Tablas F Fisher.pdf

Tabla 5.VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 - α =0.9 ν1 = grados de libertad del numerador 1 - α = P ( F ≤ fα,ν1,ν2 ) ν2 = grados de libertad del denominador ν1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ν2 1 39.864 49.500 53.593 55.833 57.240 58.204 58.906 59.439 59.857 60.195 60.473 60.705 60.902 61.073 61.220 61.350 61.465 61.566 61.658 61.740 2 8.526 9.000 9.162 9.243 9.293 9.326 9.349 9.367 9.381 9.392 9.401 9.408 9.415 9.420 9.425 9.429 9.433 9.436 9.439 9.441 3 5.538 5.462 5.391 5.343 5.309 5.285 5.266 5.252 5.240 5.230 5.222 5.216 5.210 5.205 5.200 5.196 5.193 5.190 5.187 5.184 4 4.545 4.325 4.191 4.107 4.051 4.010 3.979 3.955 3.936 3.920 3.907 3.896 3.886 3.878 3.870 3.864 3.858 3.853 3.848 3.844 5 4.060 3.780 3.619 3.520 3.453 3.405 3.368 3.339 3.316 3.297 3.282 3.268 3.257 3.247 3.238 3.230 3.223 3.217 3.212 3.207 6 3.776 3.463 3.289 3.181 3.108 3.055 3.014 2.983 2.958 2.937 2.920 2.905 2.892 2.881 2.871 2.863 2.855 2.848 2.842 2.836 7 3.589 3.257 3.074 2.961 2.883 2.827 2.785 2.752 2.725 2.703 2.684 2.668 2.654 2.643 2.632 2.623 2.615 2.607 2.601 2.595 8 3.458 3.113 2.924 2.806 2.726 2.668 2.624 2.589 2.561 2.538 2.519 2.502 2.488 2.475 2.464 2.454 2.446 2.438 2.431 2.425 9 3.360 3.006 2.813 2.693 2.611 2.551 2.505 2.469 2.440 2.416 2.396 2.379 2.364 2.351 2.340 2.330 2.320 2.312 2.305 2.298 10 3.285 2.924 2.728 2.605 2.522 2.461 2.414 2.377 2.347 2.323 2.302 2.284 2.269 2.255 2.244 2.233 2.224 2.215 2.208 2.201 11 3.225 2.860 2.660 2.536 2.451 2.389 2.342 2.304 2.274 2.248 2.227 2.209 2.193 2.179 2.167 2.156 2.147 2.138 2.130 2.123 12 3.177 2.807 2.606 2.480 2.394 2.331 2.283 2.245 2.214 2.188 2.166 2.147 2.131 2.117 2.105 2.094 2.084 2.075 2.067 2.060 13 3.136 2.763 2.560 2.434 2.347 2.283 2.234 2.195 2.164 2.138 2.116 2.097 2.080 2.066 2.053 2.042 2.032 2.023 2.014 2.007 14 3.102 2.726 2.522 2.395 2.307 2.243 2.193 2.154 2.122 2.095 2.073 2.054 2.037 2.022 2.010 1.998 1.988 1.978 1.970 1.962 15 3.073 2.695 2.490 2.361 2.273 2.208 2.158 2.119 2.086 2.059 2.037 2.017 2.000 1.985 1.972 1.961 1.950 1.941 1.932 1.924 16 3.048 2.668 2.462 2.333 2.244 2.178 2.128 2.088 2.055 2.028 2.005 1.985 1.968 1.953 1.940 1.928 1.917 1.908 1.899 1.891 17 3.026 2.645 2.437 2.308 2.218 2.152 2.102 2.061 2.028 2.001 1.978 1.958 1.940 1.925 1.912 1.900 1.889 1.879 1.870 1.862 18 3.007 2.624 2.416 2.286 2.196 2.130 2.079 2.038 2.005 1.977 1.954 1.933 1.916 1.900 1.887 1.875 1.864 1.854 1.845 1.837 19 2.990 2.606 2.397 2.266 2.176 2.109 2.058 2.017 1.984 1.956 1.932 1.912 1.894 1.878 1.865 1.852 1.841 1.831 1.822 1.814 20 2.975 2.589 2.380 2.249 2.158 2.091 2.040 1.999 1.965 1.937 1.913 1.892 1.875 1.859 1.845 1.833 1.821 1.811 1.802 1.794 21 2.961 2.575 2.365 2.233 2.142 2.075 2.023 1.982 1.948 1.920 1.896 1.875 1.857 1.841 1.827 1.815 1.803 1.793 1.784 1.776 22 2.949 2.561 2.351 2.219 2.128 2.060 2.008 1.967 1.933 1.904 1.880 1.859 1.841 1.825 1.811 1.798 1.787 1.777 1.768 1.759 23 2.937 2.549 2.339 2.207 2.115 2.047 1.995 1.953 1.919 1.890 1.866 1.845 1.827 1.811 1.796 1.784 1.772 1.762 1.753 1.744 24 2.927 2.538 2.327 2.195 2.103 2.035 1.983 1.941 1.906 1.877 1.853 1.832 1.814 1.797 1.783 1.770 1.759 1.748 1.739 1.730 25 2.918 2.528 2.317 2.184 2.092 2.024 1.971 1.929 1.895 1.866 1.841 1.820 1.802 1.785 1.771 1.758 1.746 1.736 1.726 1.718 26 2.909 2.519 2.307 2.174 2.082 2.014 1.961 1.919 1.884 1.855 1.830 1.809 1.790 1.774 1.760 1.747 1.735 1.724 1.715 1.706 27 2.901 2.511 2.299 2.165 2.073 2.005 1.952 1.909 1.874 1.845 1.820 1.799 1.780 1.764 1.749 1.736 1.724 1.714 1.704 1.695 28 2.894 2.503 2.291 2.157 2.064 1.996 1.943 1.900 1.865 1.836 1.811 1.790 1.771 1.754 1.740 1.726 1.715 1.704 1.694 1.685 29 2.887 2.495 2.283 2.149 2.057 1.988 1.935 1.892 1.857 1.827 1.802 1.781 1.762 1.745 1.731 1.717 1.705 1.695 1.685 1.676 30 2.881 2.489 2.276 2.142 2.049 1.980 1.927 1.884 1.849 1.819 1.794 1.773 1.754 1.737 1.722 1.709 1.697 1.686 1.676 1.667 40 2.835 2.440 2.226 2.091 1.997 1.927 1.873 1.829 1.793 1.763 1.737 1.715 1.695 1.678 1.662 1.649 1.636 1.625 1.615 1.605 50 2.809 2.412 2.197 2.061 1.966 1.895 1.840 1.796 1.760 1.729 1.703 1.680 1.660 1.643 1.627 1.613 1.600 1.588 1.578 1.568 60 2.791 2.393 2.177 2.041 1.946 1.875 1.819 1.775 1.738 1.707 1.680 1.657 1.637 1.619 1.603 1.589 1.576 1.564 1.553 1.543 70 2.779 2.380 2.164 2.027 1.931 1.860 1.804 1.760 1.723 1.691 1.665 1.641 1.621 1.603 1.587 1.572 1.559 1.547 1.536 1.526 80 2.769 2.370 2.154 2.016 1.921 1.849 1.793 1.748 1.711 1.680 1.653 1.629 1.609 1.590 1.574 1.559 1.546 1.534 1.523 1.513 90 2.762 2.363 2.146 2.008 1.912 1.841 1.785 1.739 1.702 1.670 1.643 1.620 1.599 1.581 1.564 1.550 1.536 1.524 1.513 1.503 100 2.756 2.356 2.139 2.002 1.906 1.834 1.778 1.732 1.695 1.663 1.636 1.612 1.592 1.573 1.557 1.542 1.528 1.516 1.505 1.494 200 2.731 2.329 2.111 1.973 1.876 1.804 1.747 1.701 1.663 1.631 1.603 1.579 1.558 1.539 1.522 1.507 1.493 1.480 1.468 1.458 500 2.716 2.313 2.095 1.956 1.859 1.786 1.729 1.683 1.644 1.612 1.583 1.559 1.537 1.518 1.501 1.485 1.471 1.458 1.446 1.435 1000 2.711 2.308 2.089 1.950 1.853 1.780 1.723 1.676 1.638 1.605 1.577 1.552 1.531 1.511 1.494 1.478 1.464 1.451 1.439 1.428 Elaborada por Irene Patricia Valdez y Alfaro. 473 8 2.514 1.821 3.678 1.568 1.157 3.736 1.575 2.543 1.400 2.639 1.486 1.821 1.194 3.260 1.700 1.189 2.359 1.109 3.817 1.041 2.621 1.111 2.807 1.424 1.678 1.911 1.358 1.584 2.504 1.711 1.552 1.815 2.036 2.723 1.392 2.795 1.946 1.476 1.144 5.766 1.528 1.751 1.641 1.428 1.168 5.894 1.512 1.949 1.707 1.742 1.517 1.471 9.281 1.459 1.655 1.528 1.453 1.885 1.666 1.533 1.565 1.668 1.482 1.391 1.890 1.681 1.942 1.699 1.229 1.562 1.176 3.779 1.479 9.091 2.671 1.911 1.928 1.506 1.938 1.607 1.689 1.594 1.377 1.742 1.298 2.576 1.584 1.746 2.544 1.522 1.800 2.495 1.497 2.595 1.805 2.538 25 1.167 63.759 16 1.287 2.166 2.620 1.640 1.650 1.593 1.261 1.762 5 3.477 9.333 60 1.773 1.194 2.639 1.647 1.272 2.608 1.800 1.536 1.430 1.749 2.638 1.462 1.805 1.843 1.562 1.698 1.647 1.027 2.476 1.490 3 5.529 62.399 1.787 1.762 2.794 62.237 100 1.176 5.657 1.292 2.282 2.808 1.915 1.769 3.α =0.399 1.382 1.686 1.763 1.175 5.660 1.809 1.389 2.696 1.979 1.650 1.052 2.823 1.295 9 2.414 1.612 21 1.629 1.198 3.672 1.558 1.853 1.919 1.722 17 1.805 1.781 1.483 1.768 1.780 3.702 1.507 1.132 2.512 1.603 1.659 1.782 3.386 2.927 62.851 1.514 2.117 2.162 2.689 1.690 1.644 1.665 1.135 4 3.346 1.458 9.537 1.827 2.404 2.921 1.625 1.834 1.9 1 .686 1.523 2.232 2.486 9.801 15 1.757 1.095 2.208 2.284 1.815 61.803 2.333 2.479 1.738 1.160 5.103 62.443 1.261 1.726 1.145 5.742 1.126 3.590 1.304 1.735 1.677 1.795 3.561 2.759 1.107 2.723 1.100 2.816 1.409 2.864 1.438 1.791 1.730 1.837 3.496 28 1.475 9.978 1.250 1.559 1.732 1.441 1.811 2.676 1.273 1.738 1.437 1.558 1.388 1.255 2.468 1.896 1.850 14 1.857 1.036 2.886 1.720 1.677 1.770 2.207 1.905 1. VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 .952 1.698 1.622 1.933 1.448 1.391 1.572 1.382 1.178 5.517 1.923 1.583 1.767 1.493 1.162 10 2.774 1.461 1.884 1.192 2.408 1.639 1.695 1.476 2.473 1.472 1.729 1.159 2.253 90 1.412 1.916 1.425 1.268 2.258 2.828 3.546 1.178 2.336 1.786 3.180 5.467 1.841 3.751 1.660 1.573 1.013 2.606 1.149 5.842 1.627 1.551 1.800 1.264 63.493 1.826 3.715 1.680 1.793 1.440 1.808 2.756 1.529 1.005 1.583 1.437 1.407 1.834 3.232 1.730 1.581 1.671 1.838 1.103 1.355 1.630 1.969 1.493 1.652 1.383 2.321 1.135 3.407 1.731 1. .019 2.202 3.370 1.174 2.636 1.169 5.080 2.009 2.122 1.529 1.912 1.400 1.831 2.656 1.189 2.972 63.625 1.931 1.568 2.644 1.772 1.457 9.502 1.542 1.866 1.500 1.708 1.218 1.538 1.339 2.413 1.434 1.446 1.377 1.613 1.527 1.170 2.778 3.677 1.504 1.569 1.763 1.465 1.173 5.189 62.722 1.869 1.265 2.187 3.551 1.310 1.418 1.727 2.722 1.748 1.670 1.989 1.597 1.655 1.737 1.673 1.269 1.690 18 1.547 1.688 62.554 24 1.325 1.622 1.570 1.148 62.504 2.751 1.880 1.394 1.335 1.301 1.656 1.002 62.655 1.955 1.332 1.356 1.257 1.843 1.526 1.938 1.871 62.569 1.218 2.994 1.403 1.616 1.645 1.453 1.975 12 2.362 1.691 1.883 61.786 1.273 1.479 1.503 1.706 1.508 2.564 2.871 1.629 1.053 2.476 1.943 1.414 2.500 2.836 1.481 9.448 1.702 1.484 2.406 1.361 2.804 3.640 1.453 9.446 9.307 2.817 1.687 1.129 3.306 1.383 50 1.848 1.395 1.485 1.α = P ( F ≤ fα.ν1.634 1.344 1.828 1.855 1.551 1.860 1.811 1.752 2.599 1.447 1.626 1.105 2.790 3.155 2.132 3.388 1.819 3.326 1.672 1.422 1.580 2.705 1.350 1.350 1.117 2.265 62.087 2.683 1.448 9.761 1.358 1.418 1.810 1.478 1.802 1.640 1.695 1.508 1.660 1.651 1.787 1.519 1.590 1.715 1.756 2.313 1.734 2.761 1.444 9.243 1.321 2.556 1.616 1.432 1.719 1.694 1.579 1.232 1.725 7 2.191 3.451 9.611 1.448 1.147 3.365 1.885 1.501 1.728 1.136 5.831 3.711 1.462 40 1.831 1.917 1.090 2.183 2.690 1.059 11 2.889 1.011 1.669 1.450 9.659 1.591 22 1.518 1.986 1.466 9.702 1.797 1.763 1.372 1.652 1.572 1.736 1.489 1.754 1.907 13 2.245 1.289 1.223 200 1.328 2.083 2.007 63.250 1.550 1.106 1000 1.383 1.095 2.218 1.170 5.229 62.181 3.361 1.636 1.634 1.782 1.708 1.691 1.653 1.847 1.145 1.486 1.829 1.535 2.666 1.826 1.084 Elaborada por Irene Patricia Valdez y Alfaro.299 70 1.714 1.455 1.754 1.764 3.813 1.988 1.456 9.904 1.973 1.296 2 9.710 1.744 1.611 1.555 2.261 2.702 1.484 29 1.647 1.589 2.202 2.509 27 1.293 1.849 1.321 1.457 1.498 1.324 2.767 1.419 2.384 1.668 1.472 30 1.965 1.062 2.876 1.630 1.588 1.454 9.376 1.737 1.547 1.139 5.423 1.855 1.310 1.958 1.160 1.179 3.383 1.481 1.576 1.882 1.174 2.581 1.673 1.632 1.442 1.199 1.460 1.107 6 2.556 1.151 5.817 3.523 1.961 1.635 20 1.592 1.726 1.539 1.455 1.517 1.484 1.562 1.649 1.690 1.358 1.541 1.605 1.818 2.574 1.781 2.184 3.761 1.468 1.663 1.389 1.823 3.147 5.845 1.556 1.970 1.983 1.558 2.571 2.076 2.434 1.340 1.402 1.583 1.071 2.783 1.630 1.022 2.364 1.534 1.677 1.716 1.465 1.487 1.000 1.282 1.165 2.542 1.302 1.140 3.662 1.746 1.616 1.615 1.523 26 1.ν2 ) ν1 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 500 1000 ν2 1 61.558 1.209 1.364 1.571 23 1.651 1.467 1.777 1.683 1.793 1.635 1.773 1.822 2.839 1.661 19 1.539 1.157 500 1.945 62.660 1.489 9.047 2.507 1.197 1.960 1.339 1.782 1.391 1.304 1.793 1.899 1.416 1.172 5.816 1.334 1.312 1.527 1.511 1.706 1.616 1.100 2.396 2.116 3.019 2.196 2.710 1.318 1.174 3.273 80 1.683 1.480 9.667 1.342 1.395 1.026 2.439 1.467 1.594 1.515 1.374 1.873 1.877 1.031 2.182 5.492 1.348 2.087 2.607 1.596 1.015 2.242 1.392 1.055 62.621 1.277 2. Tabla 5.155 5.726 1.369 1.168 1. 421 2.958 2.656 1.071 23 4.583 230.040 2.098 2.187 3.811 5.151 2.623 2.525 2.887 1.108 2.490 2.674 1.635 2.432 2.660 2.568 4.714 2.691 1.817 1.375 2.895 1.002 1.908 3.034 3.353 2.006 2.313 3.222 2.850 1.466 246.818 2.650 2.137 2.009 2.767 238.873 5.000 19.018 2.130 2.728 2.707 224.708 1.128 2.922 2.658 2.866 2.494 3.726 1.840 1.176 2.845 2.223 2.549 2.796 1.428 2.280 2.259 3.550 3.788 2.475 2.719 2.409 5.204 2.964 5.051 2.831 1.874 7 5.817 2.411 3.772 1.803 1.948 2.993 1.155 20 4.545 2.064 2.896 3.696 2.056 1.699 2.736 2.999 1.301 3.860 3.987 5.390 2.943 2.952 1.018 2.385 2.836 1.707 2.701 2.565 2.474 2.225 2.098 2.600 3.135 3.111 2.677 3.885 1.150 2.443 3.005 2.371 19.975 1.333 2.753 1.342 2.217 2.743 2.198 2.320 2.706 2.771 1.614 1.798 1.456 2.181 2.987 1.161 3.368 2.592 3.910 1.132 2.590 4. VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 .974 1.220 2.016 2 18.636 4.259 2.667 8.254 2.790 2.203 2.137 3.768 1.769 1.739 3.863 3.056 2.184 2.192 5.477 2.230 18 4.654 1.225 3.819 1.494 2.884 3.628 2.949 246.242 3.326 3.066 3.049 2.812 1.381 3.373 2.171 3.960 1.863 1.124 2.947 3.130 2.363 245.037 2.183 3.884 240.945 30 4.722 80 3.041 2.948 2.597 1.412 19.403 3.422 3.941 8.451 3.868 1.180 2.035 2.405 19.234 2.972 1.507 2.619 4.025 2.607 1.447 2.126 2.603 2.494 2.078 2.643 1.746 1.459 4.160 233.915 2.000 3.413 2.938 3.927 1.446 199.201 2.314 2.718 1.701 2.904 1.499 215.965 2.215 2.117 4.354 2.147 4.120 3.944 6.924 1.144 2.381 2.912 5.989 2.591 6.342 2.790 2.233 2.308 2.886 1.633 3.808 1.882 242.887 8.445 8 5.424 2.276 17 4.173 2.990 27 4.839 2.104 2.340 2.978 3.211 2.190 2.026 1.982 3.763 8.917 1.290 2.397 2.256 3.287 3.988 236.340 2.337 2.604 2.063 2.316 2.785 2.199 2.717 2.007 26 4.888 3.709 6.893 1.960 3.393 2.885 3.094 6.858 5.814 1.423 2.216 2.243 2.987 1.591 2.359 2.075 2.726 3.160 2.168 2.660 4 7.127 2.845 8.202 3.965 4.286 2.236 2.989 1.230 3.032 1.999 5.381 2.167 2.740 2.027 2.138 2.927 1.661 2.179 3.278 2.265 2.373 2.852 2.950 4.368 2.515 2.699 2.533 2.316 2.366 2.554 2.708 3.256 2.166 2.302 2.840 2.682 3.226 2.310 2.143 4.685 2.183 2.417 2.889 1.096 22 4.108 2.577 2.074 2.688 248.374 3.95 ν1 = grados de libertad del numerador 1 .197 2.442 2.459 2.974 2.151 2.772 1.203 2.223 2.812 8.437 19.790 1.792 1.191 19 4.050 2.094 2.275 2.555 3.522 3.048 24 4.851 3.087 2.641 2.798 2.113 2.214 2.232 2.099 4.832 5.321 2.676 1.480 3.388 3.604 4.922 3.038 2.581 Elaborada por Irene Patricia Valdez y Alfaro.544 13 4.646 2.459 14 4.448 2.136 2.729 8.655 4.020 2.117 2.761 2.573 2.250 2.217 3.683 8.603 3.150 9 5.040 1.503 2.945 1.608 5.346 2.899 1.103 3.798 1.703 1.429 19.484 2.714 2.250 2.772 4.845 1.796 2.092 2.688 3.279 3.388 15 4.025 3.150 2.425 2.484 2.960 2.400 2.599 2.996 2.558 6 5.207 4.617 2.661 2.412 2.739 2.511 3.126 2.753 2.623 500 3.774 11 4.575 3.896 2.340 2.438 3.072 2.106 2.876 4.198 2.985 1.686 1.450 2.646 12 4.757 1.508 2.250 2.913 2.815 1.084 2.803 5 6.763 1.844 3.464 2.534 2.387 4.403 2.572 2.305 2.072 3.414 3.ν1.625 1.932 40 4.778 1.467 3.449 2.675 8.538 2.467 3.639 1.657 2.352 2.510 2.587 3.334 2.028 1.947 2.388 6.019 1.021 2.555 2.148 2.588 2.385 19.318 4.003 1.671 2.784 60 4.810 2.976 3.173 3.960 2.423 2.599 2.017 1.155 2.183 2.507 2.131 2.895 2.671 2.347 3.528 2.471 2.197 2.259 3.001 3.463 2.850 1.830 1.972 3.490 3.767 2.089 2.204 3.974 28 4.717 1.305 2.336 2.849 2.405 2.289 2.494 3.329 2.346 2.260 3.103 2.577 2.378 2.592 1000 3.325 3.948 1.420 2.446 3 10.088 2.007 1.369 2.975 2.730 1.293 3.703 8.257 2.757 4.353 2.499 2.773 2.685 2.308 2.296 19.196 3.α =0.664 1.175 2.054 2.866 3.396 19.259 2.239 3.875 1.928 1.579 4.614 2.865 2.109 2.103 2.958 1.891 5.720 1.012 2.752 1.249 2.266 2.936 5.073 3.905 244.385 2.801 1.440 19.758 2.117 9.204 2.737 4.991 2.928 2.237 3.951 1.887 2.712 1.764 2.513 19.640 2.003 1.284 4.300 2.637 2.514 2.969 1.981 243.128 9.143 2.397 2.694 1.759 2.072 2.747 3.934 2.762 1.587 2.347 4.692 8.445 2.060 4.073 2.424 19.α = P ( F ≤ fα.667 3.678 4.850 1.606 2.151 2.936 3.324 247.702 1.163 6.232 2.123 2.978 2.581 3.236 2.959 29 4.419 19.917 247.317 2.838 3.052 2.027 4.936 10 4.003 1.534 4.871 1.128 2.748 70 3.321 2.210 3.737 1.443 19.839 50 4.787 3.247 19.734 1.602 2.091 2.956 3.742 1.167 2.568 2.500 3.182 2.056 2.957 1.278 2.329 19.043 1.388 2.061 2.328 2.836 1.277 9.848 2.236 2.853 1.703 90 3.973 1.455 3.938 1.785 8.179 3.329 2.591 4.854 2.828 2.097 2.036 2.544 2.741 2.041 5.634 3.ν2 ) ν2 = grados de libertad del denominador ν1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ν2 1 161.688 100 3.995 1.095 3.921 1.473 2.456 2.548 2.583 2.413 2.844 5.637 3.075 2.558 2. Tabla 5.288 2.735 4.139 2.098 2.272 2.676 200 3.218 3.041 2.089 2.913 2.737 1.986 1.779 1.077 2.400 2.291 2.837 1.557 2.711 2.433 19.015 1.118 2.633 1.353 19.056 1.124 21 4.482 3.745 8.165 2.776 2.048 3.806 3.740 1.952 1.357 3.948 1.901 2.014 2.812 2.552 9.786 5.374 2.614 2.070 2.119 2.231 2.112 2.269 2.861 1.034 2.690 2.897 1.544 2.534 2.256 6.719 2.986 1.463 2.344 3.069 2.102 3.832 2.687 2.028 2.177 2.027 25 4.191 2.976 1.164 19.007 2.284 3.021 2.715 8.878 1.198 2.488 2.493 3.445 2.690 245.114 2.860 1.351 3.818 4.704 4.478 3.250 2.486 2.348 2.050 4.543 241.796 2.165 2.255 2.355 2.543 3.297 2.013 8. .328 16 4.621 2.821 5.111 2.529 3.085 3.282 2.156 2.109 2.793 1.283 2. 543 11 2.045 2.775 1.471 19.498 252.219 2.296 200 1.906 1.973 1.430 1.601 2.304 3.386 2.336 90 1.123 3.841 3.576 1.631 249.167 2.123 2.150 2.709 1.035 2.716 3.875 1.747 1.496 4.932 1.573 1.530 1.673 7 3.377 2.507 2.634 8.030 2.068 2.842 1.223 2.710 1.054 2.764 2.003 1.392 1.691 1.412 2.601 1.415 2.694 1.134 1.084 2.792 1.521 4.551 1.726 1.727 1.137 2.623 8.144 2.551 1.889 1.932 1.966 1.609 2.289 1.935 1.448 19.456 19.725 1.926 1.898 1.204 2.405 2.712 10 2.401 2.532 8.254 2.364 80 1.077 2.639 1.798 249.028 2.610 1.746 5.154 2.341 2.027 2.754 5.404 1.818 22 2.181 2. VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 .619 1.115 3.705 1.874 2.700 1.566 1.020 3.264 2.607 1.515 1.208 2.518 1.974 1.897 1.717 2.015 2.621 2.808 3.760 1.074 2.212 2.545 1.863 1.984 1.664 1.828 1.095 3.093 2.391 3.472 2. Tabla 5.638 8.929 1.273 1.494 19.688 5.864 2.431 2.759 1.870 1.450 19.012 2.616 1.498 2.533 2.916 1.835 3.314 2. .588 2.448 2.754 3.939 1.465 1.717 1.629 1.718 26 1.637 2.454 19.235 2.781 5.803 1.948 1.746 1.563 2.345 1.951 250.499 1.936 1.946 1.769 1.096 251.297 2.508 1.774 252.263 1.194 2.448 1.740 25 1.476 19.967 1.761 2.889 1.466 2.098 2.637 1.959 1.004 1.955 1.891 1.020 2.364 1.524 1.415 1.052 2.853 1.854 1.597 1.823 249.406 1.609 1.961 1.995 1.779 1.722 3.381 3.737 2.622 1.438 2.284 2.239 3.505 1.813 3.471 1.796 1.259 2.326 2.107 2.891 1.817 1.940 1.507 1.457 1.703 1.508 1.836 1.649 1.661 2.921 1.581 1.026 1.332 1.646 5.956 1.648 8.749 1.686 1.675 1.754 1.621 1.674 1.104 2.583 1.687 1.869 2.679 5.459 1.386 1.035 2.379 1.463 19.247 2.471 1.716 2.856 1.783 1.952 1.841 1.477 1.808 1.656 1.975 2.886 2.186 2 19.626 1.457 2.286 3.557 8.914 1.460 19.823 1.964 1.045 2.985 1.718 1.174 2.951 2.294 3.735 1.178 2.445 1.349 2.632 5 4.768 2.581 8.307 248.084 3.726 1.996 1.131 3.302 13 2.893 2.419 1.147 2.664 1.142 2.884 1.308 1.771 1.398 2.516 1.990 1.α = P ( F ≤ fα.010 1.711 1.563 1.090 3.596 1.945 1.932 1.599 1.897 1.883 1.212 14 2.598 1.771 1.872 1.140 3.267 2.534 1.102 2.630 8.α =0.261 2.776 2.376 3.926 2.582 2.690 1.994 1.626 2.280 2.653 1.662 29 1.913 1.693 1.160 2.678 3.629 1.999 1.724 1.533 1.826 2.404 3.829 3.078 2.119 2.984 1.823 3.664 5.376 1.497 1.112 2.754 1.066 2.124 2.869 1.490 2.426 2.196 252.576 2.220 2.699 5.106 2.617 1.417 1.913 1.842 1.685 1.321 1.077 2.695 1.478 2.482 1.528 1.227 2.252 3.138 1000 1.663 1.260 1.206 2.444 4.399 70 1.073 2.003 1.787 5.921 1.407 1.637 1.880 2.967 1.491 1.134 2.529 4 5.071 2.561 1.908 2.558 1.917 2.314 100 1.190 2.946 1.374 1.993 1.307 2.862 1.426 3.919 1.740 3.882 1.020 1.288 1.787 1.849 3.478 2.826 1.825 1.901 1.059 2.491 19.397 3.768 1.690 3.594 2.168 2.159 2.593 1.450 1.528 1.515 4.662 1.965 1.915 1.980 1.241 2.770 1.549 4.947 1.754 2.464 4.469 2.347 1.510 4.526 1.924 1.092 2.322 1.764 24 2.938 1.037 2.187 2.892 1.405 4.650 1.ν2 ) ν1 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 500 1000 ν2 1 248.491 1.981 1.586 1.710 2.922 1.495 3 8.914 1.410 3.864 1.326 1.725 1.372 2.014 2.205 500 1.490 1.712 1.566 8.534 1.210 2.410 12 2.450 1.602 1.636 2.823 1.488 1.542 1.769 5.386 3.332 1.849 1.244 2.839 1.705 2.938 1.130 2.868 1.609 1.429 1.984 1.481 19.930 1.346 1.072 16 2.485 19.426 1.043 3.609 2.455 1.750 5.151 2.856 1.669 1.481 1.483 19.717 5.429 2.095 2.340 3.577 1.005 2.320 2.114 2.966 1.415 4.790 23 2.502 1.566 1.988 1.415 1.559 1.422 4.738 1.342 1.280 3.875 1.95 1 .679 28 1.803 1.108 3.654 1.022 2.774 5.731 2.462 2.814 1.358 1.900 2.541 4.314 2.126 2.759 5.528 1.910 1.505 4.392 2.875 1.193 2.745 2.482 1.630 40 1.484 1.005 1.677 1.939 1.793 1.457 19.505 2.500 4.436 1.923 19 2.572 1.978 1.463 1.759 1.058 2.856 3.785 1.816 1.059 2.887 1.940 1.800 1.635 5.910 1.459 19.681 1.ν1.845 1.660 1.830 1.323 2.946 1.806 1.929 1.961 1.850 21 2.756 2.787 2.525 1.553 1.891 1.431 4.980 2.854 1.723 2.554 8.367 2.234 8 3.865 3.997 1.820 1.634 1.722 1.517 1.978 1.038 2.847 1.266 2.993 1.373 4.461 19.016 2.303 1.919 1.665 1.090 2.453 249.740 1.627 1.638 1.234 2.712 3.626 8.891 1.994 2.561 8.063 2.190 1.551 1.083 2.486 19.369 6 3.654 8.668 5.527 4.902 1.733 1.751 1.218 2.909 1.516 1.634 1.788 1.696 1.676 254.617 2.063 2.775 1.737 1.420 2.608 1.275 2.570 2.043 253.221 1.084 2.645 30 1.589 1.438 1.479 19.776 1.947 1.200 2.675 1.803 2.950 1.986 2.523 2.023 2.531 2.763 5.025 2.708 1.644 1.106 2.363 1.045 2.036 2.308 1.991 1.113 2.572 8.748 1.539 1.876 1.643 8.689 1.540 1.921 1.673 5.123 2.486 1.594 8.082 2.159 2.601 2.288 2.807 1.730 2.534 4.075 2.907 1.363 2.048 2.319 3.758 1.967 18 2.908 1.650 1.730 3.062 254.039 1.975 1.409 4.710 1.588 2.850 1.356 2.723 252.357 2.136 15 2.905 1.973 1.818 3.144 251.102 3.491 2.540 8.907 1.620 8.932 9 2.878 1.160 2.484 2.790 1.133 2.052 249.275 3.937 2.865 1.660 1.698 27 1.767 1.201 2.297 2.702 1.385 4.333 2.884 20 2.898 253.822 1.806 1.517 50 1.079 3.791 1.544 1.272 2.148 2.514 2.159 1.380 2.861 1.452 19.885 1.795 5.594 2.265 2.308 2.883 1.761 1.199 2.448 60 1.875 1.797 1.350 2.766 1.210 1.594 1.654 1.017 2.435 3.700 2.384 2.742 1.316 2.617 8.479 1.110 Elaborada por Irene Patricia Valdez y Alfaro.548 2.742 1.409 1.774 3.016 17 2.253 2.260 249.646 1.275 1.418 3.589 1.579 248.141 2.955 1.966 1.339 2.637 1.179 2.306 2.672 1.901 1.402 1.039 2.744 1. 633 2.576 2.063 2.050 3.321 2.563 2.525 6.119 4.885 14.904 1.709 4.969 1.534 2.136 2.049 2.005 2.184 5.474 3.289 3.366 5.664 3.442 2.321 3.441 2.475 3.916 1.147 3.778 500 5.730 2.730 2.850 2.233 2.329 6 8.676 2.542 5.213 2.107 2.344 6.373 39.751 8.684 8.226 12 6.871 4.986 2.412 2.681 2.817 2.523 5.349 3.279 968.720 2.939 1.383 3.077 2.634 973.813 2.874 2.291 2. .434 2.055 2.309 2.715 8.773 2.206 3.633 8.521 4.305 14.633 4.443 16.095 2.651 2.804 3.476 2.502 3.698 2.270 2.611 2.176 2.095 3.061 2.819 3.546 2.179 2.253 28 5.313 2.929 1.746 2.649 9.820 5.381 2.611 8.158 2.853 6.892 3.209 3.988 5.242 3.507 2.462 2.764 7.958 1.456 6.695 5.903 3.744 3.056 2.074 2.196 3.389 23 5.128 3.280 2.983 2.256 4.448 2.668 2.388 2.483 4.298 2.275 4.331 39.177 3.250 3.334 2.547 2.559 3.154 2.925 3.553 2.343 3.082 3.715 990.277 3.753 2.701 3.817 4.666 4.232 14.307 3.779 2.483 2.955 1.307 2.687 4.866 2.427 39.319 3.925 1.357 4.271 2.452 2.717 4.051 2.432 2.054 2.844 8.590 2.488 6.835 937.357 24 5.589 3.200 4.774 2.667 2.670 3.166 39.786 4.337 2.602 2.244 5.474 4.575 2. VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 .868 3.592 2.437 2.905 1.209 5.388 7.261 3.086 2. Tabla 5.937 5.974 1.974 1.816 1.053 4.596 4.999 9 7.182 3.168 7 8.844 15 6.250 3.341 3.904 2.717 3.071 2.282 3.911 988.738 2.793 799.862 2.588 3.844 1.424 4.884 1.554 5.372 2.197 3.277 3.545 984.081 2.300 2.152 3.786 2.090 2.232 29 5.362 6.677 2.260 6.657 8.697 2.255 2.978 6.571 2.036 2.945 2.442 39.006 1.881 3.543 4.619 4.969 2.415 3.833 2.652 2.078 4.421 2.592 2.015 1.891 2.273 2.430 2.105 2.330 3.820 1.501 4.247 3.250 2.846 1.028 976.398 39.868 1.950 2.415 39.096 4.276 27 5.756 16 6.621 3.948 1.452 2.123 3.129 2.010 1.394 2.547 2.265 3.993 60 5.870 2.083 2.472 2.384 2.093 2.077 3.497 2.156 3.628 4.000 1.891 3.387 39.167 4 12.839 2.179 3.631 2.779 3.711 2.417 2.949 2.237 2.248 39.420 3.355 2.999 1.653 2.059 2.744 2.243 4.429 2.570 2.837 2.496 3.568 6.995 4.474 2.081 2 38.026 2.579 2.008 1.100 3.408 3.674 2.183 3.285 3.900 2.121 3.683 3.200 4.236 4.923 2.440 3.922 4.151 899.286 3.435 3.072 3.411 2.975 2.859 3.124 2.948 14 6.560 5 10.523 5.889 2.338 2.425 22 5.381 6.114 948.291 3.494 2.827 4.386 2.269 5.879 1.979 9.ν1.484 4.100 3.767 3.102 4.440 2.374 2.541 2.129 3.912 3.975 3.917 2.652 4.172 3.643 963.448 3 17.851 2.716 3.213 2.007 2.965 2.813 7.823 4.610 4.529 4.388 3.550 3.899 4.203 956.140 2.012 1.395 2.811 2.417 2.902 2.731 2.473 14.060 3.353 3.407 2.162 4.839 982.277 14.874 986.722 3.526 2.227 5.347 3.463 3.312 3.α =0.721 3.783 3.615 2.789 1.849 200 5.864 3.624 14.529 2.880 2.792 2.011 3.552 2.090 3.626 3.884 2.285 5.215 3.900 1.374 2.687 2.782 2.439 39.817 2.874 2.374 3.696 2.051 2.794 8.724 5.466 2.803 1.600 5.194 2.248 2.044 3.182 2.314 2.288 2.101 4.355 2.344 2.073 6.763 2.929 1.461 5.975 ν1 = grados de libertad del numerador 1 .033 2.243 3.903 2.826 4.526 3.439 15.950 3.074 8.364 9.054 4.ν2 ) ν2 = grados de libertad del denominador ν1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ν2 1 647.540 14.607 3.723 2.798 3.978 4.221 3.617 2.129 2.115 4.758 3.979 2.665 3.019 1.101 14.985 2.390 2.884 90 5.390 3.963 2.218 3.576 3.304 3.182 2.044 2.769 3.000 39.365 2.468 2.682 2.515 2.126 2.814 2.870 1.300 26 5.667 10 6.501 2.950 1.715 5.985 1.627 2.640 2.956 2.890 5.334 2.012 2.054 3.564 2.922 2.608 3.844 3.111 2.759 3.848 2.042 4.836 2.474 3.591 2.374 14.061 2.360 2.140 2.419 11 6.433 4.126 2.231 2.338 2.216 2.855 3.061 2.765 4.890 1.146 6.458 2.294 2.318 2.932 1.630 2.407 39.039 3.239 3.800 993.799 2.735 14.416 5.568 4.729 3.613 2.213 30 5.340 3.640 2.108 3.750 4.016 3.703 2.890 3.430 3.971 1.292 2.076 4.831 3.892 1.414 4.033 2.073 13 6.669 2.647 2.351 2.213 14.421 39.934 2.263 2.595 2.825 2.944 70 5.438 3.586 2.329 3.364 2.735 2.419 14.696 2.007 8.027 3.757 1.721 2.155 2.169 2.929 1.218 10.298 39.267 3.965 4.964 1.139 2.498 2.297 5.630 4.707 2.345 991.109 2.934 2.293 3.765 2.528 2.034 4.436 3.286 3.969 2.531 2.313 2.694 3.113 2.824 2.467 8 7.647 2.913 2.277 2.925 2.568 4.560 3.003 1.448 2.507 2.115 3.502 2.053 3.360 2.475 2.468 4.501 3.508 3.861 2.599 6.284 2.320 4.575 8.763 2.335 2.864 100 5.603 2.325 2.α = P ( F ≤ fα.436 39.968 1.637 2.302 2.217 2.142 2.250 3.446 39.995 2.599 921.506 39.529 2.725 979.703 3.514 2.387 2.068 50 5.464 21 5.221 3.802 2.511 2.604 9.329 5.337 14.327 25 5.482 2.129 2.932 2.129 2.204 2.717 2.905 8.619 6.216 2.964 3.333 3.450 2.426 2.201 3.222 5.913 1.560 2.857 4.153 3.754 2.197 4.345 2.256 2.779 1.617 2.403 6.382 3.598 2.251 2.259 2.722 Elaborada por Irene Patricia Valdez y Alfaro.035 2.242 3.026 3.761 2.728 3.512 3.130 4.522 3.411 2.718 4.392 3.456 4.004 2.765 1.059 5.244 2.453 3.750 3.954 3.008 2.808 2.412 2.798 1.788 2.659 4.729 2.996 3.461 3.616 18 5.044 15.356 39.663 3.379 2.980 8.828 3.153 3.469 2.195 40 5.665 3.270 2.183 2.859 1.023 2.571 6.798 2.757 6.483 3.743 1.253 14.409 2.219 3.604 3.434 7.125 3.213 2.592 8.380 3.537 2.681 17 6.637 2.588 4.199 3.536 2.786 2.008 2.509 20 5.769 2.736 1000 5.317 2.028 1.092 2.673 2.202 5.410 5.568 2.559 19 5.295 4.428 6.983 1.251 2.482 864.923 2.431 39.051 3.515 3.181 14.359 3.458 2.681 6.058 2.700 2.647 3.761 4.910 80 5.929 2.472 2.583 3.830 1.523 2.265 2.567 2.491 2.753 2.867 2.196 14.336 2.317 2.879 2.298 4.607 3.573 2.596 2.379 3.416 2.178 2.686 4.624 2.197 9. 787 1.493 39.007 1.170 2.057 3.599 1.325 2.814 1.546 8.396 2.807 3.132 Elaborada por Irene Patricia Valdez y Alfaro.905 2.345 2.652 3.491 2.169 3.211 3.515 2.735 1.665 2.244 2.795 1.319 3.355 3.654 1.455 39.862 2.531 1.111 2.110 2.700 1.178 2.287 2.272 2.505 3.652 2.120 2.507 1.585 2.611 2.259 2.627 1.080 2.182 3.835 1.441 2.784 3.484 39.506 2.380 2.396 2.377 3.964 2.197 3.308 2.943 1.918 3.255 3.266 2.196 2.979 2.449 80 1.227 6.923 1.956 2.568 3.644 2.162 3.839 29 2.503 2.429 2.634 2.814 1.453 2.216 2.116 3.007 1.107 14.800 1.312 2.048 2.481 39.591 1.600 2.276 4.152 3.962 13.097 5.761 2 39.ν2 ) ν1 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 500 1000 ν2 1 994.592 1.029 2.128 5.333 2.269 1.181 2.758 1.908 4 8.817 30 2.573 2.190 2.603 1.107 6.557 60 1.344 2.004 2.703 1.052 2.594 2.462 39.492 8.677 9 3.584 3.256 18 2.896 1.299 2.832 1.691 1.538 2.332 1.894 3.495 70 1.223 2.576 3.124 14.576 2.407 1.857 1.885 1.954 1.405 1005.411 2.337 2.401 1.146 2.022 6 5.959 4.061 3.411 2.083 2.467 1.712 1.378 4.705 3.527 1.752 1.679 2.915 26 2.092 2.474 2.065 5.576 1.024 1.740 2.324 17 2.151 2.008 2.741 1.314 6.818 2.800 2.142 3.648 50 1.035 2.956 13.560 3.032 2.385 2.117 5.900 1.988 2.830 1.301 6.560 2.486 39.163 1015.882 2.390 3.299 2.386 4.198 3.335 8.278 6.201 2.395 4.229 2.888 27 2.345 3.815 1.351 996.581 1.976 1.497 3 14.415 2.945 1.952 1.439 4.219 2.363 200 1.994 1.421 3.134 14.010 13.174 2.610 1.045 2.526 2.992 13.154 5.503 2.483 8.913 13.093 14.230 1.α = P ( F ≤ fα.086 2.234 6.701 2.162 1.447 1.532 1.091 2.414 90 1.222 2.021 2.093 2.572 2.463 39.118 2.823 1001.386 100 1.420 2.516 1.739 3.848 2.403 16 2.166 1000 1.853 2.296 2.221 3.255 2.430 2.890 12 3.474 1.963 2.163 2.783 1.969 1.478 2.137 2.250 6.289 2.872 2.295 2.125 2.744 2.796 1.209 2.208 2.251 2.971 3.684 1.425 1.614 2.155 14.925 1.789 2.408 2.779 1.756 3.028 1.673 1.906 2.405 4.043 3.435 2.684 3.570 1.898 2.674 2.569 1.764 1.982 1.680 2.316 1.182 2.184 3.603 1.448 2.519 2.911 1.724 1017.144 14.415 4.846 1.282 2.269 2.503 1.643 1.098 1009.475 8.447 2.107 2.227 4.614 1.542 1000.102 2.465 2.640 1.182 2.368 3.081 14.303 995.340 10 3.157 2.522 8.669 1.789 1.558 1.326 8.325 2.625 1.434 2.909 3.927 1.660 1.242 6.876 1.205 2.835 1.072 5.845 1.128 2.210 4.060 2.468 8.731 1.449 3.087 998.171 2.433 3.540 1.156 4.336 1.458 39.209 2.496 39.808 2.087 6.335 2.543 1.987 2.638 2.628 1.133 2.944 1.288 8.026 2.101 2.276 2.717 1.596 1008.192 1.118 3.970 13.445 1.442 2.555 1.770 1.034 2.411 3.378 1.012 4.103 2.268 6.452 39.111 2.107 5.892 1.352 1.524 2.358 2.195 2.171 2.163 2.599 1.167 2.426 4.500 1.807 1.574 1.280 2.270 2.515 1.161 2.699 1.667 1.981 1.651 2.772 1.915 4.406 1.194 2.121 2.781 1.882 4.205 2.952 1.768 3.258 6.657 1.254 1.751 1.217 2.465 39.629 1.638 3.703 2.152 3.360 8.596 1.381 8.131 2.945 25 2.092 2.725 1.720 2.862 28 2.047 2.543 2.250 500 1.918 2.309 4.979 1.787 1011.136 2.746 1.931 1.847 1.450 39.685 1.332 2.333 2.393 1.641 1.892 1.806 1.911 1012.502 2.150 2.365 3.980 1.403 3.349 2.133 3.284 2.820 1.774 1.329 2.384 2.428 1.137 2.452 4.217 2.148 2.254 4.740 2.190 2.199 2.945 1.637 2.094 3.501 8.837 2.603 14 2.472 3.759 1.895 1.758 2.362 4. VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 . Tabla 5.357 2.583 2.176 4.843 999.269 2.321 2.762 1.195 19 2.340 2.204 2.320 1.871 2.733 13 2.088 5.604 1.614 3.979 13.667 1.208 2.937 3.452 2.971 2.799 1.370 1.803 1.150 2.626 3.499 1.230 2.487 39.959 3.176 2.087 11 3.763 1.726 2.080 6.660 2.246 2.461 39.987 1.086 14.463 1.752 1.317 2.778 2.617 1.690 2.558 1.959 1.142 2.380 2.923 4.862 4.ν1.482 2.264 5 6.079 2.006 1.798 1.210 2.394 1.975 1 .924 1.861 1.112 2.954 1.528 2.974 2.237 2.099 2.320 2.357 2.715 1.141 5.031 3.939 1.319 8.661 1.α =0.927 3.370 4.510 2.597 2.065 2.496 1.875 1.124 2.074 2.242 2.835 1.420 1.287 2.056 2.347 2.051 2.445 2.655 1.051 22 2.533 8.827 1.801 2.094 21 2.473 39.780 2.549 2.640 1.471 2.149 8 3.698 1.373 2.080 5.217 2.659 1.998 2.901 3.749 2.478 39.112 2.009 1011.986 1.036 14.848 1.511 8.053 2.311 2.947 3.904 1.656 1.565 2.309 2.402 2.548 2.584 2.405 2.394 2.278 2.875 1.932 1.959 1.069 2.239 2.828 2.289 2.459 39.509 2.922 1.977 24 2.423 1.744 1.493 2.269 2.640 1.632 1.932 2.237 1017.606 1.966 1.174 2.226 2.721 1.472 2.671 2.142 2.943 4.218 4.689 2.830 1.940 1.123 6.090 2.604 3.077 2.175 6.866 1.882 1.048 6.980 4.457 39.893 2.991 1.831 2.866 1.810 1.603 2.348 2.919 1.669 2.149 2.968 1.483 1.614 2.821 1.247 2.681 1.972 1.019 3.230 2.144 6.226 2.160 3.173 3.610 1013.303 2.855 1.686 1.257 2.562 1.825 1.002 1.356 2.929 13.375 2.017 2.833 1.585 1.679 1.551 1.183 2.165 2.403 3.840 3.996 1.411 8.461 2.009 1.882 1.960 1.845 2.362 2.650 1.130 2.060 2.366 2.405 2.713 2.100 14.698 1.511 1.856 7 4.726 1.707 1.585 2.568 2.246 2.897 1.145 2.462 1.529 2.901 1.747 3.962 1.481 2.495 15 2.670 1.027 3.240 1000.985 3.869 1.096 6.128 2.763 2.907 1.732 2.850 1.784 1.920 1.264 2.289 6.983 1.341 997.184 2.625 2.920 2.020 2.512 1.161 2.461 8.741 1.005 1.012 23 2.814 2.256 2.013 1.028 6.125 3.187 2.142 20 2.249 2.327 3.346 8.742 1.179 2.872 1.488 39.270 8.140 2.594 3.154 2.932 4. .409 2.611 1.441 1.115 14.394 2.767 2.236 2.368 2.752 1.740 2.351 1.420 2.335 3.911 1.272 998.311 3.877 1.376 1.797 40 2.176 2.347 3.237 2.493 2.289 2.239 4. 313 2.074 3.199 3.203 2.359 5.926 5.220 4.780 3.088 3.952 1.473 3.339 3.400 6.114 14.960 3.442 2.141 2.099 12 9.993 6.437 4.538 6.242 3.977 4.257 5763.824 3.286 2.206 2.057 5.451 7.801 2.452 3.632 2.406 3.217 3.640 4.818 3.477 5.699 26 7.826 26.217 5.976 14.265 2.166 2.074 3.412 5.140 3.538 4.003 20 8.064 4.838 2.620 6.513 3.523 3.808 10 10.871 3.819 2.013 5.045 3.351 5.213 4.772 4.466 8.432 6200.198 14.970 1.682 6125.636 5.547 8.088 100 6.044 7.149 3.172 2.336 4.334 5980.132 27.119 3.096 5.372 16 8.185 4999.467 5.705 3.780 2.780 9.422 6.519 7.780 4.500 4.177 3.924 4.299 3.448 99.415 2.770 9.316 5.662 2 98.456 4.930 2.173 3.092 4.129 2.032 2.780 24 7.579 4.828 3.324 3.000 16.212 3.893 2.695 4.461 2.855 3.035 4.718 7.251 99.992 6.669 4.422 7.716 3.941 2.036 2.827 23 7.719 4.457 3.657 2.983 1.357 99.460 7.180 4.931 2.457 28.547 2.312 3.520 4.386 5.860 4.825 9.689 3.682 3.346 3.103 3.162 18 8.719 26.800 3.209 6.657 7.659 14.574 30 7.656 2.799 14.234 2.228 3.338 3.931 2.843 2.314 5.296 4.363 3.864 3.971 500 6.694 2.318 4.191 6.172 2.188 6191.845 2.441 4.101 3.551 2.185 4.399 6106.268 2.691 3.832 2.419 99.353 3.730 2.539 4.754 3.699 3.302 4.265 2.437 99.292 4.993 2.126 3.457 3.590 2.631 3.251 2.420 4.857 3.725 3.791 3.246 9.663 2.785 2.672 2.430 2.977 2.116 30.805 2.489 27.815 3.601 2.508 2.664 4.726 2.616 3.030 2.240 6.433 99.993 2.814 5.002 1.883 3.110 2.148 8.824 2.469 6.112 5.396 7 12.409 3.522 2.939 3.626 3.123 4.983 26.665 2.894 2.580 9.313 3.510 4.625 2.259 8.102 7.293 4.727 2.339 2.371 3.767 2.169 2.763 4.451 2.953 2.178 6.185 5.874 7.057 4.627 3.710 3.786 26.388 3.939 3.683 2.171 5.029 5.994 5.186 3.890 3.408 3.302 99.558 3.150 4.881 5.556 4.524 2.816 29.394 2.425 2.164 99.945 5.330 3.770 5.018 2.206 6.067 2.453 4.648 3.389 2.904 2.397 4.518 3.384 5.649 3.688 2.330 6.783 2.264 3.535 3.601 4.724 2.448 3 34.528 3.004 3.358 3.178 4.499 3.036 2.356 2.305 3.746 8.388 4.927 3.526 4.178 5.849 4.895 3.256 3.562 8.242 3.398 3.004 6156.643 9.700 2.716 2.α = P ( F ≤ fα.395 2.988 2.742 2.833 4.591 3.199 2.977 15.840 6.871 2.505 15 8.369 50 7.382 2.895 3.369 4.675 4.451 2.128 3.967 10.896 2.220 2.591 7.774 6143.950 5928.858 13 9.120 3.154 14.562 5.485 3.861 2.925 9.656 2.055 5.739 5.699 3.062 2.668 5.129 3.906 2.202 4.721 5.963 9.874 4.778 3.599 2.092 3.893 4.925 4.258 3.456 10.142 4.813 2.051 9.184 3.249 14.499 4.260 8.289 10.564 3.205 4.005 2.978 2.632 6.888 9.962 2.200 5.954 6022.223 2.074 3.026 1.762 2.976 7.173 3.609 5.067 3.338 2.451 7.452 14.789 2.011 4.091 2.502 99.397 6055.514 3.114 2.111 5.908 2.265 60 7.ν1.906 2.498 3.291 3.455 3.278 4.451 3.722 9.000 99.158 10.124 2.422 99.071 2.426 99.895 4. Tabla 5.275 3.915 1000 6.288 3.074 6.923 1.598 5.656 3.931 2.026 3.198 70 7.671 27.939 3.512 2.244 2.675 2.094 3.444 99.334 2.313 2.613 5.753 2.397 99.487 4.720 3.559 6.960 2.410 6.746 2.060 11.227 3.401 3.137 3.117 2.886 4.022 6.812 3.072 3.255 3.765 4.549 40 7.315 2.559 5.153 3.765 3.850 2.488 4.568 4.744 4.637 4.508 3.632 28 7.412 5.602 29 7.019 2.036 3.182 3.421 2.924 26.359 9 10.640 3.430 4.142 2.478 2.926 2.938 4.614 4.441 99.186 3.294 3.842 2.568 4.171 3.586 3.223 2.411 2.198 3.419 2.094 3.414 3.683 2.889 2.552 5.115 90 6.348 2.316 3.290 2.012 6181.701 5.534 5624.496 3.018 3.121 3.423 3.879 2.802 5.177 3.140 4.155 8 11.795 2.359 6.185 2.496 2.069 4.281 2.340 5403.715 2.390 4.979 2.973 2.010 3.257 5.392 10.020 2.742 2.852 2.100 4.600 3.868 2.666 3.368 2.758 3.130 3.007 3.719 6.815 2.959 2.690 4 21.559 2.306 14.564 3.745 3.660 4.665 14 8. VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 .010 4.218 3.206 2.390 99.015 3.667 5.503 2.101 3.597 3.054 2.746 6208.310 3.009 2.99 ν1 = grados de libertad del numerador 1 .075 2.190 3.553 3.938 21 8.052 26.297 3.601 4.558 4.042 3.372 3.745 2.348 2.563 2.790 7.600 2.048 14.256 3.057 2.248 4.339 3.515 5.751 26.817 4.283 2. .694 15.872 2.632 4.905 3.119 2.357 3.925 6083.497 2.862 4.515 5.686 4.939 2.892 2.051 3.814 2.231 3.443 2.274 12.974 6170.067 200 6.718 4.611 2.849 4.573 2.605 7.997 1.025 3.310 3.880 22 7.375 99.689 2.204 2.849 4.751 2.099 2.313 3.522 15.559 7.318 2.823 2.939 3.984 3.342 4.963 4.823 2.993 2.181 6.228 27.421 3.237 27.291 3.664 27 7.862 6.698 3.972 3.778 2.988 2.275 6.251 4.054 3.989 2.801 3.611 2.820 2.890 2.847 7.988 3.911 27.927 5.207 14.408 99.630 2.371 6.158 3.585 2.745 3.650 4.821 4.434 3.539 3.176 2.529 3.079 14.904 2.730 3.434 3.962 4.653 2.092 2.155 4.881 3.942 4.942 1.805 3.626 2.345 27.553 6 13.374 14.450 2.738 25 7.361 2.773 4.745 10.953 5.529 2.150 80 6.331 99.021 2.958 2.785 3.713 2.506 3.017 5.922 4.148 2.005 4.556 3.020 2.612 3.636 5.120 2.626 2.888 2.609 9.151 2.006 6.910 3.667 3.453 3.116 3.789 2.823 5.683 6.259 17 8.027 3.100 4.084 3.680 9.226 5.563 2.233 2.211 3.483 7.198 18.563 3.777 2.890 4.857 2.417 4.283 3.018 1.713 3.271 2.019 5 16.442 5.α =0.546 14.672 10.258 13.872 26.620 4.036 2.052 4.649 7.106 3.077 19 8.405 11 9.677 5.852 2.269 3.955 5858.285 6.368 3.032 2.360 3.718 2.396 3.220 2.057 4.706 4.715 2.897 Elaborada por Irene Patricia Valdez y Alfaro.457 4.593 3.619 3.911 5.734 5.ν2 ) ν2 = grados de libertad del denominador ν1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ν2 1 4052.522 3.352 2.056 2.191 4.531 6.462 4.030 3.314 6.637 2.646 7.484 2.564 5.710 28.306 2.881 4.275 2.821 3.394 2.841 3.698 2.226 3.056 2.077 4.431 4.236 3.587 3.168 3.195 3. 325 2.644 2.690 2.844 2.724 3.724 2.301 2.987 6.477 99.531 26.297 5.518 1.270 4.144 27 2.694 1.821 1.477 99.636 2.571 3.α = P ( F ≤ fα.441 4.619 3.776 2.234 5.136 2.029 6.589 2.990 3.483 4.477 2.023 2.938 1.759 1.708 3.584 2.019 1.337 2.019 2. Tabla 5.458 1.798 3.849 1.709 2.659 2.357 2.237 3.284 3.835 2.756 2.ν2 ) ν1 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 200 500 1000 ν2 1 6216.271 2.698 4.764 2.664 26.331 7.562 2.488 2.983 2.911 13.165 3.559 2.379 9.629 1.317 3.970 13.656 3.451 99.863 2.556 3.712 3.617 70 2.577 2.970 6320.453 2.422 2.770 2.247 4.992 1.452 1.289 2.070 2.042 9.450 2.223 25 2.144 2.070 2.101 3.920 11 4.942 2.195 1.264 3.983 1.050 2.928 1.503 2.247 2.766 5.623 1.810 1.238 9.026 3.043 2.891 2.967 2.872 1.383 4.836 3.351 7.705 2.736 3.783 1.784 2.068 3.836 1.916 2.925 2.377 2.805 2.891 7 6.874 1.554 2.445 2.535 3.382 3.130 9.495 2.384 2.569 2.977 2.328 1.540 2.949 1.200 2.843 2.536 2.994 13.930 2.657 2.209 5.785 2.908 2.649 2.434 2.463 3.427 6302.836 1.332 4.294 2.521 2.589 2.047 30 2.824 5.174 6252.231 2.483 3.414 3.α =0.796 2 99.802 2.198 3.810 2.403 2.734 3.467 3.462 99.962 3.617 26.218 2.034 2.676 2.466 99.788 1.608 2.013 6.851 1.655 1.241 26.160 2.864 13.492 2.942 2.272 3.462 99.775 2.850 13.981 2.536 2.780 3.086 2.391 9.605 13.481 1.971 1.601 2.701 3.281 2.026 3.880 16 3.216 2.035 3.423 2.569 3.639 26.058 2.818 2.115 2.894 13.889 2.411 26.929 13.577 13.466 1.543 3.969 1.604 3.053 3.077 29 2.423 2.716 1.718 2.039 4.538 2.690 1.992 5.602 2.119 3.466 9.695 2.920 2.949 1.735 1.296 7.014 3.241 2.397 3.602 2.880 4.579 26.159 2.643 2.298 3.412 3.032 6 7.375 3.546 26.839 1.906 1.329 2.159 Elaborada por Irene Patricia Valdez y Alfaro.408 1.271 2.083 3.674 2.372 22 2.609 2.690 13.436 2.143 7.517 1.548 2.330 2.614 2.886 1.050 2.115 4.916 1.778 1.122 2.181 3.022 3.359 3.720 2.300 2.597 26.624 3.582 2.316 5.058 6.869 1.363 4.868 2.021 2.691 2.518 6249.746 1.313 7.418 9.633 1.032 2.791 1.613 12 3.548 1.531 2.415 4.919 1.861 6244.280 2.512 2.018 2.474 6330.598 1.299 2.364 2.512 90 2.983 1.622 1.486 13.426 4.660 4.583 2.032 5.819 50 2.158 2.187 2.028 1.526 2.535 2.404 1.391 1.484 99.826 1.240 7.766 2.412 2.449 2.433 9.671 1.483 2.157 9.019 40 2.110 2.025 4.778 2.575 2.711 1.643 2.692 1.745 13.476 100 2.267 2.704 2.562 26.664 18 3.032 7.398 2.614 2.139 3.956 1.005 3.886 6326.919 2.124 3.181 2.112 3.790 2.579 2.014 3.124 3.523 2.908 5.679 2.317 2.820 1.623 2.350 6286.808 2.944 1.098 2.499 99.491 99.469 2.765 4.138 3.758 1.934 6.260 6312.341 3.469 2.934 1.245 2.713 1.242 2.685 6234.567 4.091 7.494 1.311 3.574 1.181 3.327 4.716 2.453 2.148 26.167 2.677 2.291 9.702 2.639 1.417 2.869 9 4.684 4.449 9.410 2.686 2.558 80 2.003 2.749 1.302 2.127 2.221 2.296 4.308 1.278 1.007 1.109 28 2.493 3.536 6362.116 5.857 1.649 4.695 2.930 3.106 2.077 4.901 6.157 3.587 3.507 2.137 4 13.081 3.835 2.494 2.400 2.676 2.622 3.384 2.475 5 9.785 2.221 5.083 2.765 3.404 9.738 2.134 2.214 3.193 2.132 6.517 26.544 1.401 2.499 1.336 5.182 26 2.989 4.512 2.547 2.ν1.202 9.963 4.317 23 2.764 17 3.776 3.829 1.900 6257.230 2.678 1.968 2.068 2.909 2.235 2.563 2.236 2.895 2.321 10 4.187 3.015 1.991 1.090 2.633 1.880 1.749 1.878 13.975 4.462 99.198 5.237 3.810 3.626 13.098 2.514 2.156 2.484 99.479 2.150 3.038 4.495 2.743 2.837 2.880 2.886 1.833 1.015 15 3.499 3 26.698 60 2.684 1.850 1.763 1.794 1.229 7.041 2.546 1.327 2.187 2.306 2.794 1.207 2.484 99.265 2.522 2.278 3.531 2.659 1.964 3.961 2.621 2.266 3.459 4.131 2.999 1.552 2.628 2.729 4.316 2.383 3.755 5.911 4.171 2.112 3.252 2.123 2.057 4.583 1.215 3.273 6239.956 1.092 2.464 2.447 2.749 2.325 2.481 1.671 2.614 1.613 1.729 1.491 99.552 2.501 20 2.208 2.936 1.478 2.506 9.589 2.386 2.702 5.234 2.487 2.055 3.511 3.749 2.215 2.091 6260.004 1.488 99.746 4.005 1.289 26.816 3.440 2.952 1.518 3.054 2.288 2.271 2.875 2.604 2.354 2.590 13.825 1.459 99.848 1.955 2.855 2.165 4.506 2.671 5.279 5.791 2.304 500 1.577 19 2.857 2.283 4.750 3.137 3.419 2.894 2.660 8 5.427 3.330 3.428 1.801 2.329 2.202 2.860 3.540 2.250 3.451 2.815 2.263 2.570 2.371 3.101 3.585 2.437 2.082 4.268 24 2.074 6.925 6349.007 4.176 14 3.774 1.806 1.507 3.579 1.203 2.043 6.470 2.550 2.891 1.652 13.065 2.372 13 3.528 9.228 2.021 4.634 1.735 1.428 1.183 2.869 2.952 3.058 4.566 1.730 1.987 1.067 2.678 2.258 4.032 2.142 9.797 1.757 6359.548 2.530 3.344 4.113 6223.877 2.372 7.868 1.521 1.589 2.933 2.016 6.713 4.909 1.657 2.719 3.248 5.942 1.761 2.925 1.311 4.858 5.455 99.859 2.530 1.810 1.659 1.350 3.965 1.638 2.342 2.256 2.263 5.620 2.642 2.491 2.151 2.097 2.219 3.716 1.969 1.114 2.386 2.462 99.709 2.001 1.225 3.503 2.520 13.630 2.764 1.478 3.455 99.829 1.999 2.043 2.421 2.667 2.947 1.269 26.786 4.665 6333.253 26.383 1.504 26.016 2.092 6.216 3.047 3.111 6.253 7.364 2.003 5.346 2.075 9.132 3.201 1000 1.463 2.695 1.799 5.266 7.281 7.183 26.672 4.758 2.127 2.807 1.754 1.440 2.348 3.998 6.485 9.733 2.785 1.731 2.632 2.643 3.877 1.989 2.476 2.905 1.923 2.175 2.065 5.752 3.444 3.757 1.977 3. .481 2.506 2.059 3.949 13.365 2. VALORES F DE LA DISTRIBUCIÓN F DE FISHER 1 .941 3.743 1.781 5.373 2.194 2.714 1.425 3.455 99.057 7.893 1.363 4.99 1 .433 21 2.829 2.838 13.294 3.039 3.097 6228.495 1.004 2.354 26.060 2.620 2.316 26.232 1.517 4.980 1.176 9.153 2.719 2.526 2.447 200 1.