Mixture Design Tutorials - Statease.info

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Mixture Optimization Tutorial This tutorial shows the use of Design-Expert software for optimization of mixture experiments. It’s based on the data from the preceding tutorial. You should go back to this section if you’ve not already completed it. For details on optimization, use the on-line program Help. Also, Stat-Ease provides indepth training in its Mixture Designs for Optimal Formulation workshop. Call for information on content and schedules, or better yet, visit our web site at www.statease.com. Start the program by finding and double clicking on the Design-Expert software icon. The detergent design, response data and appropriate response models are stored in a file named Mix-a.dx6. To load this file, use the File, Open Design menu item. File, Open Dialog Box Once you have found the proper drive, directory and file name, click on Open to load the data. To see a description of the data analysis, click on the Status icon under the design node. Design Status Screen 7-24 • Mixture Design Tutorials Design-Expert 6 User’s Guide
Numerical Optimization Rev. 5/10/02 The file you loaded includes analyzed models as well as the raw data for each response. Recall that the formulators chose a three-component simplex design to study a detergent formulation. The components were water, alcohol and urea. The experimenters held all other ingredients constant. They measured two responses: viscosity and turbidity. You will optimize the mixture using their analyzed models. From the design status screen you can see that we modeled viscosity with a quadratic mixture model and turbidity with a special cubic model. Design-Expert software’s numerical optimization will maximize (or minimize): • A single response • A single response, subject to upper and/or lower boundaries on other responses • Combinations of two or more responses. We will lead you through a multiple response optimization (the latter option on the list above). For an in-depth discussion of how Design-Expert does numerical optimization see the on-line Help system. Press the Numerical optimization node to start the process. Setting Numerical Optimization Criteria Now you get to the crucial phase of numerical optimization: assignment of optimization parameters. For each component and response, you can establish a goal as well as set lower and upper limits. These three parameters will be used to assign desirability indices (di), which range from zero to one. Design-Expert can then search for the Design-Expert 6 User’s Guide Mixture Design Tutorials • 7-25
Page 1 and 2: Section 7 - Mixture Design Tutorial
Page 3 and 4: Rev. 5/10/02 and High fields, press
Page 5 and 6: Save the Data to a File Rev. 5/10/0
Page 7 and 8: Edit the Design Notice that the rea
Page 9 and 10: Analyze the Results Rev. 5/10/02 Op
Page 11 and 12: Rev. 5/10/02 You may need to widen
Page 13 and 14: Rev. 5/10/02 At this stage you coul
Page 15 and 16: Review Diagnostic Graphs Diagnostic
Page 17 and 18: Trace Plot Contour Plots Select Vie
Page 19 and 20: Incremental Option for Contour Leve
Page 21 and 22: Standard Error Plot Rev. 5/10/02 No
Page 23: Analyze the Data for the Second Res
Page 27 and 28: These settings create the following
Page 29 and 30: shown. Likewise, moving the bar to
Page 31 and 32: Rev. 5/10/02 you view the 3D surfac
Page 33 and 34: Rev. 5/10/02 The high resolution ma
Page 35 and 36: Rev. 5/10/02 Select POE (Turbidity)
Page 37 and 38: Setting Criteria for Graphical Opti

Mixture Design Tutorials - Statease.info

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