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

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

13.6高小高中90
25.2初中初中110
34.6初中高中113
42.2初中高中97
53.4中专初中120
62.2中专初中100
74.7高中中专117
84.7高中初中100
95.3高中初中97
105.0高中高中103
111.8高中高中93
122.0高中高中123
133.3高中初中83
141.8高中高中93
154.8大专初中100
164.5大专高中100
175.1大专高中100
184.2大专初中83
192.3大专初中107
202.5大专高中117
216.6大专大专100
223.0大专中专117
236.3大学大学113
244.0大学中专103
254.1大学大学93
265.0大学初中90
275.1大学中专107
281.6大学大专113
294.3大学中专90
304.4大学高中97
314.4大学大学110
322.2初中初中118
333.6初中高中73
344.8初中初中113
355.4初中初中90
365.7初中初中113
376.2初中y高中117
386.2初中初中110
393.2中专大学100
405.4中专初中97
412.7中专大专103
423.8高中高中110
433.1高中高中120
445.4高中高中93
455.6大专大专90
466.6大专高小63
471.9大学高中133
483.7大学高中93
493.1大学初中100
505.5大学中专93
513.7初中高中80
523.1初中初中93
535.2初中初中90
544.7初中初中107
554.7初中初中77
566.2初中高小90
576.2初中初中100
583.3高中初中100
591.1高中高中93
602.0大专大专100
615.4高小高小73
626.2高小初中50
635.5初中初中63
645.6初中初中60
655.7初中初中67
662.2初中高中90
672.3初中初中90
682.4初中初中113
692.2初中初中90
702.7初中高中110
713.0初中高中60
721.6初中高中110
736.7初中初中100
746.9初中高小43
753.1初中初中60
764.1初中初中90
775.3初中初中60
783.4初中高中73
793.6初中初中90
803.6初中初中87
814.8初中初中93
824.0初中初中93
834.5初中初中80
844.2初中高小77
854.3初中高中83
864.4初中初中60
874.4初中初中73
884.6初中高中70
895.1初中初中77
905.1初中高中63
915.1初中高中57
925.1初中初中68
935.4中专高中93
944.8高中高中67
955.4高中初中93
963.8高中初中63
973.2高中高中77
981.2高中初中127
991.9高中初中110
1002.2高中高小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

综合练习题

n'P
0.9950.9900.9750.9500.9000.7500.5000.2500.1000.0500.0250.0100.005
10.020.100.451.322.713.845.026.637.88
20.010.020.020.100.210.581.392.774.615.997.389.2110.60
30.070.110.220.350.581.212.374.116.257.819.3511.3412.84
40.210.300.480.711.061.923.365.397.789.4911.1413.2814.86
50.410.550.831.151.612.674.356.639.2411.0712.8315.0916.75
60.680.871.241.642.203.455.357.8410.6412.5914.4516.8118.55
70.991.241.692.172.834.256.359.0412.0214.0716.0118.4820.28
81.341.652.182.733.405.077.3410.2213.3615.5117.5320.0921.96
91.732.092.703.334.175.908.3411.3914.6816.9219.0221.6723.59
102.162.563.253.944.876.749.3412.5515.9918.3120.4823.2125.19
112.603.053.824.575.587.5810.3413.7017.2819.6821.9224.7226.76
123.073.574.405.236.308.4411.3414.8518.5521.0323.3426.2228.30
133.574.115.015.897.049.3012.3415.9819.8122.3624.7427.6929.82
144.074.665.636.577.7910.1713.3417.1221.0623.6826.1229.1431.32
154.605.236.277.268.5511.0414.3418.2522.3125.0027.4930.5832.80
165.145.816.917.969.3111.9115.3419.3723.5426.3028.8532.0034.27
175.706.417.568.6710.0912.7916.3420.4924.7727.5930.1933.4135.72
186.267.018.239.3910.8613.6817.3421.6025.9928.8731.5334.8137.16
196.847.638.9110.1211.6514.5618.3422.7227.2030.1432.8536.1938.58
207.438.269.5910.8512.4415.4519.3423.8328.4131.4134.1737.5740.00
218.038.9010.2811.5913.2416.3420.3424.9329.6232.6735.4838.9341.40
228.649.5410.9812.3414.0417.2421.3426.0430.8133.9236.7840.2942.80
239.2610.2011.6913.0914.8518.1422.3427.1432.0135.1738.0841.6444.18
249.8910.8612.4013.8515.6619.0423.3428.2433.2036.4239.3642.9845.56
2510.5211.5213.1214.6116.4719.9424.3429.3434.3837.6540.6544.3146.93
2611.1612.2013.8415.3817.2920.8425.3430.4335.5638.8941.9245.6448.29
2711.8112.8814.5716.1518.1121.7526.3431.5336.7440.1143.1946.9649.64
2812.4613.5615.3116.9318.9422.6627.3432.6237.9241.3444.4648.2850.99
2913.1214.2616.0517.7119.7723.5728.3433.7139.0942.5645.7249.5952.34
3013.7914.9516.7918.4920.6024.4829.3434.8040.2643.7746.9850.8953.67
4020.7122.1624.4326.5129.0533.6639.3445.6251.8055.7659.3463.6966.77
5027.9929.7132.3634.7637.6942.9449.3356.3363.1767.5071.4276.1579.49
6035.5337.4840.4843.1946.4652.2959.3366.9874.4079.0883.3088.3891.95
7043.2845.4448.7651.7455.3361.7069.3377.5885.5390.5395.02100.42104.22
8051.1753.5457.1560.3964.2871.1479.3388.1396.58101.88106.63112.33116.32
9059.2061.7565.6569.1373.2980.6289.3398.64107.56113.14118.14124.12128.30
10067.3370.0674.2277.9382.3690.1399.33109.14118.50124.34129.56135.81140.17

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

综合练习题

u0123456789
0.0.0000.0040.0080.0120.0160.0199.0239.0276.0319.0359
0.1.0398.0438.0478.0517.0557.0596.0636.0675.0714.0754
0.2.0793.0832.0871.0910.0948.0987.1026.1064.1103.1141
0.3.1179.1217.1255.1293.1331.1368.1406.1443.1480.1517
0.4.1554.1591.1628.1664.1700.1736.1772.1808.1844.1879
0.5.1915.1950.1985.2019.2054.2088.2123.2157.2190.2224
0.6.2258.2291.2324.2357.2389.2422.2454.2486.2518.2549
0.7.2580.2612.2642.2673.2704.2734.2764.2794.2823.2852
0.8.2881.2910.2939.2967.2996.3023.3051.3078.3106.3133
0.9.3159.3186.3212.3238.3264.3289.3316.3340.3365.3389
1.0.3413.3438.3461.3485.3508.3531.3554.3577.3599.3621
1.1.3643.3665.3686.3708.3729.3749.3770.3790.3810.3830
1.2.3849.3869.3888.3907.3925.3944.3962.3980.3997.4015
1.3.4032.4049.4066.4082.4099.4115.4131.4147.4162.4177
1.4.4192.4207.4222.4236.4251.4265.4270.4292.4306.4319
1.5.4332.4345.4357.4370.4382.4394.4406.4418.4429.4441
1.6.4452.4463.4474.4484.4495.4505.4515.4525.4535.4545
1.7.4554.4564.4573.4582.4591.4599.4608.4616.4625.4633
1.8.4641.4649.4656.4664.4671.4678.4686.4693.4699.4706
1.9.4713.4719.4726.4732.4733.4744.4750.4756.4761.4767
2.0.4772.4778.4783.4788.4793.4798.4803.4808.4812.4817
2.1.4821.4826.4830.4834.4838.4842.4846.4850.4854.4857
2.2.4861.4864.4868.4871.4875.4878.4881.4884.4887.4890
2.3.4893.4896.4898.4901.4904.4906.4909.4911.4913.4916
2.4.4918.4920.4922.4925.4927.4929.4931.4932.4934.4936
2.5.4938.4940.4941.4943.4945.4946.4948.4949.4951.4952
2.6.4953.4955.4956.4957.4959.4960.4961.4962.4963.4964
2.7.4965.4966.4967.4968.4960.4970.4971.4972.4973.4974
2.8.4974.4975.4976.4977.4977.4978.4979.4979.4980.4981
2.9.4981.4982.4982.4983.4984.4984.4985.4985.4986.4986
3.0.4987.4987.4987.4988.4998.4989.4989.4989.4990.4990
3.1.4990.4991.4991.4991.4992.4992.4992.4992.4993.4993
3.2.4993.4993.4994.4994.4994.4994.4994.4995.4995.4995
3.3.4995.4995.4995.4996.4996.4996.4996.4996.4996.4997
3.4.4997.4997.4997.4997.4997.4997.4907.4997.4997.4998
3.5.4998.4998.4998.4998.4998.4998.4998.4998.4998.4998
3.6.4998.4998.4999.4999.4999.4999.4999.4999.4999.4999
3.7.4999.4999.4999.4999.4999.4999.4999.4999.4999.4999
3.8.4999.4999.4999.4999.4999.4999.4999.4999.4999.4999
3.9.5000.5000.5000.5000.5000.5000.5000.5000.5000.5000

附表3 t值表

综合练习题

n’P(2):

P(1):

0.50

0.25

0.20

0.10

0.10

0.05

0.05

0.025

0.02

0.01

0.01

0.005

0.005

0.0025

0.002

0.001

0.001

0.0005

1 1.0003.0786.31412.70631.82163.657127.321318.309636.619
2 0.8161.8862.9204.3036.9659.92514.08922.32731.599
3 0.7651.6382.3533.1824.5415.8417.45310.21512.924
4 0.7411.5332.1322.7763.7474.6045.5987.1738.610
5 0.7271.4762.0152.5713.3654.0324.7735.8936.869
6 0.7181.4401.9432.4473.1433.7074.3175.2085.959
7 0.7111.4151.8952.3652.9983.4994.0294.7855.408
8 0.7061.3971.8602.3062.8963.3553.8334.5015.041
9 0.7031.3831.8332.2622.8213.2503.6904.2974.781
10 0.7001.3721.8122.2282.7643.1693.5814.1444.587
11 0.6971.3631.7962.2012.7183.1063.4974.0254.437
12 0.6951.3561.7822.1792.6813.0553.4283.9304.318
13 0.6941.3501.7712.1602.6503.0123.3723.8524.221
14 0.6921.3451.7612.1452.6242.9773.3263.7874.140
15 0.6911.3411.7532.1312.6022.9473.2863.7334.073
16 0.6901.3371.7462.1202.5832.9213.2523.6864.015
17 0.6891.3331.7402.1102.5672.8983.2223.6463.965
18 0.6881.3301.7342.1012.5522.8783.1973.6103.922
19 0.6881.3281.7292.0932.5392.8613.1743.5793.883
20 0.6871.3251.7252.0862.5282.8453.1533.5523.850
21 0.6861.3231.7212.0802.5182.8313.1353.5273.819
22 0.6861.3211.7172.0742.5082.8193.1193.5053.792
23 0.6851.3191.7142.0692.5002.8073.1043.4853.768
24 0.6851.3181.7112.0642.4922.7973.0913.4673.745
25 0.6841.3161.7082.0602.4852.7873.0783.4503.725
26 0.6841.3151.7062.0562.4792.7793.0673.4353.707
27 0.6841.3141.7032.0522.4732.7713.0573.4213.690
28 0.6831.3131.7012.0482.4672.7633.0473.4083.674
29 0.6831.3111.6992.0452.4622.7563.0383.3963.659
30 0.6831.3101.6972.0422.4572.7503.0303.3853.646
31 0.6821.3091.6962.0402.4532.7443.0223.3753.633
32 0.6821.3091.6942.0372.4492.7383.0153.3653.622
33 0.6821.3081.6922.0352.4452.7333.0083.3563.611
34 0.6821.3071.0912.0322.4412.7283.0023.3483.601
35 0.6821.3061.6902.0302.4382.7242.9963.3403.591
36 0.6811.3061.6882.0282.4342.7192.9903.3333.582
37 0.6811.3051.6872.0262.4312.7152.9853.3263.574
38 0.6811.3041.6862.0242.4292.7122.9803.3193.566
39 0.6811.3041.6852.0232.4262.7082.9763.3133.558
40 0.6811.3031.6842.0212.4232.7042.9713.3073.551
50 0.6791.2991.6762.0092.4032.6782.9373.2613.496
60 0.6791.2961.6712.0002.3902.6602.9153.2323.460
70 0.6781.2941.6671.9942.3812.6482.8993.2113.436
80 0.6781.2921.6641.9902.3742.6392.8873.1953.416
90 0.6771.2911.6621.9872.3682.6322.8783.1833.402
100 0.6771.2901.6601.9842.3642.6262.8713.1743.390
200 0.6761.2861.6531.9722.3452.6012.8393.1313.340
500 0.6751.2831.6481.9652.3342.5862.8203.1073.310
1000 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,n
1015203010152030
0031022017020041030023016
1045032025017054040032022
2356240131122165149139028
3765448338227424256245132
41274855644431881563451336
5198112629496351387869656440
626881668125483919921274861644
73593217315591043269616791166848
844972779196412463599218415701052
95510032842368155046100268818741255
106910038882773175359100319222781458
11  459232772056  379526821662
12  529636812360  449830851865
13  609841852563  519934892168
14  6810046882866  6010039922471
15  7810051913169  7010044942674
16    56943472    49962976
17    62973775    55983279
18    69994077    61993582
19    751004480    681003884
20    831004783    771004286
21      5085      4588
22      5488      4890
23      5790      5292
24      6192      5694
25      6594      6096
26      6996      6497
27      7398      6899
28      7899      72100
29      83100      78100
30      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

in
2345678910
10.70710.70710.68720.66460.64310.62330.60520.58880.5739
20.00000.16770.24130.28060.30310.31640.32440.3291
30.00000.08750.14010.17430.19760.2141
40.00000.05610.09470.1224
50.00000.0399
 

n

11121314151617181920 
10.56010.54750.53590.52510.51500.50560.49680.48860.48080.4734
20.33150.33250.33250.33180.33060.32900.32730.32530.32320.3211
30.22600.23470.24120.24600.24950.25210.25400.25530.25610.2565
40.14290.15860.17070.18020.18780.19390.19880.20270.20590.2085
50.06950.09220.10990.12400.13530.14470.15240.15870.16410.1686
60.00000.03030.05390.07270.08800.10050.11090.11970.12710.1334
70.00000.02400.04330.05930.07250.08370.09320.1013
80.00000.01960.03590.04960.06120.0711
90.00000.01630.03030.0422
100.00000.0140

i

n

21222324252627282930
10.46430.45900.45420.44930.44500.44070.43660.43280.42910.4254
20.31580.31560.31260.30980.30690.30430.30180.29920.29680.2944
30.25780.25710.25630.25540.25430.25330.25220.25100.24990.2487
40.21190.21310.21390.21450.21480.21510.21520.21510.21500.2148
50.17360.17640.17870.18070.18220.18360.18480.18570.18640.1870
60.13990.14430.14800.15120.15390.15630.15840.16010.16160.1630
70.10920.11500.12010.12450.12830.13160.13460.13720.13950.1415
80.08040.08780.09410.09970.10460.10890.11280.11620.11920.1219
90.05300.06180.06960.07640.08230.08760.09230.09650.10020.1036
100.02630.03680.04590.05390.06100.06720.07280.07780.08220.0862
110.00000.01220.02280.03210.04030.04760.05400.05980.06500.0697
120.00000.01070.02000.02840.03580.04240.04830.0537
130.00000.00940.01780.02530.03200.0381
140.00000.00840.01590.0227
150.00000.0076

i

n
31323334353637383940
10.42200.41880.41560.41270.40960.40680.40400.40150.39890.3964
20.29210.28290.28760.28540.28340.28130.27940.27740.27550.2737
30.24750.24630.24510.24390.24270.24150.24030.23910.23800.2368
40.21450.21410.21370.21320.21270.21210.21160.21100.21040.2098
50.18740.18780.18800.18820.18830.18830.18830.18810.18800.1878
60.16410.16510.16600.16670.16730.16780.16830.16860.16890.1691
70.14330.14490.14630.14750.14870.14960.15050.15130.15200.1526
80.12430.12650.12840.13010.13170.13310.13440.13560.13660.1376
90.10660.10930.11180.11400.11600.11790.11960.12110.12250.1237
100.08990.09310.09610.09880.10130.10360.10560.10750.10920.1108
110.07390.07770.08120.08440.08730.09000.09240.09470.09670.0986
120.05850.06290.06690.07060.07390.07700.07980.08240.08480.0870
130.04350.04850.05300.05720.06100.06450.06770.07060.07330.0759
140.02890.03440.03950.04410.04840.05230.05590.05920.06220.0651
150.01440.02060.02620.03140.03610.04040.04440.04810.05150.0546
160.00000.00680.01310.01870.02390.02870.03310.03720.04090.0444
170.00000.00620.01190.01720.02200.02640.03050.0343
180.00000.00570.01100.01580.02030.0244
190.00000.00530.01010.0146
200.00000.0049
 n
41424344454647484950 
10.39400.39170.38940.38720.38500.38300.38080.37890.37700.3751
20.27190.27010.26840.26670.26510.26350.26200.26040.25890.2574
30.23570.23450.23340.23230.23130.23020.22910.22810.22710.2260
40.20910.20850.20780.20720.20650.20580.20520.20450.20380.2032
50.18760.18740.18710.18680.18650.18620.18590.18550.18510.1847
60.16930.16940.16950.16950.16950.16950.16950.16930.16920.1691
70.15310.15350.15390.15420.15450.15480.15500.15510.15530.1554
80.13840.13920.13980.14050.14100.14150.14200.14230.14270.1430
90.12490.12590.12690.12780.12860.12930.13000.13060.13120.1317
100.11230.11360.11490.11600.11700.11800.11890.11970.12050.1212
110.10040.10200.10350.10490.10620.10730.10850.10950.11050.1113
120.08910.09090.09270.09430.09590.09720.09860.09980.10100.1020
130.07820.08040.08240.08420.08600.08760.08920.09060.09190.0932
140.06770.07010.07240.07450.07650.07830.08010.08170.08320.0846
150.05750.06020.06280.06510.06730.06940.07130.07310.07480.0764
160.04760.05060.05340.05600.05840.06070.06280.06480.06670.0685
170.03790.04110.04420.04710.04970.05220.05460.05680.05880.0608
180.02830.03180.03520.03830.04120.04390.04650.04890.05110.0532
190.01880.02270.02630.02960.03280.03570.03850.04110.04360.0459
200.00940.01360.01750.02110.02450.02770.03070.03350.03610.0386
210.00000.00450.00870.01260.01630.01970.02290.02590.02880.0314
220.00000.00420.00810.01180.01530.01850.02150.0244
230.00000.00390.00760.01110.01430.0174
240.00000.00370.00710.0104
250.00000.0035
                   

附表6 W检验界值表

n34567891011121314
α=10.0%0.7870.7920.8060.8260.8380.8510.8590.8690.8760.8830.8890.895
α=5.0%0.7670.7480.7620.7880.8030.8180.8290.8420.8500.8590.8660.874
α=1.0%0.7530.6870.6860.7130.7300.7490.7640.7810.7920.8050.8140.825
n151617181920212223242526
α=10.0%0.9010.9060.9100.9140.9170.9200.9230.9260.9280.9300.9310.933
α=5.0%0.8810.8870.8920.8970.9010.9050.9080.9110.9140.9160.9180.920
α=1.0%0.8350.8440.8510.8580.8630.8680.8730.8780.8810.8840.8880.891
n272829303132333435363738
α=1.00%0.9350.9360.9370.9300.9400.9410.9420.9430.9440.9450.9460.947
α=5.0%0.9230.9240.9260.9270.9290.9300.9310.9330.9340.9350.9360.938
α=1.0%0.8940.8960.8980.9000.9020.9040.9060.9080.9100.9120.9140.916
n394041424344454647484950
α=10.0%0.9480.9490.9500.9510.9510.9520.9530.9530.9540.9540.9550.955
α=5.0%0.9390.9400.9410.9420.9430.9440.9450.9450.9460.9470.9470.947
α=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)

rˊ(较大均方的自由度)n2ˊ
2345678910121520306000
17993648999229379489579639699779859931001101010181
239.039.239.239.339.339.339.439.439.439.439.439.439.539.539.52
310.015.415.114.914.714.614.514.514.414.314.214.214.114.013.93
410.69.989.609.369.209.078.988.908.848.758.668.568.468.368.264
58.437.767.397.166.986.856.766.686.626.526.436.336.236.126.015
67.266.605.235.995.825.695.605.525.465.375.275.175.064.964.856
76.545.895.525.285.124.994.904.824.764.674.574.474.364.254.147
86.065.425.054.824.654.534.434.364.294.204.104.003.893.783.678
95.715.084.724.484.324.204.104.033.963.873.773.673.563.453.339
105.464.834.474.244.073.953.853.783.723.623.523.423.313.203.0810
115.264.634.274.043.883.763.663.593.533.433.333.233.123.002.8811
125.104.474.123.893.733.613.513.443.373.283.183.072.962.852.7212
134.964.354.003.773.603.483.393.313.253.153.052.952.842.722.5913
144.864.243.893.663.503.383.283.213.153.052.952.842.732.612.4914
154.764.153.803.583.413.293.203.123.062.962.862.762.642.522.3915
164.694.083.733.503.343.223.123.052.992.892.792.682.572.452.3216
174.624.013.663.443.283.163.062.982.922.822.722.622.502.382.2517
184.563.953.613.383.223.103.002.932.872.772.672.562.442.322.1918
194.513.903.563.333.173.052.962.882.822.722.622.512.392.272.1319
204.463.863.513.293.133.012.912.842.772.682.572.462.352.222.0820
214.423.823.473.253.092.972.872.802.732.642.532.422.312.182.0421
224.383.733.443.213.052.932.842.762.702.602.502.392.272.142.0022
234.353.753.413.183.022.902.812.732.672.572.472.362.242.111.9723
244.323.723.383.152.992.872.782.702.642.542.442.332.212.081.9324
254.293.693.353.132.972.852.752.682.612.512.412.302.182.051.9125
264.263.673.333.102.942.822.732.652.592.492.392.282.162.031.8826
274.243.653.313.082.922.802.712.632.572.472.362.252.132.001.8527
284.223.633.293.062.902.782.692.612.552.452.342.232.111.981.8328
294.203.613.273.042.882.762.672.592.532.432.322.212.091.961.8129
304.183.593.253.032.872.752.652.572.512.412.312.192.071.941.7930
314.163.573.233.012.852.732.632.562.492.402.292.182.061.921.7731
324.153.563.222.992.842.712.622.542.482.382.272.162.041.901.7532
334.133.543.202.982.822.702.612.532.472.372.262.152.031.891.7333
344.123.533.192.972.812.692.592.522.452.352.252.132.011.871.7234
354.113.523.182.962.802.682.582.502.442.342.232.122.001.861.7035
364.093.503.172.942.782.662.572.492.432.332.222.111.991.851.6936
374.083.493.162.932.772.652.562.482.422.322.212.101.971.841.6737
384.073.483.142.922.762.642.552.472.412.312.202.091.961.821.6638
394.063.473.132.912.752.632.542.462.402.302.192.081.951.811.6539
404.053.463.132.902.742.622.532.452.392.292.182.071.941.801.6440
424.033.453.112.892.732.612.512.432.372.272.162.051.921.781.6142
444.023.433.092.872.712.592.502.422.352.252.152.031.911.771.6044
464.003.413.082.862.702.582.482.402.342.242.132.021.891.751.5846
483.993.403.072.842.682.562.472.392.332.232.122.011.881.731.5648
503.973.393.052.832.672.562.462.382.322.222.111.991.871.721.5450
603.923.343.012.792.632.512.412.332.272.172.061.941.811.671.4860
803.863.282.952.732.572.452.352.282.212.112.001.881.751.601.4080
1203.803.232.892.672.512.392.302.222.162.051.941.821.691.531.31120
2403.753.172.842.622.462.342.242.172.102.001.891.771.631.461.20240
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)

综合练习题

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)

综合练习题

P=0.01

21(较大均方的自由度)2
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

2n'2(较大均方的自由度)2
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

综合练习题

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
123123123412341234
231312214334124321
312231341243212143
 432121433412
5×5
12345123451234512345
23451345124512351234
34512512342345145123
45123234515123434512
51234451233451223451
7×7
123456712345671234567
234567134567124567123
345671256712347123456
456712371234563456712
567123423456716712345
671234545671232345671
712345667123455671234
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=0.01
60163020
72173523
840184028
962194632
1083205238
11115215943
12147226649
131710237355
142113248161
152516258968

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n
23456789101112131415
40.05  10           
0.01             
50.05 61117          
0.01 15          
60.05 7121826         
0.01 101623         
70.05 713202736        
0.01 10172432        
80.05381421293849       
0.011117253443       
90.0538152231405163      
0.016111826354556      
100.053915233242536578     
0.01612192737475871     
110.05491624344455688196    
0.0161220283849617487    
120.054101726354658718599115   
0.0171321304051637690106   
130.0541018273748607388103119137  
0.0171422314153657993109125  
140.0541119283850637691106123141160 
0.0171422324354678196112129147 
150.0541120294052657994110127145164185
0.0181523334456708499115133151171
160.0541221314254678297114131150169 
0.01815243446587286102119137155 
170.05512213243567084100117135154  
0.01816253647607489105122140  
180.05513223345587287103121139   
0.01816263749627692108125   
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

Nn1n2n3H0.05H0.01Nn1n2n3H0.05H0.01
73224.71 5325.256.82
3315.14 5414.996.95
83325.36 

11

4435.607.14
4225.33 5335.657.08
4315.20 5425.277.12
5215.00 5515.137.31

9

3335.607.20124445.697.65
4325.446.305435.637.44
4414.976.675525.347.27
5225.166.53135445.627.76
5314.966.405535.717.54
104335.726.75145545.647.79
4425.457.04155555.787.98

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
H0.05H0.01H0.05H0.01
2--6.00-
36.00-7.409.00
46.508.007.809.60
56.408.407.809.96
67.009.007.6010.20
77.148.867.8010.37
86.259.00  
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

nrs0.05rs0.01nrs0.05rs0.01
60.8861.000310.3560.459
70.7860.929320.3500.452
80.7380.881330.3450.446
90.7000.833340.3400.439
100.6480.794350.3350.433
110.6180.755360.3300.427
120.5870.727370.3250.421
130.5600.703380.3210.415
140.5380.679390.3170.410
150.5210.654400.3130.405
160.5030.635410.3090.400
170.4850.615420.3050.395
180.4720.600430.3010.391
190.4600.584440.2980.386
200.4470.570450.2940.382
210.4350.556460.2910.378
220.4250.544470.2880.374
230.4150.532480.2850.370
240.4060.521490.2820.366
250.3980.511500.2970.363
260.3900.501   
270.3820.491   
280.3750.483   
290.3680.475   
300.3620.467   

附表17(1) 随机数字表

编号12356678910111213141516171819202122232425
103474373863696473661469863716233261680456011141095
297742467624281145720425332373227073607512451798973
316766227665650267107329079785313553858598897541410
412568599269696682731050372931557121014218826498176
555595635643854824622316243099006184432532383013030
616227794394954435482173793237887352096438426349164
784421753315724550688770474476721763350258392120676
863016378591695556719981050717512867358074439523879
933211234297864560782524207443815510013429966027954
1057608632440947279654491746096290528477270802734328
1118180792464417165809798386196206765003105523640505
1226623897758416074499831146322420148588451093728871
1323424064748297777781074532140832989407729385791075
1452362819955092261197005676313880220253538660420453
1537859435128339500830423407968854420687983585294839
1670291712134033203826138951037417763713040774211930
1756621837359683508775971225934770332403549777464480
1899495722778842954572166436160004431866799477242190
1916081504723327143409455934684912720734459927729514
2031169332435027898719201537004952856660443868881180
2168343013705574307740442278842604334609526807970657
2274572565765929976860719138675413581824761554559552
2327423786534855906572965769361096469242459760490491
2400396829616637322030778457032910456504261104966724
2529949894246849691082537591933034252057274048735192
2616908266598362641112671900717460472129680202370331
2711279475060609197466029437340276709030863845943038
2835241016203332512638797845049116925356160275509598
2938231686384238970150877566814140017491624851840832
3031962591479644334913348682539100524348852755268962
3166674067146405719586110565096876832037905716001166
3214908445117573880590522741148622981222080752749580
3368055118003396027519076062935559338243904937384459
3420467873909751401402040233310839541649364795931330
3564195897791506159320019010750640787389620267741733
3605269370602235851513920351597759567806835291057074
3707971088230998429964617162991506512916935805770951
3868718685855487664754733208111244959263162956242948
3926996165535837788070421050674232175585749444671694
4014655268758759362241267863065513082701501529393943
4117537758717141615072124194962644952736990296743083
4290265921192352233312969302183907021836072599327023
4341235255993104496996104748458813414389209717144917
4460205081693199736868358133037624301248601899107234
4591253805909458284136453759030990355729128262546560
4634505774379880330091097793198274948004044507316649
4785220439437381539479336246862808315446315394133847
4809791377487382972221050327248372894405603580399488
4988758018142295754249393282224902480770371604616787
5090962370003900030690558578383694373069329089007633

附表17(2)随机数字表

编号12356678910111213141516171819202122232425
153742399676132286984946267862498334119954753533809
263380686549900652694028290230779626780607591128119
335305821460672171094252131759649282400495565797807
463433682696551183788613844124532928588655434818535
598253755260191828146747112949724027137070392186675
602632117697150808956381570114843404586980083269103
764552221824822280600615413439182781223290666241227
885072613890110078204596369360369111583801329541928
958541624155154448200626165046938186518978572134921
1034852784876148645626901848132637701542576565803907
1103921827465799169656303372852284643856989901309864
1262953027593775416648869780614523530401634576086427
1308459315226021754691987727854228886108846962034273
1407085518404544751390249496610257556683157342371161
1501858995665110193488158497197512763943786463910825
1672847114351911584926501117177686315720189560784675
1788782816841352539453754569309673896570319917434876
1845177565572840197212251274756760406081192462016116
1996762812542201119425719616168868643674451959608892
2043316772302402940863383236660269363825394803451522
2150446644216606580562631554350242354896321452415248
2222662215862663754199584236722458375218510337183911
2396244014512322308857956747298394694006071816367886
2431739161196020729348985707236965953969585680301944
2578607399844389943645566947074190229107127835340872
2684379061567010239805851134766076484534600164183996
2736671008239893350886992976298133349158936314523252
2807285907488964588975838562278930147856278663598002
2910158387607924316656214824069391989405490147593800
3055196897650373521656005355902733422938872213888334
3153812913393501207134623374821453731909035654295693
3251863268923398746699401471945845941938811444998107
3335917029138003540727969478326650955274331380556254
3437716795132002449594648504057201329076145389746041
3593661383279279646472285496538448145298945607938930
3602960845651305004184930754725921455709771948562744
3749834348358288336996723604197647451518608211089597
3884607162464080813037343923053825153571308812572177
3918173088714491148847892330631556342047899982932498
4079691061787132769562870022584092540175254311719931
4175933657835620148211742197906596426863867454132694
4238309229030628813938622506846361290893670432920809
4351295010343157759580519702747776154849441855637709
4421313886243779815374732416103352839094767047145436
4529012387825802393767421014209216552342455496091106
4695339522001874720018387958693281768026928280842539
4790846079802436598738820753893596352379180598900735
4846406298825497205695157480083216467050806772164279
4920318903433846826872321482997080604718976349302130
5071597305500822237177910193204982965926946639679860

附表17(3) 随机数字表

编号12356678910111213141516171819202122232425
122176865846895239235870222575161094395065824820347
219362759461379933755397732770985520530624783516274
316772302770961872521280624259316711359782305474725
478437671612044903264976763996146380393226981219921
503282826087337320405693016090588695828993507447547
693225364390710637635870304798808131385515534577269
778765854749238709692520679794582631827446966921909
823683526009953936128527005483456650561869092107080
915392570999386527765153359052822872607478696982906
1058719630241846233427851399244449180979497416322302
1157352733722453639409411076479144049549663960045981
1248508654482206347252822115652033299471111591291203
1361964895030716393366985610567977213027129049222362
1436938941262970836351997420523687094115099860160303
1518870042315790120207234737173154080188633941889210
1688565327593335726747773455457008182738901695867075
1709729584294941310670423806451864847331655253379715
1812968817316519690283607586906824641935515661873912
1985945724169209843876220027698529819478702194479012
2038644359939877876807915167624440980593782332654118
2153440942720041867979684722002035553151510083632255
2240766626845799999037366332085837401368978764810783
2302177918051259525702220790470328141130792069224098
2495178206533151109646920688077756115081694023725139
2535762242929611834480346835487733424090607396539786
2626291356418547046608347257591382438046153826617004
2777802075827282329990639573766389734499054867264313
2846406644529136744353308213540078456398355503366768
2937560818097753844647319118955824167411534410138557
3061656168663727473919848370074853214006719506798854
3193436964073418045235562709248661855383451990709900
3221966012991120994518481393553418377949906597382046
3395204797972737832871000641417445800939845167115249
3497862178731065819259587617149704766216171795704580
3569920634135971741732275510241923718213746352520141
3604311721563373991987267239276753775768936061972261
3761069803918714774396430065985045603301079899465047
3885938586887287086240160610892023213474977638032963
3921743247457396079452096590774725761619335305705330
4015695382807996235310653907162945330243700287404145
4102890804492021146886876393951711290195803514973533
4287181589798543017273086174516989743982159451334167
4398837194225997509952085285084087806165319151803244
4410085821667268492931898584460659731985236509297563
4547905610088802842783422972231966564565792071532025
4622856168904964928544164012898850144981060182774512
4767804379331283114116255819687077025400525343371526
4827625096727944614015145340653927315850281139033425
4933788087153830063821144747072654968753324036409676
5013139266994724495774222543021710971169849963223298

附表17(4) 随机数字表

编号12345678910111213141516171819202322232425
110275396237150543623543104829304141215092678254747
228415061886485272018833636055639716509629476621189
334214257025919189748803003309805246770078497508746
461817723238282115408532870589644073955434234433928
561151813541686202688907480550914539051175201630159
691762164644491133297753162665484803275775608257029
700977908063730285985535668534001743959733019998548
836461834947520802777789169160008431873686769613425
988989960506595794294936240899643564771664676296702
1004375987210502032417479781565192348601825551331291
1163620634419421785509727645169429958183837988019730
1278472353903441924571092370700712389279431485114723
1387686215435314365925544733701559244840355003429936
1447609210778859531152662569070448686471066165702212
1556888759416528046753957988373150410694768183171633
1602574586677343073448442687932977096167840669447775
1731541413174862119060681293642846247916761460255101
1828501643362897855899672252762324703654545928617196
1953296266500263455238676347547583247843209263134748
2045655826517696593872865745714644677614554488016212
2139653663707745855051741339352230533602954934887361
2273719816042918945123765194848679939638630858255894
2372205620117265710886795795139197487266480971172496
2475172699768937207001773161954626970573515333187287
2537486082298130153914483875932906873778484546008447
2668080280728371463049891795882902395603469774065617
2714239861677052850150018402784310629819411883994799
2849089621442527994128074108346619427439914196537872
2978370608436361624229396895109609242300625612807316
3037213417686896832356328460153144736734779115797458
3114200934048783075507765830836487292558848650600025
3258432806364952835114475691293405873106951245470909
3310436729708062800342108021388490563503094312744914
3444388839548697374422009501317617162956633878944981
3590695919518539528513072837076111163627037886720495
3641471025629705310361202636196268698695448495484645
3791941463197589114711315634190979579236591493878140
3880065418660918940619984007178122454484112462204231
3967727763488408315558243345775880456793827570160824
4059402413277926888630013160103953584770938581563938
4105903589950161169694507813693637685337317126350371
4244438069984668051482907850056277791357445960103966
4361813196820057256059467260187755661262110899556457
4442880710052498656321472161883227803021601092353612
4577943005392810990027127373991249995794829688571791
4678831976169411688426235420868523866699073637349209
4787765961814363646161657636959018482745682723653072
4891430596475578999524375585787801484119103519540773
4984977772730962066572371249036041152076275047022916
5087416076834488960780830583889673706681903056104859

附表17(5) 随机数字表

编号12345678910111213141516171819202122232425
128896587081350630423254757911352622419949167485710
230294365427866285580474641900855987810704992051207
395746260535157322227127272277744673223136795077630
401855496726686656460565975367546443363715450064475
510914696861983524753650051935130800519295623271903
605331808515178572617348796239589999339791128941552
704431337007968962660703983665662035586577755336202
805854025247352937050482147746317272751263596290045
984909065776399256902090403357819799507210284485197
1028555309488628300235713032064793742186334990216974
1189834069809796475997563324873617181690467527285213
1273209605689341699607975081795942371381839242850431
1310890776214024743642403304462435630231613459433696
1491502778370606162598177880368526417763377163949433
1503454466889781260389394667211798103933156163002592
1689415891636599599784901479615556168887603215996743
1713430097261691213241602266721731853369076849204329
1871710051726203892632352799182578120309705093193556
1919281500419227734038371105751698819937299220323967
2056383092304551946904008414363795663901092168409579
2139275289110081062848120805752603356305771381206758
2273132858010506422407606029999372937804360576015403
2381608451571268465589600971878970811095918379682066
2405629807850779266961678572374185797648236158870805
2562971629185216162356629580976332253403364884603765
2631136321081601925821487974737208648091380728666159
2797383534198984053447880931548897968601694613956596
2832117833825199984439127510603680663994974236311659
2981991337050812603923617384891826020437959618690630
3045740003056999472652480630001803302855596610714405
3111841369018891287950714214965598599601368877904559
3214661287225945270851856423854164720859446798366556
3340256787828427173037486949025898025058119539063563
3444489749436545534107148346741176666360089054336584
3541945406574828018384091121917397284474062230956972
3607121558849318318345545262299153585466054719639275
3764279043521826329683505845275714963964857387967623
3880718641034562634088356934109432225204746963218341
3927060809922622592827385822147924321238423356909257
4054689720543326740330742219134830280192495861522703
4102926568990553152670046922640704732574827835222188
4283525778629861704822685064557542703209605870614397
4382827631338513413810164761437783271970413478776025
4438613409490441660976205073409524779573204742806103
4501011188380310168224395820123982770218883311491516
4621661438285408180704921763367533141111789730536238
4732293069596850333147156488752704514161968662936671
4804592165473990898677468686888650091324915480677866
4938645007365650459425482848305160737303876847371084
5048335083535977645990589262501893094589061326988629

附表17(6) 随机数字表

编号12345678910111213141516171819202122232425
125196482846274299224610391224864946315076685120027
223024146044431524307440603093419839462944828015192
355856696282830625883656862424513086046289568455243
468451969593514825680220652263959789876143609030186
569314629851888269554010214030548002643853393811597
637316128989461470310678084412688845969147732828189
766421924941313386996766976241343831013241832848504
833657812359159113844233148757405300846329004935616
976320619352295301929577443209020253670693832110101
1043334202592039849561582204029999787883824367163895
1128319343948773193847543690981083433226262200905922
1297192163346933170302111550460842696017421468611448
1382803714205639598963339038445078228710880658873967
1403680313606413093711860257419931666065640303025897
1565165811019878806323073766205620960679803339404942
1624655857041862852824264517827639650173915037493873
1702726407758566483873751096593148780008887208545717
1879167863994361006642762671143338867671653785055607
1904751493396852168334640944625848027226953267354971
2040646457609700129133221473011183976805656777809887
2106270734260152486957191753559602410389338685730232
2262400387109688224694355660942060730484989641184707
2300984818979151632795742584030788290479840371137826
2450611918919855834609496641124511493683435375351339
2538545225780198008985861222892510107119458854770007
2646868097786512646470584105490868688854008161618041
2790729293100912819363693002042692264869459199080765
2866214177609935726122524074672997507139795782118806
2987054652768996342237271157041957960836690751199266
3046906103068985332280348912293744713840371549555108
3111885306098183339829912759430970725149733597258341
3211059206976882340883254058406456427854066096961282
3333942420285242071263343902923180616814196992147340
3424897475616102733685672850498537799502667319762813
3515197467236138937368762315582035368282590133481766
3605641270888058350688734827394343401335455510543850
3757493644067493553926277098766878362624064324564080
3877829696976042171848163492195298844842928319067778
3924107006515962379542536714952984654307307754001542
4050000778234954368514185054188223798071376062954030
4144377621963703089864908559436417799652352105225930
4290575517475326792038699058640333483291546844902125
4350746467429528127323325498649482171817145516616429
4444047022028431646408525504242991954381146613184744
4532746164732146514477724892000583598965065376705878
4675735170491253675154381011677322326143753161222111
4776183616341628258298642670548749485511399125208085
4800173771816421911582810414521139073060773918278568
4954955755041277407011798661575052494173460563349233
5069999554634437335317380658379347106231286359404032

附表18(1) 随机化分组表

10×10 随机拉丁方

112345678910urs
1127084653950.3212
2276495381070.2000
3385917260440.0788
404963812578-0.3939
590276183459-0.4545
6834256079160.1152
7561340798260.2727
879850241637-0.6242
9413829507670.5636
1065017394285-0.0788
u8688668486

1

60.3818-0.0667-0.0061-0.5273-0.06670.03030.43030.03030.16360.3697

212345678910urs
130962487155-0.2848
269273015847-0.1273
3451396027850.4424
4135968742040.3939
592648750315-0.2606
6584273610970.2606
781705249638-0.1273
876014538928-0.1636
9243801965760.3697
1007851923467-0.5030
u6686647586

2

rs0.40510.34500.2970-0.06670.0667-0.2727-0.24850.04240.2121-0.0788

312345678910urs
191056784237-0.4061
229804153765-0.1273
3182794603550.2000
4865273190450.0303
5574126389080.5394
6321908465750.3939
7657382014960.0303
803941572685-0.1152
974683095126-0.3697
1040365927818-0.1758
u8666477877

3

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

412345678910urs
1328540179660.3939
208269134754-0.3455
385742963107-0.0121
4145032768990.5758
570486591235-0.6364
6263918504760.3697
7691374250850.2364
897610382548-0.3939
951078649326-0.1758
10439257086160.0909
u64648841046

4

rs-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

 1234567891011121314151617181920urs
10217120906190418070510011608151120130314150.1293
2190403151310171209160502061108200718011416-0.0526
30608091220140518150403130201071911161710130.0992
4101715120103181909060204041420160705081312-0.0602
51601140719100317021106091205181320081504170.0752
6132011100401171814051602190307120806091511-0.1699
70510201503040913011612021917071418081106100.0962
8171409150513020818041603061101192010071210-0.0511
90313141118081512100106190704051702162009130.0286
100716021109171505140312130620010408181019110.1308

附表18(3) 30个自然数的随机排列

 123456789101112131415161718192021222324252627282930urs
120120503262117092419140622112829273008021518012516040713102318-0.0763
204280110172611222716132012231824090229192515063007140521030821-0.1204
3182124042002231716132711051206280114092210082907301503251926150.0785
408211210190628172629031413043007232411011620250205221527180922-0.0024
527141623302501041124122203210520181315071002280809261906291717-0.0990
629181213060926012316281108271003221725302004151402190521240721-0.0785
728142011301005092504191629071812081517022723032601222413210617-0.0865
8140820270621160301281925041512182317220230260511240913100729180.0376
9101409290524180726230401281911130225033016062112172220081527180.1039
1006292230092027040724010314101615131826252802231917081205211118-0.1012

附表18(4) 40个自然数的随机排列

101234567893012345678950123456789
037140429341722093821032352104093627101922030113835242918020631
101510313002120116333610231528173716112606391001232839201534211033
203203081106021325184020183431030833400714292004091237262516051440
302435192627230528073930200401381335021205303027361732190322130807
u=27 r=0.0514u=31 r=0.0861u=34 r=-0.1737          
246          
019263138230615402733021300227031620042515023342718261736240522
100203161037181121043610123911243529362819341003163201312007123728
202508052217391224072920331810233706170813402030251311140406354029
302813342009321401303530012609380522311432073033081039021909381521
u=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

101234567893012345678950123456789
038094208472150073930016352538234228451837043124107501349140526
103612233240272433101110344101123904274403321015223720442531402936
302849452946151744032230491546092247063110433047031628391902344510
300106201825163548054130140819113607202102173042230411320617462709
401431190226133443043740264829052440133033504024483313300138213508
u=36r=-0.1553u=41r=-0.0972u=36r=-0.1219
246
002304140043749220710010072437224625321713048013138172003303718
103124475045142544033910041145292605024740091029055011442506234228
201201432849172005361320164136192748331439083004493626151443223913
300621270833420929361830421538233050340649283010194132072447084621
401548111626353223193440431221011820350344344035402702333409124516
u=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

101234567892012345678930123456789
026038673369184111976048731237196247101651044120786094853636689
102308208564355780437210963157365481305586931031646119947392590070
204934976088699641740120880903666578846153342072038934961595288520
305152476693814831024430442598832859921356793080758269609885026745
400453982521062862851740144576436318948580414052790413770611917608
500027401322500971243950709146290517263306425043362754014029421738
605883789433184579129560277540230452718874116007249726471858419005
701590571652750530793670607201952068996967247092497499508825711481
807063676861461087426580075835328915028790628065571030552178565162
906188592982071492998990215049640079089722399039936822231683334684
u=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(%)
510152025303540455055606570
53301055535252016131198766
460145764834262117151311987
8502701408963473730252119171413
1054015576473223191513119876
74021010564443325211714121198
137039019512081604637302521191614
15710200945638272117141210876
990270130775238292219161310108
182050024014596695241332722201714
208602301106342302218151210876
1190320150885841312420161411108
2190590280160105765744352823201714
25980260120694532241915121087
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(%)
510152025303540455055606570
5420130694431242016141210997
57017593594232252118151311109
9603001551071544234282421191614
106801959659413023191613111097
9102601307954403124211815131110
155044022013592685241342823211815
1591025012071483426211714121098
12203301609564463527221916131110
2060560270160110785947373125211916
20109029013580533828221815131097
146039018510571513829232016141110
2470660310180120866450403226211915
2512503301508857403023191513109
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=0.1

δ

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                   0.05
0.10                   0.10
0.15                  1220.15
0.20        139    99    700.20
0.25   110    90   12864  139101450.25
0.30   13478   11563  1199045 1229771320.30
0.35  1259958  1098547 109886734 907252240.35
0.40 115977745 10185663711784685126101705540190.40
0.45 9277623711081685330936754412180554433150.45
0.50100756351309066554325765444341865453627130.50
0.5583635342267555463621634537281554383022110.55
0.607153453622634739311853383224134632261990.60
0.656146393120554134271646332721123928221780.65
0.705340342817473530241440292419103424191580.70
0.75473630251642312721133526211693021171370.75
0.80413227221437232419123122191592719151260.80
0.85372924201333252417112821171382417141160.85
0.90342622181229231916102519161272115131050.90
0.953124201711272118149231714117191411950.95
1.002822191610251916139211613106181311851.00
1.124191614921161412818131196151197 1.1
1.221161412818141210715121085131086 1.2
1.318151311816131196141097 11876 1.3
1.41613121071411109612987 10875 1.4
1.515121197131098611876 976  1.5
1.613111086121097510876 866  1.6
1.7121098610987 9765 865  1.7
1.8121098610877 876  76   1.8
1.911987610876 866  75   1.9
2.01088759776 765  6    2.0
2.110877 8766 76   6    2.1
2.29876 8765 76   6    2.2
2.39776 866  65   5    2.3
2.48776 766  6         2.4
2.58766 766  6         2.5
3.07665 655  5         3.0
3.5655 5              3.5
4.06                  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=0.01

δ
1-β=0.990.950.90.80.50.990.950.90.80.50. 90.950.90.80.50.990.950.90.80.5
0.05                    0.05
0.10                    0.10
0.15                    0.15
0.20                   1370.20
0.25              124    880.25
0.30         123    87    610.30
0.35    110    90    64   102450.35
0.40    85    70   10050  10878350.40
0.45   11868   10155  1057939 1088662280.45
0.50   9655  1068245 106866432 887051230.50
0.55  1017946 106886838 87715327112735842190.55
0.60 101856739 907458321047460452389614936160.60
0.65 8773573410477644927886351392076524230140.65
0.70100756350299066554324765544341766453626120.70
0.7588665544267958483821674839291557403223110.75
0.8077584939237051433319594234261450352821100.80
0.856951433521624638301752373123124531251890.85
0.906246393119554134271547342721114028221680.90
0.955542352817503731241442302519103625201570.95
1.00503832261545332822133827231793323181471.00
1.1423227221338282319113223191482719151261.1
1.236272318113224201692720161272316131051.2
1.33123201610282117148231714116201411951.3
1.4272017149241815128201512106171210841.4
1.52418151382116141171813119515119741.5
1.62116141171914121061612108514108641.6
1.71915131071713119614119741297631.7
1.817131110615121085131086411875 1.8
1.916121196141198512976410765 1.9
2.01411108613109751187649764 2.0
2.113109851298751086538654 2.1
2.212108751197649765 8654 2.2
2.31198751087649765 7554 2.3
2.41198651087648654 7544 2.4
2.5108764976548654 6543 2.5
3.086654765436544 543  3.0
3.5655436544 5443 43   3.5
4.06644 5443 443  4    4.0

《医学统计学》