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附表1x2值表
p
n
0.9950.9900.9750.9500.9000.7500.5000.2500.1000.0500.0250.0100.005
0.020.100.451.322.713.845.026.637.88
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
3.574.115.015.897.049.3012.3415.9819.8122.3624.7427.6929.82
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:自由度的符號本書統(tǒng)用v,但若沿用n,也不為錯。
附表2標準正態(tài)曲線下的面積表
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3t值表
P(2):0.500.200.100.050.020.010.0050.0020.001
n'
P(l):0.250.100.050.0250.010.0050.00250.0010.0005
11.0003.0786.31412.70631.82163.657127.321318.309636.619
20.8161.8862.9204.3036.9659.92514.08922.32731.599
30.7651.6382.3533.1824.5415.8417.45310.21512.924
40.7411.5332.1322.7763.7474.6045.5987.1738.610
50.7271.4762.0152.5713.3654.0324.7735.8936.869
60.7181.4401.9432.4473.1433.7074.3175.2085.959
70.7111.4151.8952.3652.9983.4994.0294.7855.408
80.7061.3971.8602.3062.8963.3553.8334.5015.041
90.7031.3831.8332.2622.8213.2503.6904.2974.781
100.7001.3721.8122.2282.7643.1693.5814.1444.587
110.6971.3631.7962.2012.7183.1063.4974.0254.437
120.6951.3561.7822.1792.6813.0553.4283.9304.318
130.6941.3501.7712.1602.6503.0123.3723.8524.221
140.6921.3451.7612.1452.6242.9773.3263.7874.140
150.6911.3411.7532.1312.6022.9473.2863.7334.073
160.6901.3371.7462.1202.5832.9213.2523.6864.015
170.6891.3331.7402.1102.5672.8983.2223.6463.965
180.6881.3301.7342.1012.5522.8783.1973.6103.922
190.6881.3281.7292.0932.5392.8613.1743.5793.883
200.6871.3251.7252.0862.5282.8453.1533.5523.850
210.6861.3231.7212.0802.5182.8313.1353.5273.819
220.6861.3211.7172.0742.5082.8193.1193.5053.792
230.6851.3191.7142.0692.5002.8073.1043.4853.768
240.6851.3181.7112.0642.4922.7973.0913.4673.745
250.6841.3161.7082.0602.4852.7873.0783.4503.725
260.6841.3151.7062.0562.4792.7793.0673.4353.707
270.6841.3141.7032.0522.4732.7713.0573.4213.690
280.6831.3131.7012.0482.4672.7633.0473.4083.674
290.6831.3111.6992.0452.4622.7563.0383.3963.659
300.6831.3101.6972.0422.4572.7503.0303.3853.646
310.6821.3091.6962.0402.4532.7443.0223.3753.633
320.6821.3091.6942.0372.4492.7383.0153.3653.622
330.6821.3081.6922.0352.4452.7333.0083.3563.611
340.6821.3071.0912.0322.4412.7283.0023.3483.601
350.6821.3061.6902.0302.4382.7242.9963.3403.591
360.6811.3061.6882.0282.4342.7192.9903.3333.582
370.6811.3051.6872.0262.4312.7152.9853.3263.574
380.6811.3041.6862.0242.4292.7122.9803.3193.566
390.6811.3041.6852.0232.4262.7082.9763.3133.558
400.6811.3031.6842.0212.4232.7042.9713.3073.551
500.6791.2991.6762.0092.4032.6782.9373.2613.496
600.6791.2961.6712.0002.3902.6602.9153.2323.460
700.6781.2941.6671.9942.3812.6482.8993.2113.436
800.6781.2921.6641.9902.3742.6392.8873.1953.416
900.6771.2911.6621.9872.3682.6322.8783.1833.402
1000.6771.2901.6601.9842.3642.6262.8713.1743.390
2000.6761.2861.6531.9722.3452.6012.8393.1313.340
5000.6751.2831.6481.9652.3342.5862.8203.1073.310
10000.6751.2821.6461.9622.3302.5812.8133.0983.300
OC0.67451.28161.64491.96002.32632.57582.80703.09023.2905
注:表上右上角圖中的陰影部分表示概率P,P(2)是雙側的概率,P(1)是單側的概率,是自由度。
附表4百分比的95%與99%可信區(qū)間
95%可信區(qū)間99%可信區(qū)間
觀察
樣本大小,n樣本大小,n
數(shù)f
1015203010152030
0031022017020041030023016
045032025017054040032022
2356240131122165149139028
3765448338227424256245132
41274855644431881563451336
5198112629496351387869656440
626881668125483919921274861644
73593217315591043269616791166848
844972779196412463599218415701052
95510032842368155046100268818741255
106910038882773175359100319222781458
11459232772056379526821662
12529636812360449830851865
13609841852563519934892168
1468100468828666010039922471
1578100519131697010044942674
165694347249962976
176297377555983279
186999407761993582
19751004480681003884
20831004783771004286
2150854588
2254884890
2357905292
2461925694
2565946096
2669966497
2773986899
28789972100
298310078100
308810084100
注:表中觀察數(shù)f為調查例中查n到實驗發(fā)生某現(xiàn)象的個數(shù)。
附表5W檢驗ain系數(shù)表
n
i
2345678910
10.70710.70710.68720.66460.64310.62330.60520.58880.5739
2—0.00000.16770.24130.28060.30310.31640.32440.3291
3———0.00000.08750.14010.17430.19760.2141
4—————0.00000.05610.09470.1224
5———————0.00000.0399
n
i
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
7——0.00000.02400.04330.05930.07250.08370.09320.1013
8————0.00000.01960.03590.04960.06120.0711
9——————0.00000.01630.03030.0422
10————————0.00000.0140
n
i
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
12——0.00000.01070.02000.02840.03580.04240.04830.0537
13————0.00000.00940.01780.02530.03200.0381
14——————0.00000.00840.01590.0227
15————————0.00000.0076
n
i
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
17——0.00000.00620.01190.01720.02200.02640.03050.0343
18————0.00000.00570.01100.01580.02030.0244
19——————0.00000.00530.01010.0146
20————————0.00000.0049
n
i
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
22——0.00000.00420.00810.01180.01530.01850.02150.0244
23————0.00000.00390.00760.01110.01430.0174
24——————0.00000.00370.00710.0104
25————————0.00000.0035
附表6W檢驗界值表
n34567891011121314
a=10.0%0.7870.7920.8060.8260.8380.8510.8590.8690.8760.8830.8890.895
a=5.0%0.7670.7480.7620.7880.8030.8180.8290.8420.8500.8590.8660.874
a=1.0%0.7530.6870.6860.7130.7300.7490.7640.7810.7920.8050.8140.825
n151617181920212223242526
a=10.0%0.9010.9060.9100.9140.9170.9200.9230.9260.9280.9300.9310.933
a=5.0%0.8810.8870.892
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