79621 69.91851 71.03971 72.15984 73.27893 74.39701 75.51409 76.63021 77.74538 78.85964 79.97300 81.08549 82.19711 83.30790 84.41787 85.52704 0.9 24.79666 25.64330 26.49209 27.34295 28.19579 29.05052 29.90709 30.76542 31.62545 32.48713 33.35038 34.21517 35.08143 35.94913 36.81822 37.68865 38.56038 39.43339 40.30762 41.18304 42.05962 42.93734 43.81615 44.69603 45.57695 46.45889 47.34182 48.22571 49.11054 49.99629 50.88294 51.77047 52.65885 53.54807 54.43810 55.32894 0.95 22.46502 23.26861 24.07494 24.88390 25.69539 26.50930 27.32555 28.14405 28.96472 29.78748 30.61226 31.43900 32.26762 33.09808 33.93031 34.76425 35.59986 36.43709 37.27589 38.11622 38.95803 39.80128 40.64593 41.49195 42.33931 43.18796 44.03787 44.88902 45.74138 46.59491 47.44958 48.30538 49.16227 50.02023 50.87924 51.73928 0.975 20.56938 21.33588 22.10563 22.87848 23.65432 24.43304 25.21452 25.99866 26.78537 27.57457 28.36615 29.16005 29.95620 30.75451 31.55492 32.35736 33.16179 33.96813 34.77633 35.58634 36.39811 37.21159 38.02674 38.84351 39.66186 40.48175 41.30314 42.12599 42.95028 43.77595 44.60299 45.43136 46.26103 47.09198 47.92416 48.75757 0.98 20.02743 20.78295 21.54185 22.30401 23.06929 23.83757 24.60875 25.38271 26.15935 26.93859 27.72034 28.50450 29.29101 30.07979 30.87076 31.66386 32.45903 33.25621 34.05533 34.85635 35.65921 36.46385 37.27025 38.07833 38.88807 39.69942 40.51235 41.32680 42.14275 42.96016 43.77900 44.59922 45.42081 46.24373 47.06795 47.89345 0.99 18.50893 19.23268 19.96023 20.69144 21.42616 22.16426 22.90561 23.65009 24.39760 25.14803 25.90127 26.65724 27.41585 28.17701 28.94065 29.70668 30.47505 31.24567 32.01849 32.79345 33.57048 34.34952 35.13053 35.91346 36.69825 37.48485 38.27323 39.06333 39.85513 40.64856 41.44361 42.24023 43.03838 43.83803 44.63916 45.44172 0.995 17.19182 17.88673 18.58581 19.28891 19.99587 20.70654 21.42078 22.13846 22.85947 23.58369 24.31101 25.04133 25.77456 26.51059 27.24935 27.99075 28.73471 29.48116 30.23003 30.98125 31.73476 32.49049 33.24838 34.00838 34.77043 35.53449 36.30050 37.06842 37.83819 38.60978 39.38314 40.15824 40.93502 41.71347 42.49353 43.27518 n/a 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0.005 105.43203 106.64763 107.86174 109.07438 110.28558 111.49538 112.70380 113.91087 115.11661 116.32106 117.52422 118.72613 119.92682 121.12629 122.32458 123.52170 124.71768 125.91254 127.10628 128.29894 129.49053 130.68107 131.87058 133.05906 134.24655 135.43305 136.61858 137.80315 138.98678 0.01 101.62144 102.81631 104.00983 105.20203 106.39292 107.58254 108.77092 109.95807 111.14402 112.32879 113.51241 114.69489 115.87627 117.05654 118.23575 119.41390 120.59101 121.76711 122.94221 124.11632 125.28946 126.46166 127.63291 128.80325 129.97268 131.14122 132.30888 133.47567 134.64162 0.02 97.56093 98.73310 99.90408 101.07388 102.24253 103.41006 104.57648 105.74182 106.90610 108.06934 109.23155 110.39277 111.55299 112.71225 113.87057 115.02795 116.18441 117.33997 118.49465 119.64846 120.80141 121.95352 123.10480 124.25527 125.40493 126.55381 127.70191 128.84925 129.99583 0.025 96.18870 97.35305 98.51626 99.67835 100.83934 101.99925 103.15811 104.31594 105.47275 106.62857 107.78341 108.93729 110.09024 111.24226 112.39337 113.54360 114.69295 115.84144 116.98908 118.13589 119.28189 120.42708 121.57148 122.71511 123.85797 125.00007 126.14144 127.28207 128.42199 0.05 91.67024 92.80827 93.94534 95.08147 96.21667 97.35097 98.48438 99.61693 100.74862 101.87947 103.00951 104.13874 105.26718 106.39484 107.52174 108.64789 109.77331 110.89800 112.02199 113.14527 114.26787 115.38979 116.51105 117.63165 118.75161 119.87094 120.98964 122.10773 123.22522 0.1 86.63543 87.74305 88.84992 89.95605 91.06146 92.16617 93.27018 94.37352 95.47619 96.57820 97.67958 98.78033 99.88046 100.97999 102.07892 103.17726 104.27504 105.37225 106.46890 107.56501 108.66058 109.75563 110.85015 111.94417 113.03769 114.13071 115.22324 116.31530 117.40688 0.9 56.22056 57.11295 58.00609 58.89996 59.79456 60.68986 61.58585 62.48252 63.37986 64.27785 65.17647 66.07573 66.97560 67.87608 68.77716 69.67882 70.58105 71.48384 72.38720 73.29109 74.19552 75.10048 76.00596 76.91195 77.81844 78.72542 79.63289 80.54084 81.44925 0.95 52.60032 53.46233 54.32531 55.18923 56.05407 56.91982 57.78645 58.65395 59.52229 60.39148 61.26148 62.13229 63.00389 63.87626 64.74940 65.62328 66.49790 67.37324 68.24928 69.12603 70.00346 70.88157 71.76034 72.63977 73.51984 74.40054 75.28186 76.16379 77.04633 0.975 49.59216 50.42792 51.26481 52.10283 52.94194 53.78212 54.62336 55.46563 56.30890 57.15317 57.99842 58.84462 59.69175 60.53981 61.38878 62.23863 63.08935 63.94094 64.79336 65.64662 66.50069 67.35556 68.21123 69.06767 69.92487 70.78282 71.64152 72.50094 73.36108 0.98 48.72019 49.54814 50.37730 51.20762 52.03909 52.87168 53.70537 54.54014 55.37598 56.21285 57.05073 57.88962 58.72949 59.57033 60.41211 61.25482 62.09845 62.94298 63.78838 64.63466 65.48179 66.32976 67.17856 68.02817 68.87857 69.72977 70.58174 71.43447 72.28796 0.99 46.24568 47.05103 47.85772 48.66573 49.47503 50.28560 51.09742 51.91045 52.72468 53.54008 54.35663 55.17431 55.99310 56.81298 57.63393 58.45593 59.27896 60.10301 60.92805 61.75408 62.58107 63.40901 64.23788 65.06767 65.89836 66.72994 67.56240 68.39572 69.22989 0.995 44.05838 44.84310 45.62930 46.41696 47.20605 47.99653 48.78839 49.58159 50.37612 51.17193 51.96902 52.76735 53.56691 54.36767 55.16960 55.97270 56.77694 57.58230 58.38876 59.19630 60.00491 60.81457 61.62525 62.43695 63.24965 64.06333 64.87797 65.69357 66.51011