实验设计分析第六版(美 道格拉斯-蒙哥马利)课后作业4.docVIP

实验设计分析作业4 机械电子工程 Home Work #4 (Class note 105, 106) Montgomery Problem 6-18 Montgomery Problem 6-26 Montgomery Problem 8-4 英文版题目6-18 （a）Factorial Fit: Etch rate versus A极距, B压强, C气流, D功率 Estimated Effects and Coefficients for Etch rate (coded units) Term Effect Coef Constant 776.06 A极距 -101.62 -50.81 B压强 -1.62 -0.81 C气流 7.37 3.69 D功率 306.13 153.06 A极距*B压强 -7.88 -3.94 A极距*C气流 -24.88 -12.44 A极距*D功率 -153.63 -76.81 B压强*C气流 -43.87 -21.94 B压强*D功率 -0.63 -0.31 C气流*D功率 -2.13 -1.06 A极距*B压强*C气流 -15.63 -7.81 A极距*B压强*D功率 4.12 2.06 A极距*C气流*D功率 5.62 2.81 B压强*C气流*D功率 -25.38 -12.69 A极距*B压强*C气流*D功率 -40.13 -20.06 Effects Plot for Etch rate According to Figure , Alpha=0.05 ,the factors of A, AD and D seem significant. Main Effects Plot (data means) for Etch rate Interaction Plot (data means) for Etch rate 结论：从主因子效应图看出A,D因子的效应比较显著；从因子交互作用看出，A*D的交互作用比其他的任何项的交互效应都大得多。 （b）General Linear Model: Etch rate versus A极距, D功率 Factor Type Levels Values A极距 fixed 2 -1, 1 D功率 fixed 2 -1, 1 Analysis of Variance for Etch rate, using Adjusted SS for Tests Source DF Seq SS Adj SS Adj MS F P A极距 1 41311 41311 41311 23.77 0.000 D功率 1 374850 374850 374850 215.66 0.000 A极距*D功率 1 94403 94403 94403 54.31 0.000 Error 12 20858 20858 1738 Total 15 531421 S = 41.6911 R-Sq = 96.08% R-Sq(adj) = 95.09% (c)Factorial Fit: Etch rate versus A极距, D功率 Estimated Effects and Coefficients for Etch rate (coded units) Term Effect Coef SE Coef T P Constant 776.06 10.42 74.46 0.000 A极距 -101.62 -50.81 10.42 -4.88 0.000 D功率 306.12 153.06 10.42 14.69 0.000 A极距*D功率 -