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1、附录II 常用统计表 附录II 常用统计表 附表 1 正态分布概率表()zxxPZF)()(vtvtP 单侧 双侧=0.10=0.20 0.05 0.10 0.025 0.05 0.01 0.02 0.005 0.01=1 3.078 6.314 12.706 31.821 63.657 2 1.886 2.920 4.303 6.965 9.925 3 1.638 2.353 3.182 4.541 5.841 4 1.533 2.132 2.776 3.747 4.604 5 1.476 2.015 2.571 3.365 4.032 6 1.440 1.943 2.447 3.143 3
2、.707 7 1.415 1.895 2.365 2.998 3.499 8 1.397 1.860 2.306 2.896 2.355 9 1.383 1.833 2.262 2.821 3.250 10 1.372 1.812 2.228 2.764 3.169 11 1.363 1.796 2.201 2.718 3.106 12 1.356 1.782 2.179 2.681 3.055 13 1.350 1.771 2.160 2.650 3.012 14 1.345 1.761 2.145 2.624 2.977 15 1.341 1.753 2.131 2.602 2.947 1
3、6 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 20 1.325 1.725 2.086 2.528 2.845 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 2.500 2.807 24 1.318 1.711 2.064 2.492 2.797 25 1
4、.316 1.708 2.060 2.485 2.787 26 1.315 1.706 2.056 2.479 2.779 27 1.314 1.703 2.052 2.473 2.771 28 1.313 1.701 2.048 2.467 2.763 29 1.311 1.699 2.045 2.462 2.756 30 1.310 1.697 2.042 2.457 2.750 40 1.303 1.684 2.021 2.423 2.704 50 1.299 1.676 2.009 2.403 2.678 60 1.296 1.671 2.000 2.390 2.660 70 1.29
5、4 1.667 1.994 2.381 2.648 80 1.292 1.664 1.990 2.374 2.639 90 1.291 1.662 1.987 2.368 2.632 100 1.290 1.660 1.984 2.364 2.626 125 1.288 1.657 1.979 2.357 2.616 150 1.287 1.655 1.976 2.351 2.609 200 1.286 1.653 1.972 2.345 2.601 1.282 1.645 1.960 2.326 2.576 附表 3 分布临界值表 2=)()(22P 显 著 性 水 平（）0.99 0.98
6、 0.95 0.90 0.80 0.70 0.50 0.30 0.20 0.10 0.05 0.02 0.01 1 0.0002 0.0006 0.0039 0.0158 0.0642 0.148 0.455 1.074 1.642 2.706 3.841 5.412 6.635 2 0.0201 0.0404 0.103 0.211 0.446 0.713 1.386 2.403 3.219 4.605 5.991 7.824 9.210 3 0.115 0.185 0.352 0.584 1.005 1.424 2.366 3.665 4.642 6.251 7.815 9.837 11.
7、341 4 0.297 0.429 0.711 1.064 1.649 2.195 3.357 4.878 5.989 7.779 9.488 11.668 13.277 5 0.554 0.752 1.145 1.610 2.343 3.000 4.351 6.064 7.289 9.236 11.070 13.388 15.068 6 0.872 1.134 1.635 2.204 3.070 3.828 5.348 7.231 8.558 10.645 12.592 15.033 16.812 7 1.239 1.564 2.167 2.833 3.822 4.671 6.346 8.3
8、83 9.803 12.017 14.067 16.622 18.475 8 1.646 2.032 2.733 3.490 4.594 5.527 7.344 9.524 11.030 13.362 15.507 18.168 20.090 9 2.088 2.532 3.325 4.168 5.380 6.393 8.343 10.656 12.242 14.684 16.919 19.679 21.666 10 2.558 3.059 3.940 4.865 6.179 7.267 9.342 11.781 13.442 15.987 18.307 21.161 23.209 11 3.
9、053 3.609 4.575 5.578 6.989 8.148 10.341 12.899 14.631 17.275 19.675 22.618 24.725 12 3.571 4.178 5.226 6.304 7.807 9.304 11.340 14.011 15.812 18.549 21.026 24.054 26.217 13 4.107 4.765 5.892 7.042 8.634 9.926 12.340 15.119 16.985 19.812 22.362 25.472 27.688 14 4.660 5.368 6.571 7.790 9.467 10.821 1
10、3.339 16.222 18.151 21.064 23.685 26.873 29.141 15 5.229 5.985 7.261 8.547 10.307 11.721 14.339 17.322 19.311 22.307 24.996 28.259 30.578 16 5.812 6.614 7.962 9.312 11.152 12.624 15.338 18.413 20.465 23.542 26.296 29.633 32.000 17 6.408 7.255 8.672 10.035 12.002 13.531 16.338 19.511 21.615 24.769 27
11、.587 30.995 33.409 18 7.015 7.906 9.390 10.865 12.857 14.440 17.338 20.601 22.760 25.989 28.869 32.346 34.805 19 7.633 8.567 10.117 11.651 13.716 15.352 18.338 21.689 23.900 27.204 30.144 33.687 36.191 20 8.260 9.237 10.851 12.443 14.578 16.266 19.337 22.775 25.038 28.412 31.410 35.020 37.566 21 8.8
12、97 9.915 11.591 13.240 15.445 17.182 20.337 23.858 26.171 29.615 32.671 36.343 38.932 22 9.542 10.600 12.338 14.041 16.314 18.101 21.337 24.939 27.301 30.813 33.924 37.659 40.289 23 10.196 11.293 13.091 14.848 17.187 19.021 22.337 26.018 28.429 32.007 35.172 37.968 41.638 24 10.856 11.992 13.848 15.
13、659 18.062 19.943 23.337 27.096 29.553 33.196 36.415 40.270 42.980 25 11.524 12.697 14.611 16.473 18.940 20.867 24.337 28.172 30.675 34.382 37.652 41.566 44.314 26 12.198 13.409 15.379 17.292 19.820 21.792 25.336 29.246 31.795 35.563 38.885 42.856 45.642 27 12.897 14.125 16.151 18.114 20.703 22.719
14、26.336 30.319 32.912 36.741 40.113 44.140 46.963 28 13.565 14.847 16.928 18.930 21.588 23.647 27.336 31.391 34.027 37.916 41.337 45.419 48.278 29 14.256 15.574 17.708 19.768 22.475 24.577 28.336 32.461 35.139 39.087 42.557 46.693 49.588 30 14.593 16.306 18.493 20.599 23.364 25.508 29.336 33.530 36.2
15、50 40.256 43.773 47.962 50.892 附表 4 F分布临界值表（=0.05）=),(),(2121FFP 1 21 2 3 4 5 6 8 10 15 1 161.4199.5215.7224.6230.2234.0238.9241.9245.9 2 18.5119.0019.1619.2519.3019.3319.3719.4019.43 3 10.139.55 9.28 9.12 9.01 8.94 8.85 8.79 8.70 4 7.71 6.94 6.59 6.39 6.26 6.16 6.04 5.96 5.86 5 6.61 5.79 5.41 5.19
16、5.05 4.95 4.82 4.74 4.62 6 5.99 5.14 4.76 4.53 4.39 4.28 4.15 4.06 3.94 7 5.59 4.74 4.35 4.12 3.97 3.87 3.73 3.64 3.51 8 5.32 4.46 4.07 3.84 3.69 3.58 3.44 3.35 3.22 9 5.12 4.26 3.86 3.63 3.48 3.37 3.23 3.14 3.01 10 4.96 4.10 3.71 3.48 3.33 3.22 3.07 2.98 2.85 11 4.84 3.98 3.59 3.36 3.20 3.09 2.95 2
17、.85 2.72 12 4.75 3.89 3.49 3.26 3.11 3.00 2.85 2.75 2.62 13 4.67 3.81 3.41 3.18 3.03 2.92 2.77 2.67 2.53 14 4.60 3.74 3.34 3.11 2.96 2.85 2.70 2.60 2.46 15 4.54 3.68 3.29 3.06 2.90 2.79 2.64 2.54 2.40 16 4.49 3.63 3.24 3.01 2.85 2.74 2.59 2.49 2.35 17 4.45 3.59 3.20 2.96 2.81 2.70 2.55 2.45 2.31 18
18、4.41 3.55 3.16 2.93 2.77 2.66 2.51 2.41 2.27 19 4.38 3.52 3.13 2.90 2.74 2.63 2.48 2.38 2.23 20 4.35 3.49 3.10 2.87 2.71 2.60 2.45 2.35 2.20 21 4.32 3.47 3.07 2.84 2.68 2.57 2.42 2.32 2.18 22 4.30 3.44 3.05 2.82 2.66 2.55 2.40 2.30 2.15 23 4.28 3.42 3.03 2.80 2.64 2.53 2.37 2.27 2.13 24 4.26 3.40 3.
19、01 2.78 2.62 2.51 2.36 2.25 2.11 25 4.24 3.39 2.99 2.76 2.60 2.49 2.34 2.24 2.09 26 4.23 3.37 2.98 2.74 2.59 2.47 2.32 2.22 2.07 27 4.21 3.35 2.96 2.73 2.57 2.46 2.31 2.20 2.06 28 4.20 3.34 2.95 2.71 2.56 2.45 2.29 2.19 2.04 29 4.18 3.33 2.93 2.70 2.55 2.43 2.28 2.18 2.03 30 4.17 3.32 2.92 2.69 2.53
20、 2.42 2.27 2.16 2.01 40 4.08 3.23 2.84 2.61 2.45 2.34 2.18 2.08 1.92 50 4.03 3.18 2.79 2.56 2.40 2.29 2.13 2.03 1.87 60 4.00 3.15 2.76 2.53 2.37 2.25 2.10 1.99 1.84 70 3.98 3.13 2.74 2.50 2.35 2.23 2.07 1.97 1.81 80 3.96 3.11 2.72 2.49 2.33 2.21 2.06 1.95 1.79 90 3.95 3.10 2.71 2.47 2.32 2.20 2.04 1
21、.94 1.78 100 3.94 3.09 2.70 2.46 2.31 2.19 2.03 1.93 1.77 125 3.92 3.07 2.68 2.44 2.29 2.17 2.01 1.91 1.75 150 3.90 3.06 2.66 2.43 2.27 2.16 2.00 1.89 1.73 200 3.89 3.04 2.65 2.42 2.26 2.14 1.98 1.88 1.72 3.84 3.00 2.60 2.37 2.21 2.10 1.94 1.83 1.67 附表 4（续）（=0.01）=0.01）1 21 2 3 4 5 6 8 10 15 1 40524
22、999 5403 5625 5764 5859 5981 6056 6157 2 98.5099.0099.1799.2599.3099.3399.3799.4099.43 3 34.1230.8229.4628.7128.2427.9127.4927.2326.87 4 21.2018.0016.6915.9815.5215.2114.8014.5514.20 5 16.2613.2712.0611.3910.9710.6710.2910.059.72 6 13.7510.929.78 9.15 8.75 8.47 8.10 7.87 7.56 7 12.259.55 8.45 7.85 7
23、.46 7.19 6.84 6.62 6.31 8 11.268.65 7.59 7.01 6.63 6.37 6.03 5.81 5.52 9 10.568.02 6.99 6.42 6.06 5.80 5.47 5.26 4.96 10 10.047.56 6.55 5.99 5.64 5.39 5.06 4.85 4.56 11 9.65 7.21 6.22 5.67 5.32 5.07 4.74 4.54 4.25 12 9.33 6.93 5.95 5.41 5.06 4.82 4.50 4.30 4.01 13 9.07 6.70 5.74 5.21 4.86 4.62 4.30
24、4.10 3.82 14 8.86 6.51 5.56 5.04 4.69 4.46 4.14 3.94 3.66 15 8.86 6.36 5.42 4.89 4.56 4.32 4.00 3.80 3.52 16 8.53 6.23 5.29 4.77 4.44 4.20 3.89 3.69 3.41 17 8.40 6.11 5.19 4.67 4.34 4.10 3.79 3.59 3.31 18 8.29 6.01 5.09 4.58 4.25 4.01 3.71 3.51 3.23 19 8.18 5.93 5.01 4.50 4.17 3.94 3.63 3.43 3.15 20
25、 8.10 5.85 4.94 4.43 4.10 3.87 3.56 3.37 3.09 21 8.02 5.78 4.87 4.37 4.04 3.81 3.51 3.31 3.03 22 7.95 5.72 4.82 4.31 3.99 3.76 3.45 3.26 2.98 23 7.88 5.66 4.76 4.26 3.94 3.71 3.41 3.21 2.93 24 7.82 5.61 4.72 4.22 3.90 3.67 3.36 3.17 2.89 25 7.77 5.57 4.68 4.18 3.85 3.63 3.32 3.13 2.85 26 7.72 5.53 4
26、.64 1.14 3.82 3.59 3.29 3.09 2.81 27 7.68 5.49 4.60 4.11 3.78 3.56 3.26 3.06 2.78 28 7.64 5.45 4.57 4.07 3.75 3.53 3.23 3.03 2.75 29 7.60 5.42 4.54 4.04 3.73 3.50 3.20 3.00 2.73 30 7.56 5.39 4.51 4.02 3.70 3.47 3.17 2.98 2.70 40 7.31 5.18 4.31 3.83 3.51 3.29 2.99 2.80 2.52 50 7.17 5.06 4.20 3.72 3.4
27、1 3.19 2.89 2.70 2.42 60 7.08 4.98 4.13 3.65 3.34 3.12 2.82 2.63 2.35 70 7.01 4.92 4.07 3.60 3.29 3.07 2.78 2.59 2.31 80 6.96 4.88 4.04 3.56 3.26 3.04 2.74 2.55 2.27 90 6.93 4.85 4.01 3.53 3.23 3.01 2.72 2.52 2.42 100 6.90 4.82 3.98 3.51 3.21 2.99 2.69 2.50 2.22 125 6.84 4.78 3.94 3.47 3.17 2.95 2.66 2.47 2.19 150 6.81 4.75 3.91 3.45 3.14 2.92 2.63 2.44 2.16 200 6.76 4.71 3.88 3.41 3.11 2.89 2.60 2.41 2.13 6.63 4.61 3.78 3.32 3.02 2.80 2.51 2.23 2.04