The SAS System 1 09:18 Monday, December 15, 2003 OBS d.f. chi(0.25) chi(0.10) chi(0.050) chi(0.025) chi(0.010) chi(0.005) 1 1 1.3233 2.7055 3.8415 5.0239 6.6349 7.8794 2 2 2.7726 4.6052 5.9915 7.3778 9.2103 10.5966 3 3 4.1083 6.2514 7.8147 9.3484 11.3449 12.8382 4 4 5.3853 7.7794 9.4877 11.1433 13.2767 14.8603 5 5 6.6257 9.2364 11.0705 12.8325 15.0863 16.7496 6 6 7.8408 10.6446 12.5916 14.4494 16.8119 18.5476 7 7 9.0371 12.0170 14.0671 16.0128 18.4753 20.2777 8 8 10.2189 13.3616 15.5073 17.5345 20.0902 21.9550 9 9 11.3888 14.6837 16.9190 19.0228 21.6660 23.5894 10 10 12.5489 15.9872 18.3070 20.4832 23.2093 25.1882 11 11 13.7007 17.2750 19.6751 21.9200 24.7250 26.7568 12 12 14.8454 18.5493 21.0261 23.3367 26.2170 28.2995 13 13 15.9839 19.8119 22.3620 24.7356 27.6882 29.8195 14 14 17.1169 21.0641 23.6848 26.1189 29.1412 31.3193 15 15 18.2451 22.3071 24.9958 27.4884 30.5779 32.8013 16 16 19.3689 23.5418 26.2962 28.8454 31.9999 34.2672 17 17 20.4887 24.7690 27.5871 30.1910 33.4087 35.7185 18 18 21.6049 25.9894 28.8693 31.5264 34.8053 37.1565 19 19 22.7178 27.2036 30.1435 32.8523 36.1909 38.5823 20 20 23.8277 28.4120 31.4104 34.1696 37.5662 39.9968 21 21 24.9348 29.6151 32.6706 35.4789 38.9322 41.4011 22 22 26.0393 30.8133 33.9244 36.7807 40.2894 42.7957 23 23 27.1413 32.0069 35.1725 38.0756 41.6384 44.1813 24 24 28.2412 33.1962 36.4150 39.3641 42.9798 45.5585 25 25 29.3389 34.3816 37.6525 40.6465 44.3141 46.9279 26 26 30.4346 35.5632 38.8851 41.9232 45.6417 48.2899 27 27 31.5284 36.7412 40.1133 43.1945 46.9629 49.6449 28 28 32.6205 37.9159 41.3371 44.4608 48.2782 50.9934 29 29 33.7109 39.0875 42.5570 45.7223 49.5879 52.3356 30 30 34.7997 40.2560 43.7730 46.9792 50.8922 53.6720 31 31 35.8871 41.4217 44.9853 48.2319 52.1914 55.0027 32 32 36.9730 42.5847 46.1943 49.4804 53.4858 56.3281 33 33 38.0575 43.7452 47.3999 50.7251 54.7755 57.6484 34 34 39.1408 44.9032 48.6024 51.9660 56.0609 58.9639 35 35 40.2228 46.0588 49.8018 53.2033 57.3421 60.2748 36 36 41.3036 47.2122 50.9985 54.4373 58.6192 61.5812 37 37 42.3833 48.3634 52.1923 55.6680 59.8925 62.8833 38 38 43.4619 49.5126 53.3835 56.8955 61.1621 64.1814 39 39 44.5395 50.6598 54.5722 58.1201 62.4281 65.4756 40 40 45.6160 51.8051 55.7585 59.3417 63.6907 66.7660 41 41 46.6916 52.9485 56.9424 60.5606 64.9501 68.0527 42 42 47.7663 54.0902 58.1240 61.7768 66.2062 69.3360 43 43 48.8400 55.2302 59.3035 62.9904 67.4593 70.6159 44 44 49.9129 56.3685 60.4809 64.2015 68.7095 71.8926 45 45 50.9849 57.5053 61.6562 65.4102 69.9568 73.1661 46 46 52.0562 58.6405 62.8296 66.6165 71.2014 74.4365 47 47 53.1267 59.7743 64.0011 67.8206 72.4433 75.7041 48 48 54.1964 60.9066 65.1708 69.0226 73.6826 76.9688 49 49 55.2653 62.0375 66.3386 70.2224 74.9195 78.2307 50 50 56.3336 63.1671 67.5048 71.4202 76.1539 79.4900 51 51 57.4012 64.2954 68.6693 72.6160 77.3860 80.7467 52 52 58.4681 65.4224 69.8322 73.8099 78.6158 82.0008 53 53 59.5344 66.5482 70.9935 75.0019 79.8433 83.2526 54 54 60.6000 67.6728 72.1532 76.1920 81.0688 84.5019 55 55 61.6650 68.7962 73.3115 77.3805 82.2921 85.7490 The SAS System 2 09:18 Monday, December 15, 2003 OBS d.f. chi(0.25) chi(0.10) chi(0.050) chi(0.025) chi(0.010) chi(0.005) 56 56 62.729 69.919 74.468 78.567 83.513 86.994 57 57 63.793 71.040 75.624 79.752 84.733 88.236 58 58 64.857 72.160 76.778 80.936 85.950 89.477 59 59 65.919 73.279 77.931 82.117 87.166 90.715 60 60 66.981 74.397 79.082 83.298 88.379 91.952 61 61 68.043 75.514 80.232 84.476 89.591 93.186 62 62 69.104 76.630 81.381 85.654 90.802 94.419 63 63 70.165 77.745 82.529 86.830 92.010 95.649 64 64 71.225 78.860 83.675 88.004 93.217 96.878 65 65 72.285 79.973 84.821 89.177 94.422 98.105 66 66 73.344 81.085 85.965 90.349 95.626 99.330 67 67 74.403 82.197 87.108 91.519 96.828 100.554 68 68 75.461 83.308 88.250 92.689 98.028 101.776 69 69 76.519 84.418 89.391 93.856 99.228 102.996 70 70 77.577 85.527 90.531 95.023 100.425 104.215 71 71 78.634 86.635 91.670 96.189 101.621 105.432 72 72 79.690 87.743 92.808 97.353 102.816 106.648 73 73 80.747 88.850 93.945 98.516 104.010 107.862 74 74 81.803 89.956 95.081 99.678 105.202 109.074 75 75 82.858 91.061 96.217 100.839 106.393 110.286 76 76 83.913 92.166 97.351 101.999 107.583 111.495 77 77 84.968 93.270 98.484 103.158 108.771 112.704 78 78 86.022 94.374 99.617 104.316 109.958 113.911 79 79 87.077 95.476 100.749 105.473 111.144 115.117 80 80 88.130 96.578 101.879 106.629 112.329 116.321 81 81 89.184 97.680 103.010 107.783 113.512 117.524 82 82 90.237 98.780 104.139 108.937 114.695 118.726 83 83 91.289 99.880 105.267 110.090 115.876 119.927 84 84 92.342 100.980 106.395 111.242 117.057 121.126 85 85 93.394 102.079 107.522 112.393 118.236 122.325 86 86 94.446 103.177 108.648 113.544 119.414 123.522 87 87 95.497 104.275 109.773 114.693 120.591 124.718 88 88 96.548 105.372 110.898 115.841 121.767 125.913 89 89 97.599 106.469 112.022 116.989 122.942 127.106 90 90 98.650 107.565 113.145 118.136 124.116 128.299 91 91 99.700 108.661 114.268 119.282 125.289 129.491 92 92 100.750 109.756 115.390 120.427 126.462 130.681 93 93 101.800 110.850 116.511 121.571 127.633 131.871 94 94 102.850 111.944 117.632 122.715 128.803 133.059 95 95 103.899 113.038 118.752 123.858 129.973 134.247 96 96 104.948 114.131 119.871 125.000 131.141 135.433 97 97 105.997 115.223 120.990 126.141 132.309 136.619 98 98 107.045 116.315 122.108 127.282 133.476 137.803 99 99 108.093 117.407 123.225 128.422 134.642 138.987 100 100 109.141 118.498 124.342 129.561 135.807 140.169