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《試驗(yàn)設(shè)計(jì)與數(shù)據(jù)處理》第三章:統(tǒng)計(jì)推斷3-13解:取假設(shè)H0:u1-u2^0和假設(shè)H1:u1-u2>0用sas分析結(jié)果如下:SampleStatisticsGroupNMeanStd.Dev.Std.Errorx80.2318750.01460.0051y100.20970.00970.0031HypothesisTestNullhypothesis:Mean1-Mean2=0Alternative:Mean1-Mean2a=0IfVariancesAretstatisticDfPr>tEqual3.878160.0013NotEqual3.70411.670.0032由此可見p值遠(yuǎn)小于0.05,可認(rèn)為拒絕原假設(shè),即認(rèn)為2個(gè)作家所寫的小品文中由3個(gè)字母組成的詞的比例均值差異顯著。3-14解:用sas分析如下:HypothesisTestNullhypothesis: Variance1/Variance2=1Alternative: Variance1/Variance2A=1-DegreesofFreedom-F Numer.Denom. Pr>F2.27 7 9 0.2501由p值為0.2501>0.05(顯著性水平),所以接受原假設(shè),兩方差無顯著差異第四章:方差分析和協(xié)方差分析4-1解:Sas分析結(jié)果如下:DependentVariable:ySourceModelDF4SumofSourceModelDF4SumofSquaresMeanSquare1480.823000 370.205750FValuePr>F40.88 <.0001ErrorCorrectedTotal1519135.8225001616.6455009.054833R-Square CoeffVar RootMSE yMean0.91598513.12023 3.009125 22.93500SourceDFAnovaSSMeanSquareFValuePr>Fc41480.823000370.205750 40.88 <,0001由結(jié)果可知,p值小于0.001,故可認(rèn)為在水平a=0.05下,這些百分比的均值有顯著差異。4-2解:TheGLMProcedureDependentVariable:RSumofSourceDFSquaresMeanSquareFValuePr>FModel1182.83333337.5303030 1.39 0.2895Error1265.00000005.4166667CorrectedTotal23147.8333333R-Square CoeffVar RootMSE RMean0.56031622.34278 2.327373 10.41667SourceDFTypeISSMeanSquareFValuePr>Fm244.3333333322.16666667 4.09 0.0442n311.500000003.83333333 0.71 0.5657m*n627.000000004.50000000 0.83 0.5684SourceDFTypeIIISSMeanSquareFValuePr>Fm244.3333333322.16666667 4.09 0.0442n311.500000003.83333333 0.71 0.5657m*n627.000000004.50000000 0.83 0.5684由結(jié)果可知,在不同濃度下得率有顯著差異,在不同溫度下得率差異不明顯,交互作用的效應(yīng)不顯著。4-4解:(1)不用協(xié)變量做方差分析

TheGLMProcedureDependentVanable:ySimiofSourceDFSquaresMeanSquareFValuePr>FModelErrorCorrectedTotal3 1041791667 347.263S89 1.3S20 J01SH56667 250.^0833323 <5059.938333R-Square 知^蹣 RootMSE yMeaM0171914 22.SS754 15.S4009 包2083302766SourceDFTypelSSMeanSquareFValuePr>Fy13300416&671.32026501的3.3方00002.7601120118J7500000070.7895SourceDFTypedSSMeanSquareFValuePr>FV1□□004166671J202650由分析結(jié)果可知,花的品種、溫度和兩者的交互作用對(duì)鮮花產(chǎn)量的影響都是不顯著的。1ir37500000070JS9J(2)引入?yún)f(xié)變量作萬差分析TheGLMProceduieDependentVariable:ySumofSourceDFSquaresMeanSquareFValuePr>FModel4□832.7190861458.179772121.92<0001Error19227.2392471L9J9M0CorrectsdTotal23W59.9jS333R-Square依液場 RootMSE yMean096250249MW7 3.45831S 69.20833SourceDFTypelSSMeanSquareFValuePr>Fy133004166727.150<0001勇1693.3煩。。.57.97<0001118.3750001.5402303514790.92741940058<0001SourceDFTypeHISSMeanSquareFValuePr>Fy1239442812000.17331479.288S6D4007<0001由分析結(jié)果可見,引入?yún)f(xié)變量后,-v、m、和x對(duì)鮮花產(chǎn)量的影響都是顯著地。第五章:正交試驗(yàn)設(shè)計(jì)

5-3解:用L9(34)確定配比試驗(yàn)方案:試驗(yàn)方案因素試驗(yàn)號(hào)ABCD11(0.1份)1(0.3份)1(0.2份)1(0.5份)212(0.4份)2(0.1份)2(0.3份)313(0.5份)3(0.1份)3(0.1份)42(0.3份)123522316231273(0.2份)1328321393321以1號(hào)條件為例,表中四個(gè)數(shù)值的組成比為:A:B:C:D=0.1:0.3:0.2:0.5配比方案中,要求各行四個(gè)比值之和為1。在1號(hào)條件中,四種數(shù)值分別是1 1A=0.1x =0.091B=0.3x =0.2720.1+0.3+0.2+0.5 0.1+0.3+0.2+0.511

C=0.2x =0.182D=0.5x =0.4550.1+0.3+0.2+0.5 0.1+0.3+0.2+0.5其余實(shí)驗(yàn)條件可按照相同方法得出。第六章:回歸分析6-6解:(1)作線性回歸分析結(jié)果如下:Depaident'Variable:yAnalysisofVaianoeSumofMeanSource DFSquaresSquareFValuePr>FModel 315.645005.21? 1J.17 00119Error 41375000.34375CorrectedTotal ':7.02000RwtMSE0JS630R-Square 09192DependaitMean9900000.8586g堀 5.92224ParameterEstimatesParameterStandardVariableDFEstimateErrortValueIntercept19900000207294?.76<000110J7J000.207292.7700J011OL550000.207292.6500J6S11.15000020729000J2

由分析結(jié)果得回歸方程為:y=9.90000+0.57500氣+0.55000x2+1.15000x3由p值都小于0.1可知,每項(xiàng)都是顯著的,方程也是顯著的。(2)StepwiseSelection:Step3VariableEntered:R-Square=0.9192and0(p)=4.0000AnalysisofVarianceSumofMeanPSourceDFSquaresSquareFValuePr>FModel315.645003215001117 00119Error41375000.34375CorrectsdTotal7n.02000ParameterStandardVariableEstimateErrorTypeUSSFValuePr>FIntercept9.900000.20729784-080002280.96<0001057JOO0207292.64:007.69O.OjOlOjjOOO0.207292.420007.0400j6Sx3.IL50000.2072910.j800030.780.0052BoundsonconditiDnminiber:1.9由分析結(jié)果可知,故所求方程為:6-9x3+0.57500x+由分析結(jié)果可知,故所求方程為:6-9x3+0.57500x+1.15000x己二二二二[.?:1二…:m己三二3二:】NumberPartialDependentVar理1e:yRanged加In R-Square晾敏螂Op)FValuePr11 06216 城徵14.73459.S6002012xl- Stepwise.Selection:Step-1904003.48012093qVariablet9Entered:R-Sqyare=0.3473^nd(p(p)=175.75177.040.0568ModelAnalysisofVarianceSumofMeanSourceDF SquaresSquareFValuePr>FModel1 76.2438976.24389 7.45 0.0163Error14 143.2837110.23455CorrectedTotal15 219.52760Parameter StandardVariableEstimate ErrorTypeIISSFValuePr>FIntercept8.22980 1.38618360.74949 35.25<.0001t90.01056 0.0038776.24389 7.450.0163

Boundsonconditionnumber:1,1StepwiseSelection:Step2Variablet13Entered:R-Square=0.6717andC(p)=84.4265AnalysisofVarianceSumofMeanSourceDF SquaresSquareFValuePr>FModel2 147.4655173.73276 13.30 0.0007Error13 72.062095.54324CorrectedTotal15 219.52760Parameter StandardVariableEstimate ErrorTypeIISSFValuePr>FIntercept18.33483 2.99803207.32264 37.40<.0001t90.01173 0.0028792.81733 16.740.0013t13-1.89938 0.5298971.22162 12.850.0033StepwiseSelection:Step3Variablet5Entered:R-Square=0.7627andC(p)=60.2727AnalysisofVarianceSumofMeanSourceDF SquaresSquareFValuePr>FModel3 167.4249255.80831 12.85 0.0005Error12 52.102684.34189CorrectedTotal15 219.52760Parameter StandardVariableEstimate ErrorTypeIISSFValuePr>FIntercept19.49941 2.70837225.06452 51.84<.0001t50.00163 0.0007617619.95941 4.600.0532t90.00728 0.0032821.44626 4.940.0462t13-2.19305 0.4885687.48515 20.150.0007Boundsonconditionnumber:1.8185,13.825Allvariablesleftinthemodelaresignificantatthe0.1500level.Noothervariablemetthe0.1500significancelevelforentryintothemodel.SummaryofStepwiseSelectionVariableVariableNumberPartialModelStepEnteredRemovedVarsInR-SquareR-SquareC(p)FValuePr>F

Step1t910.34730.3473175.7527.450.01632t1320.32440.671784.426512.850.00333t530.09090.762760.27274.600.0532由結(jié)果可知,y=19.49941+0.00163xx+0.00728XXx-2.19305X-12 24 310解:(1)散點(diǎn)圖如下:2015-v105-?.???246810 12 14可以采用Logistic擬合此數(shù)據(jù)。(2)用Logistic模擬結(jié)果為:DependentVariableyMethod:Gauss-NewtonSumofIterbcaSquares03.71802.000021.00001124.113.64081.849314.8393570.923.54751.668414.9977534.733.47041.520815.2362499.443.40461.396315.4814464.353.34691.288715.7348429.263.29551.194315.9985394.173.24911.110716.2735359.183.20691.036016.5601324.493.16840.969116.8579290.5103.13310.909117.1660257.6113.10080.855117.4829226.3123.07120.806717.8067196.8133.04420.763218.1349169.7143.01950.724218.4653145.1152.99710.689218.7951123.1162.97680.658019.1220104.0

172.95840.630019.443887.4241182.94200.605019.758673.4129192.92720.582720.064861.7148202.91400.562820.361052.0895212.90230.545020.646444.2826222.89200.529120.920338.0422232.88280.514921.182233.1304242.87480.502121.431929.3307252.86790.490721.669326.4509262.86180.480421.894624.3243272.85660.471122.107822.8087282.85220.462822.309421.7843292.84840.455322.499521.1514302.84530.448622.678720.8276312.84280.442522.847220.7456WARNING:Stepsizeshowsnoimprovement.WARNING:PROCNLINfailedtoconverge.EstimationSummary(NotConverged)MethodGauss-NewtonIterations31Subiterations29AverageSubiterations0.935484R0.653053PPC(c)0.012486TheNLINProcedureEstimationSummary(NotConverged)RPC.Object0.00394Objective20.74557ObservationsRead15ObservationsUsed15ObservationsMissing0NOTE:Aninterceptwasnotspecifiedforthismodel.SumofMeanApproxSourceDFSquaresSquareFValuePr>FRegression33245.51081.8625.77 <,0001Residual1220.74561.7288UncorrectedTotal153266.3CorrectedTotal14949.9ApproxParameterEstimateStdErrorApproximate95%ConfidenceLimitsb2.84280.004882.83212.8534c0.44250.003210.43550.4494a22.84720.574921.594724.0998

ApproximateCorrelationMatrixbcab1.00000000.7483922-0.2191675c0.74839221.0000000-0.4085662a-0.2191675-0.40856621.0000000故得二=二壬72p=2.8428y=0.4425第七章:回歸正交設(shè)計(jì)7-1解:n=9作變換X=+1=z—38.5=2z-77,則x1=1,x2=2,x3=3,…,x9=9。0.5 0.5并可設(shè)y=b0+b101(x)+b202(x)+b202(x)+b4中4(x)對(duì)于n=9,查附表6,利用SAS軟件進(jìn)行回歸多項(xiàng)式分析,結(jié)果如下:根據(jù)結(jié)果分析b0,b1,b2的P值小于0.05,是顯著的,TheSASSystem21:16Wednesday,November14,2010TheORTHOREGProcedureDependentVariable:y12.072222222222220.030668717512.072222222222220.030668717567.57<.000110.11950.011877943210.060.000510.015277777777770.00174751248.740.00091-0.006292929292920.0029241475-2.150.097810.000174825174820.00205629220.090.9363b3,b4的P值大于0.05是不顯著的,所以只需要配要二次項(xiàng)就行了。當(dāng)n=9時(shí),有:中(x)=入。(x)=x—511中(x)=m(X)=3X(x2—10x+758)=3x2—30x+37922 6SourceDFSumofSquaresMeanSquareFValuePr>FModelErrorCorrectedTotal1.54309502720.03386052841.57695555560.38577375680.008465132145.570.0014RootMSE 0.0920061525R-Square 0.9785278121VariableDFParameterEstimateStandardError\:ValuePr>|t|y=b+b甲(x)+b中(x)=2.07222 +0.1195x(x—5)+0.01528x(3x2—30x+379)將X=2乙-77代入上式得所求多項(xiàng)式回歸方程:y=304.5489-14.79452z+0.18336z23解:本題屬于一次回歸的正交設(shè)計(jì)采用二水平,做變換:X1=土辿,x2=土史,、3=土奏1,x4=土史10 5 25 10試驗(yàn)方案試驗(yàn)號(hào)x1x2x3x4y'111115.4211-1-13.431-11-10.84-1-1-110.35-111-1-2.56-11-11-17-1-111-3.38-1-1-1-1-3.6程序如下:dataE1;inputx1-x4y;cards;11115.411-1-13.41-11-10.81-1-110.3-111-1-2.5-11-11-1-1-111-3.3-1-1-1-1-3.6;procregdata=E1;modely=x1-x4;run;TheSASSystem22:08Wednesday,November14,2010 1TheREGProcedureModel:MODEL1DependentVariable:yAnalysisofVarianceSourceDFSumofSquaresMeanSquareFValuePr>FModel468.4850017.1212512.730.0317Error34.033751.34458CorrectedTotal 772.51875RootMSE1.15956R-Square0.9444DependentMean-0.06250AdjR-Sq0.8702CoeffVar-1855.29872ParameterEstimatesVariableDFParameterEstimateStandardErrortValuePr>ItlIntercept1-0.062500.40997-0.150.8885xl12.537500.409976.190.0085x211.387500.409973.380.0430x310.162500.409970.400.7183x410.412500.409971.010.3885y"=-0.0625+2.5370x1+1.38750x2+0.16250x3+0.41250x4即y—87=-0.0625+2.5370"—310+1.38750七2—25+0.16250七3—225+0.41250'4—9010 5 25 10y=—3.822+0.2537z1+0.2775z2+0.0065z3+0.041250z4第八章:均勻設(shè)計(jì)1解:安排方案如下:^素試驗(yàn)號(hào)^^\_Z1Z2Z312.06002423.48002234.85002046.270018第九章:單純形優(yōu)化設(shè)計(jì)9-1解:(1)反射點(diǎn)E的坐標(biāo)(5,10,0)3(2)(i)擴(kuò)大,a>1(ii)內(nèi)收縮,a<0(iii)收縮,0<a<1(3) 新單純形各點(diǎn)坐標(biāo)B(2,4,3),A’(1.5,3,3.5),C’(2.5,2.5,2.5),D”(3,3.5,2)。

第十章:析因試驗(yàn)設(shè)計(jì)10-4解:分析結(jié)果如下:ANOVAforY1SourceMasterModelPredictiveModelDF88MSFPr>FDF88MSFPr>FXIX2X3X1*X1X1*X2X1*X3X2*X2X2*X3X3*X310.4050.781255.6112534.441632.4926.0131.68006109.202538.50160.4050.781255.6112534.441632.4926.0131.68006109.202538.50160.3959590.763815.48598733.6727431.7647125.4293630.97285106.764737.642110.5568110.4221230.0661970.0021430.0024380.0039580.0025780.0001460.0016710.4050.781255.6112534.441632.4926.0131.68006109.202538.50160.4050.781255.6112534.441632.4926.0131.68006109.202538.50160.3959590.763815.48598733.6727431.7647125.4293630.97285106.764737.642110.5568110.4221230.0661970.0021430.0024380.0039580.0025780.0001460.00167ModelErrorTotal265.20985.114167270.32429.467761.02283328.809930.000874265.20985.114167270.32429.467761.02283328.809930.000874FitStatisticsforY1MasterMode1PredictiveMode1MeanR-squareAdj.R-squareRMSE 1.CV 3.32.5298.11需94.70^01135210993932.5298.11^94.70^1.0113523.109939AliasStructureforY1MasterModelPredictiveModelNoeffect;jaliased.Noeffectsaliased.PredictiveModelforY1Pnrl^rlIajuIsf-11、■EffectEstimatesforY1TermMasterModelPredictiveModelEstimateStdErrtPr>|t|EstimateStdErrtPr>|t|XI-0.2250.357567-0.629250.556811-0.2250.357567-0.629250.556811X2-0.31250.357567-0.873960.422123-0.31250.357567-0.873960.422123X3-0.83750.357567-2.342220.066197-0.83750.357567-2.342220.066197-3.0541670.526324-5.802820.002143-3.0541670.526324-5.802820.002143-2.050.505676-5.636020.002438-2.850.505676-5.636020.002438-2.550.505676-5.042750.003958-2.550.505676-5.042750.003958心觀-2.9291670.526324-5.565330.002578-2.9291670.526324-5.565330.002578海楸3-5.2250.505676-10.33270.000146-5.2250.505676-10.33270.000146X3楸3-3.2291670.526324-6.135320.00167-3.2291670.526324-6.135320.00167經(jīng)分析可知,在a=0.05的情況下,一次項(xiàng)均不顯著,二次項(xiàng)、交互項(xiàng)均是顯著的。第十二章:多指標(biāo)綜合評(píng)價(jià)概論12-4解:記P(U<Ua)=?,其中優(yōu)等品10件,一等品30件,二等品40件,20件三等品,所有標(biāo)準(zhǔn)分依次是—U;-U;U;U,查標(biāo)準(zhǔn)正態(tài)表得到標(biāo)準(zhǔn)分依次是:-1.64,-0.67,0.25;1.28;第十三章:主成分分析法和因子分析法ppt第一題解:利用SAS軟件進(jìn)行主成分分析主要輸出結(jié)果如下:EigenvalueDifferenceProportionCumulative3.104912520.207470900.38810.38812.897441621.967226080.36220.75030.930215550.288093290.11630.06660.642122260.338038130.08030.94680.304084130.217486370.03800.98480.006597760.054413330.01080.99570.032184380.028742610.00400.99870.002441780.00031.000014:39Monday,December5,2010EigenvaluesoftheCorrelationMatrix12345678ThePRINCOMPProcedureEigenvectorsPrinlPrin2Prin3Prin4Prin5Prin6Prin7Prin8xl0.4766500.2959910.1041900.045303-.184219-.0658540.7576190.245000x20.4728080.2778940.162883-.1744310.305448-.048451-.5184130.527105x30.4230450.3779510.1562550.0506700.0174750.099048-.174045-.780540x4-.2128930.451408-.0085440.516086-.5394070.287855-.2494270.220126x5-.3884600.3308450.321133-.1894160.4488980.5822880.2328690.030623x6-.3524270.4027370.1451440.2792570.316035-.7135710.056436-.042355x70.214835-.3774150.1404590.7581690.4182010.1935870.0528420.041160x80.0550340.272736-.8911620.0718550.3222010.1221680.067111-.003300要求累積方差貢獻(xiàn)率N85%,所以取前三個(gè)作為主成分即可,Prin1=0.476650x1+0.472808x2+0.423845x3...+0.055034x8Prin2=0.295991x1+0.277894x2+0.377951x3...+0.272736x8Prin3=0.104190x1+0.162983x2+0.156255x3...-0.891162x8第一主成分,各項(xiàng)數(shù)值彼此相差不大,表示各單項(xiàng)指標(biāo)對(duì)綜合的經(jīng)濟(jì)效益起著相當(dāng)?shù)淖饔茫虼说谝恢鞒煞挚梢岳斫鉃槿婺芰C合指標(biāo);第二主成分,指標(biāo)x4的系數(shù)明顯比其它的指示系數(shù)大,而且系數(shù)為正,表明第二主成分主要由x4決定;第三主成分,指標(biāo)x8的系數(shù)明顯比其它的指示系數(shù)大,而且系數(shù)為負(fù)的,表明第三主成分主要是反應(yīng)與x8相反的指標(biāo)。

November23,2010 8排序結(jié)果為如下:November23,2010 8ObsnamePrinlPrin2Prin3prin123rankprin12314(?m22.789091.413571.12043i.99053'l31口避紉)2.118340.20704-0.010271.03463241.106820.658430.356070.81879351.12000-0.277290.303220.42604460.88156-0.528740.072080.18359571(若耄)-1.052181.276860.659050.1506668-3.372333.706520.108860.053117913位教藝術(shù)用品)0.413730.44054-2.92320-0.022220100.37240-0.77274-0.43574-0.214569116(&)-0.93583-1.38400-0.20544-1.0252910122Si)-1.33533-2.164340.45585-1.4410411133(麒)-2.10809-2.575850.49910-1.9542512TheSASSystem20:40Friday,第十四章:模糊綜合評(píng)價(jià)14-1解:單指標(biāo)評(píng)價(jià)結(jié)果歸一化處理得:0414一999151一—0—399142R=——0399210——033180——099權(quán)向量a=(0.300.250.150.200.10)a?R=(0.1333,0.4833,0.2223,0.1611)根據(jù)最大隸屬度原則0.48333所對(duì)應(yīng)的評(píng)語為一般。根據(jù)秩加權(quán)平均原則,用1、2、3、4分別代表差、一般、良好、優(yōu),A=1X0.1611+2X0.2223+3X0.4833+4X0.1333=2.588得A=2.2588,即位于一般與良好之間,且該食品一般偏良。100X0.1611+80X0.2223+60X0.4833+40X0.1333=68.2245評(píng)分值為:P=68.2245分。第十五章:聚類分析與判別分析

15-3解:用動(dòng)態(tài)聚類的方法來分類,結(jié)果如下:TheFASTCLUSProcedureInitialSeedsClusterxlqx3x4x5x6114-0000000013.000000002810000000014-0000000022.0000000039.00000000220_(MW(W016.000000002.0000000038.OOOOOOOO的.3000000037.000000009-0000000020.0000000023.00000000ClusterListing如ClusterSeed:103463212.0539312.1323430163676619.9145120S110L6D8S9113173710197364第一類:學(xué)生編號(hào){1,2,3,5,6,8,9,10};第二類:學(xué)生編號(hào){7};第三類:學(xué)生編號(hào){4}。15-6解:PosteriorProbabi1ityofMembershipinspeciesClaaaifiedFromintoyearspeciesspecies1231951110.98040.00280.0168185223卅0.00020.82210.6777185821卅0.67880.18270.12751954220.00400.59610.39991955220.10370.80650.08981956330.00060.12410.87531857110.88890.00060.01061858880.07140.16580.76271858880.00120.08720.8015196032卅0.00010.62700.37301961330.11350.41560.47091962110.88510.09130.02361868220.00010.81510.08481864110.84470.01640.08881965110.81630.07700.10661966110.99370.00060.00571967110.99070.00220.00711968330.06900.02530.9056186882卅0.18240.55780.26081870880.04120.81640.64241971330.03610.05130.91261972330.06200.02340.91461973330.01150.25870.72971874220.01520.50580.47801875220.00010.68850.81641976330.00060.09800.90141977110.57740.03440.3882197823卅0.00390.17860.81751979330.00010.40200.5979

NumberofObservationsandPercentClassifiedintospeciesFromspecies123Total1100.000.000.00100.00212.5062.5025.00100.0030.0015.3884.6213100.00Total31.0324.141344.8329100.00Priors0.275860.275860.44828123TotalRate0.00000.37500.15380.1724Priors0.27590.27590.4483ErrorCountEstimatesforspecies第十六章:典型相關(guān)分析ppt第一題解:對(duì)44名學(xué)生期末成績開卷和并卷進(jìn)行典型相關(guān)分析,結(jié)果如下:5,2010 1ionsinthearezeroDFPr>F780.00225,2010 1ionsinthearezeroDFPr>F780.0022400.8312TheCANCORRProcedureCanonicaICorrelationAnalysisCanonica1CorrelationAdjustedCanonica1CorrelationApproximateStandardEr

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