Upper Tail Critical Values of Chi Square Distribution
One sided test Prob(χ2≤c) = p
Reference: NIST/SEMATECH e-Handbook of Statistical Methods |
| ν\p |
.9 |
.95 |
.975 |
.99 |
.995 |
.9975 |
.999 |
.9995 |
.99975 |
.9999 |
| 1 | 2.7055435 | 3.8414588 | 5.0238862 | 6.6348966 | 7.8794386 | 9.1405935 | 10.827566 | 12.115665 | 13.412148 | 15.136705 |
|---|
| 2 | 4.6051702 | 5.9914645 | 7.3777589 | 9.2103404 | 10.596635 | 11.982929 | 13.815511 | 15.201805 | 16.588099 | 18.420681 |
|---|
| 3 | 6.2513886 | 7.8147279 | 9.3484036 | 11.344867 | 12.838156 | 14.320347 | 16.266236 | 17.729996 | 19.187885 | 21.107513 |
|---|
| 4 | 7.7794403 | 9.4877290 | 11.143287 | 13.276704 | 14.860259 | 16.423936 | 18.466827 | 19.997355 | 21.517275 | 23.512742 |
|---|
| 5 | 9.2363569 | 11.070498 | 12.832502 | 15.086272 | 16.749602 | 18.385613 | 20.515006 | 22.105327 | 23.680983 | 25.744832 |
|---|
| 6 | 10.644641 | 12.591587 | 14.449375 | 16.811894 | 18.547584 | 20.249402 | 22.457744 | 24.102799 | 25.729594 | 27.856341 |
|---|
| 7 | 12.017037 | 14.067140 | 16.012764 | 18.475307 | 20.277740 | 22.040391 | 24.321886 | 26.017768 | 27.692135 | 29.877504 |
|---|
| 8 | 13.361566 | 15.507313 | 17.534546 | 20.090235 | 21.954955 | 23.774474 | 26.124482 | 27.868046 | 29.587105 | 31.827628 |
|---|
| 9 | 14.683657 | 16.918978 | 19.022768 | 21.665994 | 23.589351 | 25.462479 | 27.877165 | 29.665808 | 31.427163 | 33.719948 |
|---|
| 10 | 15.987179 | 18.307038 | 20.483177 | 23.209251 | 25.188180 | 27.112171 | 29.588298 | 31.419813 | 33.221430 | 35.564014 |
|---|
| 11 | 17.275009 | 19.675138 | 21.920049 | 24.724970 | 26.756849 | 28.729350 | 31.264134 | 33.136615 | 34.976737 | 37.366986 |
|---|
| 12 | 18.549348 | 21.026070 | 23.336664 | 26.216967 | 28.299519 | 30.318479 | 32.909490 | 34.821275 | 36.698362 | 39.134404 |
|---|
| 13 | 19.811929 | 22.362032 | 24.735605 | 27.688250 | 29.819471 | 31.883085 | 34.528179 | 36.477794 | 38.390482 | 40.870655 |
|---|
| 14 | 21.064144 | 23.684791 | 26.118948 | 29.141238 | 31.319350 | 33.426011 | 36.123274 | 38.109404 | 40.056473 | 42.579289 |
|---|
| 15 | 22.307130 | 24.995790 | 27.488393 | 30.577914 | 32.801321 | 34.949585 | 37.697298 | 39.718760 | 41.699110 | 44.263225 |
|---|
| 16 | 23.541829 | 26.296228 | 28.845351 | 31.999927 | 34.267187 | 36.455749 | 39.252355 | 41.308074 | 43.320706 | 45.924899 |
|---|
| 17 | 24.769035 | 27.587112 | 30.191009 | 33.408664 | 35.718466 | 37.946139 | 40.790217 | 42.879213 | 44.923215 | 47.566370 |
|---|
| 18 | 25.989423 | 28.869299 | 31.526378 | 34.805306 | 37.156451 | 39.422147 | 42.312396 | 44.433771 | 46.508306 | 49.189394 |
|---|
| 19 | 27.203571 | 30.143527 | 32.852327 | 36.190869 | 38.582257 | 40.884974 | 43.820196 | 45.973120 | 48.077414 | 50.795490 |
|---|
| 20 | 28.411981 | 31.410433 | 34.169607 | 37.566235 | 39.996846 | 42.335660 | 45.314747 | 47.498452 | 49.631790 | 52.385973 |
|---|
| 21 | 29.615089 | 32.670573 | 35.478876 | 38.932173 | 41.401065 | 43.775117 | 46.797038 | 49.010812 | 51.172528 | 53.962000 |
|---|
| 22 | 30.813282 | 33.924438 | 36.780712 | 40.289360 | 42.795655 | 45.204146 | 48.267942 | 50.511119 | 52.700591 | 55.524589 |
|---|
| 23 | 32.006900 | 35.172462 | 38.075627 | 41.638398 | 44.181275 | 46.623458 | 49.728232 | 52.000189 | 54.216836 | 57.074643 |
|---|
| 24 | 33.196244 | 36.415029 | 39.364077 | 42.979820 | 45.558512 | 48.033687 | 51.178598 | 53.478751 | 55.722025 | 58.612970 |
|---|
| 25 | 34.381587 | 37.652484 | 40.646469 | 44.314105 | 46.927890 | 49.435400 | 52.619656 | 54.947455 | 57.216843 | 60.140292 |
|---|
| 26 | 35.563171 | 38.885139 | 41.923170 | 45.641683 | 48.289882 | 50.829106 | 54.051962 | 56.406890 | 58.701907 | 61.657261 |
|---|
| 27 | 36.741217 | 40.113272 | 43.194511 | 46.962942 | 49.644915 | 52.215269 | 55.476020 | 57.857586 | 60.177772 | 63.164467 |
|---|
| 28 | 37.915923 | 41.337138 | 44.460792 | 48.278236 | 50.993376 | 53.594306 | 56.892285 | 59.300025 | 61.644946 | 64.662446 |
|---|
| 29 | 39.087470 | 42.556968 | 45.722286 | 49.587884 | 52.335618 | 54.966599 | 58.301173 | 60.734647 | 63.103890 | 66.151685 |
|---|
| 30 | 40.256024 | 43.772972 | 46.979242 | 50.892181 | 53.671962 | 56.332496 | 59.703064 | 62.161853 | 64.555025 | 67.632630 |
|---|
| 31 | 41.421736 | 44.985343 | 48.231890 | 52.191395 | 55.002704 | 57.692316 | 61.098306 | 63.582011 | 65.998738 | 69.105692 |
|---|
| 32 | 42.584745 | 46.194260 | 49.480438 | 53.485772 | 56.328115 | 59.046352 | 62.487219 | 64.995459 | 67.435386 | 70.571248 |
|---|
| 33 | 43.745180 | 47.399884 | 50.725080 | 54.775540 | 57.648445 | 60.394877 | 63.870099 | 66.402511 | 68.865295 | 72.029644 |
|---|
| 34 | 44.903158 | 48.602367 | 51.965995 | 56.060909 | 58.963926 | 61.738139 | 65.247217 | 67.803455 | 70.288770 | 73.481203 |
|---|
| 35 | 46.058788 | 49.801850 | 53.203349 | 57.342073 | 60.274771 | 63.076371 | 66.618829 | 69.198559 | 71.706093 | 74.926222 |
|---|
| 36 | 47.212174 | 50.998460 | 54.437294 | 58.619215 | 61.581179 | 64.409788 | 67.985168 | 70.588070 | 73.117523 | 76.364979 |
|---|
| 37 | 48.363408 | 52.192320 | 55.667973 | 59.892500 | 62.883335 | 65.738589 | 69.346452 | 71.972221 | 74.523306 | 77.797732 |
|---|
| 38 | 49.512580 | 53.383541 | 56.895521 | 61.162087 | 64.181412 | 67.062963 | 70.702887 | 73.351228 | 75.923667 | 79.224721 |
|---|
| 39 | 50.659770 | 54.572228 | 58.120060 | 62.428121 | 65.475571 | 68.383082 | 72.054663 | 74.725292 | 77.318819 | 80.646171 |
|---|
| 40 | 51.805057 | 55.758479 | 59.341707 | 63.690740 | 66.765962 | 69.699112 | 73.401958 | 76.094602 | 78.708961 | 82.062294 |
|---|
| 41 | 52.948512 | 56.942387 | 60.560572 | 64.950071 | 68.052726 | 71.011203 | 74.744938 | 77.459336 | 80.094279 | 83.473286 |
|---|
| 42 | 54.090202 | 58.124038 | 61.776756 | 66.206236 | 69.335997 | 72.319502 | 76.083763 | 78.819659 | 81.474948 | 84.879334 |
|---|
| 43 | 55.230192 | 59.303512 | 62.990356 | 67.459348 | 70.615900 | 73.624142 | 77.418578 | 80.175728 | 82.851132 | 86.280612 |
|---|
| 44 | 56.368541 | 60.480887 | 64.201461 | 68.709513 | 71.892550 | 74.925251 | 78.749524 | 81.527691 | 84.222987 | 87.677284 |
|---|
| 45 | 57.505305 | 61.656233 | 65.410159 | 69.956832 | 73.166061 | 76.222950 | 80.076732 | 82.875687 | 85.590660 | 89.069507 |
|---|
| 46 | 58.640537 | 62.829620 | 66.616529 | 71.201400 | 74.436535 | 77.517351 | 81.400326 | 84.219847 | 86.954288 | 90.457427 |
|---|
| 47 | 59.774289 | 64.001112 | 67.820647 | 72.443307 | 75.704073 | 78.808562 | 82.720423 | 85.560295 | 88.314003 | 91.841183 |
|---|
| 48 | 60.906607 | 65.170769 | 69.022586 | 73.682639 | 76.968768 | 80.096684 | 84.037134 | 86.897150 | 89.669928 | 93.220906 |
|---|
| 49 | 62.037537 | 66.338649 | 70.222414 | 74.919474 | 78.230708 | 81.381815 | 85.350565 | 88.230522 | 91.022181 | 94.596722 |
|---|
| 50 | 63.167121 | 67.504807 | 71.420195 | 76.153891 | 79.489978 | 82.664045 | 86.660815 | 89.560519 | 92.370873 | 95.968748 |
|---|
| 51 | 64.295400 | 68.669294 | 72.615992 | 77.385962 | 80.746659 | 83.943461 | 87.967980 | 90.887240 | 93.716111 | 97.337098 |
|---|
| 52 | 65.422413 | 69.832160 | 73.809863 | 78.615756 | 82.000826 | 85.220146 | 89.272151 | 92.210781 | 95.057996 | 98.701879 |
|---|
| 53 | 66.548197 | 70.993453 | 75.001864 | 79.843338 | 83.252551 | 86.494179 | 90.573412 | 93.531234 | 96.396622 | 100.06319 |
|---|
| 54 | 67.672786 | 72.153216 | 76.192048 | 81.068772 | 84.501905 | 87.765634 | 91.871847 | 94.848686 | 97.732083 | 101.42113 |
|---|
| 55 | 68.796214 | 73.311493 | 77.380466 | 82.292117 | 85.748952 | 89.034583 | 93.167533 | 96.163219 | 99.064465 | 102.77580 |
|---|
| 56 | 69.918513 | 74.468324 | 78.567165 | 83.513430 | 86.993755 | 90.301093 | 94.460545 | 97.474912 | 100.39385 | 104.12728 |
|---|
| 57 | 71.039713 | 75.623748 | 79.752192 | 84.732766 | 88.236375 | 91.565231 | 95.750954 | 98.783842 | 101.72032 | 105.47565 |
|---|
| 58 | 72.159844 | 76.777803 | 80.935592 | 85.950176 | 89.476870 | 92.827059 | 97.038829 | 100.09008 | 103.04395 | 106.82100 |
|---|
| 59 | 73.278932 | 77.930524 | 82.117406 | 87.165711 | 90.715293 | 94.086636 | 98.324234 | 101.39370 | 104.36482 | 108.16340 |
|---|
| 60 | 74.397006 | 79.081944 | 83.297675 | 88.379419 | 91.951698 | 95.344019 | 99.607233 | 102.69476 | 105.68299 | 109.50293 |
|---|
| 61 | 75.514089 | 80.232098 | 84.476437 | 89.591344 | 93.186135 | 96.599263 | 100.88789 | 103.99332 | 106.99853 | 110.83966 |
|---|
| 62 | 76.630208 | 81.381015 | 85.653731 | 90.801532 | 94.418653 | 97.852420 | 102.16625 | 105.28946 | 108.31150 | 112.17366 |
|---|
| 63 | 77.745385 | 82.528727 | 86.829591 | 92.010024 | 95.649297 | 99.103542 | 103.44238 | 106.58322 | 109.62197 | 113.50499 |
|---|
| 64 | 78.859642 | 83.675261 | 88.004051 | 93.216860 | 96.878113 | 100.35268 | 104.71633 | 107.87467 | 110.92999 | 114.83372 |
|---|
| 65 | 79.973003 | 84.820645 | 89.177145 | 94.422079 | 98.105144 | 101.59987 | 105.98814 | 109.16385 | 112.23563 | 116.15991 |
|---|
| 66 | 81.085486 | 85.964907 | 90.348904 | 95.625719 | 99.330430 | 102.84516 | 107.25788 | 110.45083 | 113.53893 | 117.48361 |
|---|
| 67 | 82.197113 | 87.108072 | 91.519359 | 96.827816 | 100.55401 | 104.08861 | 108.52558 | 111.73564 | 114.83996 | 118.80488 |
|---|
| 68 | 83.307902 | 88.250164 | 92.688539 | 98.028403 | 101.77592 | 105.33024 | 109.79130 | 113.01834 | 116.13875 | 120.12378 |
|---|
| 69 | 84.417873 | 89.391208 | 93.856471 | 99.227515 | 102.99621 | 106.57010 | 111.05507 | 114.29897 | 117.43536 | 121.44035 |
|---|
| 70 | 85.527043 | 90.531225 | 95.023184 | 100.42518 | 104.21490 | 107.80822 | 112.31693 | 115.57758 | 118.72984 | 122.75465 |
|---|
| 71 | 86.635429 | 91.670239 | 96.188704 | 101.62144 | 105.43203 | 109.04465 | 113.57694 | 116.85422 | 120.02224 | 124.06673 |
|---|
| 72 | 87.743048 | 92.808270 | 97.353055 | 102.81631 | 106.64763 | 110.27942 | 114.83512 | 118.12891 | 121.31258 | 125.37663 |
|---|
| 73 | 88.849916 | 93.945340 | 98.516262 | 104.00983 | 107.86174 | 111.51256 | 116.09151 | 119.40171 | 122.60093 | 126.68440 |
|---|
| 74 | 89.956048 | 95.081467 | 99.678349 | 105.20203 | 109.07438 | 112.74411 | 117.34616 | 120.67266 | 123.88731 | 127.99007 |
|---|
| 75 | 91.061460 | 96.216671 | 100.83934 | 106.39292 | 110.28558 | 113.97409 | 118.59909 | 121.94178 | 125.17178 | 129.29370 |
|---|
| 76 | 92.166166 | 97.350970 | 101.99925 | 107.58254 | 111.49538 | 115.20255 | 119.85035 | 123.20912 | 126.45436 | 130.59533 |
|---|
| 77 | 93.270180 | 98.484383 | 103.15811 | 108.77092 | 112.70380 | 116.42951 | 121.09996 | 124.47471 | 127.73509 | 131.89498 |
|---|
| 78 | 94.373516 | 99.616927 | 104.31594 | 109.95807 | 113.91087 | 117.65500 | 122.34795 | 125.73858 | 129.01401 | 133.19271 |
|---|
| 79 | 95.476186 | 100.74862 | 105.47275 | 111.14402 | 115.11661 | 118.87905 | 123.59437 | 127.00077 | 130.29116 | 134.48854 |
|---|
| 80 | 96.578204 | 101.87947 | 106.62857 | 112.32879 | 116.32106 | 120.10168 | 124.83922 | 128.26131 | 131.56656 | 135.78252 |
|---|
| 81 | 97.679581 | 103.00951 | 107.78341 | 113.51241 | 117.52422 | 121.32292 | 126.08256 | 129.52023 | 132.84026 | 137.07468 |
|---|
| 82 | 98.780329 | 104.13874 | 108.93729 | 114.69489 | 118.72613 | 122.54280 | 127.32440 | 130.77756 | 134.11228 | 138.36504 |
|---|
| 83 | 99.880461 | 105.26718 | 110.09024 | 115.87627 | 119.92682 | 123.76134 | 128.56477 | 132.03333 | 135.38264 | 139.65365 |
|---|
| 84 | 100.97999 | 106.39484 | 111.24226 | 117.05654 | 121.12629 | 124.97857 | 129.80369 | 133.28757 | 136.65139 | 140.94054 |
|---|
| 85 | 102.07892 | 107.52174 | 112.39337 | 118.23575 | 122.32458 | 126.19451 | 131.04120 | 134.54030 | 137.91855 | 142.22573 |
|---|
| 86 | 103.17726 | 108.64789 | 113.54360 | 119.41390 | 123.52170 | 127.40919 | 132.27732 | 135.79156 | 139.18415 | 143.50926 |
|---|
| 87 | 104.27504 | 109.77331 | 114.69295 | 120.59101 | 124.71768 | 128.62261 | 133.51207 | 137.04136 | 140.44822 | 144.79115 |
|---|
| 88 | 105.37225 | 110.89800 | 115.84144 | 121.76711 | 125.91254 | 129.83482 | 134.74548 | 138.28973 | 141.71077 | 146.07143 |
|---|
| 89 | 106.46890 | 112.02199 | 116.98908 | 122.94221 | 127.10628 | 131.04582 | 135.97757 | 139.53669 | 142.97185 | 147.35014 |
|---|
| 90 | 107.56501 | 113.14527 | 118.13589 | 124.11632 | 128.29894 | 132.25563 | 137.20835 | 140.78228 | 144.23146 | 148.62729 |
|---|
| 91 | 108.66058 | 114.26787 | 119.28189 | 125.28946 | 129.49053 | 133.46429 | 138.43786 | 142.02651 | 145.48964 | 149.90291 |
|---|
| 92 | 109.75563 | 115.38979 | 120.42708 | 126.46166 | 130.68107 | 134.67180 | 139.66612 | 143.26940 | 146.74642 | 151.17703 |
|---|
| 93 | 110.85015 | 116.51105 | 121.57148 | 127.63291 | 131.87058 | 135.87818 | 140.89313 | 144.51098 | 148.00180 | 152.44967 |
|---|
| 94 | 111.94417 | 117.63165 | 122.71511 | 128.80325 | 133.05906 | 137.08346 | 142.11894 | 145.75127 | 149.25582 | 153.72085 |
|---|
| 95 | 113.03769 | 118.75161 | 123.85797 | 129.97268 | 134.24655 | 138.28765 | 143.34354 | 146.99028 | 150.50850 | 154.99061 |
|---|
| 96 | 114.13071 | 119.87094 | 125.00007 | 131.14122 | 135.43305 | 139.49076 | 144.56697 | 148.22804 | 151.75985 | 156.25895 |
|---|
| 97 | 115.22324 | 120.98964 | 126.14144 | 132.30888 | 136.61858 | 140.69282 | 145.78923 | 149.46457 | 153.00990 | 157.52590 |
|---|
| 98 | 116.31530 | 122.10773 | 127.28207 | 133.47567 | 137.80315 | 141.89384 | 147.01036 | 150.69989 | 154.25867 | 158.79149 |
|---|
| 99 | 117.40688 | 123.22522 | 128.42199 | 134.64162 | 138.98678 | 143.09384 | 148.23036 | 151.93401 | 155.50618 | 160.05574 |
|---|
| 100 | 118.49800 | 124.34211 | 129.56120 | 135.80672 | 140.16949 | 144.29283 | 149.44925 | 153.16696 | 156.75245 | 161.31866 |
|---|
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| TXT Version: ChiSquare-B.txt |
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