Tabla de Tukey al 5% de probabilidad

Grados de libertad del error 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 24 30 40 60 120 Inf

Nmero de Tratamientos 2 17.97 6.08 4.5 3.93 3.64 3.46 3.34 3.26 3.2 3.15 3.11 3.08 3.06 3.03 3.01 3 2.98 2.97 2.96 2.95 2.92 2.89 2.86 2.83 2.8 2.77 3 26.98 8.33 5.91 5.04 4.6 4.34 4.16 4.04 3.95 3.88 3.82 3.77 3.73 3.7 3.67 3.65 3.63 3.61 3.59 3.59 3.53 3.49 3.44 3.4 3.36 3.31 4 32.82 9.8 6.82 5.76 5.22 4.9 4.68 4.53 4.41 4.33 4.26 4.2 4.15 4.11 4.08 4.05 4.02 4 3.98 3.96 3.9 3.85 3.79 3.74 3.68 3.63 5 37.08 10.88 7.5 6.29 5.67 5.3 5.06 4.89 4.76 4.65 4.57 4.51 4.45 4.41 4.37 4.33 4.3 4.28 4.25 4.23 4.17 4.1 4.04 3.98 3.92 3.86 6 40.41 11.74 8.04 6.71 6.03 5.63 5.36 5.17 5.02 4.91 4.82 4.75 4.69 4.64 4.59 4.56 4.52 4.49 4.47 4.45 4.37 4.3 4.23 4.16 4.1 4.03 7 43.12 12.44 8.48 7.05 6.33 5.9 5.61 5.4 5.24 5.12 5.03 4.95 4.88 4.83 4.78 4.74 4.7 4.67 4.65 4.62 4.54 4.46 4.39 4.31 4.24 4.17 8 45.4 13.03 8.85 7.35 6.58 6.12 5.82 5.6 5.43 5.3 5.2 5.12 5.05 4.99 4.94 4.9 4.86 4.82 4.79 4.77 4.68 4.6 4.52 4.44 4.36 4.29 9 47.36 13.54 9.18 7.6 6.8 6.32 5.82 6 5.77 5.59 5.46 5.35 5.27 5.19 5.08 5.03 4.99 4.96 4.92 4.9 4.81 4.72 4.63 4.55 4.47 4.39 10 49.07 13.99 9.46 7.83 6.99 6.49 6.16 5.92 5.74 5.6 5.49 5.39 5.32 5.25 5.2 5.15 5.11 5.07 5.04 5.01 4.92 4.82 4.73 4.65 4.56 4.47 11 50.59 14.39 9.72 8.03 7.17 6.65 6.3 6.05 5.87 5.72 5.61 5.51 5.43 5.36 5.31 5.26 5.21 5.17 5.14 5.11 5.01 4.92 4.82 4.73 4.64 4.55 12 51.96 14.75 9.95 8.21 7.32 6.79 6.43 6.18 5.98 5.83 5.71 5.61 5.53 5.46 5.4 5.35 5.31 5.27 5.23 5.2 5.1 5 4.9 4.81 4.71 4.62 13 53.2 18.08 10.15 8.37 7.47 6.92 6.55 6.29 6.09 5.93 5.81 5.71 5.63 5.55 5.49 5.44 5.39 5.35 5.31 5.28 5.18 5.08 4.98 4.88 4.78 4.68 14 54.33 15.38 10.35 8.52 7.6 7.03 6.66 6.39 6.19 6.03 5.9 5.8 5.71 5.64 5.57 5.52 5.47 5.43 5.39 5.36 5.25 5.15 5.04 4.94 4.94 4.74 15 55.36 15.65 10.53 8.66 7.72 7.14 6.76 6.48 6.28 6.11 5.98 5.88 5.79 5.71 5.65 5.59 5.54 5.5 5.46 5.43 5.32 5.21 5.11 5 4.9 4.8 16 56.32 15.91 10.69 8.79 7.83 7.24 6.85 6.57 6.36 6.19 6.06 5.95 5.86 5.79 5.72 5.66 5.61 5.57 5.53 5.49 5.38 5.27 5.16 5.06 4.95 4.85 17 57.22 16.14 10.84 8.91 7.93 7.34 6.94 6.65 6.44 6.27 6.13 6.02 5.93 5.85 5.78 5.73 5.67 5.63 5.59 5.55 5.44 5.33 5.22 5.11 5 4.89 18 58.04 16.37 10.98 9.03 8.03 7.34 7.02 6.73 6.51 6.34 6.2 6.09 5.99 5.91 5.85 5.79 5.73 5.69 5.65 5.61 5.49 5.38 5.27 5.15 5.04 4.93 19 58.83 16.57 11.11 9.13 8.12 7.51 7.1 6.8 6.58 6.4 6.27 6.15 6.05 5.97 5.9 5.84 5.79 5.74 5.7 5.66 5.55 5.43 5.31 5.2 5.09 4.97 20 59.56 16.77 11.24 9.23 8.21 7.59 7.17 6.87 6.64 6.47 6.33 6.21 6.11 6.03 5.96 5.9 5.84 5.79 5.75 5.71 5.59 5.47 5.36 5.24 5.13 5.01

alfa = 0.05 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 2

grados de libertad del numerador 3 4 5 6 7 8 9 10 20 60 100 10000

161.45 199.5 215.71 224.58 230.16 233.99 236.77 238.88 240.54 241.88 248.02 252.2 253.04 254.3 18.513 19 19.164 19.247 19.296 19.329 19.353 19.371 19.385 19.396 19.446 19.479 19.486 19.496 10.128 9.5521 9.2766 9.1172 9.0134 8.9407 8.8867 8.8452 8.8123 8.7855 8.6602 8.572 8.5539 8.5267 7.7086 6.9443 6.5914 6.3882 6.2561 6.1631 6.0942 6.041 5.9988 5.9644 5.8025 5.6878 5.664 5.6284 6.6079 5.7861 5.4094 5.1922 5.0503 4.9503 4.8759 4.8183 4.7725 4.7351 4.5581 4.4314 4.4051 4.3654 5.9874 5.1432 4.7571 4.5337 4.3874 4.2839 4.2067 4.1468 4.099 4.06 3.8742 3.7398 3.7117 3.6693 5.5915 4.7374 4.3468 4.1203 3.9715 3.866 3.7871 3.7257 3.6767 3.6365 3.4445 3.3043 3.2749 3.2302 5.3176 4.459 4.0662 3.8379 3.6875 3.5806 3.5005 3.4381 3.3881 3.3472 3.1503 3.0053 2.9747 2.9281 5.1174 4.2565 3.8625 3.6331 3.4817 3.3738 3.2927 3.2296 3.1789 3.1373 2.9365 2.7872 2.7556 2.7072 4.9646 4.1028 3.7083 3.478 3.3258 3.2172 3.1355 3.0717 3.0204 2.9782 2.774 2.6211 2.5884 2.5384 4.8443 3.9823 3.5874 3.3567 3.2039 3.0946 3.0123 2.948 2.8962 2.8536 2.6464 2.4901 2.4566 2.405 4.7472 3.8853 3.4903 3.2592 3.1059 2.9961 2.9134 2.8486 2.7964 2.7534 2.5436 2.3842 2.3498 2.2967 4.6672 3.8056 3.4105 3.1791 3.0254 2.9153 2.8321 2.7669 2.7144 2.671 2.4589 2.2966 2.2614 2.207 4.6001 3.7389 3.3439 3.1122 2.9582 2.8477 2.7642 2.6987 2.6458 2.6022 2.3879 2.2229 2.187 2.1313 4.5431 3.6823 3.2874 3.0556 2.9013 2.7905 2.7066 2.6408 2.5876 2.5437 2.3275 2.1601 2.1234 2.0664 4.494 3.6337 3.2389 3.0069 2.8524 2.7413 2.6572 2.5911 2.5377 2.4935 2.2756 2.1058 2.0685 2.0102 4.4513 3.5915 3.1968 2.9647 2.81 2.6987 2.6143 2.548 2.4943 2.4499 2.2304 2.0584 2.0204 1.961 4.4139 3.5546 3.1599 2.9277 2.7729 2.6613 2.5767 2.5102 2.4563 2.4117 2.1906 2.0166 1.978 1.9175 4.3808 3.5219 3.1274 2.8951 2.7401 2.6283 2.5435 2.4768 2.4227 2.3779 2.1555 1.9795 1.9403 1.8787 4.3513 3.4928 3.0984 2.8661 2.7109 2.599 2.514 2.4471 2.3928 2.3479 2.1242 1.9464 1.9066 1.8438 4.3248 3.4668 3.0725 2.8401 2.6848 2.5727 2.4876 2.4205 2.3661 2.321 2.096 1.9165 1.8761 1.8124 4.3009 3.4434 3.0491 2.8167 2.6613 2.5491 2.4638 2.3965 2.3419 2.2967 2.0707 1.8894 1.8486 1.7838 4.2793 3.4221 3.028 2.7955 2.64 2.5277 2.4422 2.3748 2.3201 2.2747 2.0476 1.8648 1.8234 1.7577 4.2597 3.4028 3.0088 2.7763 2.6207 2.5082 2.4226 2.3551 2.3002 2.2547 2.0267 1.8424 1.8005 1.7338 4.2417 3.3852 2.9912 2.7587 2.603 2.4904 2.4047 2.3371 2.2821 2.2365 2.0075 1.8217 1.7794 1.7117 4.2252 3.369 2.9752 2.7426 2.5868 2.4741 2.3883 2.3205 2.2655 2.2197 1.9898 1.8027 1.7599 1.6913 4.21 3.3541 2.9603 2.7278 2.5719 2.4591 2.3732 2.3053 2.2501 2.2043 1.9736 1.7851 1.7419 1.6724 1.9586 1.7689 1.7251 1.6548 4.196 3.3404 2.9467 2.7141 2.5581 2.4453 2.3593 2.2913 2.236 2.19

4.183 3.3277 2.934 2.7014 2.5454 2.4324 2.3463 2.2782 2.2229 2.1768 1.9446 1.7537 1.7096 1.6384 4.1709 3.3158 2.9223 2.6896 2.5336 2.4205 2.3343 2.2662 2.2107 2.1646 1.9317 1.7396 1.695 1.623 4.0847 3.2317 2.8387 2.606 2.4495 2.3359 2.249 2.1802 2.124 2.0773 1.8389 1.6373 1.5892 1.5098 4.0343 3.1826 2.79 2.5572 2.4004 2.2864 2.1992 2.1299 2.0733 2.0261 1.7841 1.5757 1.5249 1.4392 4.0012 3.1504 2.7581 2.5252 2.3683 2.2541 2.1665 2.097 2.0401 1.9926 1.748 1.5343 1.4814 1.3903 3.9778 3.1277 2.7355 2.5027 2.3456 2.2312 2.1435 2.0737 2.0166 1.9689 1.7223 1.5046 1.4498 1.354 3.9604 3.1108 2.7188 2.4859 2.3287 2.2142 2.1263 2.0564 1.9991 1.9512 1.7032 1.4821 1.4259 1.3259 3.9469 3.0977 2.7058 2.4729 2.3157 2.2011 2.1131 2.043 1.9856 1.9376 1.6883 1.4645 1.407 1.3032 3.9362 3.0873 2.6955 2.4626 2.3053 2.1906 2.1025 2.0323 1.9748 1.9267 1.6764 1.4504 1.3917 1.2845 3.8884 3.0411 2.6498 2.4168 2.2592 2.1441 2.0556 1.9849 1.9269 1.8783 1.6233 1.3856 1.3206 1.1903 3.8726 3.0258 2.6347 2.4017 2.2441 2.1288 2.0402 1.9693 1.9112 1.8623 1.6057 1.3634 1.2958 1.1521 3.8648 3.0183 2.6272 2.3943 2.2366 2.1212 2.0325 1.9616 1.9033 1.8544 1.5969 1.3522 1.2831 1.1303 3.8601 3.0138 2.6227 2.3898 2.232 2.1167 2.0279 1.9569 1.8986 1.8496 1.5916 1.3455 1.2753 1.1159 3.857 3.0107 2.6198 2.3868 2.229 2.1137 2.0248 1.9538 1.8955 1.8465 1.5881 1.341 1.2701 1.1055 3.8548 3.0086 2.6176 2.3847 2.2269 2.1115 2.0226 1.9516 1.8932 1.8442 1.5856 1.3377 1.2664 1.0976 3.8531 3.007 2.616 2.3831 2.2253 2.1099 2.021 1.95 1.8916 1.8425 1.5837 1.3353 1.2635 1.0912 3.8518 3.0057 2.6148 2.3818 2.224 2.1086 2.0197 1.9487 1.8903 1.8412 1.5822 1.3334 1.2613 1.0861

1000 3.8508 3.0047 2.6138 2.3808 2.2231 2.1076 2.0187 1.9476 1.8892 1.8402 1.5811 1.3318 1.2596 1.0818 1500 3.8477 3.0017 2.6108 2.3779 2.2201 2.1046 2.0157 1.9446 1.8861 1.837 1.5775 1.3273 1.2542 1.0675 2000 3.8461 3.0002 2.6094 2.3764 2.2186 2.1031 2.0142 1.943 1.8846 1.8354 1.5758 1.325 1.2516 1.0593 10000 3.8424 2.9966 2.6058 2.3728 2.215 2.0995 2.0105 1.9393 1.8808 1.8316 1.5716 1.3194 1.2451 1.0334

alfa = 0.025 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 2

grados de libertad del numerador 3 4 5 6 7 8 9 10 20 60 100 10000

647.79 799.48 864.15 899.6 921.83 937.11 948.2 956.64 963.28 968.63 993.08 1009.8 1013.2 1018.2 38.506 39 39.166 39.248 39.298 39.331 39.356 39.373 39.387 39.398 39.448 39.481 39.488 39.498 17.443 16.044 15.439 15.101 14.885 14.735 14.624 14.54 14.473 14.419 14.167 13.992 13.956 13.903 12.218 10.649 9.9792 9.6045 9.3645 9.1973 9.0741 8.9796 8.9046 8.8439 8.5599 8.3604 8.3195 8.258 10.007 8.4336 7.7636 7.3879 7.1464 6.9777 6.853 6.7572 6.681 6.6192 6.3285 6.1225 6.08 6.016 8.8131 7.2599 6.5988 6.2271 5.9875 5.8197 5.6955 5.5996 5.5234 5.4613 5.1684 4.9589 4.9154 4.8498 8.0727 6.5415 5.8898 5.5226 5.2852 5.1186 4.9949 4.8993 4.8232 4.7611 4.4668 4.2544 4.2101 4.143 7.5709 6.0595 5.416 5.0526 4.8173 4.6517 4.5285 4.4333 4.3572 4.2951 3.9994 3.7844 3.7393 3.6709 7.2093 5.7147 5.0781 4.7181 4.4844 4.3197 4.197 4.102 4.026 3.9639 3.6669 3.4493 3.4034 3.3336 6.9367 5.4564 4.8256 4.4683 4.2361 4.0721 3.9498 3.8549 3.779 3.7168 3.4185 3.1984 3.1517 3.0805 6.7241 5.2559 4.63 4.2751 4.044 3.8806 3.7586 3.6638 3.5879 3.5257 3.2261 3.0035 2.9561 2.8835 6.5538 5.0959 4.4742 4.1212 3.8911 3.7283 3.6065 3.5118 3.4358 3.3735 3.0728 2.8478 2.7996 2.7257 6.4143 4.9653 4.3472 3.9959 3.7667 3.6043 3.4827 3.388 3.312 3.2497 2.9477 2.7204 2.6715 2.5962 6.2979 4.8567 4.2417 3.8919 3.6634 3.5014 3.3799 3.2853 3.2093 3.1469 2.8437 2.6142 2.5646 2.488 6.1995 4.765 4.1528 3.8043 3.5764 3.4147 3.2934 3.1987 3.1227 3.0602 2.7559 2.5242 2.4739 2.3961 6.1151 4.6867 4.0768 3.7294 3.5021 3.3406 3.2194 3.1248 3.0488 2.9862 2.6808 2.4471 2.3961 2.3171 6.042 4.6189 4.0112 3.6648 3.4379 3.2767 3.1556 3.061 2.9849 2.9222 2.6158 2.3801 2.3285 2.2483 5.9781 4.5597 3.9539 3.6083 3.382 3.2209 3.0999 3.0053 2.9291 2.8664 2.559 2.3214 2.2692 2.1878 5.9216 4.5075 3.9034 3.5587 3.3327 3.1718 3.0509 2.9563 2.8801 2.8172 2.5089 2.2696 2.2167 2.1341 5.8715 4.4612 3.8587 3.5147 3.2891 3.1283 3.0074 2.9128 2.8365 2.7737 2.4645 2.2234 2.1699 2.0862 5.8266 4.4199 3.8188 3.4754 3.2501 3.0895 2.9686 2.874 2.7977 2.7348 2.4247 2.1819 2.128 2.0431 5.7863 4.3828 3.7829 3.4401 3.2151 3.0546 2.9338 2.8392 2.7628 2.6998 2.389 2.1446 2.0901 2.0041 5.7498 4.3492 3.7505 3.4083 3.1835 3.0232 2.9023 2.8077 2.7313 2.6682 2.3566 2.1107 2.0556 1.9687 5.7166 4.3187 3.7211 3.3794 3.1548 2.9946 2.8738 2.7791 2.7027 2.6396 2.3273 2.0799 2.0243 1.9362 5.6864 4.2909 3.6943 3.353 3.1287 2.9685 2.8478 2.7531 2.6766 2.6135 2.3005 2.0516 1.9955 1.9065 5.6586 4.2655 3.6697 3.3289 3.1048 2.9447 2.824 2.7293 2.6528 2.5896 2.2759 2.0257 1.9691 1.879 5.6331 4.2421 3.6472 3.3067 3.0828 2.9228 2.8021 2.7074 2.6309 2.5676 2.2533 2.0018 1.9447 1.8537 5.6096 4.2205 3.6264 3.2863 3.0626 2.9027 2.782 2.6872 2.6106 2.5473 2.2324 1.9797 1.9221 1.8301 5.5878 4.2006 3.6072 3.2674 3.0438 2.884 2.7633 2.6686 2.5919 2.5286 2.2131 1.9591 1.9011 1.8082 5.5675 4.1821 3.5893 3.2499 3.0265 2.8667 2.746 2.6513 2.5746 2.5112 2.1952 1.94 1.8816 1.7877 5.4239 4.051 3.4633 3.1261 2.9037 2.7444 2.6238 2.5289 2.4519 2.3882 2.0677 1.8028 1.7405 1.6382 5.3403 3.9749 3.3902 3.0544 2.8326 2.6736 2.553 2.4579 2.3808 2.3168 1.9933 1.7211 1.6558 1.5465 5.2856 3.9253 3.3425 3.0077 2.7863 2.6274 2.5068 2.4117 2.3344 2.2702 1.9445 1.6668 1.599 1.4834 5.247 3.8903 3.309 2.9748 2.7537 2.5949 2.4743 2.3791 2.3017 2.2374 1.91 1.6279 1.5581 1.4371 5.2183 3.8643 3.2841 2.9504 2.7295 2.5708 2.4502 2.3549 2.2775 2.213 1.8843 1.5987 1.5271 1.4012 5.1962 3.8443 3.2649 2.9315 2.7109 2.5522 2.4316 2.3363 2.2588 2.1942 1.8644 1.5758 1.5028 1.3725 5.1786 3.8284 3.2496 2.9166 2.6961 2.5374 2.4168 2.3215 2.2439 2.1793 1.8486 1.5575 1.4833 1.3489 5.1004 3.7578 3.182 2.8503 2.6304 2.472 2.3513 2.2558 2.178 2.113 1.778 1.4742 1.3927 1.2312 5.0747 3.7346 3.1599 2.8286 2.6089 2.4505 2.3299 2.2343 2.1563 2.0913 1.7547 1.4459 1.3613 1.1841 5.0619 3.7231 3.1489 2.8179 2.5983 2.4399 2.3192 2.2236 2.1456 2.0805 1.7431 1.4317 1.3453 1.1574 5.0543 3.7162 3.1423 2.8114 2.5919 2.4335 2.3129 2.2172 2.1392 2.074 1.7362 1.4231 1.3356 1.1398 5.0492 3.7116 3.1379 2.8071 2.5876 2.4293 2.3086 2.213 2.1349 2.0697 1.7316 1.4173 1.329 1.1271 5.0456 3.7084 3.1348 2.8041 2.5846 2.4263 2.3056 2.2099 2.1319 2.0666 1.7282 1.4132 1.3243 1.1174 5.0429 3.7059 3.1324 2.8018 2.5823 2.424 2.3033 2.2077 2.1296 2.0643 1.7258 1.4101 1.3208 1.1098 5.0408 3.704 3.1306 2.8 2.5806 2.4223 2.3016 2.2059 2.1278 2.0626 1.7238 1.4077 1.318 1.1035 1.3091 1.081 1.2977 1.04

1000 5.0391 3.7025 3.1292 2.7986 2.5792 2.4208 2.3002 2.2045 2.1264 2.0611 1.7223 1.4058 1.3158 1.0983 1500 5.034 3.698 3.1248 2.7943 2.5749 2.4166 2.2959 2.2003 2.1221 2.0569 1.7177 1.4 2000 5.0315 3.6957 3.1227 2.7922 2.5728 2.4145 2.2938 2.1981 2.12 10000 5.0254 3.6902 3.1174 2.7871 2.5678 2.4095 2.2888 2.1931 2.1149 2.0496 1.7099 1.39 2.0547 1.7154 1.3971 1.3058 1.0711

alfa = 0.01 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 2

grados de libertad del numerador 3 4 5 6 5859 7 8 9 10 20 60 100 10000 5928.3 5981 6022.4 6055.9 6208.7 6313 6333.9 6365.6

4052.2 4999.3 5403.5 5624.3 5764 98.502 99 21.198 18

99.164 99.251 99.302 99.331 99.357 99.375 99.39 99.397 99.448 99.484 99.491 99.499 16.694 15.977 15.522 15.207 14.976 14.799 14.659 14.546 14.019 13.652 13.577 13.464 9.0215 8.1017 7.976 7.8742 7.3958 7.0568 6.9867 6.8811

34.116 30.816 29.457 28.71 28.237 27.911 27.671 27.489 27.345 27.228 26.69 26.316 26.241 26.126 16.258 13.274 12.06 11.392 10.967 10.672 10.456 10.289 10.158 10.051 9.5527 9.202 9.13 13.745 10.925 9.7796 9.1484 8.7459 8.466 8.26

12.246 9.5465 8.4513 7.8467 7.4604 7.1914 6.9929 6.8401 6.7188 6.6201 6.1555 5.8236 5.7546 5.6506 11.259 8.6491 7.591 7.0061 6.6318 6.3707 6.1776 6.0288 5.9106 5.8143 5.3591 5.0316 4.9633 4.8599 10.562 8.0215 6.992 6.4221 6.0569 5.8018 5.6128 5.4671 5.3511 5.2565 4.808 4.4831 4.415 4.3116 10.044 7.5595 6.5523 5.9944 5.6364 5.3858 5.2001 5.0567 4.9424 4.8491 4.4054 4.0819 4.0137 3.91 9.6461 7.2057 6.2167 5.6683 5.316 5.0692 4.886 4.7445 4.6315 4.5393 4.099 3.7761 3.7077 3.6035 9.3303 6.9266 5.9525 5.4119 5.0644 4.8205 4.6395 4.4994 4.3875 4.2961 3.8584 3.5355 3.4668 3.3619 9.0738 6.7009 5.7394 5.2053 4.8616 4.6203 4.441 4.3021 4.1911 4.1003 3.6646 3.3413 3.2723 3.1665 8.8617 6.5149 5.5639 5.0354 4.695 4.4558 4.2779 4.14 4.0297 3.9394 3.5052 3.1813 3.1118 3.0051 8.6832 6.3588 5.417 4.8932 4.5556 4.3183 4.1416 4.0044 3.8948 3.8049 3.3719 3.0471 2.9772 2.8695 8.5309 6.2263 5.2922 4.7726 4.4374 4.2016 4.0259 3.8896 3.7804 3.6909 3.2587 2.933 2.8627 2.7539 8.3998 6.1121 5.185 4.6689 4.336 4.1015 3.9267 3.7909 3.6823 3.5931 3.1615 2.8348 2.7639 2.6542 8.2855 6.0129 5.0919 4.579 4.2479 4.0146 3.8406 3.7054 3.5971 3.5081 3.0771 2.7493 2.6779 2.5671 8.185 5.9259 5.0103 4.5002 4.1708 3.9386 3.7653 3.6305 3.5225 3.4338 3.0031 2.6742 2.6023 2.4905 8.096 5.849 4.9382 4.4307 4.1027 3.8714 3.6987 3.5644 3.4567 3.3682 2.9377 2.6077 2.5353 2.4224 8.0166 5.7804 4.874 4.3688 4.0421 3.8117 3.6396 3.5056 3.3982 3.3098 2.8795 2.5484 2.4755 2.3615 7.9453 5.719 4.8166 4.3134 3.988 3.7583 3.5866 3.453 3.3458 3.2576 2.8274 2.4951 2.4218 2.3067 7.8811 5.6637 4.7648 4.2635 3.9392 3.7102 3.539 3.4057 3.2986 3.2106 2.7805 2.4471 2.3732 2.2571 7.8229 5.6136 4.7181 4.2185 3.8951 3.6667 3.4959 3.3629 3.256 3.1681 2.738 2.4035 2.3291 2.2119 7.7698 5.568 4.6755 4.1774 3.855 3.6272 3.4568 3.3239 3.2172 3.1294 2.6993 2.3637 2.2888 2.1706 7.7213 5.5263 4.6365 4.14 3.8183 3.5911 3.421 3.2884 3.1818 3.0941 2.664 2.3273 2.2519 2.1327 7.6767 5.4881 4.6009 4.1056 3.7847 3.558 3.3882 3.2558 3.1494 3.0618 2.6316 2.2938 2.218 2.0978 7.6357 5.4529 4.5681 4.074 3.7539 3.5276 3.3581 3.2259 3.1195 3.032 2.6018 2.2629 2.1867 2.0655 7.5977 5.4205 4.5378 4.0449 3.7254 3.4995 3.3303 3.1982 3.092 3.0045 2.5742 2.2344 2.1577 2.0355 7.5624 5.3903 4.5097 4.0179 3.699 3.4735 3.3045 3.1726 3.0665 2.9791 2.5487 2.2079 2.1307 2.0075 7.3142 5.1785 4.3126 3.8283 3.5138 3.291 3.1238 2.993 2.8876 2.8005 2.3689 2.0194 1.9383 1.8061 7.1706 5.0566 4.1994 3.7195 3.4077 3.1864 3.0202 2.89 2.785 2.6981 2.2652 1.909 1.8248 1.6847 7.0771 4.9774 4.1259 3.6491 3.3389 3.1187 2.953 2.8233 2.7185 2.6318 2.1978 1.8363 1.7493 1.6023 7.0114 4.9218 4.0744 3.5997 3.2907 3.0712 2.906 2.7765 2.6719 2.5852 2.1504 1.7846 1.6954 1.5422 6.9626 4.8807 4.0363 3.5631 3.2551 3.0361 2.8713 2.742 2.6374 2.5508 2.1153 1.7459 1.6548 1.496 6.9251 4.8491 4.0069 3.535 3.2276 3.0091 2.8445 2.7154 2.6109 2.5243 2.0882 1.7158 1.6231 1.4593 6.8953 4.8239 3.9837 3.5127 3.2059 2.9877 2.8233 2.6943 2.5898 2.5033 2.0666 1.6918 1.5977 1.4292 6.7633 4.7128 3.881 3.4143 3.11 2.8933 2.7298 2.6012 2.4971 2.4106 1.9713 1.5833 1.4811 1.2812 6.7201 4.6766 3.8475 3.3822 3.0787 2.8625 2.6993 2.5709 2.4668 2.3804 1.9401 1.5468 1.441 1.2228 6.6987 4.6586 3.8309 3.3664 3.0632 2.8472 2.6842 2.5559 2.4518 2.3654 1.9245 1.5285 1.4207 1.19 6.6858 4.6479 3.821 3.3569 3.054 2.8381 2.6751 2.5469 2.4429 2.3565 1.9152 1.5174 1.4084 1.1684 6.6773 4.6407 3.8144 3.3506 3.0478 2.8321 2.6691 2.5409 2.4369 2.3505 1.9091 1.5101 1.4001 1.1529 6.6713 4.6356 3.8097 3.346 3.0434 2.8278 2.6648 2.5367 2.4327 2.3463 1.9047 1.5048 1.3942 1.1411 6.6667 4.6318 3.8062 3.3427 3.0402 2.8245 2.6617 2.5335 2.4295 2.3431 1.9013 1.5008 1.3897 1.1318 6.6631 4.6288 3.8034 3.3401 3.0376 2.822 2.6592 2.531 2.427 2.3406 1.8988 1.4978 1.3863 1.1242 2.6572 2.529 2.425 2.3386 1.8967 1.4953 1.3835 1.1178

1000 6.6603 4.6264 3.8012 3.338 3.0356 2.82

1500 6.6518 4.6193 3.7947 3.3317 3.0294 2.814 2.6512 2.5231 2.4191 2.3327 1.8906 1.4879 1.3751 1.0969 2000 6.6476 4.6158 3.7914 3.3286 3.0264 2.811 2.6482 2.5201 2.4162 2.3298 1.8875 1.4842 1.3708 1.085 10000 6.6374 4.6073 3.7836 3.321 3.0191 2.8038 2.6411 2.513 2.4091 2.3227 1.8802 1.4752 1.3606 1.0476

alfa = 0.005 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 2

grados de libertad del numerador 3 4 5 6 7 8 9 10 20 60 100 10000

16212 19997 21614 22501 23056 23440 23715 23924 24091 24222 24837 25254 25339 25466 198.5 199.01 199.16 199.24 199.3 199.33 199.36 199.38 199.39 199.39 199.45 199.48 199.48 199.51 55.552 49.8 47.468 46.195 45.391 44.838 44.434 44.125 43.881 43.685 42.779 42.15 42.022 41.829 13.961 13.772 13.618 12.903 12.402 12.3 12.145 31.332 26.284 24.26 23.154 22.456 21.975 21.622 21.352 21.138 20.967 20.167 19.611 19.497 19.327 22.785 18.314 16.53 15.556 14.939 14.513 14.2 18.635 14.544 12.917 12.028 11.464 11.073 10.786 10.566 10.391 10.25 9.5888 9.1218 9.0258 8.8808 16.235 12.404 10.883 10.05 9.522 9.1554 8.8853 8.6779 8.5138 8.3803 7.7539 7.3087 7.2166 7.0775 14.688 11.043 9.5965 8.8053 8.3019 7.9519 7.6941 7.4958 7.3387 7.2107 6.6082 6.1773 6.0875 5.952 13.614 10.107 8.7171 7.9558 7.471 7.1338 6.8849 6.6932 6.5411 6.4172 5.8319 5.4104 5.3224 5.1889 12.827 9.4269 8.0809 7.3428 6.8724 6.5447 6.3026 6.1159 5.9676 5.8467 5.274 4.8592 4.7721 4.6399 12.226 8.9121 7.6004 6.8808 6.4217 6.1016 5.8648 5.6821 5.5368 5.4183 4.8552 4.445 4.3585 4.2269 11.754 8.5097 7.2257 6.5211 6.0711 5.7571 5.5245 5.3451 5.2021 5.0854 4.53 11.374 8.1864 6.9258 6.2334 5.791 5.4819 5.2529 5.0761 4.9351 4.82 4.123 4.0368 3.9053 4.2703 3.8656 3.7795 3.6479

11.06 7.9217 6.6804 5.9983 5.5622 5.2573 5.0313 4.8566 4.7173 4.6034 4.0585 3.6553 3.5692 3.4372 10.798 7.7007 6.4761 5.8029 5.3722 5.0708 4.8473 4.6743 4.5363 4.4236 3.8826 3.4803 3.3941 3.2616 10.576 7.5138 6.3034 5.6378 5.2116 4.9134 4.692 4.5206 4.3839 4.2719 3.7342 3.3324 3.246 3.1129 10.384 7.3537 6.1557 5.4968 5.0745 4.7789 4.5594 4.3893 4.2535 4.1424 3.6073 3.2059 3.1192 2.9853 10.218 7.2148 6.0278 5.3747 4.9561 4.6628 4.4448 4.276 4.141 4.0304 3.4977 3.0962 3.0092 2.8746 10.073 7.0934 5.916 5.268 4.8526 4.5613 4.3449 4.177 4.0428 3.9329 3.402 3.0004 2.9131 2.7776 9.944 6.9865 5.8177 5.1743 4.7615 4.4721 4.2569 4.09 3.9564 3.847 3.3178 2.9159 2.8282 2.6918 9.8294 6.8915 5.7304 5.0911 4.6808 4.3931 4.1789 4.0128 3.8799 3.7709 3.2431 2.8408 2.7528 2.6154 9.727 6.8064 5.6524 5.0168 4.6088 4.3225 4.1093 3.944 3.8116 3.703 3.1764 2.7736 2.6852 2.5469 9.6347 6.73 5.5823 4.95 4.5441 4.2591 4.0469 3.8822 3.7502 3.642 3.1165 2.7132 2.6243 2.4851 3.9394 3.7758 3.6447 3.537 3.0133 2.6088 2.5191 2.378 9.5513 6.6609 5.519 4.8898 4.4856 4.2019 3.9905 3.8264 3.6949 3.587 3.0624 2.6585 2.5692 2.4291 9.4753 6.5982 5.4615 4.8351 4.4326 4.15 9.406 6.541 5.4091 4.7852 4.3843 4.1027 3.8928 3.7297 3.5989 3.4916 2.9685 2.5634 2.4733 2.3312 9.3423 6.4886 5.3611 4.7396 4.3402 4.0594 3.8501 3.6875 3.557 3.4499 2.9275 2.5217 2.4312 2.2882 9.2837 6.4404 5.317 4.6977 4.2996 4.0197 3.811 3.6488 3.5186 3.4117 2.8899 2.4833 2.3925 2.2485 9.2298 6.3958 5.2764 4.6591 4.2621 3.9831 3.7749 3.6131 3.4832 3.3765 2.8551 2.448 2.3566 2.2117 9.1798 6.3546 5.2388 4.6234 4.2276 3.9493 3.7415 3.5801 3.4505 3.344 2.823 2.4152 2.3234 2.1776 8.8278 6.0664 4.9758 4.3738 3.986 3.7129 3.5088 3.3498 3.222 3.1167 2.5984 2.1838 2.0884 1.9334 8.6256 5.9016 4.8259 4.2317 3.8486 3.5785 3.3764 3.2189 3.0921 2.9875 2.4702 2.0499 1.9512 1.7881 8.4947 5.795 4.729 4.1399 3.76 3.4918 3.2911 3.1345 3.0083 2.9042 2.3872 1.9622 1.8609 1.6904 8.4026 5.7204 4.6613 4.0758 3.698 3.4313 3.2315 3.0755 2.9498 2.846 2.3291 1.9002 1.7966 1.6196 8.3346 5.6652 4.6113 4.0285 3.6524 3.3867 3.1876 3.032 2.9066 2.8031 2.2862 1.854 1.7484 1.5655 8.2823 5.6228 4.5728 3.9922 3.6173 3.3524 3.1538 2.9987 2.8735 2.7701 2.2532 1.8182 1.7109 1.5226 8.2407 5.5892 4.5424 3.9634 3.5895 3.3252 3.1271 2.9722 2.8472 2.7439 2.227 1.7896 1.6809 1.4875 8.0572 5.4412 4.4084 3.8368 3.4673 3.2059 3.0097 2.856 2.7319 2.6292 2.1116 1.6614 1.5442 1.3167 7.9972 5.393 4.3649 3.7957 3.4277 3.1672 2.9715 2.8183 2.6945 2.5919 2.0739 1.6187 1.4976 1.2501 7.9676 5.3691 4.3433 3.7754 3.408 3.148 2.9527 2.7997 2.6759 2.5735 2.0553 1.5972 1.4741 1.2128 7.9499 5.3549 4.3304 3.7632 3.3963 3.1366 2.9414 2.7885 2.6649 2.5624 2.0441 1.5843 1.4598 1.1884 7.9381 5.3453 4.3219 3.7551 3.3885 3.129 2.9339 2.7811 2.6575 2.5551 2.0367 1.5757 1.4502 1.1709 7.9297 5.3386 4.3158 3.7494 3.383 3.1235 2.9286 2.7758 2.6523 2.5499 2.0314 1.5696 1.4434 1.1576 7.9233 5.3335 4.3112 3.7451 3.3788 3.1195 2.9246 2.7719 2.6483 2.546 2.0274 1.565 1.4382 1.1471 7.9185 5.3296 4.3077 3.7417 3.3756 3.1164 2.9215 2.7688 2.6453 2.543 2.0244 1.5614 1.4342 1.1386

1000 7.9144 5.3265 4.3048 3.739 3.373 3.1138 2.919 2.7663 2.6429 2.5406 2.0219 1.5585 1.431 1.1314 1500 7.9028 5.3171 4.2963 3.731 3.3653 3.1063 2.9116 2.759 2.6356 2.5333 2.0145 1.5498 1.4213 1.108 2000 7.8969 5.3124 4.2921 3.7271 3.3614 3.1025 2.9079 2.7553 2.6319 2.5296 2.0109 1.5455 1.4164 1.0946 10000 7.883 5.3011 4.2819 3.7174 3.3522 3.0935 2.899 2.7466 2.6232 2.521 2.002 1.5351 1.4047 1.0529

alfa = 0.001 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 2

grados de libertad del numerador 3 4 5 6 7 8 9 10 20 60 100 10000

40531 49972 54025 56266 57649 58603 59318 59795 60224 60558 62084 63133 63324 63657 2 5 7 8 6 3 5 4 5 3 2 2 0 8 998.38 998.84 999.31 999.31 999.31 999.31 999.31 999.31 999.31 999.31 999.31 999.31 999.31 999.31 167.06 148.49 141.1 137.08 134.58 132.83 131.61 130.62 129.86 129.22 126.43 124.45 124.07 123.46 74.127 61.249 56.17 53.435 51.718 50.524 49.651 48.996 48.472 48.05 46.1 47.177 37.122 33.2 44.747 44.471 44.049 31.083 29.751 28.835 28.165 27.649 27.241 26.914 25.393 24.331 24.113 23.789

35.507 27.001 23.705 21.922 20.802 20.031 19.463 19.03 18.688 18.412 17.12 16.214 16.029 15.749 29.246 21.69 18.772 17.197 16.207 15.52 15.018 14.634 14.33 14.083 12.931 12.118 11.951 11.698 25.415 18.494 15.829 14.392 13.484 12.858 12.398 12.045 11.767 11.54 10.479 9.728 9.5715 9.3369 22.857 16.387 13.901 12.56 11.714 11.129 10.697 10.368 10.106 9.8944 8.8976 8.1864 8.0381 7.8153 21.038 14.905 12.553 11.283 10.481 9.9262 9.517 9.2041 8.9558 8.7539 7.8035 7.1223 6.9804 6.7648 19.687 13.812 11.561 10.346 9.5788 9.0467 8.6548 8.3546 8.1163 7.9226 7.0077 6.3483 6.21 6.0004 18.645 12.973 10.805 9.6334 8.8921 8.3783 8.0008 7.7107 7.4797 7.2923 6.4047 5.7626 5.627 5.4215 17.815 12.313 10.209 9.0731 8.3546 7.8562 7.4888 7.2059 6.9822 6.7994 5.934 5.3046 5.1718 4.969 17.142 11.779 9.7298 8.622 7.9217 7.436 7.0777 6.8021 6.5829 6.4038 5.557 4.9376 4.8067 4.6061 16.587 11.34 9.3351 8.2528 7.567 7.0913 6.7412 6.4706 6.256 6.0809 5.2487 4.6375 4.5079 4.3092 16.12 10.97 9.0058 7.9444 7.2719 6.8048 6.4601 6.195 5.9836 5.8117 4.9918 4.3879 4.2592 4.0613 15.722 10.658 8.7266 7.6834 7.0222 6.5625 6.2237 5.9617 5.7539 5.5843 4.7753 4.1769 4.0486 3.8517 15.38 10.39 8.4874 7.4597 6.8076 6.3546 6.0209 5.7626 5.5575 5.3901 4.5898 3.9959 3.8685 3.6719 15.081 10.157 8.28 7.2655 6.6225 6.1755 5.8453 5.5907 5.3874 5.2219 4.4297 3.8397 3.7126 3.5161 14.819 9.9526 8.0981 7.0959 6.4606 6.0186 5.6921 5.4401 5.2391 5.0754 4.2901 3.703 3.5761 3.3799 14.586 9.7725 7.9381 6.9467 6.3183 5.8808 5.557 5.3078 5.1086 4.9463 4.1668 3.5827 3.4561 3.2596 14.381 9.6115 7.7962 6.8139 6.1914 5.758 5.4374 5.19 4.9931 4.8317 4.0579 3.4759 3.3492 3.1525 14.195 9.4687 7.6689 6.6957 6.0782 5.6489 5.3305 5.0854 4.8894 4.7296 3.9606 3.3804 3.2539 3.0568 14.028 9.3396 7.5543 6.5893 5.9767 5.5506 5.2351 4.9913 4.7967 4.638 3.8731 3.2946 3.1682 2.9706 13.877 9.2223 7.451 6.4929 5.8853 5.4615 5.1482 4.9063 4.713 4.5552 3.7944 3.2171 3.0905 2.8924 13.739 9.1168 7.3569 6.4056 5.8017 5.381 5.07 4.8292 4.6371 4.4802 3.7228 3.1466 3.02 2.8215 13.613 9.0195 7.2714 6.326 5.7262 5.3078 4.9981 4.7589 4.5679 4.4115 3.6575 3.0825 2.9556 2.7565 13.497 8.9303 7.1932 6.2532 5.6566 5.2405 4.9326 4.6948 4.5047 4.3492 3.598 3.0236 2.8967 2.6968 13.391 8.8485 7.1209 6.1864 5.5925 5.1791 4.8726 4.6357 4.4465 4.2917 3.5432 2.9695 2.8424 2.6419 13.293 8.773 7.0545 6.1245 5.5338 5.1223 4.8171 4.5816 4.3929 4.2387 3.4927 2.9197 2.7924 2.591 12.609 8.2509 6.5947 5.698 5.1282 4.7307 4.4356 4.2071 4.0243 3.8744 3.145 2.5736 2.4439 2.2349 12.222 7.9563 6.3364 5.4592 4.9013 4.5115 4.2223 3.9981 3.8185 3.6712 2.9506 2.3782 2.2459 2.0288 11.973 7.768 6.1714 5.3069 4.7567 4.3719 4.0864 3.8649 3.6873 3.5416 2.8265 2.2522 2.1175 1.8929 11.8 7.6366 6.0563 5.2009 4.6562 4.2753 3.9922 3.7726 3.5964 3.4518 2.7405 2.1643 2.0274 1.7958 3.8704 3.6532 3.4788 3.3356 2.6291 2.0491 1.9086 1.6647 11.672 7.5402 5.9722 5.1232 4.5825 4.2044 3.9231 3.7048 3.5297 3.3858 2.6773 2.0992 1.9604 1.7224 11.573 7.466 5.9076 5.0636 4.5261 4.15 11.496 7.4078 5.8567 5.0168 4.4815 4.1071 3.8285 3.6123 3.4386 3.2958 2.5909 2.0094 1.8674 1.6179 11.154 7.1518 5.6343 4.8117 4.2874 3.9204 3.6468 3.4343 3.2635 3.1229 2.4243 1.8333 1.6825 1.3942 11.044 7.0695 5.5625 4.7455 4.2248 3.8601 3.5884 3.377 3.2071 3.0673 2.3706 1.7754 1.6205 1.309 10.989 7.0286 5.527 4.713 4.1941 3.8303 3.5595 3.3488 3.1794 3.0398 2.344 1.7465 1.5893 1.2618 10.957 7.004 5.5056 4.6934 4.1755 3.8128 3.5425 3.3319 3.1628 3.0234 2.3282 1.7292 1.5705 1.2311 10.935 6.9876 5.4915 4.6807 4.1634 3.801 3.531 3.3208 3.1519 3.0125 2.3177 1.7177 1.5579 1.2092 10.919 6.9763 5.4815 4.6714 4.1546 3.7926 3.5229 3.3128 3.144 3.0047 2.3102 1.7095 1.549 1.1926 10.908 6.9676 5.4742 4.6646 4.1482 3.7865 3.5168 3.3069 3.1382 2.9991 2.3047 1.7033 1.5422 1.1796 10.899 6.9613 5.4683 4.6593 4.1432 3.7817 3.512 3.3024 3.1337 2.9945 2.3003 1.6985 1.5369 1.169 2.9909 2.2968 1.6947 1.5327 1.1601 1.1312

1000 10.892 6.9558 5.4638 4.6548 4.1391 3.7776 3.5084 3.2985 3.13

1500 10.87 6.9394 5.4497 4.6421 4.1271 3.766 3.497 3.2876 3.1191 2.9802 2.2865 1.6831 1.52

2000 10.859 6.9317 5.4429 4.6357 4.1209 3.7603 3.4913 3.282 3.1137 2.9748 2.2812 1.6774 1.5137 1.1147 1000 10.834 6.9126 5.426 4.6205 4.1066 3.7464 3.4779 3.2688 3.1007 2.962 2.2688 1.6636 1.4983 1.0638 0

alfa = 0.0005 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 2

grados de libertad del numerador 3 4 5 6 7 8 9 10 20 60 100 10000

2E+06 2E+06 2E+06 2E+06 2E+06 2E+06 2E+06 2E+06 2E+06 2E+06 2E+06 3E+06 3E+06 3E+06 1998.6 1998.6 1998.6 1998.6 2000.5 2000.5 2000.5 2000.5 2000.5 2000.5 2000.5 2000.5 2000.5 2000.5 266.59 236.56 224.68 218.28 214.2 211.41 209.31 207.8 206.64 205.59 201.05 197.91 197.32 196.39 106.23 87.428 80.094 76.136 73.633 71.916 70.664 69.704 68.947 68.336 65.542 63.563 63.184 62.573 63.621 49.782 44.412 41.531 39.727 38.475 37.558 36.86 36.307 35.856 33.804 32.363 32.058 31.621 46.071 34.794 30.457 28.114 26.645 25.633 24.891 24.324 23.88 23.516 21.828 20.649 20.409 20.045 36.991 27.205 23.458 21.442 20.169 19.296 18.656 18.168 17.782 17.47 16.003 14.974 14.759 14.439 31.556 22.752 19.387 17.579 16.44 15.658 15.079 14.639 14.29 14.006 12.686 11.751 11.558 11.263 27.991 19.863 16.771 15.105 14.057 13.337 12.806 12.398 12.074 11.816 10.59 9.7189 9.5388 9.2659 25.495 17.866 14.967 13.406 12.424 11.747 11.249 10.867 10.565 10.319 9.1641 8.3401 8.1673 7.909 23.654 16.407 13.653 12.176 11.245 10.601 10.128 9.7643 9.4769 9.2423 8.1418 7.3505 7.185 6.934 22.243 15.298 12.664 11.249 10.354 9.7389 9.2841 8.9349 8.6584 8.4347 7.3742 6.6102 6.4501 6.2064 21.137 14.428 11.889 10.525 9.6625 9.0677 8.6293 8.2928 8.0254 7.8089 6.7812 6.0372 5.8808 5.6425 20.242 13.733 11.27 9.9462 9.1113 8.5347 8.1091 7.7816 7.5215 7.3105 6.3101 5.5825 5.4288 5.1941 19.507 13.162 10.765 9.4751 8.662 8.0981 7.6834 7.3651 7.1122 6.9049 5.9272 5.2123 5.0613 4.8294 18.888 12.689 10.345 9.084 8.2891 7.738 7.3323 7.0204 6.7721 6.5702 5.6107 4.9067 4.7567 4.5275 18.368 12.285 9.9899 8.7548 7.9744 7.4342 7.0368 6.7303 6.4865 6.2882 5.3442 4.6493 4.5011 4.2737 17.921 11.943 9.6861 8.4729 7.7071 7.1759 6.7848 6.4829 6.2437 6.0481 5.1177 4.4306 4.2837 4.0573 17.531 11.645 9.4242 8.2309 7.476 6.9531 6.5675 6.2701 6.0345 5.8417 4.9231 4.2419 4.0955 3.8699 17.189 11.385 9.195 8.0181 7.2741 6.7594 6.3783 6.0854 5.8517 5.6616 4.753 4.0777 3.9322 3.7071 16.887 11.156 8.9949 7.8326 7.0977 6.5884 6.2128 5.9226 5.6925 5.5043 4.6048 3.9336 3.789 3.5643 16.622 10.952 8.8166 7.667 6.9413 6.4374 6.0663 5.7789 5.5506 5.3642 4.4729 3.8062 3.6616 3.4374 16.382 10.772 8.6566 7.5206 6.8021 6.3028 5.9354 5.6516 5.4251 5.2405 4.3565 3.6925 3.5484 3.3242 16.167 10.608 8.5147 7.3887 6.6775 6.1827 5.818 5.537 5.3124 5.1296 4.2514 3.5907 3.447 3.2228 15.971 10.461 8.3855 7.2705 6.5647 6.0745 5.7125 5.4333 5.2105 5.0295 4.1573 3.4993 3.3556 3.1309 15.796 10.328 8.2691 7.1623 6.4629 5.9763 5.617 5.3396 5.1186 4.9386 4.0718 3.4161 3.2724 3.0477 15.632 10.206 8.1636 7.065 6.3692 5.8862 5.5297 5.2551 5.035 4.8558 3.994 3.3401 3.1969 2.9718 15.483 10.095 8.0654 6.9749 6.2846 5.8053 5.4506 5.1768 4.959 4.7808 3.9231 3.271 3.1278 2.9022 15.349 9.9917 7.9763 6.8922 6.2064 5.7298 5.3778 5.1059 4.889 4.7121 3.8581 3.2078 3.0641 2.8381 15.221 9.8971 7.8944 6.8167 6.1355 5.6607 5.3105 5.0404 4.8249 4.6484 3.798 3.1491 3.0054 2.779 14.352 9.2477 7.3287 6.2964 5.6434 5.1882 4.8517 4.5911 4.3838 4.2137 3.3883 2.7467 2.6016 2.3686 13.861 8.883 7.0131 6.0072 5.3697 4.9258 4.5975 4.3428 4.1396 3.9727 3.1614 2.5216 2.3745 2.1339 13.548 8.6511 6.8121 5.8235 5.1959 4.7594 4.4356 4.185 3.9845 3.8203 3.0172 2.3776 2.2283 1.9803 13.33 8.4892 6.6739 5.6962 5.0759 4.6443 4.3242 4.0764 3.8776 3.7148 2.9179 2.2774 2.1262 1.8712 13.169 8.371 6.5711 5.6025 4.9886 4.5602 4.2428 3.9963 3.7994 3.638 2.8451 2.2036 2.0505 1.789 13.046 8.28 6.4938 5.5315 4.9213 4.4956 4.18 3.9358 3.7398 3.5789 2.7894 2.1469 1.9922 1.7247 12.948 8.2091 6.4319 5.4752 4.8685 4.4452 4.1309 3.8876 3.6928 3.5325 2.7455 2.1021 1.9459 1.6728 12.522 7.8971 6.1636 5.2305 4.6384 4.2251 3.9181 3.6798 3.4886 3.3315 2.555 1.9043 1.7394 1.4259 12.384 7.7962 6.0782 5.1523 4.5648 4.1546 3.8494 3.613 3.4233 3.2669 2.4938 1.8397 1.6706 1.3329 12.316 7.7471 6.0354 5.1132 4.5284 4.1196 3.8158 3.5802 3.3911 3.2353 2.4638 1.8075 1.6362 1.2816 12.276 7.718 6.0099 5.0904 4.5065 4.0986 3.7958 3.5607 3.372 3.2164 2.4459 1.7883 1.6154 1.2483 12.249 7.698 5.9931 5.075 4.492 4.085 3.7826 3.5475 3.3592 3.2039 2.4338 1.7754 1.6015 1.2246 12.231 7.6843 5.9808 5.0641 4.482 4.0754 3.773 3.5384 3.3501 3.1951 2.4254 1.7663 1.5916 1.2066 12.216 7.6734 5.9722 5.0559 4.4743 4.0682 3.7662 3.5316 3.3433 3.1882 2.419 1.7594 1.5842 1.1925 12.205 7.6652 5.9654 5.0495 4.4683 4.0623 3.7603 3.5261 3.3378 3.1832 2.414 1.7541 1.5784 1.1811

1000 12.195 7.6589 5.9599 5.0445 4.4638 4.0577 3.7562 3.5218 3.3338 3.1791 2.4102 1.7499 1.5737 1.1715 1500 12.169 7.6398 5.9431 5.0295 4.4492 4.0441 3.743 3.5088 3.3212 3.1666 2.3983 1.7371 1.5597 1.1404 2000 12.154 7.6298 5.9345 5.0218 4.442 4.0372 3.7362 3.5025 3.3149 3.1605 2.3924 1.7307 1.5527 1.1227 10000 12.124 7.607 5.9154 5.004 4.4251 4.0213 3.7207 3.4875 3.3001 3.1457 2.3784 1.7154 1.5359 1.068

alfa = 0.0001 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 2

grados de libertad del numerador 3 4 5 6 7 8 9 10 20 60 100 10000

4E+07 5E+07 5E+07 6E+07 6E+07 6E+07 6E+07 6E+07 6E+07 6E+07 6E+07 6E+07 6E+07 6E+07 10014 10014 10014 10014 10014 10014 10014 10014 10014 10014 10014 10014 10014 10014 784.17 694.77 659.38 640.75 627.71 620.26 614.67 609.08 605.36 603.5 588.6 581.15 577.42 575.56 241.68 197.91 181.14 171.83 166.24 162.05 159.26 156.93 155.53 154.13 147.61 142.96 142.03 140.63 124.8 97.09 86.38 80.559 76.834 74.506 72.643 71.246 70.082 69.267 65.193 62.282 61.7 60.885 82.422 61.584 53.667 49.418 46.741 44.936 43.539 42.55 41.735 41.095 38.068 35.914 35.507 34.808 62.166 45.169 38.65 35.216 33.062 31.549 30.501 29.628 28.987 28.464 25.961 24.243 23.865 23.341 50.699 35.972 30.443 27.474 25.64 24.36 23.429 22.701 22.148 21.682 19.558 18.044 17.724 17.259 43.481 30.326 25.408 22.759 21.1 19.965 19.15 18.51 17.986 17.579 15.687 14.319 14.043 13.621 38.592 26.543 22.032 19.631 18.132 17.084 16.327 15.745 15.28 14.901 13.155 11.903 11.642 11.249 35.041 23.865 19.66 17.419 16.022 15.047 14.348 13.795 13.373 13.024 11.394 10.215 9.9826 9.6043 32.422 21.857 17.899 15.789 14.465 13.562 12.893 12.384 11.976 11.642 10.099 8.9931 8.7603 8.411 30.384 20.314 16.56 14.552 13.286 12.427 11.787 11.307 10.914 10.601 9.1241 8.0618 7.8435 7.5015 28.755 19.092 15.483 13.577 12.369 11.54 10.928 10.456 10.084 9.7862 8.3674 7.3414 7.1232 6.7957 27.445 18.103 14.639 12.777 11.627 10.819 10.23 9.7789 9.4224 9.1313 7.7562 6.763 6.5556 6.2319 26.368 17.302 13.926 12.136 11.016 10.23 9.6625 9.2259 8.8767 8.6002 7.2614 6.2937 6.0863 5.7698 25.437 16.618 13.344 11.598 10.506 9.7498 9.1895 8.7675 8.4256 8.1491 6.8503 5.9008 5.6971 5.3878 24.651 16.036 12.849 11.147 10.07 9.3351 8.7894 8.3746 8.0472 7.778 6.5047 5.5697 5.3697 5.0677 23.982 15.541 12.42 10.754 9.7061 8.9858 8.4547 8.0472 7.7198 7.4579 6.2064 5.2896 5.0932 4.7912 23.399 15.119 12.049 10.419 9.386 8.6802 8.1563 7.7562 7.4397 7.1814 5.9517 5.0459 4.8531 4.5547 22.876 14.741 11.729 10.121 9.1095 8.411 7.9017 7.5088 7.1959 6.9413 5.7298 4.8349 4.6421 4.3474 22.439 14.406 11.438 9.8589 8.8694 8.1782 7.6761 7.2905 6.9776 6.7303 5.5334 4.6493 4.4602 4.1655 22.032 14.115 11.19 9.6334 8.6511 7.9744 7.476 7.0941 6.7885 6.5411 5.3624 4.4856 4.2965 4.0036 21.653 13.853 10.965 9.4224 8.4547 7.7926 7.2978 6.9194 6.6211 6.3737 5.2096 4.3401 4.1509 3.8599 21.333 13.621 10.761 9.2405 8.2873 7.6252 7.1377 6.7666 6.4683 6.2246 5.0713 4.2091 4.0218 3.7307 21.042 13.402 10.579 9.0731 8.1272 7.4724 6.9922 6.6248 6.3301 6.09 4.9477 4.0909 3.9036 3.6143 20.78 13.213 10.412 8.9203 7.989 7.3414 6.8649 6.4974 6.2064 5.9699 4.8349 3.9836 3.798 3.5088 20.518 13.031 10.259 8.7821 7.858 7.2177 6.7448 6.381 6.0936 5.8571 4.733 3.8872 3.7016 3.4124 20.3 12.864 10.121 8.6584 7.7416 7.105 6.6357 6.2792 5.9918 5.7553 4.6384 3.798 3.6125 3.3251 9.1277 7.7598 6.8976 6.301 5.8644 5.5261 5.2569 5.035 3.9763 3.1641 2.9813 2.6903 20.096 12.718 9.9972 8.542 7.6325 6.9995 6.5374 6.1809 5.8972 5.6643 4.5547 3.7162 3.5325 3.2433 18.67 11.7 17.884 11.132 8.6511 7.3305 6.4974 5.9226 5.497 5.1696 4.9076 4.6948 3.6634 2.8631 2.6794 2.3829 17.375 10.783 8.3528 7.0577 6.2464 5.6825 5.2678 4.9477 4.6912 4.482 3.4688 2.6721 2.4884 2.1855 17.026 10.536 8.1491 6.8758 6.0754 5.5188 5.1095 4.793 4.5402 4.3347 3.3342 2.5411 2.3565 2.0464 16.778 10.354 7.9963 6.7375 5.9481 5.3988 4.9949 4.6821 4.4329 4.2292 3.236 2.4456 2.2592 1.9431 16.589 10.223 7.8799 6.6357 5.8535 5.3078 4.9076 4.5984 4.351 4.1473 3.1614 2.3729 2.1846 1.8626 16.429 10.114 7.7926 6.5556 5.7771 5.2387 4.8385 4.5311 4.2855 4.0836 3.1032 2.3151 2.1264 1.7985 15.76 9.6479 7.3996 6.2064 5.4533 4.9295 4.5438 4.2455 4.0054 3.8108 2.8531 2.0646 1.8672 1.497 15.556 9.4988 7.276 6.0936 5.3478 4.8312 4.4492 4.1546 3.9181 3.7235 2.773 1.9836 1.7826 1.3858 15.447 9.426 7.2177 6.039 5.2969 4.7839 4.4038 4.1091 3.8744 3.6816 2.7339 1.9436 1.7403 1.3252 15.381 9.3823 7.1777 6.0063 5.2678 4.7548 4.3765 4.0818 3.849 3.6562 2.7103 1.9195 1.7149 1.286 15.338 9.3532 7.1559 5.9845 5.2478 4.7366 4.3583 4.0654 3.8308 3.6398 2.6948 1.904 1.698 1.2583 15.309 9.3351 7.1377 5.9699 5.2332 4.7221 4.3456 4.0527 3.8181 3.6271 2.6839 1.8927 1.6857 1.2374 15.294 9.3169 7.1232 5.959 5.2241 4.713 4.3347 4.0436 3.809 3.618 2.6757 1.884 1.6769 1.2209 15.272 9.3059 7.1159 5.9481 5.2132 4.7039 4.3274 4.0363 3.8035 3.6107 2.6694 1.8777 1.6698 1.2076

1000 15.265 9.2987 7.1086 5.9408 5.2078 4.6984 4.3219 4.0309 3.7962 3.6052 2.6648 1.8722 1.6641 1.1964 1500 15.221 9.2696 7.0831 5.919 5.1878 4.6803 4.3037 4.0127 3.7799 3.5889 2.6494 1.8563 1.6471 1.1603 2000 15.199 9.255 7.0722 5.9099 5.1787 4.6712 4.2946 4.0036 3.7726 3.5816 2.6421 1.8485 1.6387 1.14 10000 15.149 9.2186 7.0431 5.8844 5.155 4.6493 4.2728 3.9836 3.7517 3.5616 2.6239 1.8299 1.6182 1.0772