《医学统计学》综合练习题

某院对城市入托与农村未入托儿童的智能及有关因素作了调查。现将部分资料列出如下。试进行整理，作出入托与未入托儿童智能水平及其影响因素的分析（包括显着性检验）、用图表列出分析结果，并写出文字说明，整理时可参阅所附整理表。

儿童智能发育的调查

例

号性

别年龄

（岁）是否

入托父　亲

文化程度母　亲

文化程度是否

母乳喂养智能

分数 1男3.6是高小高中否90 2男5.2是初中初中否110 3女4.6是初中高中否113 4女2.2是初中高中否97 5女3.4是中专初中否120 6男2.2是中专初中否100 7女4.7是高中中专否117 8女4.7是高中初中否100 9男5.3是高中初中否97 10女5.0是高中高中否103 11男1.8是高中高中否93 12男2.0是高中高中否123 13男3.3是高中初中否83 14男1.8是高中高中否93 15女4.8是大专初中否100 16女4.5是大专高中否100 17男5.1是大专高中否100 18女4.2是大专初中否83 19男2.3是大专初中否107 20女2.5是大专高中否117 21女6.6是大专大专否100 22女3.0是大专中专否117 23男6.3是大学大学否113 24男4.0是大学中专否103 25女4.1是大学大学否93 26男5.0是大学初中否90 27女5.1是大学中专否107 28男1.6是大学大专否113 29男4.3是大学中专否90 30男4.4是大学高中否97 31女4.4是大学大学否110 32男2.2是初中初中是118 33女3.6是初中高中是73 34男4.8是初中初中是113 35女5.4是初中初中是90 36女5.7是初中初中是113 37男6.2是初中y高中是117 38女6.2是初中初中是110 39男3.2是中专大学是100 40男5.4是中专初中是97 41男2.7是中专大专是103 42女3.8是高中高中是110 43女3.1是高中高中是120 44女5.4是高中高中是93 45男5.6是大专大专是90 46男6.6是大专高小是63 47男1.9是大学高中是133 48男3.7是大学高中是93 49女3.1是大学初中是100 50男5.5是大学中专是93 51女3.7是初中高中否80 52女3.1是初中初中否93 53男5.2否初中初中否90 54女4.7否初中初中否107 55女4.7否初中初中否77 56男6.2否初中高小否90 57男6.2否初中初中否100 58男3.3否高中初中否100 59女1.1否高中高中否93 60女2.0否大专大专否100 61男5.4否高小高小是73 62女6.2否高小初中是50 63男5.5否初中初中是63 64女5.6否初中初中是60 65女5.7否初中初中是67 66女2.2否初中高中是90 67男2.3否初中初中是90 68女2.4否初中初中是113 69男2.2否初中初中是90 70男2.7否初中高中是110 71男3.0否初中高中是60 72男1.6否初中高中是110 73男6.7否初中初中是100 74女6.9否初中高小是43 75女3.1否初中初中是60 76男4.1否初中初中是90 77男5.3否初中初中是60 78女3.4否初中高中是73 79女3.6否初中初中是90 80男3.6否初中初中是87 81女4.8否初中初中是93 82女4.0否初中初中是93 83男4.5否初中初中是80 84女4.2否初中高小是77 85男4.3否初中高中是83 86女4.4否初中初中是60 87男4.4否初中初中是73 88女4.6否初中高中是70 89男5.1否初中初中是77 90女5.1否初中高中是63 91男5.1否初中高中是57 92男5.1否初中初中是68 93男5.4否中专高中是93 94女4.8否高中高中是67 95男5.4否高中初中是93 96男3.8否高中初中是63 97男3.2否高中高中是77 98女1.2否高中初中是127 99男1.9否高中初中是110 100女2.2否高中高小是90

附表1

智能分数与父亲文化程度的关系

智能分数初中及以下中专、高中大专、大学合计 90以下　　　　 90—　　　　 110—　　　　 合　计　　　　

附表2

智能分数与是否入托的关系

例　数智　能　分　数 平均数标准差标准误 入托儿童　　　　 未入托儿章　　　　

附表3

智能分数与是否入托、母乳喂养的关系

母乳喂养非母乳喂养 例　数智能分数例　数智能分数 X±SEX±SE 入托儿童　　　　 未入托儿童　　　　 合　计　　　　 　

附表1　x2值表

n＇P0.9950.9900.9750.9500.9000.7500.5000.2500.1000.0500.0250.0100.0051…………0.020.100.451.322.713.845.026.637.8820.010.020.020.100.210.581.392.774.615.997.389.2110.6030.070.110.220.350.581.212.374.116.257.819.3511.3412.8440.210.300.480.711.061.923.365.397.789.4911.1413.2814.8650.410.550.831.151.612.674.356.639.2411.0712.8315.0916.7560.680.871.241.642.203.455.357.8410.6412.5914.4516.8118.5570.991.241.692.172.834.256.359.0412.0214.0716.0118.4820.2881.341.652.182.733.405.077.3410.2213.3615.5117.5320.0921.9691.732.092.703.334.175.908.3411.3914.6816.9219.0221.6723.59102.162.563.253.944.876.749.3412.5515.9918.3120.4823.2125.19112.603.053.824.575.587.5810.3413.7017.2819.6821.9224.7226.76123.073.574.405.236.308.4411.3414.8518.5521.0323.3426.2228.30133.574.115.015.897.049.3012.3415.9819.8122.3624.7427.6929.82144.074.665.636.577.7910.1713.3417.1221.0623.6826.1229.1431.32154.605.236.277.268.5511.0414.3418.2522.3125.0027.4930.5832.80165.145.816.917.969.3111.9115.3419.3723.5426.3028.8532.0034.27175.706.417.568.6710.0912.7916.3420.4924.7727.5930.1933.4135.72186.267.018.239.3910.8613.6817.3421.6025.9928.8731.5334.8137.16196.847.638.9110.1211.6514.5618.3422.7227.2030.1432.8536.1938.58207.438.269.5910.8512.4415.4519.3423.8328.4131.4134.1737.5740.00218.038.9010.2811.5913.2416.3420.3424.9329.6232.6735.4838.9341.40228.649.5410.9812.3414.0417.2421.3426.0430.8133.9236.7840.2942.80239.2610.2011.6913.0914.8518.1422.3427.1432.0135.1738.0841.6444.18249.8910.8612.4013.8515.6619.0423.3428.2433.2036.4239.3642.9845.562510.5211.5213.1214.6116.4719.9424.3429.3434.3837.6540.6544.3146.932611.1612.2013.8415.3817.2920.8425.3430.4335.5638.8941.9245.6448.292711.8112.8814.5716.1518.1121.7526.3431.5336.7440.1143.1946.9649.642812.4613.5615.3116.9318.9422.6627.3432.6237.9241.3444.4648.2850.992913.1214.2616.0517.7119.7723.5728.3433.7139.0942.5645.7249.5952.343013.7914.9516.7918.4920.6024.4829.3434.8040.2643.7746.9850.8953.674020.7122.1624.4326.5129.0533.6639.3445.6251.8055.7659.3463.6966.775027.9929.7132.3634.7637.6942.9449.3356.3363.1767.5071.4276.1579.496035.5337.4840.4843.1946.4652.2959.3366.9874.4079.0883.3088.3891.957043.2845.4448.7651.7455.3361.7069.3377.5885.5390.5395.02100.42104.228051.1753.5457.1560.3964.2871.1479.3388.1396.58101.88106.63112.33116.329059.2061.7565.6569.1373.2980.6289.3398.64107.56113.14118.14124.12128.3010067.3370.0674.2277.9382.3690.1399.33109.14118.50124.34129.56135.81140.17

注：自由度的符号本书统一用ν，但若沿用n’也不为错。

附表2 标准正态曲线下的面积表

u01234567890.0.0000.0040.0080.0120.0160.0199.0239.0276.0319.03590.1.0398.0438.0478.0517.0557.0596.0636.0675.0714.07540.2.0793.0832.0871.0910.0948.0987.1026.1064.1103.11410.3.1179.1217.1255.1293.1331.1368.1406.1443.1480.15170.4.1554.1591.1628.1664.1700.1736.1772.1808.1844.18790.5.1915.1950.1985.2019.2054.2088.2123.2157.2190.22240.6.2258.2291.2324.2357.2389.2422.2454.2486.2518.25490.7.2580.2612.2642.2673.2704.2734.2764.2794.2823.28520.8.2881.2910.2939.2967.2996.3023.3051.3078.3106.31330.9.3159.3186.3212.3238.3264.3289.3316.3340.3365.33891.0.3413.3438.3461.3485.3508.3531.3554.3577.3599.36211.1.3643.3665.3686.3708.3729.3749.3770.3790.3810.38301.2.3849.3869.3888.3907.3925.3944.3962.3980.3997.40151.3.4032.4049.4066.4082.4099.4115.4131.4147.4162.41771.4.4192.4207.4222.4236.4251.4265.4270.4292.4306.43191.5.4332.4345.4357.4370.4382.4394.4406.4418.4429.44411.6.4452.4463.4474.4484.4495.4505.4515.4525.4535.45451.7.4554.4564.4573.4582.4591.4599.4608.4616.4625.46331.8.4641.4649.4656.4664.4671.4678.4686.4693.4699.47061.9.4713.4719.4726.4732.4733.4744.4750.4756.4761.47672.0.4772.4778.4783.4788.4793.4798.4803.4808.4812.48172.1.4821.4826.4830.4834.4838.4842.4846.4850.4854.48572.2.4861.4864.4868.4871.4875.4878.4881.4884.4887.48902.3.4893.4896.4898.4901.4904.4906.4909.4911.4913.49162.4.4918.4920.4922.4925.4927.4929.4931.4932.4934.49362.5.4938.4940.4941.4943.4945.4946.4948.4949.4951.49522.6.4953.4955.4956.4957.4959.4960.4961.4962.4963.49642.7.4965.4966.4967.4968.4960.4970.4971.4972.4973.49742.8.4974.4975.4976.4977.4977.4978.4979.4979.4980.49812.9.4981.4982.4982.4983.4984.4984.4985.4985.4986.49863.0.4987.4987.4987.4988.4998.4989.4989.4989.4990.49903.1.4990.4991.4991.4991.4992.4992.4992.4992.4993.49933.2.4993.4993.4994.4994.4994.4994.4994.4995.4995.49953.3.4995.4995.4995.4996.4996.4996.4996.4996.4996.49973.4.4997.4997.4997.4997.4997.4997.4907.4997.4997.49983.5.4998.4998.4998.4998.4998.4998.4998.4998.4998.49983.6.4998.4998.4999.4999.4999.4999.4999.4999.4999.49993.7.4999.4999.4999.4999.4999.4999.4999.4999.4999.49993.8.4999.4999.4999.4999.4999.4999.4999.4999.4999.49993.9.5000.5000.5000.5000.5000.5000.5000.5000.5000.5000

附表3　t值表

n’P(2):

P(1):0.50

0.250.20

0.100.10

0.050.05

0.0250.02

0.010.01

0.0050.005

0.00250.002

0.0010.001

0.00051　1.0003.0786.31412.70631.82163.657127.321318.309636.6192　0.8161.8862.9204.3036.9659.92514.08922.32731.5993　0.7651.6382.3533.1824.5415.8417.45310.21512.9244　0.7411.5332.1322.7763.7474.6045.5987.1738.6105　0.7271.4762.0152.5713.3654.0324.7735.8936.8696　0.7181.4401.9432.4473.1433.7074.3175.2085.9597　0.7111.4151.8952.3652.9983.4994.0294.7855.4088　0.7061.3971.8602.3062.8963.3553.8334.5015.0419　0.7031.3831.8332.2622.8213.2503.6904.2974.78110　0.7001.3721.8122.2282.7643.1693.5814.1444.58711　0.6971.3631.7962.2012.7183.1063.4974.0254.43712　0.6951.3561.7822.1792.6813.0553.4283.9304.31813　0.6941.3501.7712.1602.6503.0123.3723.8524.22114　0.6921.3451.7612.1452.6242.9773.3263.7874.14015　0.6911.3411.7532.1312.6022.9473.2863.7334.07316　0.6901.3371.7462.1202.5832.9213.2523.6864.01517　0.6891.3331.7402.1102.5672.8983.2223.6463.96518　0.6881.3301.7342.1012.5522.8783.1973.6103.92219　0.6881.3281.7292.0932.5392.8613.1743.5793.88320　0.6871.3251.7252.0862.5282.8453.1533.5523.85021　0.6861.3231.7212.0802.5182.8313.1353.5273.81922　0.6861.3211.7172.0742.5082.8193.1193.5053.79223　0.6851.3191.7142.0692.5002.8073.1043.4853.76824　0.6851.3181.7112.0642.4922.7973.0913.4673.74525　0.6841.3161.7082.0602.4852.7873.0783.4503.72526　0.6841.3151.7062.0562.4792.7793.0673.4353.70727　0.6841.3141.7032.0522.4732.7713.0573.4213.69028　0.6831.3131.7012.0482.4672.7633.0473.4083.67429　0.6831.3111.6992.0452.4622.7563.0383.3963.65930　0.6831.3101.6972.0422.4572.7503.0303.3853.64631　0.6821.3091.6962.0402.4532.7443.0223.3753.63332　0.6821.3091.6942.0372.4492.7383.0153.3653.62233　0.6821.3081.6922.0352.4452.7333.0083.3563.61134　0.6821.3071.0912.0322.4412.7283.0023.3483.60135　0.6821.3061.6902.0302.4382.7242.9963.3403.59136　0.6811.3061.6882.0282.4342.7192.9903.3333.58237　0.6811.3051.6872.0262.4312.7152.9853.3263.57438　0.6811.3041.6862.0242.4292.7122.9803.3193.56639　0.6811.3041.6852.0232.4262.7082.9763.3133.55840　0.6811.3031.6842.0212.4232.7042.9713.3073.55150　0.6791.2991.6762.0092.4032.6782.9373.2613.49660　0.6791.2961.6712.0002.3902.6602.9153.2323.46070　0.6781.2941.6671.9942.3812.6482.8993.2113.43680　0.6781.2921.6641.9902.3742.6392.8873.1953.41690　0.6771.2911.6621.9872.3682.6322.8783.1833.402100　0.6771.2901.6601.9842.3642.6262.8713.1743.390200　0.6761.2861.6531.9722.3452.6012.8393.1313.340500　0.6751.2831.6481.9652.3342.5862.8203.1073.3101000　0.6751.2821.6461.9622.3302.5812.8133.0983.300∝　0.67451.28161.64491.96002.32632.57582.80703.09023.2905　　　　　　　　　　　　

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f95%可信区间99%可信区间样本大小，n样本大小，n10152030101520300031022017020041030023016104503202501705404003202223562401311221651491390283765448338227424256245132412748556444318815634513365198112629496351387869656440626881668125483919921274861644735932173155910432696167911668488449727791964124635992184157010529551003284236815504610026881874125510691003888277317535910031922278145811　　459232772056　　37952682166212　　529636812360　　44983085186513　　609841852563　　51993489216814　　6810046882866　　601003992247115　　7810051913169　　701004494267416　　　　56943472　　　　4996297617　　　　62973775　　　　5598327918　　　　69994077　　　　6199358219　　　　751004480　　　　68100388420　　　　831004783　　　　77100428621　　　　　　5085　　　　　　458822　　　　　　5488　　　　　　489023　　　　　　5790　　　　　　529224　　　　　　6192　　　　　　569425　　　　　　6594　　　　　　609626　　　　　　6996　　　　　　649727　　　　　　7398　　　　　　689928　　　　　　7899　　　　　　7210029　　　　　　83100　　　　　　7810030　　　　　　88100　　　　　　84100

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5　W检验ain系数表

in234567891010.70710.70710.68720.66460.64310.62330.60520.58880.57392－0.00000.16770.24130.28060.30310.31640.32440.32913－－－0.00000.08750.14010.17430.19760.21414－－－－－0.00000.05610.09470.12245－－－－－－－0.00000.0399　

n11121314151617181920　10.56010.54750.53590.52510.51500.50560.49680.48860.48080.473420.33150.33250.33250.33180.33060.32900.32730.32530.32320.321130.22600.23470.24120.24600.24950.25210.25400.25530.25610.256540.14290.15860.17070.18020.18780.19390.19880.20270.20590.208550.06950.09220.10990.12400.13530.14470.15240.15870.16410.168660.00000.03030.05390.07270.08800.10050.11090.11970.12710.13347－－0.00000.02400.04330.05930.07250.08370.09320.10138－－－－0.00000.01960.03590.04960.06120.07119－－－－－－0.00000.01630.03030.042210－－－－－－－－0.00000.0140

i

n2122232425262728293010.46430.45900.45420.44930.44500.44070.43660.43280.42910.425420.31580.31560.31260.30980.30690.30430.30180.29920.29680.294430.25780.25710.25630.25540.25430.25330.25220.25100.24990.248740.21190.21310.21390.21450.21480.21510.21520.21510.21500.214850.17360.17640.17870.18070.18220.18360.18480.18570.18640.187060.13990.14430.14800.15120.15390.15630.15840.16010.16160.163070.10920.11500.12010.12450.12830.13160.13460.13720.13950.141580.08040.08780.09410.09970.10460.10890.11280.11620.11920.121990.05300.06180.06960.07640.08230.08760.09230.09650.10020.1036100.02630.03680.04590.05390.06100.06720.07280.07780.08220.0862110.00000.01220.02280.03210.04030.04760.05400.05980.06500.069712－－0.00000.01070.02000.02840.03580.04240.04830.053713－－－－0.00000.00940.01780.02530.03200.038114－－－－－－0.00000.00840.01590.022715－－－－－－－－0.00000.0076

in3132333435363738394010.42200.41880.41560.41270.40960.40680.40400.40150.39890.396420.29210.28290.28760.28540.28340.28130.27940.27740.27550.273730.24750.24630.24510.24390.24270.24150.24030.23910.23800.236840.21450.21410.21370.21320.21270.21210.21160.21100.21040.209850.18740.18780.18800.18820.18830.18830.18830.18810.18800.187860.16410.16510.16600.16670.16730.16780.16830.16860.16890.169170.14330.14490.14630.14750.14870.14960.15050.15130.15200.152680.12430.12650.12840.13010.13170.13310.13440.13560.13660.137690.10660.10930.11180.11400.11600.11790.11960.12110.12250.1237100.08990.09310.09610.09880.10130.10360.10560.10750.10920.1108110.07390.07770.08120.08440.08730.09000.09240.09470.09670.0986120.05850.06290.06690.07060.07390.07700.07980.08240.08480.0870130.04350.04850.05300.05720.06100.06450.06770.07060.07330.0759140.02890.03440.03950.04410.04840.05230.05590.05920.06220.0651150.01440.02060.02620.03140.03610.04040.04440.04810.05150.0546160.00000.00680.01310.01870.02390.02870.03310.03720.04090.044417－－0.00000.00620.01190.01720.02200.02640.03050.034318－－－－0.00000.00570.01100.01580.02030.024419－－－－－－0.00000.00530.01010.014620－－－－－－－－0.00000.0049　n41424344454647484950　10.39400.39170.38940.38720.38500.38300.38080.37890.37700.375120.27190.27010.26840.26670.26510.26350.26200.26040.25890.257430.23570.23450.23340.23230.23130.23020.22910.22810.22710.226040.20910.20850.20780.20720.20650.20580.20520.20450.20380.203250.18760.18740.18710.18680.18650.18620.18590.18550.18510.184760.16930.16940.16950.16950.16950.16950.16950.16930.16920.169170.15310.15350.15390.15420.15450.15480.15500.15510.15530.155480.13840.13920.13980.14050.14100.14150.14200.14230.14270.143090.12490.12590.12690.12780.12860.12930.13000.13060.13120.1317100.11230.11360.11490.11600.11700.11800.11890.11970.12050.1212110.10040.10200.10350.10490.10620.10730.10850.10950.11050.1113120.08910.09090.09270.09430.09590.09720.09860.09980.10100.1020130.07820.08040.08240.08420.08600.08760.08920.09060.09190.0932140.06770.07010.07240.07450.07650.07830.08010.08170.08320.0846150.05750.06020.06280.06510.06730.06940.07130.07310.07480.0764160.04760.05060.05340.05600.05840.06070.06280.06480.06670.0685170.03790.04110.04420.04710.04970.05220.05460.05680.05880.0608180.02830.03180.03520.03830.04120.04390.04650.04890.05110.0532190.01880.02270.02630.02960.03280.03570.03850.04110.04360.0459200.00940.01360.01750.02110.02450.02770.03070.03350.03610.0386210.00000.00450.00870.01260.01630.01970.02290.02590.02880.031422－－0.00000.00420.00810.01180.01530.01850.02150.024423－－－－0.00000.00390.00760.01110.01430.017424－－－－－－0.00000.00370.00710.010425－－－－－－－－0.00000.0035　　　　　　　　　　　　　　　　　　　

附表6　W检验界值表

n34567891011121314α=10.0%0.7870.7920.8060.8260.8380.8510.8590.8690.8760.8830.8890.895α=5.0%0.7670.7480.7620.7880.8030.8180.8290.8420.8500.8590.8660.874α=1.0%0.7530.6870.6860.7130.7300.7490.7640.7810.7920.8050.8140.825n151617181920212223242526α=10.0%0.9010.9060.9100.9140.9170.9200.9230.9260.9280.9300.9310.933α=5.0%0.8810.8870.8920.8970.9010.9050.9080.9110.9140.9160.9180.920α=1.0%0.8350.8440.8510.8580.8630.8680.8730.8780.8810.8840.8880.891n272829303132333435363738α=1.00%0.9350.9360.9370.9300.9400.9410.9420.9430.9440.9450.9460.947α=5.0%0.9230.9240.9260.9270.9290.9300.9310.9330.9340.9350.9360.938α=1.0%0.8940.8960.8980.9000.9020.9040.9060.9080.9100.9120.9140.916n394041424344454647484950α=10.0%0.9480.9490.9500.9510.9510.9520.9530.9530.9540.9540.9550.955α=5.0%0.9390.9400.9410.9420.9430.9440.9450.9450.9460.9470.9470.947α=1.0%0.9170.9190.9200.9220.9230.9240.9260.9270.9280.9290.9290.930

附表7　F值表（方差齐性检验用）

P＝0.05 （双侧）

rˊrˊ（较大均方的自由度）n2ˊ234567891012152030600017993648999229379489579639699779859931001101010181239.039.239.239.339.339.339.439.439.439.439.439.439.539.539.52310.015.415.114.914.714.614.514.514.414.314.214.214.114.013.93410.69.989.609.369.209.078.988.908.848.758.668.568.468.368.26458.437.767.397.166.986.856.766.686.626.526.436.336.236.126.01567.266.605.235.995.825.695.605.525.465.375.275.175.064.964.85676.545.895.525.285.124.994.904.824.764.674.574.474.364.254.14786.065.425.054.824.654.534.434.364.294.204.104.003.893.783.67895.715.084.724.484.324.204.104.033.963.873.773.673.563.453.339105.464.834.474.244.073.953.853.783.723.623.523.423.313.203.0810115.264.634.274.043.883.763.663.593.533.433.333.233.123.002.8811125.104.474.123.893.733.613.513.443.373.283.183.072.962.852.7212134.964.354.003.773.603.483.393.313.253.153.052.952.842.722.5913144.864.243.893.663.503.383.283.213.153.052.952.842.732.612.4914154.764.153.803.583.413.293.203.123.062.962.862.762.642.522.3915164.694.083.733.503.343.223.123.052.992.892.792.682.572.452.3216174.624.013.663.443.283.163.062.982.922.822.722.622.502.382.2517184.563.953.613.383.223.103.002.932.872.772.672.562.442.322.1918194.513.903.563.333.173.052.962.882.822.722.622.512.392.272.1319204.463.863.513.293.133.012.912.842.772.682.572.462.352.222.0820214.423.823.473.253.092.972.872.802.732.642.532.422.312.182.0421224.383.733.443.213.052.932.842.762.702.602.502.392.272.142.0022234.353.753.413.183.022.902.812.732.672.572.472.362.242.111.9723244.323.723.383.152.992.872.782.702.642.542.442.332.212.081.9324254.293.693.353.132.972.852.752.682.612.512.412.302.182.051.9125264.263.673.333.102.942.822.732.652.592.492.392.282.162.031.8826274.243.653.313.082.922.802.712.632.572.472.362.252.132.001.8527284.223.633.293.062.902.782.692.612.552.452.342.232.111.981.8328294.203.613.273.042.882.762.672.592.532.432.322.212.091.961.8129304.183.593.253.032.872.752.652.572.512.412.312.192.071.941.7930314.163.573.233.012.852.732.632.562.492.402.292.182.061.921.7731324.153.563.222.992.842.712.622.542.482.382.272.162.041.901.7532334.133.543.202.982.822.702.612.532.472.372.262.152.031.891.7333344.123.533.192.972.812.692.592.522.452.352.252.132.011.871.7234354.113.523.182.962.802.682.582.502.442.342.232.122.001.861.7035364.093.503.172.942.782.662.572.492.432.332.222.111.991.851.6936374.083.493.162.932.772.652.562.482.422.322.212.101.971.841.6737384.073.483.142.922.762.642.552.472.412.312.202.091.961.821.6638394.063.473.132.912.752.632.542.462.402.302.192.081.951.811.6539404.053.463.132.902.742.622.532.452.392.292.182.071.941.801.6440424.033.453.112.892.732.612.512.432.372.272.162.051.921.781.6142444.023.433.092.872.712.592.502.422.352.252.152.031.911.771.6044464.003.413.082.862.702.582.482.402.342.242.132.021.891.751.5846483.993.403.072.842.682.562.472.392.332.232.122.011.881.731.5648503.973.393.052.832.672.562.462.382.322.222.111.991.871.721.5450603.923.343.012.792.632.512.412.332.272.172.061.941.811.671.4860803.863.282.952.732.572.452.352.282.212.112.001.881.751.601.40801203.803.232.892.672.512.392.302.222.162.051.941.821.691.531.311202403.753.172.842.622.462.342.242.172.102.001.891.771.631.461.20240∞3.693.122.792.572.412.292.192.112.051.941.831.711.571.391.00∞

附表　8（１）F值表（方差分析用）

P＝0.05

r2r1（较大均方的自由度）r2 123456789101214161820　 11612002162252302342372392412422442452462472481 218.519.019.219.219.319.319.419.419.419.419.419.419.419.419.42 310.19.559.289.129.018.948.898.858.818.798.748.718.698.678.663 47.716.946.596.396.266.166.096.046.005.965.915.875.845.825.804 56.615.795.415.195.054.954.884.824.774.744.684.644.604.584.565 65.995.144.764.534.394.284.214.154.104.064.003.963.923.903.876 75.594.744.354.123.973.873.793.733.683.643.573.533.493.473.447 85.324.464.073.843.693.583.503.443.393.353.283.243.203.173.158 95.124.263.863.633.483.373.293.233.183.143.073.032.992.962.949 104.964.103.713.483.333.223.143.073.022.982.912.862.832.802.7710 114.843.983.593.363.203.093.012.952.902.852.792.742.702.672.6511 124.753.893.493.263.113.002.912.852.802.752.692.642.602.572.5412 134.673.813.413.183.032.922.832.772.712.672.602.552.512.482.4613 144.603.743.343.112.962.852.762.702.652.602.532.482.442.412.3914 154.543.683.293.062.902.792.712.642.592.542.482.422.382.352.3315 164.493.633.243.012.852.742.662.592.542.492.422.372.332.302.2816 174.453.593.202.962.812.702.612.552.492.452.382.332.292.262.2317 184.413.553.162.932.772.662.582.512.462.412.342.292.252.222.1918 194.383.523.132.902.742.632.542.482.422.382.312.262.212.182.1619 204.353.493.102.872.712.602.512.452.392.352.282.222.182.152.1220 214.323.473.072.842.682.572.492.422.372.322.252.202.162.122.1021 224.303.443.052.822.662.552.462.402.342.302.232.172.132.102.0722 234.283.423.032.802.642.532.442.372.322.272.202.152.112.072.0523 244.263.403.012.782.622.512.422.362.302.252.182.132.092.052.0324 254.243.392.992.762.602.492.402.342.282.242.162.112.072.042.0125 264.233.372.982.742.592.472.392.322.272.222.152.092.052.021.9926 274.213.352.962.732.572.462.372.312.252.202.132.082.042.001.9727 284.203.342.952.712.562.452.362.292.242.192.122.062.021.991.9628 294.183.332.932.702.552.432.352.282.222.182.102.052.011.971.9429 304.173.322.922.692.532.422.332.272.212.162.092.041.991.961.9330 324.153.292.902.672.512.402.312.242.192.142.072.011.971.941.9132 344.133.282.882.652.492.382.292.232.172.122.051.991.951.921.8934 364.113.262.872.632.482.362.282.212.152.112.031.981.931.901.8736 384.103.242.852.622.462.352.262.192.142.092.021.961.921.881.8538 404.083.232.842.612.452.342.252.182.122.082.001.951.901.871.8440 424.073.222.832.592.442.322.242.172.112.061.991.931.891.861.8342 444.063.212.822.582.432.312.232.162.102.051.981.921.881.841.8144 464.053.202.812.572.422.302.222.152.092.041.971.911.871.831.8046 484.043.192.802.572.412.292.212.142.082.031.961.901.861.821.7948 504.033.182.792.562.402.292.202.132.072.031.951.891.851.811.7850 604.003.152.762.532.372.252.172.102.041.991.921.861.821.781.7560 803.963.112.722.492.332.212.132.062.001.951.881.821.771.731.7080 1003.943.092.702.462.312.192.102.031.971.931.851.791.751.711.68100 1253.923.072.682.442.292.172.082.011.961.911.831.771.721.691.65125 1503.903.062.662.432.272.162.072.001.941.891.821.761.711.671.64150 2003.893.042.652.422.262.142.061.981.931.881.801.741.691.661.62200 3003.873.032.632.402.242.132.041.971.911.861.781.721.681.641.61300 5003.863.012.622.392.232.122.031.961.901.851.771.711.661.621.59500 10003.853.002.612.382.222.112.021.951.891.841.761.701.651.611.581000 ∞3.843.002.602.372.212.102.011.941.881.831.751.691.641.601.57∞

附表　8(2) F值表(方差分析用）

P＝0.05

n＇2

n＇1(较大均方的自由度)n＇2 222426283035404550608010020050000　 12492492492502502512512512522522522532542542541 219.519.519.519.519.519.519.519.519.519.519.519.519.519.519.52 38.658.648.638.628.628.608.598.598.588.578.568.558.548.538.533 45.795.775.765.755.755.735.725.715.707.695.675.665.655.645.634 54.545.534.524.504.504.484.464.454.444.434.414.414.394.374.375 63.863.843.833.823.813.793.773.763.753.743.723.713.693.683.676 73.433.413.403.393.383.363.343.333.323.303.293.273.253.243.237 83.133.123.103.093.083.063.043.033.023.012.992.972.952.942.938 92.922.902.892.872.832.842.832.812.802.792.772.762.732.722.719 102.752.742.722.712.702.682.662.652.642.622.602.592.562.550.5410 112.632.612.592.582.572.552.532.522.512.492.472.462.432.422.4011 122.522.512.492.482.472.442.432.412.402.382.362.352.322.312.3012 132.442.422.412.392.382.362.342.332.312.302.272.262.232.222.2113 142.372.352.332.322.312.282.272.252.242.222.202.192.162.142.1314 152.312.292.272.262.252.222.202.192.182.162.142.122.102.082.0715 162.252.242.222.212.192.172.152.142.122.112.082.072.042.022.0116 172.212.192.172.162.152.122.102.092.082.062.032.021.991.971.9617 182.172.152.132.122.112.082.062.052.042.021.991.981.951.931.9218 192.132.112.102.082.072.052.032.012.001.981.961.941.911.891.8819 202.102.082.072.052.042.011.991.981.971.951.921.911.881.861.8420 212.072.052.042.022.011.981.961.951.941.921.891.881.841.821.8121 222.052.032.012.001.981.961.941.921.911.891.861.851.821.801.7822 232.022.001.991.971.961.931.911.901.881.861.841.821.791.771.7623 242.001.981.971.951.941.911.891.881.861.841.821.801.771.751.7334 251.981.961.951.931.921.891.871.861.841.821.801.781.751.731.7125 261.971.951.931.911.901.871.851.841.821.801.781.761.731.711.6926 271.951.931.911.901.881.861.841.821.811.791.761.741.711.691.6727 281.931.911.901.881.871.841.821.801.791.771.741.731.691.671.6528 291.921.901.881.871.851.831.811.791.771.751.731.711.671.651.6429 301.911.891.871.851.841.811.791.771.761.741.711.701.661.641.6230 321.881.861.851.831.821.791.771.751.741.711.691.671.631.611.5932 341.861.841.821.801.801.771.751.731.711.691.661.651.611.591.5734 361.851.821.811.791.781.751.731.711.691.671.641.621.591.561.5536 381.831.811.791.771.761.731.711.691.681.651.621.611.571.541.5338 401.811.791.771.761.741.721.691.671.661.641.611.591.551.531.5140 421.801.781.761.741.731.701.681.661.651.621.591.571.531.511.4942 441.791.771.751.731.721.691.671.651.631.611.581.561.521.491.4844 461.781.761.741.721.711.681.651.641.621.601.571.551.511.481.4646 481.771.751.731.711.701.671.641.621.611.591.561.541.491.471.4548 501.761.741.721.701.691.661.631.611.601.581.541.521.481.461.4450 601.721.701.681.661.651.621.591.571.561.531.501.481.441.411.3960 801.681.651.631.621.601.571.541.521.511.481.451.431.381.351.3280 1001.651.631.611.591.571.541.521.491.481.451.411.391.341.311.28100 1251.631.601.581.571.551.521.491.471.451.421.391.361.311.271.25125 1501.611.591.571.551.531.501.481.451.441.411.371.341.291.251.22150 2001.601.571.551.531.521.481.461.431.411.391.351.321.261.221.19200 3001.581.551.531.511.501.461.431.411.391.361.321.301.231.191.15300 5001.561.541.521.501.481.451.421.401.381.341.301.281.211.161.11500 10001.551.531.511.491.471.441.411.381.361.331.291.261.191.131.081000 ∞1.541.521.501.481.461.421.391.371.351.321.271.241.171.111.00∞

附表8 (3) F值表(方差分析用)

P＝0.01

nˊ2nˊ1（较大均方的自由度）nˊ2 123456789101214161820　 14052500054035625575458595928598160226056610661426169619062091 298.599.099.299.299.399.399.499.499.499.499.499.499.499.499.42 334.130.829.528.728.227.927.727.527.327.227.126.926.826.826.73 421.218.016.716.015.515.215.014.814.714.514.414.214.214.114.04 516.313.312.111.411.010.710.510.310.210.19.899.779.689.619.555 613.710.99.789.158.758.478.268.107.987.877.727.607.527.457.406 712.29.558.457.857.467.196.996.846.726.626.476.366.276.216.167 811.38.657.597.016.636.376.186.035.915.815.675.565.485.415.368 910.68.026.996.426.065.805.615.475.355.265.115.004.924.864.819 1010.07.566.555.995.645.395.205.064.944.854.714.604.524.464.4110 119.657.216.225.675.325.074.894.744.634.544.404.294.214.154.1011 129.336.935.955.415.064.824.644.504.394.304.164.053.973.913.8612 139.076.705.745.214.864.624.444.304.194.102.963.863.733.713.6613 148.866.515.565.044.704.464.234.144.033.943.803.703.623.563.5114 158.686.365.424.894.564.324.144.003.893.803.673.563.493.423.3715 168.536.235.294.774.444.204.033.893.783.693.553.453.373.313.2616 178.406.115.184.674.344.103.933.793.683.593.463.353.273.213.1617 188.296.015.394.584.254.013.843.713.603.513.373.273.193.133.6818 198.185.935.014.504.173.943.773.633.523.433.303.103.123.053.0019 208.105.854.944.434.103.373.703.563.463.373.233.133.052.992.9420 218.025.784.874.374.043.813.643.513.403.313.173.072.992.932.8821 227.955.724.824.313.993.763.593.453.353.263.123.022.942.882.8322 237.885.664.764.263.943.713.543.413.303.213.072.972.892.832.7823 247.825.614.724.223.903.673.503.363.263.173.032.932.852.792.7424 257.775.574.684.183.863.633.463.323.223.132.992.892.812.752.7025 267.725.534.644.143.823.593.423.293.183.092.962.862.782.722.6626 277.685.494.604.113.783.563.393.263.153.062.932.822.752.682.6327 287.645.454.574.073.753.533.363.233.123.032.902.792.722.652.6028 297.605.424.544.043.733.503.333.203.093.002.872.772.692.622.5729 307.565.394.514.023.703.473.303.173.072.982.842.742.662.602.5530 327.505.344.463.073.653.433.263.133.022.932.802.702.622.552.5032 347.445.294.423.933.613.393.223.092.982.892.762.662.582.512.4634 367.405.254.383.893.573.353.183.052.952.862.722.622.542.482.4336 387.355.214.343.863.543.323.153.022.922.832.692.592.512.452.4038 407.315.184.313.833.513.293.122.992.892.802.662.562.482.422.3740 427.285.154.293.803.493.273.102.972.862.782.642.542.462.402.3442 447.255.124.263.783.473.243.082.952.842.752.622.522.442.372.3244 467.225.104.243.763.443.223.062.932.822.732.602.502.422.352.3046 487.205.084.223.743.433.203.042.912.802.722.582.482.402.332.2848 507.175.064.203.723.413.193.022.892.792.702.562.462.382.322.2750 607.084.984.133.653.343.122.952.822.722.632.592.392.312.252.2060 806.964.884.043.563.263.042.872.742.642.552.422.312.232.172.1280 1006.904.823.983.513.212.992.822.692.592.502.372.262.192.122.07100 1256.844.783.943.473.172.952.792.662.552.472.332.232.152.082.03125 1506.814.753.923.453.142.922.762.632.532.442.312.202.122.062.00150 2006.764.713.883.413.112.892.732.602.502.412.272.172.092.021.97200 3006.724.683.853.383.082.862.702.572.472.382.242.142.061.991.94300 5006.694.653.823.363.052.842.682.552.442.362.222.122.041.971.92500 10006.664.633.803.343.042.822.662.532.432.342.202.102.021.951.901000 ∞6.634.613.783.323.022.802.642.512.412.322.182.082.001.931.88∞

附表　8（4） F值表（方差分析用）

P=0.01

nˊ2n＇2(较大均方的自由度)nˊ2 2224262830354045506080100200500∞　 16220623462406250625862806286630063026310633463306352636163661 299.599.599.599.599.599.599.599.599.599.599.599.599.599.599.52 326.626.626.626.526.526.526.426.426.426.326.326.226.226.126.13 414.013.913.913.913.813.813.713.713.713.713.613.613.513.513.54 59.519.479.439.409.389.339.299.269.249.209.169.139.089.049.025 67.357.317.287.257.237.187.147.117.097.067.016.996.936.906.886 76.116.076.046.025.995.945.915.885.865.825.785.755.705.675.657 85.325.285.255.225.205.155.125.005.075.034.994.964.914.884.868 94.774.734.704.674.654.604.574.544.524.484.444.424.364.334.319 104.364.334.304.274.254.204.174.144.124.084.044.013.963.933.9110 114.064.025.993.963.943.893.863.833.813.783.733.713.663.623.6011 123.823.783.753.723.703.653.623.593.573.543.493.473.413.383.3612 133.623.593.563.533.513.463.433.403.383.343.303.273.223.193.1713 143.463.432.403.373.353.303.273.243.223.183.143.113.063.033.0014 153.333.293.263.243.213.173.133.103.083.053.002.982.922.892.8715 163.223.183.153.123.103.053.022.992.972.932.892.862.812.782.7516 173.123.083.053.033.002.962.922.892.872.832.792.762.712.682.6517 183.033.002.972.942.922.872.842.812.782.752.702.682.622.592.5718 192.962.922.892.872.842.802.762.732.712.672.632.602.552.512.4919 202.902.862.832.802.782.732.692.672.642.612.562.542.482.442.4220 212.842.802.772.742.722.672.642.612.582.552.502.482.422.382.3621 222.782.752.722.692.672.622.582.552.532.502.452.422.362.332.3122 232.742.702.672.642.622.572.542.512.482.452.402.372.322.282.2623 242.702.662.632.602.582.532.492.462.442.402.362.332.272.242.2124 252.662.622.592.562.542.492.452.422.402.362.322.292.232.192.1725 262.622.582.552.532.502.452.422.392.362.332.282.252.192.162.1326 272.592.552.522.492.472.422.382.352.332.292.252.222.162.122.1027 282.562.522.492.462.442.392.352.322.302.262.222.192.132.092.0628 292.532.492.462.442.412.362.332.302.272.232.192.162.102.062.0329 302.512.472.442.412.392.342.302.272.252.212.162.132.072.032.0130 322.462.422.392.362.342.292.252.222.202.162.112.082.021.981.9632 342.422.382.352.322.302.252.212.182.162.122.072.041.981.941.9134 362.382.352.322.292.262.212.172.142.122.082.032.001.941.901.8736 382.352.322.282.262.232.182.142.112.092.052.001.971.901.861.8438 402.332.292.262.232.202.152.112.082.062.021.971.941.871.831.8040 422.302.262.232.202.182.132.092.062.031.991.941.911.851.801.7842 442.282.242.212.182.152.102.062.032.011.971.921.891.821.781.7544 462.262.222.192.162.132.082.042.011.991.951.901.861.801.751.7346 482.242.202.172.142.122.062.021.991.971.931.881.841.781.731.7048 502.222.182.152.122.102.052.011.971.951.911.861.821.761.711.6850 602.152.122.082.052.031.981.941.901.881.841.781.751.681.631.6060 802.072.032.001.971.941.891.851.811.791.751.691.661.581.531.4980 1002.021.981.941.921.891.841.801.761.731.691.631.601.521.471.43100 1251.981.941.911.881.851.801.761.721.691.651.591.551.471.411.37125 1501.961.921.881.851.831.771.731.691.661.621.561.521.431.381.33150 2001.931.891.851.821.791.741.691.661.631.581.521.481.391.331.28200 3001.891.851.821.791.761.711.661.621.591.551.481.441.351.281.22300 5001.871.831.791.761.741.681.631.601.561.521.451.411.311.231.16500 10001.851.811.771.741.721.661.611.571.541.501.431.381.281.191.111000 ∞1.831.791.761.721.701.641.591.551.521.471.401.361.251.151.00∞

附表9　q值表

上行：P=0.05

　下行：P=0.01

n＇a（组数） 2345678910 53.644.605.225.676.036.336.586.806.99 5.706.987.808.428.919.329.679.9710.24　 63.464.344.905.305.635.906.126.326.49 5.246.337.037.567.978.328.618.879.10　 73.344.164.635.065.365.615.826.006.16 4.955.926.547.017.377.687.948.178.37　 83.264.044.534.895.175.405.605.775.92 4.755.646.206.626.967.247.477.687.86　 93.203.954.414.765.025.245.435.595.74 4.605.435.966.356.666.917.137.337.49　 103.153.884.334.654.915.125.305.465.60 4.485.275.776.146.436.676.877.057.21　 123.083.774.204.514.754.955.125.275.39 4.325.055.505.846.106.326.516.676.81　 143.033.704.114.414.644.834.995.135.25 4.214.895.325.635.886.086.266.416.54　 163.003.654.054.334.564.744.905.035.15 4.134.795.195.495.725.926.086.226.35　 182.973.614.004.284.494.674.824.965.07 4.074.705.095.385.605.795.946.086.20　 202.953.583.964.234.454.624.774.905.01 4.024.645.025.295.515.695.845.976.09　 302.893.493.854.104.304.464.604.724.82 3.894.454.805.055.245.405.545.655.76　 402.863.443.794.044.234.394.524.634.73 3.824.374.704.935.115.265.395.505.60　 602.833.403.743.984.164.314.444.554.65 3.764.284.594.824.995.135.255.365.45　 1202.803.363.683.924.104.244.364.474.56 3.704.204.504.714.875.015.125.215.30　 ∞2.773.313.633.864.034.174.294.394.47 3.644.124.404.604.764.884.995.085.16　 　

附表10　正交拉丁方表

3×34×4 ⅠⅡⅠⅡⅢ 123123123412341234 231312214334124321 312231341243212143 　432121433412 5×5 ⅠⅡⅢⅣ 12345123451234512345 23451345124512351234 34512512342345145123 45123234515123434512 51234451233451223451 7×7 ⅠⅡⅢ 123456712345671234567 234567134567124567123 345671256712347123456 456712371234563456712 567123423456716712345 671234545671232345671 712345667123455671234 ⅣⅤⅥ 123456712345671234567 567123467123457123456 234567145671236712345 671234523456715671234 345671271234564567123 712345656712343456712 456712334567122345671 　　　　　　　　　　　　　 　

附表11（1）　相关系数界值表

P(2):0.500.200.100.050.020.010.0050.0020.001 P(1):0.250.100.050.0250.010.0050.00250.0010.0005 10.7070.9510.9880.9971.0001.0001.0001.0001.000 20.5000.8000.9000.9500.9800.9900.9950.9980.999 30.4040.6870.8050.8780.9340.9590.9740.9860.991 40.3470.6030.7290.8110.8820.9170.9420.9630.974 50.3090.5510.6690.7550.8330.8750.9060.9350.951 60.2810.5070.6210.7070.7890.8340.8700.9050.925 70.2600.4720.5820.6660.7500.7980.8360.8750.898 80.2420.4430.5490.6320.7150.7650.8050.8470.872 90.2280.4190.5210.6020.6850.7350.7760.8200.847 100.2160.3980.4970.5760.6580.7080.7500.7950.823 110.2060.3800.4760.5530.6340.6840.7260.7720.801 120.1970.3650.4570.5320.6120.6610.7030.7500.780 130.1890.3510.4410.5140.5920.6410.6830.7300.760 140.1820.3380.4260.4970.5740.6230.6640.7110.742 150.1760.3270.4120.4820.5580.6060.6470.6940.725 160.1700.3170.4000.4680.5420.5900.6310.6780.708 170.1650.3080.3890.4560.5290.5750.6160.6220.693 180.1600.2990.3780.4440.5150.5610.6020.6480.679 190.1560.2910.3690.4330.5030.5490.5890.6350.665 200.1520.2840.3600.4230.4920.5370.5760.6220.652 210.1480.2770.3520.4130.4820.5260.5650.6100.640 220.1450.2710.3440.4040.4720.5150.5540.5990.629 230.1410.2650.3370.3960.4620.5050.5430.5880.618 240.1380.2600.3300.3880.4530.4960.5340.5780.607 250.1360.2550.3230.3810.4450.4870.5240.5680.597 260.1330.2500.3170.3740.4370.4790.5150.5590.588 270.1310.2450.3110.3670.4300.4710.5070.5500.579 280.1280.2410.3060.3610.4230.4630.4990.5410.570 290.1260.2370.3010.3550.4160.4560.4910.5330.562 300.1240.2330.2960.3490.4090.4490.4840.5260.554 310.1220.2290.2910.3440.4030.4420.4770.5180.546 320.1200.2260.2870.3390.3970.4360.4700.5110.539 330.1180.2220.2830.3340.3920.4300.4640.5040.532 340.1160.2190.2790.3290.3860.4240.4580.4980.525 350.1150.2160.2750.3250.3810.4180.4520.4920.519 360.1130.2130.2710.3200.3760.4130.4460.4860.513 370.1110.2100.2670.3160.3710.4080.4410.4800.507 380.1100.2070.2640.3120.3670.4030.4350.4740.501 390.1080.2040.2610.3080.3620.3980.4300.4690.495 400.1070.2020.2570.3040.3580.3930.4250.4630.490 410.1060.1990.2540.3010.3540.3890.4200.4580.484 420.1040.1970.2510.2970.3500.3840.4160.4530.479 430.1030.1950.2480.2940.3460.3800.4110.4490.474 440.1020.1920.2460.2910.3420.3760.4070.4440.469 450.1010.1900.2430.2880.3380.3720.4030.4390.465 460.1000.1880.2400.2850.3350.3680.3990.4350.460 470.0990.1860.2380.2820.3310.3650.3950.4310.456 480.0980.1840.2350.2700.3280.3610.3910.4270.451 490.0970.1820.2330.2760.3250.3580.3870.4230.447 500.0960.1810.2310.2730.3220.3540.3840.4190.443

附表11　(2)相关系数界值表

P(2):0.500.200.100.050.020.010.0050.0020.001 P(1):0.250.100.050.0250.010.0050.00250.0010.0005 520.0940.1770.2260.2680.3160.3480.3770.4110.435 540.0920.1740.2220.2630.3100.3410.3700.4040.428 560.0900.1710.2180.2590.3050.3360.3640.3980.421 580.0890.1680.2140.2540.3000.3300.3580.3910.414 600.0870.1650.2110.2500.2950.3250.3520.3850.408 620.0860.1620.2070.2460.2900.3200.3470.3790.402 640.0810.1600.2040.2420.2860.3150.3420.3740.396 660.0830.1570.2010.2390.2820.3100.3370.3680.390 680.0820.1550.1980.2350.2780.3060.3320.3630.385 700.0810.1530.1950.2320.2740.3020.3270.3580.380 720.0800.1510.1930.2290.2700.2980.3230.3540.375 740.0790.1490.1900.2260.2660.2940.3190.3490.370 760.0780.1470.1880.2230.2630.2900.3150.3450.365 780.0770.1450.1850.2200.2600.2860.3110.3400.361 800.0760.1430.1830.2170.2570.2830.3070.3360.357 820.0750.1410.1810.2150.2530.2800.3040.3330.328 840.0740.1400.1790.2120.2510.2760.3000.3290.349 860.0730.1380.1770.2100.2480.2730.2970.3250.345 880.0720.1360.1740.2070.2450.2700.2930.3210.341 900.0710.1350.1730.2050.2420.2670.2900.3180.338 920.0700.1330.1710.2030.2400.2640.2870.3150.334 940.0700.1320.1690.2010.2370.2620.2840.3120.331 960.0690.1310.1670.1990.2350.2590.2810.3080.327 980.0680.1290.1650.1970.2320.2560.2790.3050.324 1000.0680.1280.1640.1950.2300.2540.2760.3030.321 1050.0660.1250.1600.1900.2250.2480.2700.2960.314 1100.0640.1220.1560.1860.2200.2420.2640.2890.307 1150.0630.1190.1530.1820.2150.2370.2580.2830.300 1200.0620.1170.1500.1780.2100.2320.2530.2770.294 1250.0600.1140.1470.1740.2060.2280.2480.2720.289 1300.0590.1120.1440.1710.2020.2230.2430.2670.283 1350.0580.1100.1410.1680.1990.2190.2390.2620.278 1400.0570.1080.1390.1650.1950.2150.2340.2570.273 1450.0560.1060.1360.1620.1920.2120.2300.2530.269 1500.0550.1050.1340.1590.1890.2080.2270.2490.264 1600.0530.1010.1300.1540.1830.2020.2200.2410.256 1700.0520.0980.1260.1500.1770.1960.2130.2340.249 1800.0500.0950.1220.1450.1720.1900.2070.2280.242 1900.0490.0930.1190.1420.1680.1850.2020.2220.236 2000.0480.0910.1160.1380.1640.1810.1970.2160.230 2500.0430.0810.1040.1240.1460.1620.1760.1940.206 3000.0390.0740.0950.1130.1340.1480.1610.1770.188 3500.0360.0680.0880.1050.1240.1370.1490.1640.175 4000.0340.0640.0820.0980.1160.1280.1400.1540.164 4500.0320.0600.0770.0920.1090.1210.1320.1450.154 5000.0300.0570.0740.0880.1040.1150.1250.1380.146 6000.0280.0520.0670.0800.0950.1050.1140.1260.134 7000.0260.0480.0620.0740.0880.0970.1060.1160.124 8000.0240.0450.0580.0600.0820.0910.0990.1090.116 9000.0220.0430.0550.0650.0770.0860.0930.1030.100 10000.0210.0410.0520.0620.0730.0810.0890.0980.104

附表12　成对资料秩和检验R的界值表

对子数

(n)较小的秩号之和

对子数

((n)较小的秩号之和P=0.05P=0.01P=0.05P=0.0160—16302072—17352384018402896219463210832052381111521594312147226649131710237355142113248161152516258968

附表13　两组资料秩和检验较小R值的界值表（双侧检验）

n2=较大nPn1= 较小n2345678910111213141540.05　　10　　　　　　　　　　　0.01　　—　　　　　　　　　　　50.05　61117　　　　　　　　　　0.01　——15　　　　　　　　　　60.05　7121826　　　　　　　　　0.01　—101623　　　　　　　　　70.05　713202736　　　　　　　　0.01　—10172432　　　　　　　　80.05381421293849　　　　　　　0.01——1117253443　　　　　　　90.0538152231405163　　　　　　0.01—6111826354556　　　　　　100.053915233242536578　　　　　0.01—612192737475871　　　　　110.05491624344455688196　　　　0.01—61220283849617487　　　　120.054101726354658718599115　　　0.01—71321304051637690106　　　130.0541018273748607388103119137　　0.01—71422314153657993109125　　140.0541119283850637691106123141160　0.01—71422324354678196112129147　150.05411202940526579941101271451641850.01—81523334456708499115133151171160.0541221314254678297114131150169　0.01—815243446587286102119137155　170.05512213243567084100117135154　　0.01—816253647607489105122140　　180.05513223345587287103121139　　　0.01—816263749627692108125　　　190.05513233446607490107124　　　　0.013917273850647894111　　　　200.05514243548627793110　　　　　0.013918283952668197　　　　　210.05614253750647995　　　　　　0.0139182940536883　　　　　　220.056152638516682　　　　　　　0.013101929425570　　　　　　　230.0561527395368　　　　　　　　0.0131019304357　　　　　　　　240.05616284055　　　　　　　　　0.01310203144　　　　　　　　　250.056162842　　　　　　　　　　0.013112032　　　　　　　　　　260.0571729　　　　　　　　　　　0.0131121　　　　　　　　　　　270.05717　　　　　　　　　　　　0.01411　　　　　　　　　　　　280.057　　　　　　　　　　　　　0.014　　　　　　　　　　　　　

附表14　三组完全随机设计秩和检验的界值表

Nn1n2n3H0.05H0.01Nn1n2n3H0.05H0.0173224.71　5325.256.823315.14　5414.996.9583325.36　

114435.607.144225.33　5335.657.084315.20　5425.277.125215.00　5515.137.31

93335.607.20124445.697.654325.446.305435.637.444414.976.675525.347.275225.166.53135445.627.765314.966.405535.717.54104335.726.75145545.647.794425.457.04155555.787.98

附表15　附机单位组设计秩和检验的界值表

单位组数三个处理组四个处理组H0.05H0.01H0.05H0.012--6.00-36.00-7.409.0046.508.007.809.6056.408.407.809.9667.009.007.6010.2077.148.867.8010.3786.259.00　　96.228.67　　106.209.60　　116.559.46　　126.179.50　　136.009.39　　146.149.00　　156.408.93　　

附表16　Spearman秩相关系数界值表

nrs0.05rs0.01nrs0.05rs0.0160.8861.000310.3560.45970.7860.929320.3500.45280.7380.881330.3450.44690.7000.833340.3400.439100.6480.794350.3350.433110.6180.755360.3300.427120.5870.727370.3250.421130.5600.703380.3210.415140.5380.679390.3170.410150.5210.654400.3130.405160.5030.635410.3090.400170.4850.615420.3050.395180.4720.600430.3010.391190.4600.584440.2980.386200.4470.570450.2940.382210.4350.556460.2910.378220.4250.544470.2880.374230.4150.532480.2850.370240.4060.521490.2820.366250.3980.511500.2970.363260.3900.501　　　270.3820.491　　　280.3750.483　　　290.3680.475　　　300.3620.467　　　

附表17（1）　随机数字表

编号1235667891011121314151617181920212223242510347437386369647366146986371623326168045601114109529774246762428114572042533237322707360751245179897331676622766565026710732907978531355385859889754141041256859926969668273105037293155712101421882649817655559563564385482462231624309900618443253238301303061622779439495443548217379323788735209643842634916478442175331572455068877047447672176335025839212067686301637859169555671998105071751286735807443952387993321123429786456078252420744381551001342996602795410576086324409472796544917460962905284772708027343281118180792464417165809798386196206765003105523640505122662389775841607449983114632242014858845109372887113234240647482977777810745321408329894077293857910751452362819955092261197005676313880220253538660420453153785943512833950083042340796885442068798358529483916702917121340332038261389510374177637130407742119301756621837359683508775971225934770332403549777464480189949572277884295457216643616000443186679947724219019160815047233271434094559346849127207344599277295142031169332435027898719201537004952856660443868881180216834301370557430774044227884260433460952680797065722745725657659299768607191386754135818247615545595522327423786534855906572965769361096469242459760490491240039682961663732203077845703291045650426110496672425299498942468496910825375919330342520572740487351922616908266598362641112671900717460472129680202370331271127947506060919746602943734027670903086384594303828352410162033325126387978450491169253561602755095982938231686384238970150877566814140017491624851840832303196259147964433491334868253910052434885275526896231666740671464057195861105650968768320379057160011663214908445117573880590522741148622981222080752749580336805511800339602751907606293555933824390493738445934204678739097514014020402333108395416493647959313303564195897791506159320019010750640787389620267741733360526937060223585151392035159775956780683529105707437079710882309984299646171629915065129169358057709513868718685855487664754733208111244959263162956242948392699616553583778807042105067423217558574944467169440146552687587593622412678630655130827015015293939434117537758717141615072124194962644952736990296743083429026592119235223331296930218390702183607259932702343412352559931044969961047484588134143892097171449174460205081693199736868358133037624301248601899107234459125380590945828413645375903099035572912826254656046345057743798803300910977931982749480040445073166494785220439437381539479336246862808315446315394133847480979137748738297222105032724837289440560358039948849887580181422957542493932822249024807703716046167875090962370003900030690558578383694373069329089007633

附表17（2）随机数字表

编号1235667891011121314151617181920212223242515374239967613228698494626786249833411995475353380926338068654990065269402829023077962678060759112811933530582146067217109425213175964928240049556579780746343368269655118378861384412453292858865543481853559825375526019182814674711294972402713707039218667560263211769715080895638157011484340458698008326910376455222182482228060061541343918278122329066624122788507261389011007820459636936036911158380132954192895854162415515444820062616504693818651897857213492110348527848761486456269018481326377015425765658039071103921827465799169656303372852284643856989901309864126295302759377541664886978061452353040163457608642713084593152260217546919877278542288861088469620342731407085518404544751390249496610257556683157342371161150185899566511019348815849719751276394378646391082516728471143519115849265011171776863157201895607846751788782816841352539453754569309673896570319917434876184517756557284019721225127475676040608119246201611619967628125422011194257196161688686436744519596088922043316772302402940863383236660269363825394803451522215044664421660658056263155435024235489632145241524822226622158626637541995842367224583752185103371839112396244014512322308857956747298394694006071816367886243173916119602072934898570723696595396958568030194425786073998443899436455669470741902291071278353408722684379061567010239805851134766076484534600164183996273667100823989335088699297629813334915893631452325228072859074889645889758385622789301478562786635980022910158387607924316656214824069391989405490147593800305519689765037352165600535590273342293887221388833431538129133935012071346233748214537319090356542956933251863268923398746699401471945845941938811444998107333591702913800354072796947832665095527433138055625434377167951320024495946485040572013290761453897460413593661383279279646472285496538448145298945607938930360296084565130500418493075472592145570977194856274437498343483582883369967236041976474515186082110895973884607162464080813037343923053825153571308812572177391817308871449114884789233063155634204789998293249840796910617871327695628700225840925401752543117199314175933657835620148211742197906596426863867454132694423830922903062881393862250684636129089367043292080943512950103431577595805197027477761548494418556377094421313886243779815374732416103352839094767047145436452901238782580239376742101420921655234245549609110646953395220018747200183879586932817680269282808425394790846079802436598738820753893596352379180598900735484640629882549720569515748008321646705080677216427949203189034338468268723214829970806047189763493021305071597305500822237177910193204982965926946639679860

附表17(3) 随机数字表

编号1235667891011121314151617181920212223242512217686584689523923587022257516109439506582482034721936275946137993375539773277098552053062478351627431677230277096187252128062425931671135978230547472547843767161204490326497676399614638039322698121992150328282608733732040569301609058869582899350744754769322536439071063763587030479880813138551553457726977876585474923870969252067979458263182744696692190982368352600995393612852700548345665056186909210708091539257099938652776515335905282287260747869698290610587196302418462334278513992444491809794974163223021157352733722453639409411076479144049549663960045981124850865448220634725282211565203329947111159129120313619648950307163933669856105679772130271290492223621436938941262970836351997420523687094115099860160303151887004231579012020723473717315408018863394188921016885653275933357267477734554570081827389016958670751709729584294941310670423806451864847331655253379715181296881731651969028360758690682464193551566187391219859457241692098438762200276985298194787021944790122038644359939877876807915167624440980593782332654118215344094272004186797968472200203555315151008363225522407666268457999990373663320858374013689787648107832302177918051259525702220790470328141130792069224098249517820653315110964692068807775611508169402372513925357622429296118344803468354877334240906073965397862626291356418547046608347257591382438046153826617004277780207582728232999063957376638973449905486726431328464066445291367443533082135400784563983555033667682937560818097753844647319118955824167411534410138557306165616866372747391984837007485321400671950679885431934369640734180452355627092486618553834519907099003221966012991120994518481393553418377949906597382046339520479797273783287100064141744580093984516711524934978621787310658192595876171497047662161717957045803569920634135971741732275510241923718213746352520141360431172156337399198726723927675377576893606197226137610698039187147743964300659850456033010798994650473885938586887287086240160610892023213474977638032963392174324745739607945209659077472576161933530570533040156953828079962353106539071629453302437002874041454102890804492021146886876393951711290195803514973533428718158979854301727308617451698974398215945133416743988371942259975099520852850840878061653191518032444410085821667268492931898584460659731985236509297563454790561008880284278342297223196656456579207153202546228561689049649285441640128988501449810601827745124767804379331283114116255819687077025400525343371526482762509672794461401514534065392731585028113903342549337880871538300638211447470726549687533240364096765013139266994724495774222543021710971169849963223298

附表17(4)　随机数字表

编号1234567891011121314151617181920232223242511027539623715054362354310482930414121509267825474722841506188648527201883363605563971650962947662118933421425702591918974880300330980524677007849750874646181772323828211540853287058964407395543423443392856115181354168620268890748055091453905117520163015969176216464449113329775316266548480327577560825702970097790806373028598553566853400174395973301999854883646183494752080277778916916000843187368676961342598898996050659579429493624089964356477166467629670210043759872105020324174797815651923486018255513312911163620634419421785509727645169429958183837988019730127847235390344192457109237070071238927943148511472313876862154353143659255447337015592448403550034299361447609210778859531152662569070448686471066165702212155688875941652804675395798837315041069476818317163316025745866773430734484426879329770961678406694477751731541413174862119060681293642846247916761460255101182850164336289785589967225276232470365454592861719619532962665002634552386763475475832478432092631347482045655826517696593872865745714644677614554488016212213965366370774585505174133935223053360295493488736122737198160429189451237651948486799396386308582558942372205620117265710886795795139197487266480971172496247517269976893720700177316195462697057351533318728725374860822981301539144838759329068737784845460084472668080280728371463049891795882902395603469774065617271423986167705285015001840278431062981941188399479928490896214425279941280741083466194274399141965378722978370608436361624229396895109609242300625612807316303721341768689683235632846015314473673477911579745831142009340487830755077658308364872925588486506000253258432806364952835114475691293405873106951245470909331043672970806280034210802138849056350309431274491434443888395486973744220095013176171629566338789449813590695919518539528513072837076111163627037886720495364147102562970531036120263619626869869544849548464537919414631975891147113156341909795792365914938781403880065418660918940619984007178122454484112462204231396772776348840831555824334577588045679382757016082440594024132779268886300131601039535847709385815639384105903589950161169694507813693637685337317126350371424443806998466805148290785005627779135744596010396643618131968200572560594672601877556612621108995564574442880710052498656321472161883227803021601092353612457794300539281099002712737399124999579482968857179146788319761694116884262354208685238666990736373492094787765961814363646161657636959018482745682723653072489143059647557899952437558578780148411910351954077349849777727309620665723712490360411520762750470229165087416076834488960780830583889673706681903056104859

附表17(5) 随机数字表

编号1234567891011121314151617181920212223242512889658708135063042325475791135262241994916748571023029436542786628558047464190085598781070499205120739574626053515732222712727227774467322313679507763040185549672668665646056597536754644336371545006447551091469686198352475365005193513080051929562327190360533180851517857261734879623958999933979112894155270443133700796896266070398366566203558657775533620280585402524735293705048214774631727275126359629004598490906577639925690209040335781979950721028448519710285553094886283002357130320647937421863349902169741189834069809796475997563324873617181690467527285213127320960568934169960797508179594237138183924285043113108907762140247436424033044624356302316134594336961491502778370606162598177880368526417763377163949433150345446688978126038939466721179810393315616300259216894158916365995997849014796155561688876032159967431713430097261691213241602266721731853369076849204329187171005172620389263235279918257812030970509319355619192815004192277340383711057516988199372992203239672056383092304551946904008414363795663901092168409579213927528911008106284812080575260335630577138120675822731328580105064224076060299993729378043605760154032381608451571268465589600971878970811095918379682066240562980785077926696167857237418579764823615887080525629716291852161623566295809763322534033648846037652631136321081601925821487974737208648091380728666159279738353419898405344788093154889796860169461395659628321178338251999844391275106036806639949742363116592981991337050812603923617384891826020437959618690630304574000305699947265248063000180330285559661071440531118413690188912879507142149655985996013688779045593214661287225945270851856423854164720859446798366556334025678782842717303748694902589802505811953906356334444897494365455341071483467411766663600890543365843541945406574828018384091121917397284474062230956972360712155884931831834554526229915358546605471963927537642790435218263296835058452757149639648573879676233880718641034562634088356934109432225204746963218341392706080992262259282738582214792432123842335690925740546897205433267403307422191348302801924958615227034102926568990553152670046922640704732574827835222188428352577862986170482268506455754270320960587061439743828276313385134138101647614377832719704134787760254438613409490441660976205073409524779573204742806103450101118838031016822439582012398277021888331149151646216614382854081807049217633675331411117897305362384732293069596850333147156488752704514161968662936671480459216547399089867746868688865009132491548067786649386450073656504594254828483051607373038768473710845048335083535977645990589262501893094589061326988629

附表17(6) 随机数字表

编号1234567891011121314151617181920212223242512519648284627429922461039122486494631507668512002722302414604443152430744060309341983946294482801519235585669628283062588365686242451308604628956845524346845196959351482568022065226395978987614360903018656931462985188826955401021403054800264385339381159763731612898946147031067808441268884596914773282818976642192494131338699676697624134383101324183284850483365781235915911384423314875740530084632900493561697632061935229530192957744320902025367069383211010110433342025920398495615822040299997878838243671638951128319343948773193847543690981083433226262200905922129719216334693317030211155046084269601742146861144813828037142056395989633390384450782287108806588739671403680313606413093711860257419931666065640303025897156516581101987880632307376620562096067980333940494216246558570418628528242645178276396501739150374938731702726407758566483873751096593148780008887208545717187916786399436100664276267114333886767165378505560719047514933968521683346409446258480272269532673549712040646457609700129133221473011183976805656777809887210627073426015248695719175355960241038933868573023222624003871096882246943556609420607304849896411847072300984818979151632795742584030788290479840371137826245061191891985583460949664112451149368343537535133925385452257801980089858612228925101071194588547700072646868097786512646470584105490868688854008161618041279072929310091281936369300204269226486945919908076528662141776099357261225240746729975071397957821188062987054652768996342237271157041957960836690751199266304690610306898533228034891229374471384037154955510831118853060981833398299127594309707251497335972583413211059206976882340883254058406456427854066096961282333394242028524207126334390292318061681419699214734034248974756161027336856728504985377995026673197628133515197467236138937368762315582035368282590133481766360564127088805835068873482739434340133545551054385037574936440674935539262770987668783626240643245640803877829696976042171848163492195298844842928319067778392410700651596237954253671495298465430730775400154240500007782349543685141850541882237980713760629540304144377621963703089864908559436417799652352105225930429057551747532679203869905864033348329154684490212543507464674295281273233254986494821718171455166164294444047022028431646408525504242991954381146613184744453274616473214651447772489200058359896506537670587846757351704912536751543810116773223261437531612221114776183616341628258298642670548749485511399125208085480017377181642191158281041452113907306077391827856849549557550412774070117986615750524941734605633492335069999554634437335317380658379347106231286359404032

附表18(1)　随机化分组表

10×10 随机拉丁方

112345678910urs1127084653950.32122276495381070.20003385917260440.0788404963812578-0.3939590276183459-0.45456834256079160.11527561340798260.2727879850241637-0.62429413829507670.56361065017394285-0.0788u8688668486

160.3818-0.0667-0.0061-0.5273-0.06670.03030.43030.03030.16360.3697

212345678910urs130962487155-0.2848269273015847-0.12733451396027850.44244135968742040.3939592648750315-0.26066584273610970.2606781705249638-0.1273876014538928-0.16369243801965760.36971007851923467-0.5030u6686647586

2rs0.40510.34500.2970-0.06670.0667-0.2727-0.24850.04240.2121-0.0788

312345678910urs191056784237-0.4061229804153765-0.12733182794603550.20004865273190450.03035574126389080.53946321908465750.39397657382014960.0303803941572685-0.1152974683095126-0.36971040365927818-0.1758u8666477877

3rs0.16360.07880.2364-0.0545-0.27270.51520.0424-0.1516-0.1515-0.1152

412345678910urs1328540179660.3939208269134754-0.3455385742963107-0.01214145032768990.5758570486591235-0.63646263918504760.36977691374250850.2364897610382548-0.3939951078649326-0.175810439257086160.0909u64648841046

4rs-0.0667-0.11520.2848-0.33330.2970-0.07830.47830.7272-0.1636-0.5758

附表18(2)　20个自然数的随机排列

　1234567891011121314151617181920urs10217120906190418070510011608151120130314150.12932190403151310171209160502061108200718011416-0.052630608091220140518150403130201071911161710130.09924101715120103181909060204041420160705081312-0.060251601140719100317021106091205181320081504170.07526132011100401171814051602190307120806091511-0.169970510201503040913011612021917071418081106100.09628171409150513020818041603061101192010071210-0.051190313141118081512100106190704051702162009130.0286100716021109171505140312130620010408181019110.1308

附表18(3)　30个自然数的随机排列

　123456789101112131415161718192021222324252627282930urs120120503262117092419140622112829273008021518012516040713102318-0.0763204280110172611222716132012231824090229192515063007140521030821-0.12043182124042002231716132711051206280114092210082907301503251926150.0785408211210190628172629031413043007232411011620250205221527180922-0.0024527141623302501041124122203210520181315071002280809261906291717-0.0990629181213060926012316281108271003221725302004151402190521240721-0.0785728142011301005092504191629071812081517022723032601222413210617-0.08658140820270621160301281925041512182317220230260511240913100729180.03769101409290524180726230401281911130225033016062112172220081527180.10391006292230092027040724010314101615131826252802231917081205211118-0.1012

附表18(4)　40个自然数的随机排列

101234567893012345678950123456789037140429341722093821032352104093627101922030113835242918020631101510313002120116333610231528173716112606391001232839201534211033203203081106021325184020183431030833400714292004091237262516051440302435192627230528073930200401381335021205303027361732190322130807u=27 r=0.0514u=31 r=0.0861u=34 r=-0.1737　　　　　　　　　　246　　　　　　　　　　019263138230615402733021300227031620042515023342718261736240522100203161037181121043610123911243529362819341003163201312007123728202508052217391224072920331810233706170813402030251311140406354029302813342009321401303530012609380522311432073033081039021909381521u=31 r=0.0383u=29 r=0.0199u=27 r=-0.0614　　　　　　　　　　

附表18(5)　50个自然数的随机排列

101234567893012345678950123456789038094208472150073930016352538234228451837043124107501349140526103612233240272433101110344101123904274403321015223720442531402936302849452946151744032230491546092247063110433047031628391902344510300106201825163548054130140819113607202102173042230411320617462709401431190226133443043740264829052440133033504024483313300138213508u=36r=-0.1553u=41r=-0.0972u=36r=-0.1219246002304140043749220710010072437224625321713048013138172003303718103124475045142544033910041145292605024740091029055011442506234228201201432849172005361320164136192748331439083004493626151443223913300621270833420929361830421538233050340649283010194132072447084621401548111626353223193440431221011820350344344035402702333409124516u=39 r=-0.0555u=39 r=-0.1000U=41 r=0.0088　　　　　　　　　　

附表18(6)　100个自然数的随机排列

101234567892012345678930123456789026038673369184111976048731237196247101651044120786094853636689102308208564355780437210963157365481305586931031646119947392590070204934976088699641740120880903666578846153342072038934961595288520305152476693814831024430442598832859921356793080758269609885026745400453982521062862851740144576436318948580414052790413770611917608500027401322500971243950709146290517263306425043362754014029421738605883789433184579129560277540230452718874116007249726471858419005701590571652750530793670607201952068996967247092497499508825711481807063676861461087426580075835328915028790628065571030552178565162906188592982071492998990215049640079089722399039936822231683334684u=74 r=0.065910u=76 r=-0.0459u=79 r=-0.034　　　　　　　　　　

附表19(1)　两样本率比较时所需样本含量(单侧)

上行：α=0.05,1-β=0.80

中行：α=0.05,1-β=0.90

下行：α=0.01,1-β=0.95

较小率

（%）δ=两组率之差（%）510152025303540455055606570533010555352520161311987664601457648342621171513119878502701408963473730252119171413105401557647322319151311987674021010564443325211714121198137039019512081604637302521191614157102009456382721171412108769902701307752382922191613101081820500240145966952413327222017142086023011063423022181512108761190320150885841312420161411108219059028016010576574435282320171425980260120694532241915121087—13603601659663443325211614119—25106603001751158160463629232016—30108028013073473324191512108——15003901751006546332521161311——276072033018512084614736282219——351160300135754833241915129———160041018510567463325201612———2960750340190125856146352721———40121031013576483324181411————1670420190105674633241914————30807803501951258460443325————451230310135754732221713—————17104301901056544312217—————314079035019012081574130—————5012303101357345302115——————171042018510063412921——————3140780340185115765237——————

附表19（2）　两样本率比较时所需样本含量（双侧）

上行：α=0.05,1-β=0.80

中行：α=0.05,1-β=0.90

下行：α=0.01,1-β=0.95

较小率

（%）δ=两组率之差（%）5101520253035404550556065705420130694431242016141210997570175935942322521181513111099603001551071544234282421191614106801959659413023191613111097910260130795440312421181513111015504402201359268524134282321181515910250120714834262117141210981220330160956446352722191613111020605602701601107859473731252119162010902901358053382822181513109714603901851057151382923201614111024706603101801208664504032262119152512503301508857403023191513109—1680440200115775440312420161311—28407403402001309268524132262118—301380360160936042312319151210——18404802201258056413124201613——312081037021013595695341322521——3514703801709661423123181411———197050022513082574131231915———3340850380215140966952403123———40153039017597614230221713————2050520230130825640292218————34808803902201409568503728————451560390175966040282116—————21005202301308054382721—————355089039021513592644734—————5015603901709357382619——————210052022512577513524——————3550880380210130865941——————

附表20　配对比较（t检验）时所需样本含量

单侧：α=0.005

双侧：α=0.01单侧：α=0.01

双侧：α=0.02单侧：α=0.025

双侧：α=0.05单侧：α=0.05

双侧：α=0.1δ

1-β=0.990.950.90.80.50.990.950.90.30.50.990.950.90.80.50.990.950.90.80.5

0.05　　　　　　　　　　　　　　　　　　　0.050.10　　　　　　　　　　　　　　　　　　　0.100.15　　　　　　　　　　　　　　　　　　1220.150.20　　　　　　　　139　　　　99　　　　700.200.25　　　110　　　　90　　　12864　　139101450.250.30　　　13478　　　11563　　1199045　1229771320.300.35　　1259958　　1098547　109886734　907252240.350.40　115977745　10185663711784685126101705540190.400.45　9277623711081685330936754412180554433150.450.50100756351309066554325765444341865453627130.500.5583635342267555463621634537281554383022110.550.607153453622634739311853383224134632261990.600.656146393120554134271646332721123928221780.650.705340342817473530241440292419103424191580.700.75473630251642312721133526211693021171370.750.80413227221437232419123122191592719151260.800.85372924201333252417112821171382417141160.850.90342622181229231916102519161272115131050.900.953124201711272118149231714117191411950.951.002822191610251916139211613106181311851.001.124191614921161412818131196151197　1.11.221161412818141210715121085131086　1.21.318151311816131196141097　11876　1.31.41613121071411109612987　10875　1.41.515121197131098611876　976　　1.51.613111086121097510876　866　　1.61.7121098610987　9765　865　　1.71.8121098610877　876　　76　　　1.81.911987610876　866　　75　　　1.92.01088759776　765　　6　　　　2.02.110877　8766　76　　　6　　　　2.12.29876　8765　76　　　6　　　　2.22.39776　866　　65　　　5　　　　2.32.48776　766　　6　　　　　　　　　2.42.58766　766　　6　　　　　　　　　2.53.07665　655　　5　　　　　　　　　3.03.5655　5　　　　　　　　　　　　　　3.54.06　　　　　　　　　　　　　　　　　　4.0　　　　　　　　　　　　　　　　　　　　　　　

附表　21两样本均数（t检验）时所需样本含量

δ单侧：α=0.005

双侧：α=0.01单侧：α=0.005

双侧：α=0.01

单侧：α=0.005

双侧：α=0.01单侧：α=0.005

双侧：α=0.01δ1-β=0.990.950.90.80.50.990.950.90.80.50.　90.950.90.80.50.990.950.90.80.50.05　　　　　　　　　　　　　　　　　　　　0.050.10　　　　　　　　　　　　　　　　　　　　0.100.15　　　　　　　　　　　　　　　　　　　　0.150.20　　　　　　　　　　　　　　　　　　　1370.200.25　　　　　　　　　　　　　　124　　　　880.250.30　　　　　　　　　123　　　　87　　　　610.300.35　　　　110　　　　90　　　　64　　　102450.350.40　　　　85　　　　70　　　10050　　10878350.400.45　　　11868　　　10155　　1057939　1088662280.450.50　　　9655　　1068245　106866432　887051230.500.55　　1017946　106886838　87715327112735842190.550.60　101856739　907458321047460452389614936160.600.65　8773573410477644927886351392076524230140.650.70100756350299066554324765544341766453626120.700.7588665544267958483821674839291557403223110.750.8077584939237051433319594234261450352821100.800.856951433521624638301752373123124531251890.850.906246393119554134271547342721114028221680.900.955542352817503731241442302519103625201570.951.00503832261545332822133827231793323181471.001.1423227221338282319113223191482719151261.11.236272318113224201692720161272316131051.21.33123201610282117148231714116201411951.31.4272017149241815128201512106171210841.41.52418151382116141171813119515119741.51.62116141171914121061612108514108641.61.71915131071713119614119741297631.71.817131110615121085131086411875　1.81.916121196141198512976410765　1.92.01411108613109751187649764　2.02.113109851298751086538654　2.12.212108751197649765　8654　2.22.31198751087649765　7554　2.32.41198651087648654　7544　2.42.5108764976548654　6543　2.53.086654765436544　543　　3.03.5655436544　5443　43　　　3.54.06644　5443　443　　4　　　　4.0