ISE 426-526 - Lecture 15 - Response Surface Designs

# ISE 426-526 - Lecture 15 - Response Surface Designs - ISE...

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1 ISE 426/526 Lecture 15 - 2007 Response Surface Methods Response Surface Methodology • Collection of mathematical and statistical techniques for modeling and analysis of problems in which a response of interest is influenced by several variables and it is desirable to optimize this response.

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2 First Order Model Second Order Model RSM Representations Figure 11-2, pg. 406
3 Sequential Nature of RSM Figure 11-3, pg. 407 Initial Objective: Lead Experimenter rapidly and efficiently along a path of improvement toward the general vicinity of the optimal Final Objective: To determine optimum operating conditions for system or where operating requirements are satisfied Fitting a First Order Response Surface

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4 Minitab Analysis Factorial Fit: Response versus A, B Estimated Effects and Coefficients for Response (coded units) Term Effect Coef SE Coef T P Constant 40.4250 0.1037 389.89 0.000 A 0.6500 0.3250 0.1037 3.13 0.035 B 1.5500 0.7750 0.1037 7.47 0.002 A*B -0.0500 -0.0250 0.1037 -0.24 0.821 Ct Pt 0.0350 0.1391 0.25 0.814 S = 0.207364 R-Sq = 94.27% R-Sq(adj) = 88.54% Analysis of Variance for Response (coded units) Source DF Seq SS Adj SS Adj MS F P Main Effects
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ISE 426-526 - Lecture 15 - Response Surface Designs - ISE...

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