Tablas de Probabilidades - ITAM

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c○ E. Barrios y J. A. García v.1.05 TABLA 8D.1 Cotas críticas dL (α;n,k) ,dU (α;n,k) del estadístico de Durbin-Watson. α = 0.10 k = 1 k = 2 k = 3 k = 4 k = 5 k = 6 k = 7 k = 8 k = 9 k = 10 k = 11 n dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU 6 0.789 1.612 · · · · · · · · · · · · · · · · · · · · 7 0.866 1.567 0.608 2.078 · · · · · · · · · · · · · · · · · · 8 0.935 1.530 0.694 1.970 0.479 2.439 · · · · · · · · · · · · · · · · 9 0.997 1.516 0.775 1.881 0.565 2.298 0.387 2.716 · · · · · · · · · · · · · · 10 1.050 1.511 0.846 1.825 0.649 2.181 0.468 2.562 0.318 2.930 · · · · · · · · · · · · 11 1.096 1.510 0.908 1.786 0.724 2.097 0.550 2.431 0.393 2.774 0.265 3.097 · · · · · · · · · · 12 1.137 1.513 0.963 1.757 0.789 2.033 0.624 2.329 0.471 2.637 0.335 2.945 0.225 3.229 · · · · · · · · 13 1.172 1.516 1.011 1.737 0.849 1.983 0.691 2.250 0.542 2.528 0.407 2.809 0.288 3.084 0.193 3.335 · · · · · · 14 1.205 1.522 1.053 1.721 0.902 1.944 0.752 2.185 0.608 2.439 0.475 2.696 0.355 2.953 0.250 3.199 0.167 3.421 · · · · 15 1.234 1.528 1.093 1.710 0.949 1.912 0.807 2.132 0.669 2.364 0.539 2.602 0.419 2.840 0.312 3.073 0.219 3.294 0.146 3.491 · · 16 1.260 1.534 1.127 1.702 0.992 1.887 0.857 2.088 0.725 2.301 0.599 2.521 0.480 2.743 0.372 2.962 0.276 3.174 0.194 3.374 0.129 3.550 17 1.284 1.541 1.159 1.696 1.031 1.867 0.903 2.052 0.776 2.248 0.654 2.452 0.538 2.659 0.430 2.865 0.332 3.067 0.246 3.260 0.172 3.441 18 1.306 1.547 1.188 1.691 1.066 1.850 0.945 2.022 0.824 2.204 0.706 2.393 0.593 2.586 0.486 2.780 0.388 2.972 0.299 3.157 0.221 3.334 19 1.326 1.554 1.214 1.688 1.099 1.836 0.983 1.996 0.867 2.165 0.753 2.341 0.644 2.522 0.539 2.705 0.441 2.887 0.351 3.065 0.270 3.236 20 1.345 1.560 1.238 1.686 1.128 1.824 1.018 1.974 0.907 2.132 0.798 2.297 0.691 2.466 0.589 2.639 0.491 2.811 0.401 2.981 0.319 3.147 21 1.362 1.566 1.261 1.685 1.156 1.815 1.050 1.955 0.944 2.103 0.839 2.258 0.736 2.417 0.636 2.580 0.540 2.744 0.450 2.906 0.367 3.065 22 1.378 1.573 1.281 1.685 1.182 1.808 1.080 1.938 0.978 2.078 0.877 2.224 0.777 2.374 0.680 2.527 0.586 2.682 0.497 2.838 0.413 2.990 23 1.393 1.578 1.300 1.685 1.205 1.800 1.108 1.924 1.010 2.055 0.913 2.193 0.816 2.335 0.721 2.480 0.630 2.628 0.542 2.776 0.459 2.922 24 1.406 1.584 1.318 1.685 1.227 1.795 1.134 1.912 1.040 2.036 0.946 2.166 0.852 2.300 0.760 2.438 0.671 2.578 0.585 2.720 0.503 2.860 25 1.420 1.589 1.335 1.686 1.247 1.790 1.158 1.901 1.067 2.019 0.977 2.142 0.886 2.270 0.797 2.400 0.710 2.534 0.626 2.669 0.544 2.803 26 1.432 1.595 1.350 1.687 1.266 1.786 1.180 1.892 1.093 2.003 1.006 2.121 0.918 2.242 0.832 2.366 0.747 2.494 0.664 2.622 0.584 2.751 27 1.444 1.600 1.365 1.688 1.284 1.783 1.201 1.884 1.117 1.990 1.033 2.101 0.948 2.216 0.864 2.335 0.782 2.457 0.701 2.579 0.622 2.704 28 1.455 1.606 1.379 1.690 1.300 1.780 1.221 1.876 1.140 1.978 1.058 2.084 0.977 2.194 0.895 2.307 0.814 2.423 0.735 2.541 0.659 2.660 29 1.465 1.610 1.392 1.691 1.316 1.778 1.239 1.870 1.161 1.966 1.082 2.068 1.003 2.173 0.924 2.282 0.846 2.392 0.769 2.506 0.693 2.619 30 1.475 1.615 1.404 1.693 1.331 1.776 1.257 1.864 1.181 1.957 1.105 2.054 1.028 2.154 0.951 2.258 0.875 2.364 0.800 2.473 0.726 2.582 31 1.484 1.619 1.415 1.694 1.345 1.774 1.273 1.859 1.200 1.948 1.126 2.041 1.052 2.137 0.977 2.237 0.903 2.339 0.830 2.443 0.757 2.548 32 1.492 1.624 1.426 1.696 1.359 1.773 1.289 1.854 1.218 1.940 1.147 2.029 1.074 2.121 1.002 2.217 0.930 2.315 0.858 2.415 0.787 2.516 33 1.501 1.628 1.437 1.698 1.371 1.772 1.304 1.850 1.235 1.932 1.166 2.018 1.095 2.107 1.025 2.199 0.955 2.293 0.885 2.389 0.816 2.487 34 1.509 1.632 1.447 1.700 1.383 1.771 1.318 1.846 1.251 1.926 1.184 2.008 1.115 2.094 1.047 2.182 0.979 2.273 0.911 2.365 0.843 2.460 35 1.517 1.636 1.456 1.701 1.395 1.770 1.331 1.843 1.267 1.920 1.201 1.999 1.135 2.082 1.068 2.166 1.002 2.254 0.935 2.343 0.869 2.434 36 1.524 1.640 1.465 1.703 1.405 1.770 1.344 1.840 1.281 1.914 1.217 1.991 1.153 2.070 1.088 2.152 1.023 2.237 0.958 2.323 0.894 2.411 37 1.531 1.644 1.474 1.705 1.416 1.770 1.356 1.838 1.295 1.909 1.233 1.983 1.170 2.060 1.107 2.139 1.044 2.220 0.981 2.304 0.917 2.388 38 1.538 1.648 1.482 1.707 1.426 1.770 1.367 1.835 1.308 1.904 1.248 1.976 1.187 2.050 1.125 2.127 1.064 2.205 1.002 2.286 0.940 2.368 39 1.544 1.651 1.491 1.709 1.435 1.770 1.378 1.833 1.320 1.900 1.262 1.969 1.203 2.041 1.143 2.115 1.082 2.191 1.022 2.269 0.962 2.348 40 1.551 1.654 1.498 1.711 1.444 1.770 1.389 1.832 1.333 1.896 1.275 1.963 1.218 2.033 1.159 2.104 1.100 2.178 1.042 2.253 0.983 2.330 41 1.557 1.658 1.505 1.712 1.453 1.770 1.399 1.830 1.344 1.893 1.288 1.958 1.232 2.025 1.175 2.094 1.118 2.166 1.060 2.239 1.003 2.314 42 1.562 1.661 1.512 1.714 1.461 1.770 1.408 1.828 1.355 1.889 1.301 1.952 1.246 2.018 1.190 2.085 1.134 2.155 1.078 2.225 1.022 2.297 43 1.568 1.664 1.519 1.716 1.469 1.770 1.418 1.827 1.365 1.886 1.313 1.948 1.259 2.011 1.205 2.076 1.150 2.144 1.095 2.212 1.040 2.282 44 1.573 1.667 1.526 1.718 1.477 1.771 1.427 1.826 1.376 1.883 1.324 1.943 1.271 2.004 1.218 2.068 1.165 2.133 1.111 2.200 1.057 2.268 45 1.578 1.670 1.532 1.719 1.484 1.771 1.435 1.825 1.385 1.880 1.335 1.939 1.284 1.999 1.232 2.060 1.180 2.124 1.127 2.189 1.074 2.255 46 1.583 1.673 1.538 1.721 1.491 1.771 1.444 1.824 1.395 1.878 1.345 1.935 1.296 1.993 1.245 2.053 1.193 2.115 1.142 2.178 1.091 2.242 47 1.588 1.676 1.544 1.723 1.498 1.772 1.451 1.823 1.404 1.876 1.356 1.931 1.307 1.988 1.257 2.046 1.207 2.106 1.157 2.168 1.106 2.230 48 1.593 1.679 1.549 1.725 1.504 1.772 1.459 1.822 1.412 1.874 1.365 1.928 1.317 1.983 1.269 2.040 1.220 2.098 1.170 2.158 1.121 2.219 49 1.597 1.681 1.555 1.726 1.511 1.773 1.466 1.822 1.421 1.872 1.374 1.924 1.328 1.978 1.280 2.034 1.232 2.091 1.184 2.149 1.136 2.208 50 1.602 1.684 1.560 1.728 1.517 1.774 1.473 1.821 1.429 1.870 1.384 1.921 1.338 1.974 1.291 2.028 1.244 2.083 1.197 2.140 1.149 2.198 55 1.622 1.697 1.584 1.736 1.545 1.777 1.505 1.819 1.465 1.863 1.424 1.909 1.383 1.956 1.341 2.003 1.298 2.053 1.255 2.103 1.212 2.154 60 1.639 1.708 1.604 1.743 1.569 1.780 1.533 1.819 1.496 1.859 1.459 1.899 1.421 1.942 1.382 1.984 1.344 2.029 1.305 2.074 1.265 2.120 65 1.654 1.717 1.622 1.750 1.590 1.784 1.556 1.819 1.523 1.855 1.488 1.893 1.454 1.931 1.419 1.970 1.383 2.010 1.347 2.051 1.310 2.093 70 1.668 1.726 1.638 1.756 1.608 1.788 1.577 1.820 1.546 1.853 1.514 1.887 1.482 1.922 1.450 1.958 1.417 1.995 1.384 2.032 1.350 2.070 75 1.680 1.734 1.652 1.762 1.624 1.791 1.595 1.821 1.567 1.852 1.537 1.884 1.507 1.916 1.477 1.949 1.446 1.982 1.416 2.017 1.384 2.052 80 1.690 1.741 1.665 1.768 1.639 1.795 1.612 1.823 1.585 1.851 1.557 1.881 1.529 1.910 1.501 1.941 1.473 1.972 1.444 2.004 1.415 2.036 85 1.700 1.748 1.676 1.773 1.651 1.798 1.626 1.824 1.601 1.851 1.575 1.878 1.549 1.906 1.523 1.935 1.496 1.964 1.469 1.993 1.441 2.023 90 1.709 1.754 1.687 1.778 1.663 1.802 1.640 1.826 1.616 1.851 1.591 1.877 1.567 1.903 1.542 1.929 1.517 1.957 1.492 1.984 1.466 2.012 95 1.717 1.760 1.696 1.782 1.674 1.805 1.652 1.828 1.629 1.851 1.606 1.876 1.583 1.900 1.560 1.925 1.536 1.950 1.512 1.976 1.488 2.002 100 1.725 1.766 1.705 1.787 1.684 1.808 1.663 1.830 1.641 1.852 1.620 1.875 1.598 1.898 1.575 1.921 1.553 1.945 1.530 1.970 1.507 1.994 125 1.756 1.788 1.739 1.805 1.723 1.822 1.706 1.839 1.689 1.856 1.672 1.874 1.655 1.892 1.637 1.910 1.620 1.929 1.602 1.947 1.584 1.966 150 1.778 1.805 1.765 1.819 1.751 1.833 1.737 1.847 1.723 1.861 1.709 1.876 1.695 1.890 1.680 1.905 1.666 1.920 1.651 1.936 1.636 1.951 175 1.795 1.819 1.784 1.830 1.772 1.842 1.760 1.854 1.748 1.866 1.736 1.878 1.724 1.891 1.712 1.903 1.700 1.916 1.687 1.929 1.675 1.942 200 1.809 1.829 1.799 1.840 1.789 1.850 1.779 1.860 1.768 1.871 1.758 1.882 1.747 1.892 1.737 1.903 1.726 1.914 1.715 1.925 1.704 1.937 Tablas de Probabilidades 28
c○ E. Barrios y J. A. García v.1.05 TABLA 8D.2 Cotas críticas dL (α;n,k) ,dU (α;n,k) del estadístico de Durbin-Watson. α = 0.10 k = 12 k = 13 k = 14 k = 15 k = 16 k = 17 k = 18 k = 19 k = 20 k = 25 k = 30 n dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU dL dU 17 0.114 3.599 · · · · · · · · · · · · · · · · · · · · 18 0.154 3.498 0.102 3.641 · · · · · · · · · · · · · · · · · · 19 0.199 3.398 0.139 3.547 0.092 3.677 · · · · · · · · · · · · · · · · 20 0.245 3.304 0.181 3.453 0.126 3.589 0.083 3.707 · · · · · · · · · · · · · · 21 0.291 3.219 0.223 3.364 0.164 3.501 0.114 3.626 0.076 3.734 · · · · · · · · · · · · 22 0.337 3.139 0.266 3.282 0.204 3.417 0.150 3.543 0.104 3.658 0.069 3.757 · · · · · · · · · · 23 0.381 3.066 0.310 3.205 0.245 3.338 0.187 3.464 0.138 3.580 0.096 3.686 0.063 3.777 · · · · · · · · 24 0.425 2.999 0.352 3.134 0.286 3.264 0.226 3.388 0.173 3.505 0.127 3.613 0.088 3.711 0.058 3.795 · · · · · · 25 0.467 2.936 0.394 3.068 0.327 3.195 0.265 3.317 0.209 3.433 0.159 3.542 0.117 3.642 0.081 3.733 0.053 3.811 · · · · 26 0.507 2.880 0.435 3.006 0.366 3.130 0.303 3.250 0.245 3.365 0.194 3.473 0.148 3.575 0.108 3.668 0.075 3.752 · · · · 27 0.546 2.827 0.474 2.949 0.406 3.070 0.342 3.187 0.283 3.300 0.229 3.408 0.180 3.509 0.137 3.604 0.101 3.692 · · · · 28 0.584 2.779 0.512 2.897 0.444 3.013 0.379 3.127 0.319 3.238 0.264 3.345 0.213 3.446 0.168 3.542 0.128 3.631 · · · · 29 0.620 2.734 0.549 2.848 0.481 2.961 0.416 3.072 0.356 3.180 0.299 3.285 0.247 3.386 0.199 3.482 0.157 3.571 · · · · 30 0.654 2.692 0.584 2.802 0.517 2.912 0.452 3.020 0.391 3.126 0.334 3.229 0.280 3.328 0.231 3.423 0.187 3.514 0.037 3.868 · · 31 0.687 2.654 0.618 2.761 0.551 2.866 0.487 2.971 0.426 3.075 0.368 3.175 0.314 3.273 0.264 3.367 0.217 3.457 0.053 3.824 · · 32 0.718 2.618 0.650 2.721 0.584 2.824 0.521 2.926 0.460 3.026 0.402 3.125 0.347 3.221 0.296 3.314 0.248 3.404 0.072 3.778 · · 33 0.748 2.586 0.681 2.685 0.616 2.784 0.553 2.883 0.493 2.981 0.435 3.077 0.380 3.171 0.328 3.263 0.279 3.352 0.093 3.731 · · 34 0.776 2.555 0.711 2.651 0.647 2.747 0.585 2.843 0.525 2.938 0.467 3.032 0.412 3.124 0.359 3.215 0.310 3.302 0.115 3.684 · · 35 0.804 2.526 0.740 2.619 0.677 2.712 0.615 2.805 0.556 2.898 0.498 2.989 0.443 3.079 0.390 3.168 0.340 3.254 0.138 3.637 0.027 3.902 36 0.830 2.499 0.767 2.589 0.705 2.679 0.645 2.770 0.586 2.860 0.528 2.949 0.473 3.037 0.421 3.124 0.370 3.209 0.163 3.591 0.039 3.869 37 0.855 2.474 0.793 2.561 0.732 2.649 0.673 2.737 0.615 2.824 0.558 2.911 0.503 2.997 0.450 3.082 0.400 3.166 0.188 3.546 0.054 3.833 38 0.879 2.451 0.818 2.535 0.759 2.620 0.700 2.705 0.642 2.791 0.586 2.875 0.532 2.959 0.480 3.043 0.429 3.125 0.213 3.501 0.070 3.796 39 0.902 2.429 0.842 2.511 0.784 2.593 0.726 2.676 0.670 2.759 0.614 2.841 0.560 2.923 0.508 3.005 0.457 3.085 0.239 3.458 0.088 3.758 40 0.924 2.409 0.866 2.488 0.808 2.568 0.751 2.648 0.695 2.729 0.641 2.809 0.587 2.889 0.535 2.968 0.485 3.047 0.265 3.416 0.107 3.719 41 0.945 2.389 0.888 2.466 0.832 2.544 0.776 2.622 0.721 2.700 0.667 2.779 0.614 2.857 0.562 2.935 0.512 3.012 0.290 3.375 0.126 3.681 42 0.965 2.371 0.909 2.446 0.854 2.521 0.799 2.597 0.745 2.673 0.691 2.750 0.639 2.826 0.588 2.902 0.539 2.977 0.316 3.336 0.147 3.643 43 0.985 2.354 0.930 2.426 0.875 2.500 0.821 2.574 0.768 2.648 0.716 2.722 0.664 2.797 0.614 2.871 0.564 2.945 0.341 3.298 0.168 3.605 44 1.003 2.337 0.950 2.408 0.896 2.479 0.843 2.551 0.791 2.624 0.739 2.696 0.688 2.769 0.638 2.842 0.589 2.914 0.367 3.261 0.190 3.568 45 1.021 2.322 0.969 2.391 0.916 2.460 0.864 2.530 0.812 2.601 0.761 2.672 0.711 2.743 0.662 2.814 0.614 2.884 0.391 3.226 0.211 3.531 46 1.039 2.308 0.987 2.375 0.936 2.442 0.884 2.510 0.834 2.579 0.783 2.648 0.734 2.718 0.685 2.787 0.637 2.856 0.416 3.192 0.233 3.496 47 1.055 2.294 1.005 2.359 0.954 2.425 0.904 2.491 0.854 2.558 0.804 2.626 0.756 2.694 0.707 2.761 0.660 2.829 0.440 3.159 0.255 3.460 48 1.071 2.281 1.022 2.345 0.972 2.408 0.922 2.473 0.873 2.539 0.825 2.605 0.777 2.671 0.729 2.737 0.682 2.803 0.463 3.127 0.278 3.426 49 1.087 2.269 1.038 2.331 0.989 2.393 0.941 2.457 0.892 2.520 0.845 2.585 0.797 2.649 0.750 2.714 0.704 2.778 0.486 3.097 0.300 3.393 50 1.102 2.257 1.054 2.317 1.006 2.378 0.958 2.440 0.911 2.502 0.863 2.565 0.817 2.628 0.771 2.691 0.725 2.755 0.509 3.068 0.322 3.361 55 1.169 2.207 1.125 2.261 1.081 2.314 1.037 2.369 0.994 2.425 0.950 2.481 0.907 2.537 0.863 2.594 0.821 2.651 0.615 2.936 0.428 3.211 60 1.225 2.167 1.185 2.215 1.145 2.264 1.105 2.313 1.064 2.363 1.024 2.413 0.984 2.464 0.944 2.515 0.904 2.567 0.709 2.827 0.527 3.083 65 1.274 2.135 1.237 2.179 1.200 2.222 1.163 2.267 1.125 2.312 1.088 2.358 1.050 2.404 1.013 2.450 0.976 2.497 0.792 2.735 0.617 2.973 70 1.316 2.109 1.282 2.148 1.247 2.188 1.213 2.229 1.178 2.270 1.144 2.312 1.109 2.354 1.074 2.397 1.039 2.440 0.866 2.658 0.698 2.879 75 1.353 2.087 1.321 2.123 1.289 2.160 1.257 2.198 1.225 2.235 1.192 2.274 1.160 2.312 1.127 2.351 1.094 2.391 0.931 2.592 0.772 2.798 80 1.385 2.069 1.356 2.102 1.326 2.137 1.296 2.171 1.266 2.206 1.235 2.241 1.205 2.277 1.174 2.313 1.143 2.349 0.990 2.536 0.838 2.727 85 1.414 2.054 1.386 2.085 1.358 2.116 1.330 2.148 1.302 2.180 1.273 2.213 1.245 2.246 1.216 2.280 1.187 2.314 1.042 2.487 0.898 2.666 90 1.440 2.041 1.414 2.069 1.388 2.099 1.361 2.129 1.334 2.159 1.307 2.189 1.281 2.220 1.253 2.252 1.226 2.283 1.089 2.445 0.952 2.612 95 1.463 2.029 1.438 2.056 1.414 2.084 1.389 2.112 1.363 2.140 1.338 2.168 1.313 2.197 1.287 2.227 1.261 2.256 1.131 2.408 1.001 2.564 100 1.484 2.019 1.461 2.045 1.438 2.071 1.414 2.097 1.390 2.123 1.366 2.150 1.342 2.177 1.318 2.205 1.293 2.232 1.170 2.375 1.046 2.522 125 1.566 1.986 1.547 2.005 1.529 2.025 1.510 2.045 1.492 2.065 1.473 2.086 1.454 2.106 1.435 2.127 1.415 2.148 1.318 2.257 1.219 2.369 150 1.621 1.967 1.606 1.982 1.591 1.998 1.576 2.014 1.561 2.031 1.545 2.047 1.530 2.064 1.514 2.081 1.498 2.098 1.418 2.184 1.337 2.275 175 1.662 1.955 1.649 1.968 1.637 1.982 1.624 1.995 1.611 2.009 1.598 2.022 1.585 2.036 1.571 2.050 1.558 2.064 1.490 2.137 1.421 2.211 200 1.693 1.948 1.682 1.959 1.671 1.971 1.660 1.982 1.649 1.994 1.637 2.005 1.626 2.018 1.615 2.029 1.603 2.041 1.545 2.103 1.485 2.167 Tablas de Probabilidades 29
Page 1 and 2: Tablas de Probabilidades Ernesto Ba
Page 3 and 4: Tablas de Probabilidades 3 1. Distr
Page 5 and 6: Tablas de Probabilidades 5 Tabla 1C
Page 7 and 8: Tablas de Probabilidades 7 Tabla 1E
Page 9 and 10: Tablas de Probabilidades 9 2. Distr
Page 11 and 12: Tablas de Probabilidades 11 Tabla 3
Page 13 and 14: Tablas de Probabilidades 13 5. Dist
Page 17 and 18: c○ E. Barrios y J. A. García v.1
Page 27: c○ E. Barrios y J. A. García v.1
Page 35 and 36: Tablas de Probabilidades 35 11. Dis
Page 41 and 42: Tablas de Probabilidades 41 13. Dis
Page 43: Tablas de Probabilidades 43 Bibliog

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