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附表1x2值表n P 0.995 0.990 0.975 0.950 0.900 0.750 0.500 0.250 0.100 0.050 0.025 0.010 0.005 1 0.02 0.10 0.45 1.32 2.71 3.84 5.02 6.63 7.88 2 0.01 0.02 0.02 0.10 0.21 0.58 1.39 2.77 4.61 5.99 7.38 9.21 10.60 3 0.07 0.11 0.22 0.35 0.58 1.21 2.37 4.11 6.25 7.81 9.35 11.34 12.84 4 0.21 0.30 0.48 0.71 1.06 1.92 3.36 5.39 7.78 9.49 11.14 13.28 14.86 5 0.41 0.55 0.83 1.15 1.61 2.67 4.35 6.63 9.24 11.07 12.83 15.09 16.75 6 0.68 0.87 1.24 1.64 2.20 3.45 5.35 7.84 10.64 12.59 14.45 16.81 18.55 7 0.99 1.24 1.69 2.17 2.83 4.25 6.35 9.04 12.02 14.07 16.01 18.48 20.28 8 1.34 1.65 2.18 2.73 3.40 5.07 7.34 10.22 13.36 15.51 17.53 20.09 21.96 9 1.73 2.09 2.70 3.33 4.17 5.90 8.34 11.39 14.68 16.92 19.02 21.67 23.59 10 2.16 2.56 3.25 3.94 4.87 6.74 9.34 12.55 15.99 18.31 20.48 23.21 25.19 11 2.60 3.05 3.82 4.57 5.58 7.58 10.34 13.70 17.28 19.68 21.92 24.72 26.76 12 3.07 3.57 4.40 5.23 6.30 8.44 11.34 14.85 18.55 21.03 23.34 26.22 28.30 13 3.57 4.11 5.01 5.89 7.04 9.30 12.34 15.98 19.81 22.36 24.74 27.69 29.82 14 4.07 4.66 5.63 6.57 7.79 10.17 13.34 17.12 21.06 23.68 26.12 29.14 31.32 15 4.60 5.23 6.27 7.26 8.55 11.04 14.34 18.25 22.31 25.00 27.49 30.58 32.80 16 5.14 5.81 6.91 7.96 9.31 11.91 15.34 19.37 23.54 26.30 28.85 32.00 34.27 17 5.70 6.41 7.56 8.67 10.09 12.79 16.34 20.49 24.77 27.59 30.19 33.41 35.72 18 6.26 7.01 8.23 9.39 10.86 13.68 17.34 21.60 25.99 28.87 31.53 34.81 37.16 19 6.84 7.63 8.91 10.12 11.65 14.56 18.34 22.72 27.20 30.14 32.85 36.19 38.58 20 7.43 8.26 9.59 10.85 12.44 15.45 19.34 23.83 28.41 31.41 34.17 37.57 40.00 21 8.03 8.90 10.28 11.59 13.24 16.34 20.34 24.93 29.62 32.67 35.48 38.93 41.40 22 8.64 9.54 10.98 12.34 14.04 17.24 21.34 26.04 30.81 33.92 36.78 40.29 42.80 23 9.26 10.20 11.69 13.09 14.85 18.14 22.34 27.14 32.01 35.17 38.08 41.64 44.18 24 9.89 10.86 12.40 13.85 15.66 19.04 23.34 28.24 33.20 36.42 39.36 42.98 45.56 25 10.52 11.52 13.12 14.61 16.47 19.94 24.34 29.34 34.38 37.65 40.65 44.31 46.93 26 11.16 12.20 13.84 15.38 17.29 20.84 25.34 30.43 35.56 38.89 41.92 45.64 48.29 27 11.81 12.88 14.57 16.15 18.11 21.75 26.34 31.53 36.74 40.11 43.19 46.96 49.64 28 12.46 13.56 15.31 16.93 18.94 22.66 27.34 32.62 37.92 41.34 44.46 48.28 50.99 29 13.12 14.26 16.05 17.71 19.77 23.57 28.34 33.71 39.09 42.56 45.72 49.59 52.34 30 13.79 14.95 16.79 18.49 20.60 24.48 29.34 34.80 40.26 43.77 46.98 50.89 53.67 40 20.71 22.16 24.43 26.51 29.05 33.66 39.34 45.62 51.80 55.76 59.34 63.69 66.77 50 27.99 29.71 32.36 34.76 37.69 42.94 49.33 56.33 63.17 67.50 71.42 76.15 79.49 60 35.53 37.48 40.48 43.19 46.46 52.29 59.33 66.98 74.40 79.08 83.30 88.38 91.95 70 43.28 45.44 48.76 51.74 55.33 61.70 69.33 77.58 85.53 90.53 95.02 100.42 104.22 80 51.17 53.54 57.15 60.39 64.28 71.14 79.33 88.13 96.58 101.88 106.63 112.33 116.32 90 59.20 61.75 65.65 69.13 73.29 80.62 89.33 98.64 107.56 113.14 118.14 124.12 128.30 100 67.33 70.06 74.22 77.93 82.36 90.13 99.33 109.14 118.50 124.34 129.56 135.81 140.17 注:自由度的符号本书统一用,但若沿用n也不为错。附表2 标准正态曲线下的面积表u 0 1 2 3 4 5 6 7 8 9 0.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0276 .0319 .0359 0.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0754 0.2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141 0.3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 0.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 0.5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 0.6 .2258 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2518 .2549 0.7 .2580 .2612 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 0.8 .2881 .2910 .2939 .2967 .2996 .3023 .3051 .3078 .3106 .3133 0.9 .3159 .3186 .3212 .3238 .3264 .3289 .3316 .3340 .3365 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621 1.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830 1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .4015 1.3 .4032 .4049 .4066 .4082 .4099 .4115 .4131 .4147 .4162 .4177 1.4 .4192 .4207 .4222 .4236 .4251 .4265 .4270 .4292 .4306 .4319 1.5 .4332 .4345 .4357 .4370 .4382 .4394 .4406 .4418 .4429 .4441 1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .4545 1.7 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 1.8 .4641 .4649 .4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706 1.9 .4713 .4719 .4726 .4732 .4733 .4744 .4750 .4756 .4761 .4767 2.0 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4812 .4817 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .4857 2.2 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .4890 2.3 .4893 .4896 .4898 .4901 .4904 .4906 .4909 .4911 .4913 .4916 2.4 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 .4934 .4936 2.5 .4938 .4940 .4941 .4943 .4945 .4946 .4948 .4949 .4951 .4952 2.6 .4953 .4955 .4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964 2.7 .4965 .4966 .4967 .4968 .4960 .4970 .4971 .4972 .4973 .4974 2.8 .4974 .4975 .4976 .4977 .4977 .4978 .4979 .4979 .4980 .4981 2.9 .4981 .4982 .4982 .4983 .4984 .4984 .4985 .4985 .4986 .4986 3.0 .4987 .4987 .4987 .4988 .4998 .4989 .4989 .4989 .4990 .4990 3.1 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 .4993 .4993 3.2 .4993 .4993 .4994 .4994 .4994 .4994 .4994 .4995 .4995 .4995 3.3 .4995 .4995 .4995 .4996 .4996 .4996 .4996 .4996 .4996 .4997 3.4 .4997 .4997 .4997 .4997 .4997 .4997 .4907 .4997 .4997 .4998 3.5 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 3.6 .4998 .4998 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.7 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.8 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.9 .5000 .5000 .5000 .5000 .5000 .5000 .5000 .5000 .5000 .5000 附表3t值表n P(2):P(1): 0.500.25 0.200.10 0.100.05 0.050.025 0.020.01 0.010.005 0.0050.0025 0.0020.001 0.0010.0005 1 1.000 3.078 6.314 12.706 31.821 63.657 127.321 318.309 636.619 2 0.816 1.886 2.920 4.303 6.965 9.925 14.089 22.327 31.599 3 0.765 1.638 2.353 3.182 4.541 5.841 7.453 10.215 12.924 4 0.741 1.533 2.132 2.776 3.747 4.604 5.598 7.173 8.610 5 0.727 1.476 2.015 2.571 3.365 4.032 4.773 5.893 6.869 6 0.718 1.440 1.943 2.447 3.143 3.707 4.317 5.208 5.959 7 0.711 1.415 1.895 2.365 2.998 3.499 4.029 4.785 5.408 8 0.706 1.397 1.860 2.306 2.896 3.355 3.833 4.501 5.041 9 0.703 1.383 1.833 2.262 2.821 3.250 3.690 4.297 4.781 10 0.700 1.372 1.812 2.228 2.764 3.169 3.581 4.144 4.587 11 0.697 1.363 1.796 2.201 2.718 3.106 3.497 4.025 4.437 12 0.695 1.356 1.782 2.179 2.681 3.055 3.428 3.930 4.318 13 0.694 1.350 1.771 2.160 2.650 3.012 3.372 3.852 4.221 14 0.692 1.345 1.761 2.145 2.624 2.977 3.326 3.787 4.140 15 0.691 1.341 1.753 2.131 2.602 2.947 3.286 3.733 4.073 16 0.690 1.337 1.746 2.120 2.583 2.921 3.252 3.686 4.015 17 0.689 1.333 1.740 2.110 2.567 2.898 3.222 3.646 3.965 18 0.688 1.330 1.734 2.101 2.552 2.878 3.197 3.610 3.922 19 0.688 1.328 1.729 2.093 2.539 2.861 3.174 3.579 3.883 20 0.687 1.325 1.725 2.086 2.528 2.845 3.153 3.552 3.850 21 0.686 1.323 1.721 2.080 2.518 2.831 3.135 3.527 3.819 22 0.686 1.321 1.717 2.074 2.508 2.819 3.119 3.505 3.792 23 0.685 1.319 1.714 2.069 2.500 2.807 3.104 3.485 3.768 24 0.685 1.318 1.711 2.064 2.492 2.797 3.091 3.467 3.745 25 0.684 1.316 1.708 2.060 2.485 2.787 3.078 3.450 3.725 26 0.684 1.315 1.706 2.056 2.479 2.779 3.067 3.435 3.707 27 0.684 1.314 1.703 2.052 2.473 2.771 3.057 3.421 3.690 28 0.683 1.313 1.701 2.048 2.467 2.763 3.047 3.408 3.674 29 0.683 1.311 1.699 2.045 2.462 2.756 3.038 3.396 3.659 30 0.683 1.310 1.697 2.042 2.457 2.750 3.030 3.385 3.646 31 0.682 1.309 1.696 2.040 2.453 2.744 3.022 3.375 3.633 32 0.682 1.309 1.694 2.037 2.449 2.738 3.015 3.365 3.622 33 0.682 1.308 1.692 2.035 2.445 2.733 3.008 3.356 3.611 34 0.682 1.307 1.091 2.032 2.441 2.728 3.002 3.348 3.601 35 0.682 1.306 1.690 2.030 2.438 2.724 2.996 3.340 3.591 36 0.681 1.306 1.688 2.028 2.434 2.719 2.990 3.333 3.582 37 0.681 1.305 1.687 2.026 2.431 2.715 2.985 3.326 3.574 38 0.681 1.304 1.686 2.024 2.429 2.712 2.980 3.319 3.566 39 0.681 1.304 1.685 2.023 2.426 2.708 2.976 3.313 3.558 40 0.681 1.303 1.684 2.021 2.423 2.704 2.971 3.307 3.551 50 0.679 1.299 1.676 2.009 2.403 2.678 2.937 3.261 3.496 60 0.679 1.296 1.671 2.000 2.390 2.660 2.915 3.232 3.460 70 0.678 1.294 1.667 1.994 2.381 2.648 2.899 3.211 3.436 80 0.678 1.292 1.664 1.990 2.374 2.639 2.887 3.195 3.416 90 0.677 1.291 1.662 1.987 2.368 2.632 2.878 3.183 3.402 100 0.677 1.290 1.660 1.984 2.364 2.626 2.871 3.174 3.390 200 0.676 1.286 1.653 1.972 2.345 2.601 2.839 3.131 3.340 500 0.675 1.283 1.648 1.965 2.334 2.586 2.820 3.107 3.310 1000 0.675 1.282 1.646 1.962 2.330 2.581 2.813 3.098 3.300 0.6745 1.2816 1.6449 1.9600 2.3263 2.5758 2.8070 3.0902 3.2905 注:表上右上角图中的阴影部分表示概率P,P(2)是双侧的概率,P(1)是单侧的概率,n是自由度。附表4百分比的95%与99%可信区间观察数f 95%可信区间 99%可信区间 样本大小,n 样本大小,n 10 15 20 30 10 15 20 30 0 0 31 0 22 0 17 0 20 0 41 0 30 0 23 0 16 1 0 45 0 32 0 25 0 17 0 54 0 40 0 32 0 22 2 3 56 2 40 1 31 1 22 1 65 1 49 1 39 0 28 3 7 65 4 48 3 38 2 27 4 24 2 56 2 45 1 32 4 12 74 8 55 6 44 4 31 8 81 5 63 4 51 3 36 5 19 81 12 62 9 49 6 35 13 87 8 69 6 56 4 40 6 26 88 16 68 12 54 8 39 19 92 12 74 8 61 6 44 7 35 93 21 73 15 59 10 43 26 96 16 79 11 66 8 48 8 44 97 27 79 19 64 12 46 35 99 21 84 15 70 10 52 9 55 100 32 84 23 68 15 50 46 100 26 88 18 74 12 55 10 69 100 38 88 27 73 17 53 59 100 31 92 22 78 14 58 11 45 92 32 77 20 56 37 95 26 82 16 62 12 52 96 36 81 23 60 44 98 30 85 18 65 13 60 98 41 85 25 63 51 99 34 89 21 68 14 68 100 46 88 28 66 60 100 39 92 24 71 15 78 100 51 91 31 69 70 100 44 94 26 74 16 56 94 34 72 49 96 29 76 17 62 97 37 75 55 98 32 79 18 69 99 40 77 61 99 35 82 19 75 100 44 80 68 100 38 84 20 83 100 47 83 77 100 42 86 21 50 85 45 88 22 54 88 48 90 23 57 90 52 92 24 61 92 56 94 25 65 94 60 96 26 69 96 64 97 27 73 98 68 99 28 78 99 72 100 29 83 100 78 100 30 88 100 84 100 注:表中观察数f为调查例中查n到实验发生某现象的个数。附表5W检验ain系数表in234567891010.70710.70710.68720.66460.64310.62330.60520.58880.573920.00000.16770.24130.28060.30310.31640.32440.329130.00000.08750.14010.17430.19760.214140.00000.05610.09470.122450.00000.0399i n1112131415161718192010.56010.54750.53590.52510.51500.50560.49680.48860.48080.473420.33150.33250.33250.33180.33060.32900.32730.32530.32320.321130.22600.23470.24120.24600.24950.25210.25400.25530.25610.256540.14290.15860.17070.18020.18780.19390.19880.20270.20590.208550.06950.09220.10990.12400.13530.14470.15240.15870.16410.168660.00000.03030.05390.07270.08800.10050.11090.11970.12710.133470.00000.02400.04330.05930.07250.08370.09320.101380.00000.01960.03590.04960.06120.071190.00000.01630.03030.0422100.00000.0140in2122232425262728293010.46430.45900.45420.44930.44500.44070.43660.43280.42910.425420.31580.31560.31260.30980.30690.30430.30180.29920.29680.294430.25780.25710.25630.25540.25430.25330.25220.25100.24990.248740.21190.21310.21390.21450.21480.21510.21520.21510.21500.214850.17360.17640.17870.18070.18220.18360.18480.18570.18640.187060.13990.14430.14800.15120.15390.15630.15840.16010.16160.163070.10920.11500.12010.12450.12830.13160.13460.13720.13950.141580.08040.08780.09410.09970.10460.10890.11280.11620.11920.121990.05300.06180.06960.07640.08230.08760.09230.09650.10020.1036100.02630.03680.04590.05390.06100.06720.07280.07780.08220.0862110.00000.01220.02280.03210.04030.04760.05400.05980.06500.0697120.00000.01070.02000.02840.03580.04240.04830.0537130.00000.00940.01780.02530.03200.0381140.00000.00840.01590.0227150.00000.0076in3132333435363738394010.42200.41880.41560.41270.40960.40680.40400.40150.39890.396420.29210.28290.28760.28540.28340.28130.27940.27740.27550.273730.24750.24630.24510.24390.24270.24150.24030.23910.23800.236840.21450.21410.21370.21320.21270.21210.21160.21100.21040.209850.18740.18780.18800.18820.18830.18830.18830.18810.18800.187860.16410.16510.16600.16670.16730.16780.16830.16860.16890.169170.14330.14490.14630.14750.14870.14960.15050.15130.15200.152680.12430.12650.12840.13010.13170.13310.13440.13560.13660.137690.10660.10930.11180.11400.11600.11790.11960.12110.12250.1237100.08990.09310.09610.09880.10130.10360.10560.10750.10920.1108110.07390.07770.08120.08440.08730.09000.09240.09470.09670.0986120.05850.06290.06690.07060.07390.07700.07980.08240.08480.0870130.04350.04850.05300.05720.06100.06450.06770.07060.07330.0759140.02890.03440.03950.04410.04840.05230.05590.05920.06220.0651150.01440.02060.02620.03140.03610.04040.04440.04810.05150.0546160.00000.00680.01310.01870.02390.02870.03310.03720.04090.0444170.00000.00620.01190.01720.02200.02640.03050.0343180.00000.00570.01100.01580.02030.0244190.00000.00530.01010.0146200.00000.0049i n4142
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