2025統(tǒng)計分布數(shù)值表第3部分t分布

3t 前 引 范 本文件按照GB/T1.1-20201部分：標(biāo)準(zhǔn)化文件的結(jié)構(gòu)和起草規(guī)則》的規(guī)定起本文件是GB/T40863部分。GB/T40863t本文件代替GB/T4086.3-1983《統(tǒng)計分布數(shù)值表tGB/T4086.3-1983相比，除結(jié)構(gòu)調(diào)整(1t2/v)(v1)/將t分布分位數(shù)表中“tptp(v)(1x2/v)(v1)/

dxp（5章，19832章B中的計算程序（B，1983 松分布和非中心t分布等是人們最關(guān)心的分布。4086.14086.24086.34086.44086.54086.64086.7GB/T4086.3的修訂，增加了術(shù)語和定義，主要包括t分布、分布函數(shù)、p分位數(shù)等；統(tǒng)計3t1tv)20(2)30(5)560t60.(0.0)0.90.990.99750.9980.9990.99950.99980.9999v5)20(2)30(5)56020~302，30~505，50~6060。5~6GB/T3358.11部分：一般統(tǒng)計術(shù)語與用于概率的術(shù)語（GB/T3358.1-2009，ISO3534-1：2006，IDT）GB/T 1t分布tdistribution，Student’s

[(1)/

t2(1)/f(t)

(/2)(1的連續(xù)分布，其中t，參數(shù)(axa1exdx

注：本文件表中所用tf(t[來源：GB/T3358.1-2009,2.53,有修改

(1t2/v)(v1)/

，B(a，b0

(1

[X的]分布函數(shù)distributionfunction[ofarandomvariableXX的取值落在(xtF(t；v

(1x2/v)(v1)/

[來源：GB/T3358.1-2009,2.7,有修改3.p分位數(shù)p-quantile，p-Xp，對0p1，使分布函數(shù)F(xpx

tp(v)(1x2/v)(v1)/p

dxp[來源：GB/T3358.1-2009,2.13,有修改F(t；v)

(1x2/v)(v1)/v的tF(t；v在t點處的數(shù)值。例：對于v8和t3.9，F(xiàn)(t；v0.997728。4tF(t；v)

(1x2/v)(v1)/

0.5000000.5000000.5000000.5000000.5000000.5000000.5000000.5000000.5000000.5389280.5390020.5390650.5391190.5391660.5392070.5392430.5392750.5393040.5774350.5775850.5777120.5778220.5779170.5780000.5780730.5781390.5781970.6151150.6153450.6155400.6157070.6158530.6159800.6160930.6161930.6162830.6515930.6519070.6521740.6524030.6526030.6527770.6529310.6530680.6531910.6865370.6869410.6872840.6875790.6878350.6880590.6882570.6884340.6885920.7196680.7201670.7205900.7209530.7212690.7215450.7217900.7220070.7222020.7507680.7513630.7518680.7523020.7526790.7530100.7533020.7535620.7537950.7796770.7803690.7809570.7814620.7819010.7822860.7826260.7829290.7832000.8063000.8070870.8077550.8083300.8088290.8092670.8096540.8099980.8103070.8306000.8314750.8322190.8328590.8334150.8339030.8343340.8347180.8350620.8525890.8535450.8543580.8550560.8556640.8561960.8566670.8570870.8574630.8723270.8733530.8742240.8749740.8756250.8761970.8767020.8771520.8775560.8899090.8909910.8919110.8927010.8933880.8939910.8945240.8949990.8954240.9054600.9065830.9075380.9083590.9090720.9096980.9102510.9107430.9111850.9191210.9202710.9212480.9220870.9228170.9234560.9240210.9245250.9249760.9310480.9322100.9331950.9340420.9347770.9354220.9359920.9364980.9369520.9414020.9425600.9435420.9443850.9451170.9457580.9463240.9468270.9472780.9503420.9514840.9524510.9532800.9539990.9546280.9551840.9556780.9561200.9580250.9591380.9600790.9608860.9615840.9621950.9627340.9632130.9636410.9645980.9656720.9665800.9673560.9680270.9686140.9691310.9695890.9699990.9702000.9712280.9720940.9728330.9734720.9740300.9745200.9749550.9753430.9749570.9759320.9767510.9774500.9780520.9785770.9790380.9794460.9798090.9789840.9799010.9806710.9813250.9818880.9823770.9828060.9831860.9835240.9823840.9832410.9839570.9845660.9850880.9855400.9859370.9862870.9865970.9852470.9860420.9867060.9872670.9877470.9881630.9885260.9888460.9891300.9876530.9883870.9889970.9895110.9899500.9903300.9906600.9909500.9912070.9896720.9903450.9909030.9913720.9917710.9921140.9924120.9926740.9929050.9913630.9919780.9924850.9929100.9932700.9935790.9938470.9940820.9942880.9927770.9933370.9937960.9941790.9945030.9947790.9950190.9952270.9954110.9939600.9944670.9948810.9952240.9955140.9957600.9959730.9961570.9963190.9949480.9954050.9957770.9960840.9963410.9965600.9967480.9969100.9970520.9957730.9961840.9965160.9967900.9970180.9972110.9973760.9975190.9976430.9964610.9968300.9971260.9973690.9975710.9977400.9978850.9980090.9981170.9970350.9973650.9976290.9978440.9980210.9981700.9982960.9984040.9984980.9975150.9978090.9980430.9982320.9983880.9985180.9986280.9987220.9988020.9979150.9981770.9983840.9985510.9986870.9988000.9988960.9989760.9990460.9982490.9984820.9986650.9988110.9989300.9990290.9991110.9991810.9992400.9985280.9987350.9988960.9990250.9991280.9992140.9992850.9993440.9993950.9987620.9989450.9990870.9991990.9992890.9993630.9994240.9994750.9995190.9989570.9991190.9992440.9993420.9994200.9994840.9995360.9995800.9996170.9992570.9993840.9994800.9995550.9996140.9996610.9996990.9997310.9997570.9994680.9995670.9996410.9996980.9997420.9997760.9998040.9998270.9998460.9996180.9996950.9997510.9997940.9998270.9998520.9998720.9998890.9999020.9997230.9997830.9998270.9998590.9998830.9999020.9999170.9999280.9999380.9997990.9998450.9998790.9999030.9999210.9999350.9999450.9999540.9999600.9999070.9999320.9999490.9999610.9999690.9999760.9999800.9999840.9999870.9999550.9999690.9999780.9999840.9999880.9999910.9999930.9999940.9999960.9999780.9999850.9999900.9999930.9999950.9999960.9999970.9999980.9999980.9999890.9999930.9999950.9999970.9999980.9999990.9999990.9999990.999999本表對于自由度為v的tF(t；v在t點處的數(shù)值。例：對于v14和t0.7，F(xiàn)(t；v0.752302。F(t；v)

(1x2/v)(v1)/

0.5000000.5000000.5000000.5000000.5000000.5000000.5000000.5000000.5000000.5393750.5394130.5394440.5394720.5394950.5395430.5395780.5396060.5396280.5783410.5784170.5784820.5785370.5785850.5786810.5787530.5788090.5788540.6165030.6166200.6167190.6168030.6168770.6170240.6171350.6172210.6172900.6534930.6536530.6537880.6539040.6540050.6542060.6543580.6544750.6545700.6889800.6891860.6893600.6895090.6896380.6898980.6900930.6902440.6903660.7226820.7229350.7231500.7233340.7234940.7238140.7240550.7242420.7243920.7543680.7546710.7549280.7551490.7553400.7557230.7560110.7562350.7564140.7838680.7842210.7845200.7847770.7850000.7854460.7857820.7860430.7862520.8110670.8114690.8118100.8121020.8123560.8128640.8132470.8135440.8137830.8359080.8363570.8367360.8370630.8373460.8379130.8383390.8386710.8389370.8583880.8588780.8592930.8596500.8599600.8605800.8610460.8614090.8617000.8785490.8790740.8795200.8799030.8802350.8809000.8814010.8817900.8821030.8964710.8970260.8974960.8978990.8982500.8989510.8994790.8998900.9002190.9122710.9128460.9133330.9137520.9141150.9148420.9153890.9158150.9161560.9260850.9266720.9271700.9275970.9279670.9287090.9292670.9297010.9300490.9380690.9386590.9391590.9395890.9399610.9407060.9412660.9417020.9420500.9483860.9489720.9494670.9498920.9502610.9509990.9515520.9519830.9523280.9572050.9577780.9582620.9586780.9590370.9597570.9602970.9607170.9610520.9646900.9652430.9657110.9661120.9664590.9671520.9676710.9680740.9683960.9710020.9715300.9719760.9723570.9726870.9733460.9738390.9742210.9745260.9762910.9767890.9772090.9775680.9778790.9784970.9789590.9793170.9796020.9806970.9811620.9815530.9818870.9821760.9827500.9831770.9835080.9837720.9843460.9847750.9851360.9854440.9857090.9862360.9866280.9869300.9871700.9873520.9877450.9880750.9883550.9885970.9890750.9894300.9897030.9899200.9898160.9901730.9904710.9907250.9909420.9913720.9916900.9919340.9921280.9918270.9921480.9924150.9926420.9928360.9932190.9935010.9937170.9938880.9934610.9937470.9939850.9941860.9943580.9946960.9949430.9951320.9952820.9947820.9950350.9952450.9954220.9955730.9958690.9960840.9962490.9963780.9958470.9960700.9962540.9964090.9965400.9967960.9969820.9971240.9972340.9967030.9968970.9970570.9971910.9973050.9975260.9976850.9978050.9978990.9973870.9975560.9976950.9978100.9979080.9980960.9982320.9983330.9984120.9979340.9980800.9981990.9982970.9983810.9985410.9986550.9987400.9988060.9983690.9984940.9985960.9986800.9987500.9988850.9989810.9990520.9991060.9987140.9988210.9989080.9989790.9990380.9991510.9992300.9992890.9993340.9989880.9990790.9991520.9992120.9992620.9993560.9994210.9994690.9995060.9992040.9992810.9993430.9993930.9994340.9995120.9995660.9996050.9996350.9993750.9994400.9994910.9995330.9995680.9996320.9996760.9997080.9997310.9995090.9995640.9996070.9996420.9996700.9997230.9997580.9997840.9998030.9996150.9996610.9996970.9997250.9997490.9997920.9998210.9998410.9998560.9996980.9997370.9997660.9997900.9998090.9998440.9998670.9998830.9998950.9998150.9998410.9998610.9998770.9998900.9999130.9999280.9999380.9999450.9998860.9999040.9999180.9999290.9999370.9999520.9999610.9999670.9999720.9999300.9999430.9999520.9999590.9999640.9999730.9999790.9999830.9999850.9999570.9999650.9999720.9999760.9999800.9999850.9999890.9999910.9999930.9999740.9999790.9999830.9999860.9999880.9999920.9999940.9999950.9999960.9999920.9999940.9999950.9999960.9999970.9999980.9999990.9999990.9999990.9999980.9999980.9999990.9999990.9999991.0000001.0000001.0000001.0000000.9999990.9999991.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.000000本表對于自由度為v的tF(t；v在t點處的數(shù)值。例：對于v45和t3，F(xiàn)(t；v0.997805。tp(v)(1x2/v)(v1)/

dxv的tp的分位數(shù)tp(vp分位數(shù)tp(v。例：對于v100p0.90tp(v)1.29007。p0.5tp(vt1p(vt0.1(100)t0.9(100)1.29007與雙側(cè)概率相應(yīng)的分位數(shù)為t12v。例：對于v100和0.2t12vt0.9100)1.290075ttp(v)(1x2/v)(v1)/

dx 636.619251591.5492231.59905 8.61030 本表對于自由度為v的tp的分位數(shù)tp(vp分位數(shù)tp(v。例：對于v20p0.999tp(v)3.55181。p0.5tp(v)t1p(vt0.001(20)t0.999(20)3.55181與雙側(cè)概率相應(yīng)的分位數(shù)為t1/2(v。例：對于v20和0.002，t12(vt0.999(20)3.55181下面給出t分布兩種數(shù)值表的計算方法。在本文件所列數(shù)表不能滿足要求時，可參考這些算法及附B的程序進(jìn)行計算，或者使用插值方法作粗略計算。自由度為v的tf(t；v)

，vB(1，

)2tB(a，b1xa1(1x)b1dx

2vF(t；v)f對0p1p分位數(shù)tp(vF(tp(v)；v)t分布在自由度v貝塔分布