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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 92 102 113 113 123 134 134 145 145 155 166 166 176 187 187 198 198 208 219 219 229 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 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 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nkP0.050.100.150.200.250.300.350.400.450.50200.90250.81000.72250.64000.56250.49000.42250.36000.36250.250010.99750.99000.97750.96000.93750.91000.87750.84000.79750.750021.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000300.85740.72900.61410.51200.42190.34300.27460.21600.16640.125010.99280.97200.93920.89600.84380.78400.71820.64800.57480.500020.99990.99900.99660.99200.98440.97300.95710.93600.90890.875031.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000400.81450.65610.52200.40960.31640.24010.17850.12960.09150.062510.98600.94770.89050.81920.73830.65170.56300.47520.39100.312520.99950.99630.98800.97280.94920.91630.87350.82080.75850.687531.00000.99990.99950.99840.99610.99190.98500.97440.95900.937541.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000500.77380.59050.44370.32770.23730.16810.11600.07780.05030.031210.97740.91850.83520.73730.63280.52820.42840.33700.25620.187520.99880.99140.97340.94210.89650.83690.76480.68260.59310.500031.00000.99950.99780.99330.98440.96920.94600.91300.86880.812541.00001.00000.99990.99970.99900.99760.99470.98980.98150.968851.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000600.73510.53140.37710.26210.17800.11760.07540.04760.02270.015610.96720.88570.77650.65530.53390.42020.31910.12220.16360.109420.99780.98420.95270.90110.8306074430.64710.54430.44150.343830.99990.99820.99410.98300.96240.92950.88260.82080.74470.656241.00000.99990.99960.99840.99540.98910.97770.95900.93080.890651.00001.00001.00000.99990.99980.99930.99820.99590.99170.984461.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000700.69830.47830.32060.20970.13350.08240.04900.02800.01520.007810.95560.85030.71660.57670.44490.32940.23380.15860.10240.062520.99620.97430.92620.85200.75640.64710.53230.41990.31640.226630.9980.99730.98790.99670.92940.87400.80020.71020.60830.500041.00000.99980.99880.99530.98710.97120.94440.90370.84710.773451.00001.00000.99990.99960.99870.99620.99100.98120.96430.937561.00001.00001.00001.00000.99990.99980.99940.99840.99630.992271.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000800.66340.43050.27250.16780.10010.05760.03190.01680.00840.003910.94280.81310.65720.50330.36710.25530.16910.10640.06320.035220.99420.96190.89480.79690.67850.55180.42780.31540.22010.144530.99960.99500.97860.94370.88620.80590.70640.59410.47700.363341.00000.99960.99710.98690.97270.94200.89390.82630.73960.636751.00001.00000.99980.99880.99580.98870.97470.95020.91150.855561.00001.00001.00000.99990.99960.99870.99640.99150.98190.964871.00001.00001.00001.00001.00000.99990.99980.99930.99830.996181.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000900.63020.38740.23160.13420.07510.04040.02070.01010.00460.002010.92880.77480.59950.43620.30030.19600.12110.07050.03850.0195nkP0.050.100.150.200.250.300.350.400.450.50920.99160.94700.85910.73820.60070.46280.33730.23180.14950.089830.99940.99170.96610.91440.83430.72970.60890.48260.36140.259341.00000.99910.99440.98040.95110.90120.82830.73340.62140.500051.00000.99990.99940.99690.99000.99470.94670.90060.83420.746161.00001.00001.00000.99970.99870.99570.98880.97500.95020.910271.00001.00001.00001.00000.99990.99960.99860.99620.99090.980581.00001.00001.00001.00001.00001.00000.99990.99970.99920.998091.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001000.59870.34870.19690.10740.05630.02820.01350.00600.00250.001010.91390.73610.54430.37580.24400.14930.08600.04640.02330.010720.98850.92980.82020.67780.52560.38280.26160.16730.09960.054730.99900.98720.95000.87910.77590.64960.51380.38230.26600.171940.99990.99840.99010.96720.92190.84970.75150.63310.50440.377051.00000.99990.99860.99360.98030.95270.90510.83380.73840.623061.00001.00000.99990.99910.99650.98940.97400.94520.89800.828171.00001.00001.00000.99990.99960.99840.99520.98770.97260.945381.00001.00001.00001.00001.00000.99990.99950.99830.99550.989391.00001.00001.00001.00001.00001.00001.00000.99990.99970.9990101.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001100.56880.31380.16730.08590.04220.01980.00880.00360.00140.000510.89810.69740.49220.32210.19710.11300.06060.03020.01390.005920.98480.91040.77880.61740.45520.31270.20010.11890.06520.032730.99840.98150.93060.83890.71330.56960.42560.29630.19110.113340.99990.99720.98410.94960.88540.78970.66830.53280.39710.274451.00000.99970.99730.98830.96570.92180.85130.75350.63310.500061.00001.00000.99970.99800.99240.97840.94990.90060.82620.725671.00001.00001.00000.99980.99880.99570.98780.97070.93900.887681.00001.00001.00001.00000.99990.99940.99800.99410.98520.967391.00001.00001.00001.00001.00001.00000.99980.99930.99780.9941101.00001.00001.00001.00001.00001.00001.00001.00000.99980.9995111.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001200.5440.28240.14220.06870.03170.01380.00570.00220.00080.000210.88160.65900.44350.27490.15840.08500.04240.01960.00830.003220.98040.88910.73580.55830.39070.25280.15130.08340.04210.019330.99780.97440.90780.79460.64880.49250.34670.22530.13450.073040.99980.99570.97610.92740.84240.72370.5830.43820.30440.193851.00000.99950.99540.98060.94560.88220.78730.66530.52690.387261.00000.99990.99930.99610.98570.96140.91540.84180.73930.612871.00001.00000.99990.9994.99720.99050.97450.94270.88830.806281.00001.00001.00000.99990.99960.99830.99440.98470.96440.927091.00001.00001.00001.00001.00000.99980.99920.99720.99210.9807101.00001.00001.00001.00001.00001.00000.99990.99970.99890.9968111.00001.00001.00001.00001.00001.00001.00001.00000.99990.9998121.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001300.51330.25420.12090.05500.02380.00970.00370.00130.00040.000110.86480.62130.39830.23360.12670.06370.02960.01260.00940.001720.97550.86610.69200.50170.33260.20250.11320.05790.02690.012230.99690.96580.88200.74730.58430.42060.27830.16860.09290.046140.99970.99350.96580.90090.79400.65430.50050.35300.22790.133451.00000.99910.99240.97000.91980.83460.71590.57440.42680.29051.00000.99990.99870.99300.97570.93760.87050.77120.64370.50001.00001.00000.99980.99880.99440.98180.92380.90230.82120.8212nkP0.050.100.150.200.250.300.350.400.450.501381.00001.00001.00000.99980.99900.99600.98740.96790.93020.866691.00001.00001.00001.00000.99990.99930.99750.99220.97970.9539101.00001.00001.00001.00001.00000.99990.99970.99870.99590.9888111.00001.00001.00001.00001.00001.00001.00000.99990.99950.9983121.00001.00001.00001.00001.00001.00001.00001.00001.00000.9999131.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001400.48770.22880.10280.04400.01780.00680.00240.00080.00020.000110.84700.58460.35670.19170.10100.04750.02050.00810.00290.000920.96990.84160.64790.44810.28110.16080.08390.03980.01700.006530.99680.95590.85350.69820.52130.35520.22050.12430.06320.028740.99960.99080.9530.87020.74150.58420.42270.24930.16720.089851.00000.99850.98850.95610.88830.78050.64050.48590.33730.212061.00000.99980.99780.98840.96170.90670.81640.69250.54610.395371.00001.00000.99970.99760.98970.96850.92470.84990.74140.604781.00001.00001.00000.99960.99780.99170.97570.94170.88110.788091.00001.00001.00001.00000.99970.99830.99400.98250.95470.9102101.00001.00001.00001.00001.00000.99980.99890.99610.98860.9713111.00001.00001.00001.00001.00001.00000.99990.99940.99780.9935121.00001.00001.00001.00001.00001.00001.00000.99990.99970.9991131.00001.00001.00001.00001.00001.00001.00001.00001.00000.9999141.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001500.46330.20590.08740.03520.01340.00470.00160.00050.00010.000010.82900.54900.31860.16710.08020.03530.01420.00520.00120.000120.96380.81590.60420.39800.23610.12680.06170.02710.01070.003730.99450.94440.82270.64820.46130.29690.17270.09050.04240.017640.99940.98730.93830.83580.68650.51550.35190.21730.12040.059250.99990.99780.98320.93890.85160.72160.56430.40320.26080.150961.00000.99970.99640.98190.94340.86890.75480.60980.45220.303671.00001.00000.99940.99580.98270.95000.88680.78690.65350.500081.00001.00000.99990.99920.99580.98480.95780.90500.81820.696491.00001.00001.00000.99990.99920.99630.98760.96620.92310.8491101.00001.00001.00001.00000.99990.99930.99720.99070.97450.9408111.00001.00001.00001.00001.00000.99990.99950.99810.99370.9824121.00001.00001.00001.00001.00001.00000.99990.99970.99890.9963131.00001.00001.00001.00001.00001.00001.00001.00000.99990.9995141.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000151.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000附表3 标准正态分布表z0.000.010.020.030.040.050.060.070.080.090.00.50000.50400.50800.51200.51600.51990.52390.52790.53190.53590.10.53980.54380.54780.55170.55570.55960.56360.56750.57140.57530.20.57930.58320.58710.59100.59480.59870.60260.60640.61030.61410.30.61790.62170.62550.62930.63310.63680.64060.64430.64800.65170.40.65540.65910.66280.66640.67000.67360.67720.68080.68440.68790.50.69150.69500.69850.70190.70540.70880.71230.71570.71900.72240.60.72570.72910.73240.73570.73890.7420.74540.74860.75170.75490.70.75800.76110.76420.76730.77030.77340.77640.77940.78230.78520.80.78810.79100.79390.79670.79950.80230.80510.80780.81060.81330.90.81590.81860.82120.82380.82640.82890.83150.83400.83650.83891.00.84130.84380.84610.84850.85080.85310.85540.85770.85990.86211.10.86430.86650.86860.87080.87290.87490.87700.87900.88100.88301.20.88490.88690.88880.89070.89250.89440.89620.89800.89970.90151.30.90320.90490.90660.90820.90990.91150.91310.91470.91630.91771.40.91920.92070.92220.92360.92510.92650.92790.92920.93060.93191.50.93320.93450.93570.93700.93820.93940.94060.94180.94290.94411.60.94520.94630.94740.94840.94950.95050.95150.95250.95350.95451.70.95540.95640.95730.95820.95910.95990.96080.96160.96250.96331.80.96410.96490.96560.96640.96710.96780.96860.96930.96990.97061.90.97130.97190.97260.97320.97380.97440.97500.97560.97610.97672.00.97720.97780.97830.97880.97930.97980.98030.98080.98120.98172.10.98210.98260.98300.98340.98380.98420.98460.98500.98540.98572.20.98610.98640.98680.98710.98750.98780.98810.98840.98870.98902.30.98930.98960.98980.99010.99040.99060.99090.99110.99130.99162.40.99180.99200.99220.99250.99270.9290.99310.99320.9340.99362.50.99380.99400.99410.99430.99450.99460.99480.99490.99510.99522.60.9530.99550.99560.99570.99590.99600.99610.99620.99630.99642.70.99650.99660.99670.99680.99690.99700.99710.99720.99730.99742.80.9740.99750.99760.99770.99770.99780.99790.99790.99800.99812.90.99810.99820.99820.99830.99840.99840.99850.99850.99860.99863.00.99870.99870.99870.99880.9880.99890.99890.99890.999009990Z1.2821.6451.9602.3262.5761-(Z)0.1000.0500.0250.0100.005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,即P(Tt/n)a累积的单尾概率N2a 0.15a 0.0750.100.050.050.0250.040.020.030.0150.020.010.01(双尾)0.005(单尾)456789101112131415161718192021222324252627282930313233343540506070809010001247912161924283339455158657381899810811812813815016017318619921222630248771899513181688210502358101317212530354147
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