1、附表 1 符号检验界域表双边 5% 2% 1% 双边 5% 2% 1%n=56789101112131415161718192021222324252627282930313233343536370 51 51 61 72 72 82 93 93 103 114 114 125 125 135 146 146 156 167 167 178 178 188 199 199 2010 2010 2110 2211 2211 2312 2312 2413 240 50 61 61 71 81 92 92 102 113 113 123 134 134 145 145 155 166 166 176
2、 187 187 198 198 208 219 219 229 2310 2310 2411 2411 2511 260 50 60 71 71 81 91 102 102 112 123 123 134 134 144 154 165 165 175 186 186 197 197 207 218 218 228 239 239 2410 2410 2510 2610 26N=38394041424344454647484950515253545556575859606162636465666768697013 2513 2614 2614 2715 2715 2816 2816 2916
3、 3017 3017 3118 3118 3219 3219 3319 3420 3420 3521 3521 3622 3622 3722 3823 3823 3924 3924 4025 4025 4126 4126 4226 4327 4312 2612 2713 2713 2814 2814 2914 3015 3015 3116 3116 3216 3317 3317 3418 3418 3519 3519 3619 3720 3720 3821 3821 3921 4022 4022 4123 4123 4224 4224 4324 4425 4425 4511 2712 2712
4、 2812 2913 2913 3014 3014 3114 3215 3215 3316 3316 3416 3517 3517 3618 3618 3718 3819 3819 3920 3920 4021 4021 4121 4222 4222 4323 4323 4423 4524 4524 46单边 2.5% 1% 0.5% 单边 2.5% 1% 0.5%附表 2 二项分布表 xk knkpnXP01)!()(Pn k0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.502 0 0.9025 0.8100 0.7225 0.6400 0.5
5、625 0.4900 0.4225 0.3600 0.3625 0.25001 0.9975 0.9900 0.9775 0.9600 0.9375 0.9100 0.8775 0.8400 0.7975 0.75002 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.00003 0 0.8574 0.7290 0.6141 0.5120 0.4219 0.3430 0.2746 0.2160 0.1664 0.12501 0.9928 0.9720 0.9392 0.8960 0.8438 0.7840 0.7
6、182 0.6480 0.5748 0.50002 0.9999 0.9990 0.9966 0.9920 0.9844 0.9730 0.9571 0.9360 0.9089 0.87503 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.00004 0 0.8145 0.6561 0.5220 0.4096 0.3164 0.2401 0.1785 0.1296 0.0915 0.06251 0.9860 0.9477 0.8905 0.8192 0.7383 0.6517 0.5630 0.4752 0.3
7、910 0.31252 0.9995 0.9963 0.9880 0.9728 0.9492 0.9163 0.8735 0.8208 0.7585 0.68753 1.0000 0.9999 0.9995 0.9984 0.9961 0.9919 0.9850 0.9744 0.9590 0.93754 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.00005 0 0.7738 0.5905 0.4437 0.3277 0.2373 0.1681 0.1160 0.0778 0.0503 0.03121 0.
8、9774 0.9185 0.8352 0.7373 0.6328 0.5282 0.4284 0.3370 0.2562 0.18752 0.9988 0.9914 0.9734 0.9421 0.8965 0.8369 0.7648 0.6826 0.5931 0.50003 1.0000 0.9995 0.9978 0.9933 0.9844 0.9692 0.9460 0.9130 0.8688 0.81254 1.0000 1.0000 0.9999 0.9997 0.9990 0.9976 0.9947 0.9898 0.9815 0.96885 1.0000 1.0000 1.00
9、00 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.00006 0 0.7351 0.5314 0.3771 0.2621 0.1780 0.1176 0.0754 0.0476 0.0227 0.01561 0.9672 0.8857 0.7765 0.6553 0.5339 0.4202 0.3191 0.1222 0.1636 0.10942 0.9978 0.9842 0.9527 0.9011 0.8306 07443 0.6471 0.5443 0.4415 0.34383 0.9999 0.9982 0.9941 0.9830 0.962
10、4 0.9295 0.8826 0.8208 0.7447 0.65624 1.0000 0.9999 0.9996 0.9984 0.9954 0.9891 0.9777 0.9590 0.9308 0.89065 1.0000 1.0000 1.0000 0.9999 0.9998 0.9993 0.9982 0.9959 0.9917 0.98446 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.00007 0 0.6983 0.4783 0.3206 0.2097 0.1335 0.0824 0.049
11、0 0.0280 0.0152 0.00781 0.9556 0.8503 0.7166 0.5767 0.4449 0.3294 0.2338 0.1586 0.1024 0.06252 0.9962 0.9743 0.9262 0.8520 0.7564 0.6471 0.5323 0.4199 0.3164 0.22663 0.998 0.9973 0.9879 0.9967 0.9294 0.8740 0.8002 0.7102 0.6083 0.50004 1.0000 0.9998 0.9988 0.9953 0.9871 0.9712 0.9444 0.9037 0.8471 0
12、.77345 1.0000 1.0000 0.9999 0.9996 0.9987 0.9962 0.9910 0.9812 0.9643 0.93756 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9994 0.9984 0.9963 0.99227 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.00008 0 0.6634 0.4305 0.2725 0.1678 0.1001 0.0576 0.0319 0.0168 0.0084 0.00391 0.9428
13、0.8131 0.6572 0.5033 0.3671 0.2553 0.1691 0.1064 0.0632 0.03522 0.9942 0.9619 0.8948 0.7969 0.6785 0.5518 0.4278 0.3154 0.2201 0.14453 0.9996 0.9950 0.9786 0.9437 0.8862 0.8059 0.7064 0.5941 0.4770 0.36334 1.0000 0.9996 0.9971 0.9869 0.9727 0.9420 0.8939 0.8263 0.7396 0.63675 1.0000 1.0000 0.9998 0.
14、9988 0.9958 0.9887 0.9747 0.9502 0.9115 0.85556 1.0000 1.0000 1.0000 0.9999 0.9996 0.9987 0.9964 0.9915 0.9819 0.96487 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9993 0.9983 0.99618 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.00009 0 0.6302 0.3874 0.2316 0.1342 0.0751 0.
15、0404 0.0207 0.0101 0.0046 0.00201 0.9288 0.7748 0.5995 0.4362 0.3003 0.1960 0.1211 0.0705 0.0385 0.0195Pn k0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.509 2 0.9916 0.9470 0.8591 0.7382 0.6007 0.4628 0.3373 0.2318 0.1495 0.08983 0.9994 0.9917 0.9661 0.9144 0.8343 0.7297 0.6089 0.4826 0.3614 0.2593
16、4 1.0000 0.9991 0.9944 0.9804 0.9511 0.9012 0.8283 0.7334 0.6214 0.50005 1.0000 0.9999 0.9994 0.9969 0.9900 0.9947 0.9467 0.9006 0.8342 0.74616 1.0000 1.0000 1.0000 0.9997 0.9987 0.9957 0.9888 0.9750 0.9502 0.91027 1.0000 1.0000 1.0000 1.0000 0.9999 0.9996 0.9986 0.9962 0.9909 0.98058 1.0000 1.0000
17、1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9992 0.99809 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.000010 0 0.5987 0.3487 0.1969 0.1074 0.0563 0.0282 0.0135 0.0060 0.0025 0.00101 0.9139 0.7361 0.5443 0.3758 0.2440 0.1493 0.0860 0.0464 0.0233 0.01072 0.9885 0.9298 0.8202 0.6778
18、 0.5256 0.3828 0.2616 0.1673 0.0996 0.05473 0.9990 0.9872 0.9500 0.8791 0.7759 0.6496 0.5138 0.3823 0.2660 0.17194 0.9999 0.9984 0.9901 0.9672 0.9219 0.8497 0.7515 0.6331 0.5044 0.37705 1.0000 0.9999 0.9986 0.9936 0.9803 0.9527 0.9051 0.8338 0.7384 0.62306 1.0000 1.0000 0.9999 0.9991 0.9965 0.9894 0
19、.9740 0.9452 0.8980 0.82817 1.0000 1.0000 1.0000 0.9999 0.9996 0.9984 0.9952 0.9877 0.9726 0.94538 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9995 0.9983 0.9955 0.98939 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.999010 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.
20、0000 1.000011 0 0.5688 0.3138 0.1673 0.0859 0.0422 0.0198 0.0088 0.0036 0.0014 0.00051 0.8981 0.6974 0.4922 0.3221 0.1971 0.1130 0.0606 0.0302 0.0139 0.00592 0.9848 0.9104 0.7788 0.6174 0.4552 0.3127 0.2001 0.1189 0.0652 0.03273 0.9984 0.9815 0.9306 0.8389 0.7133 0.5696 0.4256 0.2963 0.1911 0.11334
21、0.9999 0.9972 0.9841 0.9496 0.8854 0.7897 0.6683 0.5328 0.3971 0.27445 1.0000 0.9997 0.9973 0.9883 0.9657 0.9218 0.8513 0.7535 0.6331 0.50006 1.0000 1.0000 0.9997 0.9980 0.9924 0.9784 0.9499 0.9006 0.8262 0.72567 1.0000 1.0000 1.0000 0.9998 0.9988 0.9957 0.9878 0.9707 0.9390 0.88768 1.0000 1.0000 1.
22、0000 1.0000 0.9999 0.9994 0.9980 0.9941 0.9852 0.96739 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9998 0.9993 0.9978 0.994110 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9998 0.999511 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.000012 0 0.544 0.2824 0.1422 0.0687
23、0.0317 0.0138 0.0057 0.0022 0.0008 0.00021 0.8816 0.6590 0.4435 0.2749 0.1584 0.0850 0.0424 0.0196 0.0083 0.00322 0.9804 0.8891 0.7358 0.5583 0.3907 0.2528 0.1513 0.0834 0.0421 0.01933 0.9978 0.9744 0.9078 0.7946 0.6488 0.4925 0.3467 0.2253 0.1345 0.07304 0.9998 0.9957 0.9761 0.9274 0.8424 0.7237 0.
24、583 0.4382 0.3044 0.19385 1.0000 0.9995 0.9954 0.9806 0.9456 0.8822 0.7873 0.6653 0.5269 0.38726 1.0000 0.9999 0.9993 0.9961 0.9857 0.9614 0.9154 0.8418 0.7393 0.61287 1.0000 1.0000 0.9999 0.9994 .9972 0.9905 0.9745 0.9427 0.8883 0.80628 1.0000 1.0000 1.0000 0.9999 0.9996 0.9983 0.9944 0.9847 0.9644
25、 0.92709 1.0000 1.0000 1.0000 1.0000 1.0000 0.9998 0.9992 0.9972 0.9921 0.980710 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9989 0.996811 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.999812 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.000013 0 0
26、.5133 0.2542 0.1209 0.0550 0.0238 0.0097 0.0037 0.0013 0.0004 0.00011 0.8648 0.6213 0.3983 0.2336 0.1267 0.0637 0.0296 0.0126 0.0094 0.00172 0.9755 0.8661 0.6920 0.5017 0.3326 0.2025 0.1132 0.0579 0.0269 0.01223 0.9969 0.9658 0.8820 0.7473 0.5843 0.4206 0.2783 0.1686 0.0929 0.04614 0.9997 0.9935 0.9
27、658 0.9009 0.7940 0.6543 0.5005 0.3530 0.2279 0.13345 1.0000 0.9991 0.9924 0.9700 0.9198 0.8346 0.7159 0.5744 0.4268 0.29051.0000 0.9999 0.9987 0.9930 0.9757 0.9376 0.8705 0.7712 0.6437 0.50001.0000 1.0000 0.9998 0.9988 0.9944 0.9818 0.9238 0.9023 0.8212 0.8212Pn k0.05 0.10 0.15 0.20 0.25 0.30 0.35
28、0.40 0.45 0.5013 8 1.0000 1.0000 1.0000 0.9998 0.9990 0.9960 0.9874 0.9679 0.9302 0.86669 1.0000 1.0000 1.0000 1.0000 0.9999 0.9993 0.9975 0.9922 0.9797 0.953910 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9987 0.9959 0.988811 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9995 0.9
29、98312 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.999913 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.000014 0 0.4877 0.2288 0.1028 0.0440 0.0178 0.0068 0.0024 0.0008 0.0002 0.00011 0.8470 0.5846 0.3567 0.1917 0.1010 0.0475 0.0205 0.0081 0.0029 0.00092 0.9699
30、 0.8416 0.6479 0.4481 0.2811 0.1608 0.0839 0.0398 0.0170 0.00653 0.9968 0.9559 0.8535 0.6982 0.5213 0.3552 0.2205 0.1243 0.0632 0.02874 0.9996 0.9908 0.953 0.8702 0.7415 0.5842 0.4227 0.2493 0.1672 0.08985 1.0000 0.9985 0.9885 0.9561 0.8883 0.7805 0.6405 0.4859 0.3373 0.21206 1.0000 0.9998 0.9978 0.
31、9884 0.9617 0.9067 0.8164 0.6925 0.5461 0.39537 1.0000 1.0000 0.9997 0.9976 0.9897 0.9685 0.9247 0.8499 0.7414 0.60478 1.0000 1.0000 1.0000 0.9996 0.9978 0.9917 0.9757 0.9417 0.8811 0.78809 1.0000 1.0000 1.0000 1.0000 0.9997 0.9983 0.9940 0.9825 0.9547 0.910210 1.0000 1.0000 1.0000 1.0000 1.0000 0.9
32、998 0.9989 0.9961 0.9886 0.971311 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9994 0.9978 0.993512 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.999113 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.999914 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1
33、.0000 1.0000 1.000015 0 0.4633 0.2059 0.0874 0.0352 0.0134 0.0047 0.0016 0.0005 0.0001 0.00001 0.8290 0.5490 0.3186 0.1671 0.0802 0.0353 0.0142 0.0052 0.0012 0.00012 0.9638 0.8159 0.6042 0.3980 0.2361 0.1268 0.0617 0.0271 0.0107 0.00373 0.9945 0.9444 0.8227 0.6482 0.4613 0.2969 0.1727 0.0905 0.0424
34、0.01764 0.9994 0.9873 0.9383 0.8358 0.6865 0.5155 0.3519 0.2173 0.1204 0.05925 0.9999 0.9978 0.9832 0.9389 0.8516 0.7216 0.5643 0.4032 0.2608 0.15096 1.0000 0.9997 0.9964 0.9819 0.9434 0.8689 0.7548 0.6098 0.4522 0.30367 1.0000 1.0000 0.9994 0.9958 0.9827 0.9500 0.8868 0.7869 0.6535 0.50008 1.0000 1
35、.0000 0.9999 0.9992 0.9958 0.9848 0.9578 0.9050 0.8182 0.69649 1.0000 1.0000 1.0000 0.9999 0.9992 0.9963 0.9876 0.9662 0.9231 0.849110 1.0000 1.0000 1.0000 1.0000 0.9999 0.9993 0.9972 0.9907 0.9745 0.940811 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9995 0.9981 0.9937 0.982412 1.0000 1.0000 1.0000
36、1.0000 1.0000 1.0000 0.9999 0.9997 0.9989 0.996313 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.999514 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.000015 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000附表 3 标准正态分布表)(1)(22ZzdweWz 0.00 0.01
37、 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.090.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.53590.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.57530.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.61410.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.
38、6368 0.6406 0.6443 0.6480 0.65170.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.68790.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.72240.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.742 0.7454 0.7486 0.7517 0.75490.7 0.7580 0.7611 0.7642 0.7673 0.7703 0.7734 0.77
39、64 0.7794 0.7823 0.78520.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.81330.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.83891.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.86211.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.879
40、0 0.8810 0.88301.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.90151.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9163 0.91771.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.93191.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429
41、 0.94411.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.95451.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.96331.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.97061.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.97672
42、.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.98172.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.98572.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.98902.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.99162.4 0.991
43、8 0.9920 0.9922 0.9925 0.9927 0.929 0.9931 0.9932 0.934 0.99362.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.99522.6 0.953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.99642.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.99742.8 0.974 0.9975 0.9
44、976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.99812.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.99863.0 0.9987 0.9987 0.9987 0.9988 0.988 0.9989 0.9989 0.9989 0.9990 09990Z 1.282 1.645 1.960 2.326 2.5761-(Z) 0.100 0.050 0.025 0.010 0.005附表 4 威尔科克森带符号的秩和检验临界值(T 值)表这里 T 是最大整数,
45、即 P(Tt/n)a 累积的单尾概率N 2a 0.15a 0.0750.100.050.050.0250.040.020.030.0150.020.010.01(双尾)0.005(单尾)456789101112131415161718192021222324252627282930313233343540506070809010001247912161924283339455158657381899810811812813815016017318619921222630248771899513181688210502358101317212530354147536067758391100110
46、119130140151163175187200213286466690960127616382045023581013172125293440465258657381489981071161261371471591701851952644346489071211156019551357912161923283338435056637078869410311212213214315416517718925742563689111921537192802468111418212630354147535966748290991081171271371481591711822494136208721
47、1681509189413579121519232732374349556269768492101110120130140151162173238397600846113614711850013579121519232732374248546168758391100109118128138148159220373567805108614101779附表 5 秩和检验临界值表括号数值表示样本容量(n 1,n2)(2,4)3 11 0.067(2,5)3 13 0.047(2,6)3 15 0.036 4 14 0.071(2,7)3 17 0.0284 16 0.056(2,8)3 19 0.0
48、224 18 0.044(2,9)3 21 0.0184 20 0.036(1,10)4 22 0.035 21 0.061(3,3)6 15 0.05(3,4)6 18 0.0287 17 0.057(3,5)6 21 0.0187 20 0.036(3,6)7 23 0.0248 22 0.048(3,7)8 25 0.0339 24 0.058(3,8)8 28 0.0249 28 0.042(3,9)9 30 0.03211 29 0.05(3,10)9 33 0.02411 31 0.056(4,4)11 25 0.02912 24 0.057(4,5)12 28 0.03213 27 0.056(4,6)12 32 0.01914 30 0.057(4,7)13