实验设计与数据处理第八章例题及课后习题答案doc资料

例8-1,,,,,,,,,,,,

,试验号,z1,z2,z1z2,z3,z1z3,灰化温度x1/℃,原子化温度x2/℃,灯电流x3/mA,x1x2,x1x3,吸光度yi

,1,1,1,1,1,1,700,2400,10,1680000,7000,0.552

,2,1,1,1,-1,-1,700,2400,8,1680000,5600,0.554

,3,1,-1,-1,1,1,700,1800,10,1260000,7000,0.48

,4,1,-1,-1,-1,-1,700,1800,8,1260000,5600,0.472

,5,-1,1,-1,1,-1,300,2400,10,720000,3000,0.516

,6,-1,1,-1,-1,1,300,2400,8,720000,2400,0.532

,7,-1,-1,1,1,-1,300,1800,10,540000,3000,0.448

,8,-1,-1,1,-1,1,300,1800,8,540000,2400,0.484

,SUMMARYOUTPUT,,,,,,,,,,,

,,,,,,,,,,,,,

,回归统计,,,,,,,,,,,

,MultipleR,0.994230144,,,,,,,,,,

,RSquare,0.988493579,,,,,,,,,,

,AdjustedRSquare,0.959727528,,,,,,,,,,

,标准误差,0.007905694,,,,,,,,,,

,观测值,8,,,,,,,,,,

,方差分析,,,,,,,,,,,

,,df,SS,MS,F,SignificanceF,,显著性,SST,,,

,z1,1,0.0007605,0.0007605,12.168,,,,0.0108635,,,

,z2,1,0.0091125,0.0091125,145.8,,,**,,,,

,z3,1,0.0001805,0.0001805,2.888,,,,,,,

,z1z2,1,0.0002645,0.0002645,4.232,,,,,,,

,z1z3,1,0.0004205,0.0004205,6.728,,,,,,,

,回归分析,5,0.0107385,0.0021477,34.3632,0.028518282,,*,,,,

,残差,2,0.000125,0.0000625,,,,,,,,

,总计,7,0.0108635,,,,,,,,,

,,,,,,,,,,,,,

,,Coefficients,标准误差,tStat,P-value,Lower95%,Upper95%,下限95.0%,上限95.0%,,,

,Intercept,0.50475,0.002795085,180.5848499,3.06632E-05,0.49272372,0.51677628,0.49272372,0.51677628,,,

,z1,0.00975,0.002795085,3.488266045,0.07326551,-0.00227628,0.02177628,-0.00227628,0.02177628,,,

,z2,0.03375,0.002795085,12.07476708,0.006788945,0.02172372,0.04577628,0.02172372,0.04577628,,,

,z1z2,0.00475,0.002795085,1.699411663,0.231342275,-0.00727628,0.01677628,-0.00727628,0.01677628,,,

,z3,-0.00575,0.002795085,-2.057182539,0.175939481,-0.01777628,0.00627628,-0.01777628,0.00627628,,,

,z1z3,0.00725,0.002795085,2.593838854,0.122017979,-0.00477628,0.01927628,-0.00477628,0.01927628,,,

,回归方程：,y=0.50475+0.00975z1+0.03375z2+0.00475z1z2-0.00575z3+0.00725z1z3,,,,,,,,,,

,由该回归方程中偏回归系数绝对值的大小，可以得到各因素和交互作用的主次顺序为：,,,,,,,x2>x1>x1x3>x3>x1x2,,,,

,由方差分析的结果可知，只有z2因素对试验指标有非常显著的影响，故可把其他因素归入残差项，重新进行方差分析得到如下表：,,,,,,,,,,,

,第二次方差分析表,,,,,,,,,,,

,,df,SS,MS,F,显著性,,,,,,

,z2,1,0.0091125,0.0091125,33.62546125,**,,,,,,

,残差e',6,0.001626,0.000271,,,,,,,,

,总计,7,0.0108635,,,,,,,,,

,因素z2对试验指标y有非常显著的影响，因此回归方程可以简化为：,,,,,,,,,,,

,y=0.50475+0.03375z2,,,,,,,,,,,

,"又z2=(x2-2100)/300,回带得方程y=0.2685+0.0001125x2",,,,,,,,,,,

例8-2,,,,,,,,,,,,

,试验号,z1,z2,z3,提取率y/%,,,,,,,

,1,1,1,1,8,,,,,,,

,2,1,1,-1,7.3,,,,,,,

,3,1,-1,1,6.9,,,,,,,

,4,1,-1,-1,6.4,,,,,,,

,5,-1,1,1,6.9,,,,,,,

,6,-1,1,-1,6.5,,,,,,,

,7,-1,-1,1,6,,,,,,,

,8,-1,-1,-1,5.1,,,,,,,

,9,0,0,0,6.6,,,,,,,

,10,0,0,0,6.5,,,,,,,

,11,0,0,0,6.6,,,,,,,

,SUMMARYOUTPUT,,,,,,,,,,,

,,,,,,,,,,,,,

,回归统计,,,,,,,,,,,

,MultipleR,0.990265441,,,,,,,,,,

,RSquare,0.980625644,,,,,,,,,,

,AdjustedRSquare,0.972322348,,,,,,,,,,

,标准误差,0.121074733,,,,,,,,,,

,观测值,11,,,,,,,,,,

,方差分析,,,,,,,,,,,

,,df,SS,MS,F,SignificanceF,,显著性,,,,

,z1,1,2.10125,2.10125,143.3410853,,,**,,,,

,z2,1,2.31125,2.31125,157.6666667,,,**,,,,

,z3,1,0.78125,0.78125,53.29457364,,,**,,,,

,回归分析,3,5.19375,1.73125,118.1007752,2.33894E-06,,**,,,,

,残差,7,0.102613636,0.014659091,,,,,,,,

,总计,10,5.296363636,,,,,,,,,

,,,,,,,,,,,,,

,,Coefficients,标准误差,tStat,P-value,Lower95%,Upper95%,下限95.0%,上限95.0%,,,

,Intercept,6.618181818,0.036505405,181.2932012,4.10031E-14,6.531860251,6.704503385,6.531860251,6.704503385,,,

,z1,0.5125,0.042806382,11.97251374,6.45691E-06,0.41127899,0.61372101,0.41127899,0.61372101,,,

,z2,0.5375,0.042806382,12.5565388,4.68777E-06,0.43627899,0.63872101,0.43627899,0.63872101,,,

,z3,0.3125,0.042806382,7.300313257,0.000162717,0.21127899,0.41372101,0.21127899,0.41372101,,,

,回归方程：,y=6.618+0.5125z1+0.5375z2+0.3125z3,,,,,,,,,,

,由该回归方程中偏回归系数绝对值的大小，可以得到各因素和交互作用的主次顺序为：,,,,,,,x3>x1>x2,,,,

,由方差分析的结果可知，z1z2z3三个因素对试验指标都有非常显著的影响，所建立的方程也非常显著。,,,,,,,,,,,

,失拟性检验,,,,,,,,,,,

,差异源,SS,df,MS,F,F0.1,,,,,,

,失拟（Lf）,0.09594697,5,0.019189394,5.756818182,9.25,,,,,,

,重复试验（e1）,0.006666667,2,0.003333333,,,,,,,,

,"由FLf<F0.1=9.25,故失拟性不显著，回归模型与实际情况拟合得很好。",,,,,,,,,,,

,回归方程的回带,,,,,,,,,,,

,z1=(x1-70)/10,z2=(x2-70)/2,z3=(x3-2)/1,,,,,,,,,

,整理后得：,,,,,,,,,,,

,y=-0.2818+0.05125x1+0.26875x2+0.3125x3,,,,,,,,,,,

例8-3,,,,,,,,,,,,

,试验号,z1,z2,z1z2,z1',z2',y,z12,z22,,,

,1,1,1,1,0.3675832,0.3675832,423,1,1,,,

,2,1,-1,-1,0.3675832,0.3675832,486,1,1,,,

,3,-1,1,-1,0.3675832,0.3675832,418,1,1,,,

,4,-1,-1,1,0.3675832,0.3675832,454,1,1,,,

,5,1.078,0,0,0.5296672,-0.6324168,491,1.162084,0,,,

,6,-1.078,0,0,0.5296672,-0.6324168,472,1.162084,0,,,

,7,0,1.078,0,-0.6324168,0.5296672,428,0,1.162084,,,

,8,0,-1.078,0,-0.6324168,0.5296672,492,0,1.162084,,,

,9,0,0,0,-0.6324168,-0.6324168,512,0,0,,,

,10,0,0,0,-0.6324168,-0.6324168,509,0,0,,,

,∑zi2,6.324168,6.324168,,,,,,,,,

,SUMMARYOUTPUT,,,,,,,,,,,

,,,,,,,,,,,,,

,回归统计,,,,,,,,,,,

,MultipleR,0.997863793,,,,,,,,,,

,RSquare,0.99573215,,,,,,,,,,

,AdjustedRSquare,0.990397338,,,,,,,,,,

,标准误差,3.484618488,,,,,,,,,,

,观测值,10,,,,,,,,,,

,方差分析,,,,,,,,,,,

,,df,SS,MS,F,SignificanceF,,,,,,

,,,,,,,,,,,,,

,,,,,,,,,,,,,

,,,,,,,,,,,,,

,,,,,,,,,,,,,

,,,,,,,,,,,,,

,回归分析,5,11331.92974,2266.385947,186.6480236,7.93488E-05,,,,,,

,残差,4,48.57026404,12.14256601,,,,,,,,

,总计,9,11380.5,,,,,,,,,

,,,,,,,,,,,,,

,,Coefficients,标准误差,tStat,P-value,Lower95%,Upper95%,下限95.0%,上限95.0%,,,

,Intercept,468.5,1.10193312,425.1619191,1.83619E-10,465.4405432,471.5594568,465.4405432,471.5594568,,,

,z1,9.089258856,1.385649972,6.55956341,0.002793762,5.242077774,12.93643994,5.242077774,12.93643994,,,

,z2,-26.5634942,1.385649972,-19.17042163,4.36302E-05,-30.41067528,-22.71631312,-30.41067528,-22.71631312,,,

,z1z2,0,1.742309244,0,1,-4.837425972,4.837425972,-4.837425972,4.837425972,,,

,z1',0,2.12013414,0,1,-5.886436056,5.886436056,-5.886436