回归正交试验设计优化提取工艺

1、回归正交试验设计优化提取工艺在研究在某提纯工艺中，发现杂质Y的产生量受温度、压力、提取时间显著影响。研究结果表明这种提纯工艺的的工作条件，其温度为：X1=5090，压力为X2=48 MPa，提取时间为X3=13hour，试分析最优提纯工艺参数。SAS分析程序data;input NO F1 F2 F3 X1 X2 X3 Y;cards; 1 1 1 1 85.54 7.55 2.78 0.0947 2 1 1 -1 85.54 7.55 1.22 0.0903 3 1 -1 1 85.54 4.45 2.78 0.0987 4 1 -1 -1 85.54 4.45 1.22 0.0907 5

2、-1 1 1 54.46 7.55 2.78 0.0902 6 -1 1 -1 54.46 7.55 1.22 0.0892 7 -1 -1 1 54.46 4.45 2.78 0.0904 8 -1 -1 -1 54.46 4.45 1.22 0.0877 9 -1.2872 0 0 50 6 2 0.085710 1.2872 0 0 90 6 2 0.090411 0 -1.2872 0 70 4 2 0.086912 0 1.2872 0 70 8 2 0.089513 0 0 -1.2872 70 6 1 0.087614 0 0 1.2872 70 6 3 0.091615 0 0

3、 0 70 6 2 0.088616 0 0 0 70 6 2 0.0889;proc rsreg; model Y = X1-X3 / lackfit;proc rsreg; model Y = F1-F3 / lackfit;run;SAS分析结果：与文献的分析过程有些出入，存在极小值点，文献的最大值点在边界（X1 = 90，X2 = 5，X3 = 3）上取得极大值，本人认为不可靠。 The RSREG Procedure Coding Coefficients for the Independent Variables Factor Subtracted off Divided by X

4、1 70.000000 20.000000 X2 6.000000 2.000000 X3 2.000000 1.000000 Response Surface for Variable Y Response Mean 0.090069 Root MSE 0.001558 R-Square 0.8992 Coefficient of Variation 1.7293 Type I Sum Regression DF of Squares R-Square F Value Pr F Linear 3 0.000086484 0.5989 11.88 0.0062 Quadratic 3 0.00

5、0026341 0.1824 3.62 0.0843 Crossproduct 3 0.000017034 0.1180 2.34 0.1727 Total Model 9 0.000130 0.8992 5.95 0.0209 Sum of Residual DF Squares Mean Square F Value Pr F Lack of Fit 5 0.000014511 0.000002902 64.49 0.0942 Pure Error 1 4.5E-8 4.5E-8 Total Error 6 0.000014556 0.000002426 Parameter Estimat

6、e Standard from Coded Parameter DF Estimate Error t Value Pr |t| Data Intercept 1 0.109935 0.021121 5.20 0.0020 0.087545 X1 1 -0.000361 0.000420 -0.86 0.4229 0.002611 X2 1 -0.001454 0.003800 -0.38 0.7152 0.000029023 X3 1 -0.012407 0.006100 -2.03 0.0882 0.002411 X1*X1 1 0.000003499 0.000002753 1.27 0

7、.2508 0.001400 X2*X1 1 -0.000029580 0.000022862 -1.29 0.2433 -0.001183 X2*X2 1 0.000386 0.000276 1.40 0.2111 0.001545 X3*X1 1 0.000089719 0.000045431 1.97 0.0957 0.001794 X3*X2 1 -0.000548 0.000455 -1.20 0.2743 -0.001096 X3*X3 1 0.002956 0.001098 2.69 0.0359 0.002956 The RSREG Procedure Sum of Facto

8、r DF Squares Mean Square F Value Pr F X1 4 0.000063995 0.000015999 6.59 0.0219 X2 4 0.000012332 0.000003083 1.27 0.3769 X3 4 0.000070499 0.000017625 7.27 0.0175 The RSREG Procedure Canonical Analysis of Response Surface Based on Coded Data Critical Value Factor Coded Uncoded X1 -1.007669 49.846629 X2 -0.461783 5.076435 X3 -0.187574 1.812426 Predicted value at stationary point: 0.085997 Eigenvectors Eigenvalues X1 X2 X3 0.003635