JIS Z8101-3-1999 统计学.词汇和符号.第3部分：实验设计

Z8101-3:1999(ISO/FDIS3534-3:1999)(1)JISZ8101:19811999FDISISO/FDIS3534-3JISZ8101:19991(Part1Probabilityandgeneralstatisticalterms)2(Part2Statisticalqualitycontrolterms)3(Part3Designofexperiments)Z8101-3:1999(ISO/FDIS3534-3:1999)(1)···············································································································································································1·······································································································································································21.································································································································································22.···························································································································································123.···························································································································································28······································································································································································34·············································································································································································38JISZ8101-3:1999(ISO/FDIS3534-3:1999)3StatisticsVocabularyandsymbolsPart3Designofexperiments1999FDISISO/FDIS3534-3,StatisticsVocabularyandsymbolsPart3Designofexperiments2.11.172.1.12.21.291.282.3.12Z8101-3:1999(ISO/FDIS3534-3:1999)2.3.22.3.4.12.422.52.63.11.13.3a)b)c)d)e)1.1.1model1.(1.2)(1.3)(1.14)1.21.31.2.yijµαiβjεijyijAiBjµαiAiβjBjεijyijµαiβj3Z8101-3:1999(ISO/FDIS3534-3:1999)εij3.yijkαiβjτijεijkyijkαi1βj2τijεijk2.3.2.yijεij3.yijkεijk4.yieβ0β1xiβ2xi2εiyixieβ0β1xiβ2xi2xiεi2.21.2responsevariable1.(outputvariable)2.(JISZ8101-1:1999,1.7)3.1.3predictorvariable1.(inputvariable)(predictorvariable)2.3.4.(JISZ8101-1:1999,1.7)1.4designregiondesignspace4Z8101-3:1999(ISO/FDIS3534-3:1999)1.5factor1.2.(1.3)(factor)3.(1.11)1.6level1.2.1001201401603ABC3.1.7experimentalerror1.2.(1.21)(1.22)(1.23)3.(JISZ8101-2:1999,2.12)(JISZ8101-2:1999,2.15)(JISZ8101-2:1999,5Z8101-3:1999(ISO/FDIS3534-3:1999)2.13)(JISZ8101-2:1999,2.16)1.8variancecomponent1.yijµτiεijτiτiεijτiεijτiVar(yij)Var(τi)Var(εij)στ2σε2στ2σε2yij2.1.9experimentalunit1.10treatment1.11block(1.9)1.281.2.1.121one-factorexperimentyµiεyµiiεyµiεµi6Z8101-3:1999(ISO/FDIS3534-3:1999)yµαiεyµαiiε1.13maineffect1111yµβXεyµε1.12X11βXβX1/2β0XXX01.14dispersioneffect1.152two-factorexperiment1.16kkfactorexperimentk(k2)(multi-factorexperiment)1.17interaction1.7Z8101-3:1999(ISO/FDIS3534-3:1999)2.21ABC1ABC2343.1.13.21τij1.18confounding(1.30)1.19alias1.20curvature1.32.1.12YµβXγX2εγ01.21residual8Z8101-3:1999(ISO/FDIS3534-3:1999)1.jiijayβµ)))−−−1.12.AiBj2.ijjiijkayτβ)))−−−1.13.3.2210ˆˆˆxixieyiβββ++−1.14.1.22residualerror1.µ)β)1.13µβxyβµ))−−xy2.3.3.31.3.41.23pureerror1.1.13.(i,j)()2111⋅−=
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=⋅(i,j)()2,,1⋅−
−ijijkyykjiIJN,i1,I;j1,J;k1,nij2.σ29Z8101-3:1999(ISO/FDIS3534-3:1999)1.13.2.Var(εij)3.Var(εijk)4.Var(εi)1.24contrast000y1y2ynai0a1a2an0a1y1a2y2anyn1.3y1y2y3131y1y3222y1y3y2y2y1y3y1y3y1y2y311011y1y321/211/221/2y1y21/2y32(121)2.A1A2A31A1A2A3?y1y2y32?y2y3y1y2y3121112y1y2y320112y2y310Z8101-3:1999(ISO/FDIS3534-3:1999)1.25orthogonalcontrast01.y1y2y3ai11101ai22011ai1ai2001Σai1ai212.y1y2y3ai11101ai22121ai1ai2101Σai1ai201.26orthogonalarray(2.2)dd12d1.27replicationJISZ8101-1:1999,2.64ISO3534-3:1985(duplication)(repetition)JISZ8101ISO10241:19924ISO10241:19924ISO3534-32(FDISFinalDraftInternationalStandard)ISO3534-31(1985)11Z8101-3:1999(ISO/FDIS3534-3:1999)1.28blocking(experimentalunit)1.112.31.principalfactors2.(pair)1.29randomizationJISZ8101-1:1999,2.651.30experimentalplan1.31designedexperiment1.32EVOPevolutionaryoperation,EVOPEVOPEVOP12Z8101-3:1999(ISO/FDIS3534-3:1999)1.33completelyrandomizeddesign1.34cubepoint(a1a2ak)1122.12k2.41.1.35starpoint(a1a2ak)αα0αα2k1.36centerpoint(a1a2ak)00(000)n01.37rotatability2.2.1fullfactorialexperiment;factorialexperiment1.2.3A2B4C3243.k13Z8101-3:1999(ISO/FDIS3534-3:1999)2332k294.2.1.1fractionalfactorialexperiment1/21/42.1.22two-levelexperiment22.1.2.12k2kfactorialexperimentk2424ABCD12ABCD1(1)2a3b4ab5c6ac7bc8abc9d10ad11bd12abd13cd14acd15bcd16abcd24162(standardYate’sorder)1.2914Z8101-3:1999(ISO/FDIS3534-3:1999)A2BCD18916JISZ81011111616812414610215711313591L162“(1)”24(ABCD)21(ABACADBCBDCD)32(ABCABDACDBCD)43(ABCD)AABABCD43.32.1.2.22kP2k-pfractionalfactorialexperiment2k(2P)1.2k2.P11/2(half-fraction)P21/4(quarter-fraction)3.2kPkkP1P21kP2kP2121P(generatingrelation)P2P1(definingrelation)2kP11662624(ABCD)EF2ABCDEABCFBCD4ABCEBCDFABC3ACDEG511ABCABCEBCDBCDF15Z8101-3:1999(ISO/FDIS3534-3:1999)1AD2.1.2.11EFE3ABCFBCDIABCEBCDFADEF2.1.3designresolution1.IIIIVVIII3I2IV222V222.kP[3]p.4102.1.2.2262IIAAIAIBBIBIA2B2C2EABCEEABCEIABCEFBCDIBCDFABCEBCDFADEFI4IV3.2.2screeningdesign1.1.2.1.2.22k