统计附表 - 图文

附 表 253 目 录

附表2 正态分布表

附表3 正态分布上侧临界值（ua）表 附表4 t分布的临界值表

附表6 х2分布的上侧临界值（?）表

2?附表7 F检验的临界值（F?）表 附表9 多重比较中的Duncan表 附表10 百分数的sin?1P变换 附表11 由百分率坐标变为概率坐标表 附表12 相关系数检验表 附表13 r与z的换算表

附 表 附表2 正态分布表

?(u)? 254 12??u??e?v22dv(u?0)

u -0.0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1.0 -1.1 -1.2 -1.3 -1.4 -1.5 -1.6 -1.7 -1.8 -1.9 -2.0 -2.1 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 -2.8 -2.9 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 0.00 0.50000 0.46016 0.42074 0.38209 0.34458 0.30854 0.27425 0.24197 0.21186 0.18406 0.15866 0.13567 0.11507 0.09680 0.08076 0.06681 0.05480 0.04457 0.03593 0.02872 0.02275 0.01786 0.01390 0.01072 0.00820 0.00621 0.00466 0.00347 0.00256 0.00187 0.50000 0.53983 0.57926 0.61791 0.65542 0.69146 0.72575 0.75803 0.78814 0.81594 0.84134 0.86433 0.88493 0.90320 0.91924 0.01 0.49601 0.45621 0.41683 0.37828 0.34090 0.30503 0.27093 0.23885 0.20897 0.18141 0.15625 0.13350 0.11314 0.09510 0.07927 0.06552 0.05370 0.04363 0.03515 0.02807 0.02222 0.01743 0.01355 0.01044 0.00798 0.00604 0.00453 0.00336 0.00248 0.00181 0.50390 0.54379 0.58317 0.62172 0.65910 0.69497 0.72907 0.76115 0.79103 0.81850 0.84375 0.86650 0.88686 0.90490 0.92073 0.02 0.49202 0.45224 0.41293 0.37449 0.33724 0.30153 0.26763 0.23576 0.20611 0.17879 0.15387 0.13136 0.11123 0.09342 0.07780 0.06426 0.05262 0.04272 0.03438 0.02743 0.02169 0.01700 0.01321 0.01017 0.00776 0.00587 0.00440 0.00326 0.00240 0.00175 0.50798 0.54776 0.58706 0.62551 0.66276 0.69847 0.73237 0.76424 0.79389 0.82121 0.84613 0.86864 0.88877 0.90658 0.92219 0.03 0.48803 0.44828 0.40905 0.37070 0.33360 0.29806 0.26435 0.23270 0.20327 0.17619 0.15151 0.12924 0.10935 0.09176 0.07636 0.06301 0.05155 0.04182 0.03362 0.02680 0.02118 0.01659 0.01287 0.00990 0.00755 0.00570 0.00427 0.00317 0.00233 0.00169 0.51197 0.55172 0.59095 0.62930 0.66640 0.70194 0.73565 0.76730 0.79673 0.82381 0.84849 0.87076 0.89065 0.90824 0.92364 0.04 0.48405 0.44433 0.40517 0.36693 0.32997 0.29460 0.26109 0.22965 0.20046 0.17361 0.14917 0.12715 0.10749 0.09012 0.07493 0.06178 0.05050 0.04093 0.03288 0.02619 0.02068 0.01618 0.01255 0.00964 0.00734 0.00554 0.00415 0.00307 0.00226 0.00164 0.51595 0.55567 0.59483 0.63307 0.67003 0.70540 0.73891 0.77035 0.79954 0.82639 0.85083 0.87285 0.89251 0.90988 0.92506 附 表 255 0.05 0.48006 0.44038 0.040129 0.36317 0.32636 0.29116 0.25785 0.22663 0.19766 0.17106 0.14686 0.12507 0.10565 0.08851 0.07353 0.06057 0.04947 0.04006 0.03216 0.02559 0.02018 0.01578 0.01222 0.00939 0.00724 0.00539 0.00402 0.00298 0.00219 0.00159 0.51994 0.55962 0.59871 0.63683 0.67364 0.70884 0.74215 0.77337 0.80234 0.82894 0.85314 0.87493 0.89435 0.91149 0.92647 0.06 0.47608 0.43644 0.39743 0.35942 0.32276 0.28774 0.25463 0.22363 0.19490 0.16853 0.14457 0.12303 0.10384 0.08691 0.07215 0.05938 0.04846 0.03920 0.03144 0.02500 0.01970 0.01539 0.01191 0.00914 0.00695 0.00523 0.00391 0.00289 0.00212 0.00154 0.52392 0.56356 0.60257 0.64058 0.67724 0.71226 0.74537 0.77637 0.80510 0.83147 0.85543 0.87697 0.89616 0.91308 0.92785 0.07 0.47210 0.43251 0.39358 0.35569 0.31918 0.28434 0.25143 0.22065 0.19215 0.16603 0.14231 0.12100 0.10204 0.08534 0.07078 0.05821 0.04746 0.03836 0.03074 0.02442 0.01923 0.01500 0.01160 0.00889 0.00676 0.00509 0.00379 0.00280 0.00205 0.00149 0.52790 0.56749 0.60642 0.64431 0.68082 0.71566 0.74857 0.77935 0.80785 0.83397 0.85769 0.87900 0.89796 0.91465 0.92922 0.08 0.46812 0.42858 0.38974 0.35197 0.31562 0.28096 0.24825 0.21770 0.18943 0.16354 0.14007 0.11900 0.10027 0.08379 0.06944 0.05705 0.04648 0.03754 0.03005 0.02385 0.01876 0.01463 0.01130 0.00866 0.00657 0.00494 0.00368 0.00271 0.00199 0.00144 0.53188 0.57142 0.61026 0.64803 0.68438 0.71904 0.75175 0.78230 0.81057 0.83646 0.85993 0.88100 0.89973 0.91621 0.93056 0.09 0.46414 0.42466 0.38591 0.34827 0.31207 0.27760 0.24510 0.21477 0.18673 0.16109 0.13786 0.11703 0.09853 0.08226 0.06811 0.05592 0.04551 0.03673 0.02938 0.02330 0.01831 0.01426 0.01101 0.00842 0.00639 0.00480 0.00357 0.00264 0.00193 0.00139 0.53586 0.57534 0.61409 0.65173 0.68793 0.72240 0.75490 0.78523 0.81327 0.83891 0.96214 0.88297 0.90147 0.91773 0.93189 u -0.0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1.0 -1.1 -1.2 -1.3 -1.4 -1.5 -1.6 -1.7 -1.8 -1.9 -2.0 -2.1 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 -2.8 -2.9 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 附 表 256 u 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 0.00 0.93319 0.94520 0.95543 0.96407 0.97128 0.97725 0.98214 0.98610 0.98928 0.99180 0.99379 0.99534 0.99653 0.99744 0.99813 0.01 0.93448 0.94630 0.95637 0.96485 097193 0.97778 0.98257 0.98645 0.98956 0.99202 0.99396 0.99547 0.99664 0.99752 0.99819 0.02 0.93574 0.94738 0.95728 0.96563 0.97257 0.97831 0.98300 0.98679 0.98983 0.99224 0.99413 0.99560 0.99674 0.99760 0.99825 0.03 0.93699 0.94845 0.95818 0.96637 0.97320 0.97882 0.98341 0.98713 0.99010 0.99245 0.99430 0.99573 0.99683 0.99767 0.99831 0.04 0.93822 0.94950 0.95907 0.96711 0.97381 0.97932 0.98382 0.98745 0.99036 0.99266 0.99446 0.99585 0.99693 0.99774 0.99836 0.05 0.93943 0.95053 0.95994 0.96784 0.97441 0.97982 0.98422 0.98778 0.99061 0.99286 0.99461 0.99598 0.99702 0.99781 0.99841

0.06 0.94062 0.95154 0.96080 0.96856 0.97500 0.98030 0.98461 0.98809 0.99086 0.99305 0.99477 0.99609 0.99711 0.99788 0.99846 0.07 0.94179 0.95254 0.96164 0.96926 0.97558 0.98077 0.98500 0.98840 0.99111 0.99324 0.99492 0.99621 0.99720 0.99795 0.99851 0.08 0.94295 0.95352 0.96246 0.96995 0.97615 0.98124 0.98537 0.98870 0.99134 0.99343 0.99506 0.99632 0.99728 0.99801 0.99856 0.09 0.94408 0.95448 0.96327 0.97062 0.97670 0.98169 0.98574 0.98899 0.99158 0.99361 0.99520 0.99643 0.99736 0.99807 0.99861 u 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 附 表 附表 3 正态分布上侧临界值（ua）表

257 ??a 0.000 0.005 0.010 0.015 0.020 0.025 0.030 0.035 0.040 0.045 0.050 0.055 0.060 0.065 0.070 0.075 0.080 0.085 0.090 0.095 0.100 0.105 0.110 0.115 0.120 12???u?e?u22dv ua - 2.576 2.326 2.170 2.054 1.960 1.881 1.812 1.751 1.695 1.645 1.598 1.555 1.514 1.476 1.440 1.405 1.372 1.341 1.311 1.282 1.254 1.227 1.200 1.175 a 0.125 0.130 0.135 0.140 0.145 0.150 0.155 0.160 0.165 0.170 0.175 0.180 0.185 0.190 0.195 0.200 0.205 0.210 0.215 0.220 0.225 0.230 0.235 0.240 0.245 ua 1.150 1.126 1.103 1.080 1.058 1.036 1.015 0.994 0.974 0.954 0.935 0.915 0.895 0.878 0.860 0.842 0.824 0.806 0.789 0.772 0.755 0.739 0.722 . 0.706 0.690 a 0.250 0.255 0.260 0.265 0.270 0.275 0.280 0.285 0.290 0.295 0.300 0.305 0.310 0.315 0.320 0.325 0.330 0.335 0.340 0.345 0.350 0.355 0.360 0.365 0.370 ua 0.674 0.659 0.643 0.628 0.613 0.598 0.583 0.568 0.553 0.539 0.524 0.510 0.496 0.482 0.468 0.454 0.440 0.426 0.412 0.399 0.385 0.372 0.358 0.345 0.332 a 0.375 0.380 0.385 0.390 0.395 0.400 0.405 0.410 0.415 0.420 0.425 0.430 0.435 0.440 0.445 0.450 0.455 0.460 0.465 0.470 0.475 0.480 0.485 0.490 0.495 ua 0.319 0.305 0.292 0.279 0.266 0.253 0.240 0.228 0.215 0.202 0.189 0.176 0.164 0.151 0.138 0.127 0.113 0.100 0.088 0.075 0.063 0.050 0.038 0.205 0.013

附 表 附表4 t分布的临界值表

4a 258 df 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 22 23 24 25 26 27 28 29 30 40 60 120 ∞ 0.25 1.000 0.2 1.376 1.061 0.978 0.941 0.920 0.906 0.896 0.889 0.883 0.879 0.876 0.873 0.870 0.868 0.866 0.865 0.863 0.862 0.861 0.860 0.859 0.858 0.858 0.857 0.856 0.856 0.855 0.855 0.854 0.854 0.851 0.848 0.845 0.842 0.4 0.15 1.963 1.386 1.250 1.190 1.156 1.134 1.119 1.108 1.100 1.093 1.088 1.083 1.079 1.076 1.074 1.071 1.069 1.067 1.066 1.064 1.063 1.061 1.060 1.059 1.058 1.058 1.057 1.056 1.055 1.055 1.050 1.046 1.041 1.036 0.3 0.1 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.303 1.296 1.289 1.282 0.2 a (单侧) 0.05 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.671 1.658 1.645 0.1 a (双侧) 0.025 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 0.05 0.01 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.423 2.390 2.358 2.326 0.02 0.005 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 0.01 0.0005 31.598 12.924 8.610 6.859 5.959 5.405 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.767 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.373 3.291 0.001 12.706 31.821 63.657 636.619 0.816 0.765 0.741 0.727 0.718 0.711 0.706 0.703 0.700 0.697 0.695 0.694 0.692 0.691 0.689 0.688 0.688 0.687 0.686 0.685 0.685 0.684 0.684 0.684 0.683 0.683 0.683 0.681 0.679 0.677 0.674 16 0.690 21 0.686 0.5 df 4b 附 表 附表6 х分布的上侧临界值（??）表

2

259 2P(?df??a)??

22df 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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0.995 _ 0.010 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 2.603 3.074 3.565 4.075 4.601 5.142 5.697 6.265 6.844 7.434 8.034 8.643 9.260 9.886 10.520 11.160 11.808 12.461 13.121 13.787 14.458 15.134 15.815 16.501 17.192 17.887 18.586 19.289 19.996 20.707 21.421 22.138 22.859 23.584 24.311 0.99 _ 0.020 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 3.053 3.571 4.107 4.660 5.229 5.812 6.408 7.015 7.633 8.620 8.897 9.542 10.196 10.856 11.524 12.198 12.879 13.565 14.257 14.954 15.655 16.362 17.074 17.789 18.509 19.233 19.960 20.691 21.426 22.164 22.906 23.650 24.398 25.148 25.901 0.975 0.001 0.051 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 3.816 4.404 5.009 5.629 6.262 6.908 7.564 8.231 8.907 9.591 10.283 10.982 11.689 12.401 13.120 13.844 14.573 15.308 16.047 16.791 17.539 18.291 19.047 19.806 20.569 21.336 22.106 22.878 23.654 24.433 25.215 25.999 26.785 27.575 28.366 a 0.95 0.004 0.103 0.352 0.711 1.145 1.635 2.167 2.733 3.325 3.940 4.575 5.226 5.892 6.571 7.261 7.962 8.672 9.390 10.117 10.851 11.591 12.338 13.091 13.848 14.611 15.379 16.151 16.928 17.708 18.493 19.281 20.072 20.867 21.664 22.456 23.269 24.075 24.884 25.695 26.509 27.326 28.144 28.965 29.787 30.612 0.90 0.016 0.211 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 5.578 6.304 7.042 7.790 8.547 9.312 10.085 10.865 11.651 12.443 13.240 14.042 14.848 15.659 16.437 17.292 18.114 18.939 19.768 20.599 21.434 22.271 23.110 23.952 24.797 25.643 26.492 27.343 28.196 29.051 29.907 30.765 31.625 32.478 33.350 0.75 0.102 0.575 1.213 1.923 2.675 3.455 4.255 5.071 5.899 6.737 7.584 8.438 9.299 10.165 11.037 11.912 12.792 13.675 14.562 15.452 16.344 17.240 18.137 19.037 19.939 20.843 21.749 22.657 23.567 24.478 25.390 26.304 27.219 28.136 29.054 29.973 30.893 31.815 32.737 33.660 34.585 35.510 36.436 37.363 38.291 附 表 260 df 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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

0.25 1.323 2.773 4.108 5.385 6.626 7.841 9.037 10.219 11.389 12.549 13.701 14.845 15.984 17.117 18.245 19.369 20.489 21.605 22.718 23.828 24.935 26.039 27.141 28.241 29.339 30.435 31.528 32.620 33.711 34.800 35.887 36.973 38.058 39.141 40.223 41.304 42.383 43.462 44.539 45.616 46.692 47.766 48.840 49.913 50.985 0.10 2.706 4.605 6.251 7.779 9.236 10.645 12.017 13.326 14.684 15.987 17.275 18.549 19.812 21.064 22.307 23.542 24.769 25.989 27.204 28.412 29.615 30.813 32.007 33.196 34.382 35.563 36.741 37.916 39.081 40.256 41.422 42.585 43.745 44.903 46.059 47.212 48.363 49.513 50.660 51.805 52.949 54.090 55.230 56.369 57.505 0.05 3.841 5.991 7.815 9.488 11.071 12.592 14.067 15.507 16.919 18.307 19.675 21.026 22.362 23.685 24.996 26.296 27.587 28.869 30.144 31.410 32.671 33.924 35.172 36.415 37.652 38.885 40.113 41.337 42.557 43.773 44.985 46.194 47.400 48.602 49.802 50.998 52.192 53.384 54.572 55.758 56.942 58.124 59.304 60.481 61.656 a 0.025 5.024 7.378 9.348 11.143 12.833 14.449 16.013 17.535 19.023 20.483 21.920 23.337 24.736 26.119 27.488 28.845 30.191 31.526 32.852 34.170 35.479 36.781 38.076 39.364 40.646 41.923 43.194 44.461 45.722 46.979 48.232 49.480 50.725 51.966 53.203 54.437 55.668 56.896 58.120 59.342 60.561 61.777 62.990 64.201 65.410 0.01 0.005 6.635 7.879 9.210 10.597 11.345 12.838 13.277 14.860 15.086 16.750 16.812 18.548 18.475 20.278 20.090 21.955 21.666 23.589 23.209 25.188 24.725 26.757 26.217 28.299 27.688 29.819 29.141 31.319 30.578 32.801 32.000 34.267 33.409 35.718 34.805 37.156 36.191 38.582 37.566 39.997 38.932 41.401 40.289 42.796 41.638 44.181 42.980 45.559 44.314 46.928 45.642 48.290 46.963 49.645 48.278 20.993 49.588 52.336 50.892 53.672 52.191 55.003 53.486 56.328 54.776 57.648 56.061 58.964 57.342 60.275 58.619 61.581 59.892 62.883 61.162 64.181 62.428 65.476 63.691 66.766 64.950 68.053 66.206 69.336 67.459 70.616 68.710 71.893 69.957 73.166 附 表 附表7 F检验的临界值（F?）表

263 P(F?F?)??

分母 自由度 a df2 i 2 3 4 5 6 7 8

1 2 分子自由度 df1 3 4 5 21615 22500 5403 5624 864.2 899.6 215.7 224.6 23056 5763 921.8 230.2 6 7 8 0.005 0.010 0.025 0.050 0.005 0.010 0.025 0.050 0.005 0.010 0.025 0.050 0.005 0.010 0.025 0.050 0.005 0.010 0.025 0.050 0.005 16211 20000 4052 4999 648.8 799.5 161.4 199.5 23437 23715 5859 5928 937.1 948.2 234.0 236.0 23925 5981 956.7 238.9 198.5 199.0 199.2 199.2 199.3 199.3 199.4 199.4 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 38.51 39.00 39.17 39.25 39.30 39.33 39.36 39.37 18.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37 55.55 49.80 47.47 46.19 45.39 44.84 44.43 44.13 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 17.44 16.04 15.44 15.10 14.88 14.73 14.62 14.54 10.13 9.552 9.277 9.117 9.014 8.941 8.887 8.845 31.33 26.28 24.26 23.15 22.46 21.97 21.62 21.35 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 12.22 10.65 9.979 9.604 9.364 9.197 9.074 8.980 7.709 6.944 6.591 6.388 6.256 6.163 6.094 6.041 22.78 18.31 16.53 15.56 14.94 14.51 14.20 13.96 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.01 8.434 7.764 7.388 7.146 6.978 6.853 6.757 6.608 5.786 5.410 5.192 5.050 4.950 4.876 4.818 18.63 14.54 12.92 12.03 11.46 11.07 10.79 10.57 0.010 13.75 10.92 9.780 9.148 8.746 8.466 8.260 8.102 0.025 8.813 7.260 6.599 6.227 5.988 5.820 5.696 5.600 0.050 5.987 5.143 4.757 4.534 4.387 4.284 4.207 4.147 0.005 16.24 12.40 10.88 10.05 9.522 9.155 8.885 8.678 0.010 12.25 9.547 8.451 7.847 7.460 7.191 6.993 6.840 0.025 8.073 6.542 5.890 5.523 5.285 5.119 4.995 4.899 0.050 5.591 4.737 4.347 4.120 3.972 3.866 3.787 3.726 0.005 0.010 0.025 0.050 14.69 11.04 9.596 8.805 8.302 7.952 7.694 7.496 11.26 8.649 7.591 7.006 6.632 6.371 6.178 6.029 7.571 6.060 5.416 5.053 4.817 4.652 4.529 4.433 5.318 4.459 4.066 3.838 3.688 3.581 3.500 3.438 附 表

264 9 24091 6022 963.3 240.5 10 12 分子自由度 df1 15 20 30 60 25253 6313 1010 252.2 120 25359 6339 1014 253.3 24224 24426 24630 24836 25044 6056 6106 6157 6209 6261 968.6 976.7 984.9 993.1 1001 241.9 243.9 245.9 248.0 250.1 199.4 199.4 199.4 199.4 199.4 199.5 199.5 199.5 99.39 99.40 99.42 99.43 99.45 99.47 99.48 99.49 39.39 39.40 39.41 39.43 39.45 39.46 39.48 39.49 19.38 19.40 19.41 19.43 19.45 19.46 19.48 19.49 43.88 43.69 27.35 27.23 14.47 14.42 8.812 8.786 21.14 20.97 43.39 43.08 42.78 42.47 42.15 41.99 27.05 26.87 26.69 26.50 26.32 26.22 14.34 14.25 14.17 14.08 13.99 13.95 8.745 8.703 8.660 8.617 8.572 8.549 20.70 20.44 20.17 19.89 19.61 19.47 14.66 14.55 14.37 14.20 14.02 13.84 13.65 13.56 8.905 8.844 8.751 8.656 8.560 8.461 8.360 8.309 5.999 5.964 5.912 5.858 5.802 5.746 5.688 5.658 13.77 13.62 13.38 13.15 12.90 12.66 12.40 12.27 10.16 10.05 9.888 9.722 9.553 9.379 9.202 6.681 6.619 6.525 6.428 6.328 6.227 6.122 4.772 4.735 4.678 4.619 4.558 4.496 4.431 10.25 10.13 10.03 9.814 9.589 9.358 9.122 7.976 7.874 7.718 7.559 7.396 7.228 7.057 5.523 5.461 5.366 5.269 5.168 5.065 4.959 4.099 4.060 4.000 3.938 3.874 3.808 3.740 8.514 8.380 8.176 7.968 7.754 7.534 7.309 6.719 6.620 6.469 6.314 6.155 5.992 5.824 4.823 4.761 4.666 4.568 4.467 4.362 4.254 3.677 3.636 3.575 3.511 3.444 3.376 3.304 7.339 7.211 7.015 6.814 6.608 6.396 6.177 5.911 5.814 5.667 5.515 5.359 5.198 5.032 4.357 4.295 4.200 4.101 4.000 3.894 3.784 3.388 3.347 3.284 3.218 3.150 3.079 3.005

9.112 6.069 4.398 9.002 6.969 4.904 3.705 7.193 5.737 4.199 3.267 6.065 4.946 3.728 2.967

附 表

265 分母 自由度 a df2 9 10 12 15 20 30 60 0.005 0.010 0.025 0.050 1 2 分子自由度df1 3 4 5 8.717 6.992 5.078 3.863 7.956 6.422 4.718 3.633 7.471 6.057 4.484 3.482 6 7 8 13.81 10.56 7.209 5.117 10.11 8.022 5.715 4.256 7.134 5.802 4.320 3.374 6.885 5.613 4.197 3.293 6.693 5.467 4.102 3.230 0.005 12.83 9.427 8.081 7.343 6.872 6.545 6.302 6.116 0.010 10.04 7.559 6.552 5.994 5.636 5.386 5.200 5.057 0.025 6.937 5.456 4.826 4.468 4.236 4.072 3.950 3.855 0.050 4.965 4.103 3.708 3.478 3.326 3.217 3.136 3.072 0.005 11.75 8.510 7.226 6.521 6.071 5.757 5.524 5.345 0.010 9.330 6.927 5.953 5.412 5.064 4.821 4.640 4.499 0.025 6.554 3.096 4.474 4.121 3.891 3.728 3.606 3.512 0.050 4.747 3.885 3.490 3.259 3.106 2.996 2.913 2.849 0.005 10.80 7.701 6.476 5.803 5.372 5.071 4.847 4.674 0.010 8.683 6.359 5.417 4.893 4.556 4.318 4.142 4.004 0.025 6.200 4.765 4.153 3.804 3.576 3.415 3.293 3.199 0.050 4.543 3.682 3.287 3.056 2.901 2.790 2.707 2.641 0.005 9.944 6.986 5.818 5.174 4.762 4.472 4.257 4.090 0.010 8.096 5.849 4.938 4.431 4.103 3.871 3.699 3.564 0.025 5.872 4.461 3.859 3.515 3.289 3.128 3.007 2.913 0.050 4.351 3.493 3.098 2.866 2.711 2.599 2.514 2.447 0.005 9.180 6.355 5.239 4.623 4.228 3.949 3.742 3.580 0.010 7.562 5.390 4.510 4.018 3.699 3.474 3.304 3.173 0.025 5.568 4.182 3.589 3.250 3.026 2.867 2.746 2.651 0.050 4.171 3.316 2.922 2.690 2.534 2.420 2.334 2.266 0.005 8.495 5.795 4.729 4.140 3.760 3.492 3.291 3.134 0.010 7.077 4.977 4.126 3.649 3.339 3.119 2.953 2.823 0.025 5.286 3.925 3.342 3.008 2.786 2.627 2.507 2.412 0.050 4.001 3.150 2.758 2.525 2.368 2.254 2.166 2.097 0.005 8.179 5.539 4.497 3.921 3.548 3.285 3.087 2.933 0.010 6.851 4.786 3.949 3.480 3.174 2.956 2.792 2.663 120 0.025 5.152 3.805 3.227 2.894 2.674 2.515 2.395 2.299 0.050 3.920 3.072 2.680 2.447 2.290 2.175 2.087 2.016

附 表

266 9 6.541 5.351 4.025 3.179

10 6.417 5.256 3.964 3.173

分子自由度 df1 12 6.227 5.111 3.868 3.073

15 6.032 4.962 3.769 3.006

20 5.832 4.808 3.667 2.936

30 5.625 4.649 3.560 2.864

60 5.410 4.483 3.449 2.787

120 5.300 4.398 3.392 2.748 4.750 3.996 3.140 2.580 4.015 3.449 2.787 2.341 3.372 2.960 2.461 2.114 2.806 2.517 2.156 1.896 2.300 2.111 1.866 1.684 1.834 1.726 1.581 1.467 1.606 1.533 1.433 1.352

5.968 5.847 5.661 5.471 5.274 5.070 4.859 4.942 4.849 4.706 4.558 4.405 4.247 4.082 3.779 3.717 3.621 3.522 3.419 3.311 3.198 3.020 2.978 2.913 2.845 2.774 2.700 2.621 5.202 5.086 4.906 4.721 4.530

4.331 4.123

4.388 4.296 4.155 4.010 3.858 3.701 3.536 3.436 3.374 3.277 3.177 3.073 2.963 2.848 2.796 2.753 2.687 2.617 2.544 2.466 2.384 4.536 4.424 4.250 4.070 3.883 3.687

3.480

3.895 3.805 3.666 3.522 3.372 3.214 3.047 3.123 3.060 2.963 2.862 2.756 2.644 2.524 2.588 2.544 2.475 2.404 2.328 2.247 2.160 3.956 3.847

3.678 3.502 3.318 3.123 2.916

3.457 3.368 3.231 3.088 2.938 2.778 2.608 2.836 2.774 2.676 2.573 2.464 2.349 2.223 2.393 2.348 2.278 2.203 2.124 2.039 1.946 3.450 3.344 3.179 3.006 2.823 2.628 2.415 3.066 2.979 2.843 2.700 2.549 2.386 2.208 2.575 2.511 2.412 2.307 2.195 2.074 1.940 2.211 2.165 2.092 2.015 1.932 1.841 1.740 3.008 2.904 2.742 2.570 2.387 2.187

1.962

2.718 2.632 2.496 2.352 2.198 2.028 1.836 2.334 2.270 2.169 2.061 1.944 1.816 1.667 2.040 1.993 1.917 1.836 1.748 1.649 1.534 2.808 2.705 2.544 2.373 2.188

1.984 1.747

2.559 2.472 2.336 2.192 2.035 1.860 1.656 2.222 2.157 2.055 1.945 1.825 1.690 1.530 1.959 1.910 1.834 1.750 1.659 1.554 1.429

附 表 附表9 多重比较中的Duncan表 269 r0. 01 (k,df) k df 2 3 4 5 6 7 8 9 10 20 50 100 90.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 1 90.0 90.0 90.0 2 14.0 14.0 14.0 14.0 14.0 14.0 14.0 14.0 14.0 14.0 14.0 14.0 3 8.26 8.5 8.6 8.7 8.8 8.9 8.9 9.0 9.0 9.3 9.3 9.3 4 6.51 6.8 6.9 7.0 7.1 7.1 7.2 7.2 7.3 7.5 7.5 7.5 5 5.70 5. 96 6. 11 6.18 6.26 6.33 6.40 6.44 6.5 6.8 6.8 6.8 6 5.24 5.51 5.65 5.73 5.81 5.88 5.95 6.00 6.0 6.3 6.3 6.3 7 4.95 5.22 5.37 5.45 5.53 5.61 5.69 5.73 5.8 6.0 6.0 6.0 8 4. 74 5.00 5.14 5.23 5.32 5.40 5.47 5.51 5.5 5.8 5.8 5.8 9 4. 60 4.86 4.99 5.05.17 5.25 5.32 5.35.4 5.7 5.7 5.7 10 4.48 4.73 4.88 4.96 8 5.06 5.13 5.20 5.24 6 5.28 5.55 5.55 5.55 11 4.39 4.63 4.77 4.86 4.94 5.01 5.06 5.12 5.15 5.39 5.39 5.39 12 4.32 4.55 4.68 4.74.84 4.92 4.96 5.02 5.07 5.26 5.26 5.26 13 4.26 4.48 4.62 4.69 6 4.74 4.84 4.88 4.94 4.98 5.15 5.15 5.15 14 4.21 4.42 4.55 4.63 4.70 4.78 4.83 4.87 4.91 5.07 5.07 5.07 15 4.17 4.37 4.50 4.58 4.64 4.72 4.77 4.81 4.84 5.00 5.00 5.00 16 4.13 4.34 4.45 4.54 4.60 4.67 4.72 4.76 4.79 4.94 4.94 4.94 17 4.10 4.30 4.41 4.54.56 4.63 4.68 4.72 4.75 4.84.89 4.89 18 4.07 4.27 4.38 4.46 4.53 4.59 4.64 4.68 4.71 4.85 4.85 4.85 19 4.05 4.24 4.35 4.43 4.50 4.56 4.61 4.64 4.67 4.82 4.82 4.82 20 4.02 4.22 4.33 4.40 4.47 4.53 4.58 4.61 4.65 4.79 4.79 4.79 30 3.89 4.06 4. 16 4.22 4.32 4.36 4.41 4.45 4.48 4.65 4.71 4.71 40 3.82 3.99 4.10 4.17 4.24 4.30 4.34 4.37 4.41 4.59 4.69 4.69 60 3.76 3.92 4.03 4.12 4.17 4.23 4.27 4.31 4.34 4.53 4.66 4.66 100 3.71 3.86 3.98 4.06 4.11 4.17 4.21 4.25 4.29 4.48 4.64 4.65 3.98 4. 04 4.09 4.14 4.17 4.20 4.41 4.60 4.68 ∞ 3.64 3.80 3.90 r0. 05 (k,df) df 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 30 40 60 100∞ 0 k 2 3 4 5 6 7 8 9 10 20 50 100 18.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 6.09 6.09 6.09 6.09 6.09 6.09 6.09 6.09 6.09 6.09 6.09 6.09 4.50 4.50 4.50 4.50 4.50 4.50 4.50 4.50 4.50 4.50 4.50 4.50 3.93 4.01 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 3.64 3. 74 3.79 3.83 3.83 3.83 3.83 3.83 3.83 3.83 3.83 3.83 3.46 3.58 3.64 3.68 3.68 3.68 3.68 3.68 3.68 3.68 3.68 3.68 3.35 3.47 3.54 3.58 3.60 3.61 3.61 3.61 3.61 3.61 3.61 3.61 3.26 3.39 3.47 3.52 3.55 3.56 3.56 3.56 3.56 3.56 3.56 3.56 3.20 3.34 3.40 3.47 3.50 3.52 3.52 3.52 3.52 3.52 3.52 3.52 3.15 3.30 3.37 3.43 3.46 3.47 3.47 3.47 3.47 3.48 3.48 3.48 3.11 3.27 3.35 3.39 3.43 3.44 3.45 3.46 3.46 3.48 3.48 3.48 3.08 3.23 3.33 3.36 3.40 3.42 3.44 3.44 3.46 3.48 3.48 3.48 3.06 3.21 3.30 3.35 3.38 3.41 3.42 3.44 3.45 3.47 3.47 3.47 3.03 3.18 3.27 3.33 3.37 3.39 3.41 3.42 3.44 3.47 3.47 3.47 3.01 3.16 3.25 3.31 3.36 3.38 3.40 3.42 3.43 3.47 3.47 3.47 3.00 3.15 3.23 3.30 3.34 3.37 3.39 3.41 3.43 3.47 3.47 3.47 2.98 3.18 3.22 3.28 3.33 3.36 3.38 3.43.42 3.47 3.47 3.47 2.97 3.12 3.21 3.27 3.32 3.35 3.37 3.39 0 3.41 3.47 3.47 3.47 2.96 3.11 3.19 3.26 3.31 3.35 3.37 3.39 3.41 3.47 3.47 3.47 2.95 3.10 3.18 3.25 3.30 3.34 3.36 3.38 3.40 3.47 3.47 3.47 2.89 3.04 3.12 3.20 3.25 3.29 3.32 3.35 3.37 3.47 3.47 3.47 2.86 3.01 3.10 3.17 3.22 3.27 3.30 3.33 3.35 3.47 3.47 3.47 2.83 2.98 3.08 3.14 3.20 3.24 3.28 3.31 3.33 3.47 3.48 3.48 2.80 2.95 3.05 3.12 3.18 3.22 3.26 3.29 3.32 3.47 3.53 3.53 2.77 2.92 3.02 3.09 3.15 3.19 3.23 3.26 3.29 3.47 3.61 3.67

附 表 附表10 百分数的sin?1270 % 0 0 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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49

0.1 0.2 0.3 % 0.4 0.5 P变换 0.8 0.9 5.44 7.92 9.81 11.39 12.79 14.06 15.23 16.32 17.36 18.34 19.28 20.18 21.05 21.89 22.71 23.50 24.27 25.03 25.77 26.49 27.20 27.90 28.59 29.27 29.93 30.59 31.24 31.88 32.52 33.15 33.77 34.39 35.00 35.61 36.21 36.81 37.40 38.00 38.59 39.17 39.76 40.34 40.92 41.50 42.07 42.65 43.22 43.80 44.37 44.94 0.6 0.7 0 1.81 2.56 3.14 3.63 4.05 4.44 4.80 5.13 5.74 6.02 6.29 6.55 6.80 7.04 7.27 7.49. 7.71 8.13 8.33 8.53 8.72 8.91 9.10 9.28 9.46 9.63 9.98 10.14 10.31 10.47 10.63 10.78 10.94 11.09 11.24 11.54 11.68 11.83 11.97 12.11 12.25 12.39 12.52 12.66 12.92 13.05 13.18 13.31 13.44 13.56 13.69 13.81 13.94 14.18 14.30 14.42 14.54 14.65 14.77 14.89 15.00 15.12 15.34 15.45 15.56 15.68 15.79 15.89 16.00 16.11 16.22 16.43 16.54 16.64 16.74 16.85 16.95 17.05 17.16 17.26 17.46 17.56 17.66 17.76 17.85 17.95 18.05 18.15 18.24 18.44 18.53 18.63 18.72 18.81 18.91 19.00 19.09 19.19 19.37 19.46 19.55 19.64 19.73 19.82 19.91 20.00 20.09 20.27 20.30 20.44 20.53 20.62 20.70 20.79 20.88 20.96 21.13 21.22 21.30 21.39 21.47 21.56 21.64 21.72 21.81 21.97 22.06 22.14 22.22 22.30 22.38 22.46 22.55 22.63 22.79 22.87 22.95 23.03 23.11 23.19 23.26 23.34 23.42 23.58 23.66 23.73 23.81 23.89 23.97 24.04 24.12 24.20 24.35 24.43 24.50 24.58 24.65 24.73 24.80 24.88 24.95 25.10 25.18 25.25 25.33 25.40 25.48 25.55 25.62 25.70 25.84 25.92 25.99 26.06 26.13 26.21 26.28 26.35 26.42 26.56 26.64 26.71 26.78 26.85 26.92 26.99 27.06 27.13 27.28 27.35 27.42 27.49 27.56 27.63 27.69 27.76 27.83 27.97 28.04 28.11 28.18 28.25 28.32 28.38 28.45 28.52 28.66 28.73 28.79 28.86 28.93 29.00 29.06 29.13 29.20 29.33 29.40 29.47 29.53 29.60 29.67 29.73 29.80 29.87 30.00 30.07 30.13 30.20 30.26 30.33 30.40 30.46 30.53 30.61 30.72 30.79 30.85 30.92 30.98 31.05 31.11 31.18 31.31 31.37 31.44 31.50 31.56 31.63 31.69 31.76 31.82 31.95 32.01 32.08 32.14 32.20 32.27 32.33 32.39 32.46 32.58 32.65 32.71 32.77 32.83 32.90 32.96 33.02 33.09 33.21 33.27 33.34 33.40 33.46 33.52 33.58 33.65 33.71 33.83 33.89 33.96 34.02 34.08 34.14 34.20 34.27 34.33 34.45 34.51 34.57 34.63 34.70 34.76 34.82 34.88 34.94 35.06 35.12 35.18 35.24 35.30 35.37 35.43 35.49 35.55 35.67 35.73 35.79 35.85 35.91 35.97 36.03 36.09 36.15 36.27 36.33 36.39 36.45 36.51 36.57 36.63 36.69 36.75 36.87 36.93 36.99 37.05 37.11 37.17 37.23 37.29 37.35 37.47 37.52 37.58 37.64 37.70 37.76 37.82 37.88 37.94 38.06 38.12 38.17 38.23 38.29 38.35 38.41 38.47 38.53 38.65 38.70 38.76 38.82 38.88 38.94 39.00 39.06 39.11 39.23 39.29 39.35 39.41 39.47 39.52 39.58 39.64 39.70 39.82 39.87 39.93 39.99 40.05 40.11 40.16 40.22 40.28 40.40 40.46 40.51 40.57 40.63 40.69 40.74 40.80 40.86 40.98 41.03 41.09 41.15 41.21 41.27 41.32 41.38 41.44 41.55 41.61 41.67 41.73 41.78 41.84 41.90 41.96 42.02 42.13 42.19 42.25 42.30 42.36 42.42 42.48 42.53 42.59 42.71 42.76 42.82 42.88 42.94 42.99 43.05 43.11 43.17 43.28 43.34 43.39 43.45 43.51 43.57 43.62 43.68 43.74 43.85 43.91 43.97 44.03 44.08 44.14 44.20 44.25 44.31 44.43 44.48 44.54 44.60 44.66 44.71 44.77 44.83 44.89 附 表

271 % 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

% 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 45.00 45.06 45.11 45.17 45.23 45.29 45.34 45.40 45.46 45.52 45.57 45.63 45.69 45.75 45.80 45.86 45.92 45.97 46.03 46.09 46.15 46.20 46.26 46.32 46.38 46.43 46.49 46.55 46.61 46.66 46.72 46.78 46.83 46.89 46.95 47.01 47.06 47.12 47.18 47.24 47.29 47.35 47.41 47.47 47.52 47.58 47.64 47.70 47.75 47.81 47.87 47.93 47.98 48.04 48.10 48.16 48.22 48.27 48.33 48.39 48.45 48.50 48.56 48.62 48.68 48.73 48.79 48.85 48.91 48.97 49.02 49.08 49.14 49.20 49.26 49.31 49.37 49.43 49.49 49.54 49.60 49.66 49.72 49.78 49.84 49.89 49.95 50.01 50.07 50.13 50.18 50.24 50.30 50.36 50.42 50.48 50.53 50.59 50.65 50.71 50.77 50.83 50.89 50.94 51.00 51.06 51.12 51.18 51.24 51.30 51.35 51.41 51.47 51.53 51.59 51.65 51.71 51.77 51.83 51.88 51.94 52.00 52.06 52.12 52.18 52.24 52.30 52.36 52.42 52.48 52.53 52.59 52.65 52.71 52.77 52.83 52.89 52.95 53.01 53.07 53.13 53.19 53.25 53.31 53.37 53.43 53.49 53.55 53.61 53.67 53.73 53.79 53.85 53.91 53.97 54.03 54.09 54.15 54.21 54.27 54.33 54.39 54.45 54.51 54.57 54.63 54.70 54.76 54.82 54.88 54.94 55.00 55.06 55.12 55.18 55.24 55.30 55.37 55.43 55.49 55.55 55.61 55.67 55.73 55.80 55.86 55.92 55.98 56.04 56.11 56.17 56.23 56.29 56.35 56.42 56.48 56.54 56.66 56.60 56.73 56.79 56.85 56.91 56.98 57.04 57.10 57.17 57.23 57.29 57.35 57.42 57.48 57.54 57.61 57.67 57.73 57.80 57.86 57.92 57.99 58.05 58.12 58.18 58.24 58.31 58.37 58.44 58.50 58.56 58.63 58.69 58.76 58.82 58.89 58.95 59.02 59.08 59.15 59.21 59.28 59.34 59.41 59.47 59.54 59.60 59.67 59.74 59.80 59.87 59.93 60.00 60.07 60.13 60.20 60.27 60.33 60.40 60.47 60.53 60.60 60.67 60.73 60.80 60.87 60.94 61.00 61.07 61.14 61.21 61.27 61.34 61.41 61.48 61.55 61.62 61.68 61.75 61.82 61.89 61.96 62.03 62.10 62.17 62.24 62.31 62.37 62.44 62.51 62.58 62.65 62.72 62.80 62.87 62.94 63.01 63.08 63.15 63.22 63.29 63.36 63.44 63.51 63.58 63.65 63.72 63.79 63.87 63.94 64.01 64.08 64.16 64.23 64.30 64.38 64.45 64.52 64.60 64.67 64.75 64.82 64.90 64.97 65.05 65.12 65.20 65.27 65.35 65.42 65.50 65.57 65.65 65.73 65.80 65.88 65.96 66.03 66.11 66.19 66.27 66.34 66.42 66.50 66.58 66.66 66.74 66.81 66.89 66.97 67.05 67.13 67.21 67.29 67.37 67.45 67.54 67.62 67.70 67.78 67.86 67.94 68.03 68.11 68.19 68.28 68.36 68.44 68.53 68.61 68.70 68.78 68.87 68.95 69.04 69.12 69.21 69.30 69.38 69.47 69.56 69.64 69.73 69.82 69.91 70.00 70.09 70.18 70.27 70.36 70.45 70.54 70.63 70.72 70.81 70.91 71.00 71.09 71.19 71.28 71.37 71.47 71.56 71.66 71.76 71.85 71.95 72.05 72.15 72.24 72.34 72.44 72.54 72.64 72.74 72.84 72.95 73.05 73.15 73.26 73.36 73.46 73.57 73.68 73.78 73.89 74.00 74.11 74.21 74.32 74.44 74.55 74.66 74.77 74.88 75.00 75.11 75.23 75.35 75.46 75.58 75.70 75.82 75.94 76.06 76.19 76.31 76.44 76.56 76.69 76.82 76.95 77.08 77.21 77.34 77.48 77.61 77.75 77.89 78.03 78.17 78.32 78.46 78.61 78.76 78.91 79.06 79.22 79.37 79.53 79.69 79.86 80.02 80.19 80.37 80.54 80.72 80.90 81.09 81.28 81.47 81.67 81.87 82.08 82.29 82.51 82.73 82.96 83.20 83.45 83.71 83.98 84.26 84.56 84.87 85.20 85.56 85.95 86.37 86.86 87.44 88.19 90.00

附 表

百分率坐标 272 附表11 由百分率坐标变为概率坐标表

概率坐标 百分率坐标 概率坐标 百分率坐标 概率坐标 百分率坐标 概率坐标 l 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

-2.326 -2.054 -1.881 -1.751 -1.645 -1.555 -1.476 - 1.405 -1.341 -1.282 -1.227 -1.175 -1.126 -1.080 -1.036 -0.995 -0.954 -0.915 -0.878 -0.842 -0.806 -0.772 -0.739 -0.706 -0.675 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 -0.643 -0.613 -0.583 -0.552 -0.524 -0.496 -0.468 -0.440 -0.413 -0.385 -0.359 -0.332 -0.306 -0.279 -0.253 -0.228 -0.202 -0.176 -0.151 -0.126 -0.100 -0.075 -0.050 -0.025 0.000 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 0.025 0.050 0.075 0.100 0.126 0.151 0.176 0.202 0.228 0.253 0.279 0.306 0.332 0.359 0.385 0.413 0.440 0.468 0.496 0.524 0.552 0.583 0.613 0.643 0.675 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 91 95 96 97 98 99 0.706 0.739 0.772 0.806 0.842 0.878 0.915 0.954 0.995 1.036 1.080 1.126 1.175 1.227 1.282 1.341 1.405 1.476 1.555 1.645 1.751 1.881 2.054 2.326 附 表 附表12 相关系数检验表 273 剩余 自由度 1 l 0.997 2 0.950 3 0.878 4 0.811 5 0.754 6 0.707 7 0.666 8 0.632 9 0.602 10 0.567 11 0.553 12 0.532 13 0.514 14 0.497 15 0.482 16 0.468 17 0.456 18 0.444 19 0.433 20 0.432 21 0.413 22 0.404 23 0.396 24 0.388 25 0.381 26 0.374 27 0.367 28 0.361 29 0.355 30 0.349 35 0.325 40 0.304 45 0.288 50 0.273 60 0.250 70 0.232 80 0.217 90 0.205 100 0.195 125 0.174 150 0.159 200 0.138 300 0.113 400 0.098 500 0.088 ? = 0.05 独立自变量个数k 2 0.999 0.975 0.930 0.881 0.836 0.795 0.758 0.726 0.697 0.671 0.648 0.627 0.608 0.590 0.574 0.559 0.545 0.532 0.520 0.509 0.498 0.488 0.479 0.470 0.462 0.454 0.446 0.439 0.432 0.426 0.397 0.373 0.353 0.336 0.308 0.286 0.269 0.254 0.241 0.216 0.198 0.172 0.141 0.122 0.109 3 0.999 0.983 0.950 0.912 0.874 0.839 0.807 0.777 0.750 0.726 0.703 0.683 0.664 0.646 0.630 0.615 0.601 0.587 0.575 0.563 0.522 0.542 0.532 0.523 0.514 0.506 0.498 0.490 0.482 0.476 0.445 0.419 0.397 0.379 0.348 0.324 0.304 0.288 0.274 0.246 0.225 0.196 0.160 0,139 0.124 4 0.999 0.987 0.961 0.930 0.898 0.867 0.838 0.811 0.786 0.763 0.741 0.722 0.703 0.686 0.670 0.655 0.641 0.628 0.615 0.604 0.592 0.582 0.572 0.562 0.553 0.545 0.536 0.529 0.521 0.514 0.482 0.455 0.432 0.412 0.380 0.354 0.332 0.315 0.300 0.269 0.247 0.215 0.176 0.153 0.137 ? = 0.01 剩余 独立自变量个数k 自由度 1 2 . 3 4 1 1.000 1.000 1.000 1.000 2 0.990 0.995 0.997 0.998 3 0.959 0.976 0.983 0.987 4 0.917 0.949 0.962 0.970 5 0.874 0.917 0.937 0.949 6 0.834 0.886 0.911 0.927 7 0.798 0.855 0.885 0.904 8 0.765 0.827 0.860 0.882 9 0.735 0.800 0.836 0.861 10 0.708 0.776 0.814 0.840 11 0.684 0.753 0.793 0.821 12 0.661 0.732 0.773 0.802 13 0.641 0.712 0.755 0.785 14 0.623 0.694 0.737 0.768 15 0.606 0.677 0.721 0.752 16 0.590 0.662 0.706 0.738 17 0.575 0.647 0.691 0.724 18 0.561 0.633 0.678 0.710 19 0.549 0.620 0.665 0.698 20 0.537 0.608 0.652 0.685 21 0.526 0.596 0.641 0.674 22 0.515 0.585 0.630 0.663 23 0.505 0.574 0.619 0.652 24 0.496 0.565 0.609 0.642 25 0.487 0.555 0.600 0.633 26 0.478 0.546 0.590 0.624 27 0.470 0.538 0.582 0.615 28 0.463 0.530 0.573 0.606 29 0.456 0.522 0.565 0.598 30 0.449 0.514 0.558 0.591 35 0.418 0.481 0.523 0.556 40 0.393 0.454 0.494 0.526 45 0.372 0.430 0.470 0.501 50 0.354 0.410 0.449 0.479 60 0.325 0.377 0.414 0.442 70 0.302 0.351 0.386 0.413 80 0.283 0.330 0.362 0.389 90 0.267 0.312 0.343 0.368 100 0.254 0.297 0.327 0.351 125 0.228 0.266 0.294 0.316 150 0.208 0.244 0.270 0.290 200 0.181 0.212 0.234 0.253 300 0.148 0.174 0.192 0.208 400 0.128 0.151 0.167 0.180 500 0.115 0.135 0.150 0.162

附 表 附表13 r与z的换算表 11?r（表内为r） z?ln21?r z 0.00 274 0.01 0.02 0.03 z 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0100 0.0200 0.0300 0.0400 0.0500 0.0599 0.0699 0.0798 0.0898 0.1 0.0997 0.1096 0.1194 0.1293 0.1391 0.1489 0.1586 0.1684 0.1781 0.1877 0.2 0.1974 0.2070 0.2165 0.2260 0.2355 0.2449 0.2543 0.2636 0.2729 0.2821 0.3 0.2913 0.3004 0.3095 0.3185 0.3275 0.3364 0.3452 0.3540 0.3627 0.3714 0.4 0.3800 0.3885 0.3969 0.4053 0.4136 0.4219 0.4301 0.4382 0.4462 0.4542 0.5 0.4621 0.4699 0.4777 0.4854 0.4930 0.5005 0.5080 0.5154 0.5227 0.5299 0.6 0.5370 0.5441 0.5511 0.5580 0.5649 0.5717 0.5784 0.5850 0.5915 0.5980 0.7 0.6044 0.6107 0.6169 0.6231 0.6291 0.6351 0.6411 0.6469 0.6527 0.6584 0.8 0.6640 0.6696 0.6751 0.6805 0.6858 0.6911 0.6963 0.7014 0.7064 0.7114 0.9 0.7163 0.7211 0.7259 0.7306 0.7352 0.7398 0.7443 0.7487 0.7531 0.7574 1.0 0.7616 0.7658 0.7699 0.7739 0.7779 0.7818 0.7857 0.7895 0.7932 0.7969 1.1 0.8005 0.8041 0.8076 0.8110 0.8144 0.8178 0.8210 0.8243 0.8275 0.8306 1.2 0.8337 0.8367 0.8397 0.8426 0.8455 0.8483 0.8511 0.8538 0.8565 0.8591 1.3 0.8617 0.8643 0.8668 0.8692 0.8717 0.8741 0.8764 0.8787 0.8810 0.8832 1.4 0.8854 0.8875 0.8896 0.8917 0.8937 0.8957 0.8977 0.8996 0.9015 0.9033 1.5 0.9051 0.9069 0.9087 0.9104 0.9121 0.9138 0.9154 0.9170 0.9186 0.9201 1.6 0.9217 0.9232 0.9246 0.9261 0.9275 0.9289 0.9302 0.9316 0.9329 0.9341 1.7 0.9354 0.9366 0.9379 0.9391 0.9402 0.9414 0.9425 0.9436 0.9447 0.9458 1.8 0.94681 0.94783 0.94884 0.94983 0.95080 0.95175 0.95268 0.95359 0.95449 0.95537 1.9 0.95624 0.95709 0.95792 0.95873 0.95953 0.96032 0.96109 0.96185 0.96259 0.96331 2.0 0.96403 0.96473 0.96541 0.96609 0.96675 0.96739 0.96803 0.96865 0.96926 0.96986 2.1 0.97045 0.97103 0.97159 0.97215 0.97269 0.97323 0.97375 0.97426 0.97477 0.97526 2.2 0.97574 0.97622 0.97668 0.97714 0.97759 0.97803 0.97846 0.97888 0.97929 0.97970 2.3 0.98010 0.98049 0.98087 0.98124 0.98161 0.98197 0.98233 0.98267 0.98301 0.98335 2.4 0.98367 0.98399 0.98431 0.98462 0.98492 0.98522 0.98551 0.98579 0.98607 0.98635 2.5 0.98661 0.98688 0.98714 0.98739 0.98764 0.98788 0.98812 0.98835 0.98858 0.98881 2.6 0.98903 0.98924 0.98945 0.98966 0.98987 0.99007 0.99026 0.99045 0.99064 0.99083 2.7 0.99101 0.99118 0.99136 0.99153 0.99170 0.99186 0.99202 0.99218 0.99233 0.99248 2.8 0.99263 0.99278 0.99292 0.99306 0.99320 0.99333 0.99346 0.99359 0.99372 0.99384 2.9 0.99396 0.99408 0.99420 0.99431 0.99443 0.99454 0.99464 0.99475 0.99485 0.99495

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