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(hào)本書(shū)統(tǒng)用v,但若沿用n，也不為錯(cuò)。

附表2標(biāo)準(zhǔn)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(cè)的概率，P(1)是單側(cè)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(diào)查例中查n到實(shí)驗(yàn)發(fā)生某現(xiàn)象的個(gè)數(shù)。

附表5W檢驗(yàn)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(yàn)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