统计分布临界值表

1、统计分布临界值表附录附表一：随机数表 2附表二：标准正态分布表 3附表三： t 分布临界值表 42附表四：X分布临界值表 5附表五：F分布临界值表（a =0.05 ） 7附表六：单样本 K-S 检验统计量表 9附表七：符号检验界域表 10附表八：游程检验临界值表 11附表九：相关系数临界值表 12附表十： Spearman 等级相关系数临界值表 13附表十一： Kendall 等级相关系数临界值表 14附表十二：控制图系数表 15附表一：随机数表9245946807007429806805715919H3036876830014713187901990616882131758136813723

2、247989450541881503252447563570381101824534558875530122O2&39717634963906246367830500271761358524064062630267690258744623955778S82211796285612709193013649399429998240574501867203478&90173046654463329984582692196848669072860701152728461427 W336865128372980535896131878649067032959647534898059517

3、08081658314血49642851468212486719048169394B874557376874745483685148630779167892205201513127898627330631949809693212748&1550990267S16510954063907831468435776799011287270683787461734833169485273159761230501008393628271372834709395781996236326998551414628341935703416359623141036336766852523923211575

4、9778072396562193886444673949838238116137020796943571773417156179343746981948381241858837309608427238937279269540361816322021134399925129716267187151809240841322&795170184303655562015221036131757791631978788966986922225130434985881615341522455554366407043311100490531985231777478300525043417800998

5、0532819710338367484640674706092225920746139168664861135474766802710114346286740442231263077456770072595886402002788702973779078038919619852766310057178678399414187373044254S1O34813915087030583576450282146759216118187575570714039&020905671I8773195412147346821(52423764399571906200308072附表二：标准正态分布表

6、pz ；）=中-r亠"叫世J.g V 2jtZ0.000010.020.030.040.050.060.070.080 090.00.5000050400.50800.5120 *15160015199052390.52790.53190.5359010,53980 54380,547S0.55170.55570,5596O.56i360.56750.57N05753020.57930.5832Q.5871()59100.594WG.5flN70.60260.60640.61030.6141tlJ0.61790 62170.625?0.62930.6331063680.6406U64

7、430.64800.65170.40.65540.55910.662S0.6664U.67(M)067360.6772U.68D80,68440.68790.50.69150.6W0O.(WS50.70190.7054U.7C8807123Q7I570.7190072240.60,72570.729!0.73240.73570.7389074221).7454074860.73170.7549Q.70.75800 711U.76420.76730.77030.77341)7764(VTSM0.78230.7&520.8O.78B10.79100.79390.79670.79950&am

8、p;)23W610.8D780,81060.S133090.BI590.8 J 860.S212082380.8264(LB2S90.S3150,83400,83650 8389.u0.84130.843SU.84610.8485tus邓0.S53I0.85540.8577O.B5990.862111O.S6430.86650.86«6G.87O80.872(1.R749O.M77O0.87W088100.8830120.S8490.89690.B88SU.fi9070J8K5U.89440,8962ami負的0.90151.30.90320.90490.9060.90820.911

9、5091310.91470,91620 917714U.91920,92U7092220.9236092510.9265沏0.92920,93191.50.933209545093570.93700.93B20.939403M060.94 IBO.y4290.94411.60.94S20 90.94740.94S4U.514950.95050.95150.95250.95350.95451.70.95540.9564095730.9582U.95910.95990 960K0.9616C.%250.9633l.H0 96410.9t>l90.96560.96640.9671(%7S0.9

10、6K60.96930.9699097061.90.97130.97190.97260.97320.9738097440.97500.97560.97610.77672.00.97720.9778097S30.97880.9793097980.98030.9SOS0.98120.98172J _0.9K21U.9K26U983UO.9S?40.9S3S0198420,984&0.9B50O.9B540.96572.20,98610 98640.96680.98710.98750.98780.98SJ0.98840.98870.溯2.30.98930.96%0.989809901Q.W04

11、.99060.99W0.99110.99130.99162.40.99180.99200.99220.99250.99270.9929OLWI0.99120.99340,99362.50.99380,99400.99410.99430 99450 99460 一的 4B(J.99490.99510.99522.60.99530.99550.995609957O.W590.99600.610.9<W20.99630.9964270.9965O.WMj0.9967099680.W690.99700.99710.9V72U.9973O.?97420.9974V.997509976OW70 99

12、770 99780.99790.99790.99800.99812.90.99B1O,W820.99R2O.99S30.99840.99S40.W850.99850,99860.99863.00 99870.9987o.wa?0.99S«U.99K80,9989O.99H90.W890.99900.9990ex0.40003(X10 20G0000050O.OG50.0200.0100.0Q50.001和0.2530.5240.8421.2821.6451舸2.054233623763WCtt/20.8421.0361.2821.M51 96()2.2402.3262.5762.80

13、73J91附表三：t分布临界值表（查表时注意：v是指自由度，并分单侧和双侧两种类型）（左侧的示意图是单侧检验的情形）单侧d=OJ00.050.0250.010.0050.100 050.020.01鬥107B631412.70631.821 6J.6572i m2 920"1J4H6M59,92531磁2.353118245415.&4I415332.1322.7763.7474.6045L4762.0152.57153654.032614401.9432.4473.1433.70771.4151.89523652.9983.491307胸2r30fe2.896235591J

14、8131.83322622.8213.25Q】01.372111222182.7643.169111.363.7962.2012.7183.106121356.78211792丽3.055131.3501,7712.1602.650101214L34J1.7612.14516242.977151.3411.7532.1312 6022947161337IM2.12023&32.92117B331.7402.LIO2,5&72.898181JJ0t,7342401X552W819LJ2S1 7292.0W2.5392.861201.3251.7252.0862.52R2.8452

15、11.3231.7212.0802.5182.83122ini1.7172.0742.5082俎9231.319171440692.5002.80713ISL.7H2.0642.4922.79725L3L61.7082.0602.4852.787261.3151,7 W2.05624792.77927LJ14L7032.05224732,77128IJU7012.O4S2.4672.763291.31116992.0452.4622.756301JO1.6972.0422.4572.750401.303皿42.0212.4232704501.2991.67&2.0092.4A32.67

16、R601.2961.6712 0002.3902.660701.294L6671.9942.3812.648£01.2921.6641.9902.374901,291你21.9872J682.6321001.290L6601.9S42JM2.6261251.288l.«571.97923572.6161501.287.6551.9762.3512.6092001.2861.6531.9722.3452.601I.3S21.645L9602.3262.5762附表四：x分布临界值表自由度_i"234567910111213141516J718192021222324

17、252627282f>3040so60708090100150200SOO400SOO畫0>. W5Jfo. mXq. S7S9S0鬲1, 9U00. 00003930.00015710.00098210. 00393210.01579080.01002510.02010070.05063560.1025870,2107200.07172120. 1148320,2157950. 3518460. 5643750. 2069900.2971100. 4844190.7107211.0636230. 4117400.5543000.831211L 145476L. 610310.67

18、57270.8720851.2373471, 63539比 204130. 989265L 2390431,689872r 167352.833111. 3444191. 6464822. 1.79732t 732643. 48954L 7349262. 0879122, 700393.325114b168162, 155852.558213246973”940304.865182.603213” 053473.815754*574815. 57779£ 073823. 570564.403795. 226036.303803.565034.10915.008745, 891867.

19、041504.074684*660435* 628726.570637. 789534.600945. 22935氏 262147, 260948. 546755.142245* 812216t 907667. 961649* 312235. 69724鼠407767+ 5A418& 6717610, 08526. 264817.01491&230759. 3904610.86496. 843987.63273& 9065510t1170IL 65097. 433868. 260409. 5908310.850812. 44268. 033668, 8972010. 2

20、829311.591313.23968, 642739. 5424910, 982312, 338014,04159. 2604210. 1956711. 688513.0905U. 84799t 8862310. 856412. 401113* 8484】5. 658710.519711.524013.119714. 611416. 473411. 1603IN 198113.843915. 379117. 2919IL 807612.878614. 573316,151318. 113812. 4613L3. 564815. 307916.927918. 939213. 121114.25

21、6516. 047117. 708319. 767713.786714,953516.790818.492620. 599220.706522, 164324, 433126+ 509329. 050527, 990729. 706732. 357434.764237. 688635.534637, 484640. 4«1743.187946.458943. 275245t 441818. 757651. 733355. 329051- 172053, 540057.153260.3915C4. 277859. 196351,754165. 646669,126073.291267,

22、 327670. 064S71. 221977. 329582. 3581109. 142112.668117.985122, 692128. 27515込 241156*4321(52,7281 佩 279174r 835240. 663245.972253. 912260, 878269. 068330. 903337. 155346. 482354+ 641364. 207423. 303429, 388439. 936449* 14745® 926续表自由度0. 100o.osoC 02S0.010o.oos12. 705543.841465.023896.634907.87

23、94424.605175. 991477. 377769.2103410.596636.251397.814739 3484011.344912.838147.779449.4877311.143313. 276714.860259.2363511.070512. 832515.086316.7496610.644612. 591614.449416.81195476712.017014.067116.012818.475320.2777813.361615.507317.534620.090221.9550914. 683716.919019.022821. 666023.58931015.

24、987118.307020.483123.209325.18821117.275019.675121.920024.725026.75691218. 549421.026123.336726.217028.29951319.811922. 362124.735627.688329.81941421.064223.684826.119029.14)331.31931522. 307224.995827.488430.577932.80)31623.541826.296228.845431.999934. 26721724. 769027.587130.191033.408735.71851825

25、.989428. 86933L 526434.805337.15641927. 203630.143535.852336.19083& 5822202& 412031.410434.169637.566239.99682129.615132.670535.478938.932141.40102230.813333.924436.780740.289442.79562332. 006935.172538.075741.638444.18132433.196336.415139.364142.979845. 55852534.381637.652540.646544.314146.

26、 92782636.563138. 885241.923245.641748.28992736.741240.113343. 194446.963049.64492837. 915941.337244.460748.278250.99332939. 087542. 556945. 722249.587952.33563040.256043.772946.979250.892253.67204051.805055 758559. 341763.690766.76595063.167167. 504871.420276.153979.49006074.397079. 081983.29768&am

27、p; 379491.95177085. 527190.531295.0231100.425104.21580196.5782101.879106.629112.329116.32190107.565113.14511& 136124.116128.299100118.498124. 342129.561135. 807140.169150172.581179.581185.800193.20819& 360200226.021233.994241.058249.445255.264300331.789341. 395349.874359.906366.844400436. 64

28、9447.632457.306468. 724479.606500540.930553.127563.852576.493585. 207附表五：F分布临界值表（a =0.05）123456&10151I6L4199.52)5 7224,6230.2234.0238.9241.9245.9218.5119.0019.1619319.301933193719,4019.433J0.139559.289.129.C18.948.858.7987047.716.M6.596.396.266.)663I5,965.3656.615.795.415.195,054.954,824.744.626

29、5.99i5J44.764.534.394.2S4J54.063.9475.594.74U54.123,973,873.733.643.5185324.464.073.8+3.693.58<443M3,2295.124.263.863.633,4S3.371233.143.01104.964J03713.483.333.223.072.期2.85U4.843.983593363.203.092.952.85272124.753.893.493.263.113.002.S512.752.62134.673.813.413J83.032,922.772.672.53144.603,743.3

30、43.112.962.852.702,60246154543.683,293.062,902.792.642.542.40164.493,633.243.012.852.742.592A92.35174.453.593202.962.812.702,552,45231184413.553.162.932.772.661512.4!227194.383.523.132.902.742,632期238223204353.493J012.872.712.602.45235120214.323.473.072.842.682.5?2.422322.18224.303.443.051822,662.55

31、2.402.302.15134283.423.032.802.642.53237227113244.263.401012.782,622.512.362.252.11254J43.392.992.762.602492342.242.09264.233.3?2.9K2J42,592.472.322.222.07274.23.352.962.732.572462312.202.06284.2033+2.952J2,562452.292.192.04294J83.332.932.702.552.432.282J82.03304.173.322血2.692532.422271162.01404.083

32、J32.842.612.452.342.182.081.925C4.033.182肿2562.402.292J32,03L87604.M3.152.762.532,372.252.101.991.84703.983.132.742.502352232.071.97L81803.963J12J22,492,332.212.061.951.79903,951102.712.472.322.202阳L941.781003.943,092N2-462312.192,031.931.771253.923.072.6&2.442.292472如L911.751503.903.062.662.432

33、,272.162.00J.S91L732003.893,042.652.422.262J4L981 踴1J23.843.002,602372.212J0L941.831.67F分布临界值表（a =0.01）续 表X1S.23斗561015140524咖5403562557645859598160656157298.5090.0Q99.179925993099.3399,3799.4099.43334.1230.8229,4628,7128.2427.9127A927.2326.8742L201S.OO15,6915.9815.52152114.8014.5514.20516.26113.271

34、2.0611.3910710.6710.2910.05972历13.7510.929.789,158.758.477,877.56712.254358.457.857.467,196.846.62631SH.268.657.597,016.636.376.035.815.52910.568,026.996.426.065.S05.475.264.961010,047.566.555.905.645.395.064.4J54.56H9.657216225.675325,074.744.54425129.336.935.Q55.415.064.824.5043Q4.QIB9.076.705745.

35、214,864.624.30氐103.8214S.866.515.565,044.694.464,143,943.66158.866365.424肿4J64.324.003.S03.52168.5J&235期4.774.444.203.S93.693.4117S40氐115.194.674J44JD3.793.593.31188J96,015.094.5S4,254.013.7115132319S.185,935.014.504.173,943.633.4320S.IQ5.S54.944.434.101873.56| 3.373.09218.025.7R4.874374.041813.

36、513.31工（B227.955.724.824.513.993.763.453.262.98237.885664.764.263.943.713.4】3212.03247,825,614.724.223.903.673 36372.89257.775.574.684.1S3舫3.633.323.132,S5267.725.534.641.143.823.593.293.092.81277.685 494.604.111783,563.263.062.7S287P645,454.574.073,753.53323332.7529工閒5A24.544.043加3.503.203.002.7330

37、7.565394.514rO23.70347372,982.70407.3154&4.313.83J.5I3加2.992.&02.52507,175.064.203.721413.192.892.702,426070S4.98433.653.343422.822.632.35707+014.924.Q73 603.293.072.782.592.31紳6.964細4.043,S63.26工042.742.552.27906.034.854011533 ”233.012J22,522.42100&904.823,513.212592.692.502.221254,7S工9

38、41.47艮门2.952.662.472J91504.75旳3,453J42.922.632,442.162006.764r7|3.883.411112,892.602.41'2 136.634.613.783.323.022.802.512.232,04附表六：单样本 K-S检验统计量表Dn = SUPxFn(X)- F°(X)a - 1 - P(Dn Wd)双侧检验的右尾柢率N 200* 100050* 020010N* 200+ 100*050 020*0101900* 950L 975990* 99521 226*2592871 321. 3442£8477

39、6-842+ 900 92922.221 253-281* 314.3373-565636* 708，785* 82923216 247 275、30733044姑 565624689 734242J2-242*269301* 3235* 509* 56362766925+ 208238 264295 3176 410 468* 519 577 61726.204 2332592903117* 38143E 4酣 538.57627* 200.229 254284.3058* 358*454507* 54228 1&7* 225<250279.aoo& 339387-43

40、0 480.51329 193.221246* 275*29510 323 369 409+ 457 48930* 190218.242270.29011* 308 352391437-468311跖* 214 238.266.28512 296338 375 41944932* 184 211 234-262 28113 285 325.361* 404< 43233.182* 208231*258,27714 275.314 349 39041834.17920522725427315266304.338+ 377 40435-17?+ 202-224-251-26916>258 295 327* 36639236-174199 221247.26517250286.318 355*381371 了2 196 218* 244* 26218244* 279309 34637138 170