Mixture Design Tutorials - Statease.info

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Running the Optimization Start the optimization by clicking on the Solutions button. After grinding through ten cycles of optimization, the results appear. Each solution generated meets all your criteria, with varying degrees of desirability. For each solution you want to look at: • Factors - the composition at this optimum. • Responses - the value of each response at this optimum. • Desirability - the value at this optimum (ideally 1.0). Design-Expert sorts the results for you. It shows the best solution first in report format. You get a summary of all the cycles. If the report doesn’t fit in the window, move your cursor to the left border and drag it open. In addition to the solutions, the report includes a recap of your optimization specifications as well as the random starting points for the search. Your results will most likely NOT perfectly match those shown here. Also, the number of solutions generated may be different. Optimization Report (Your results may differ) You should see at least one outcome at the bottom of the list of solutions that’s inferior to the others. It will have a desirability well below the ideal of one. There may also be some duplicates. These passed through the filter discussed earlier. If you want to adjust the filter, go to the Options button and change the Duplicate Solutions Filter. Remember that if you move the filter bar to the right you will decrease the number of solutions 7-28 • Mixture Design Tutorials Design-Expert 6 User’s Guide
shown. Likewise, moving the bar to the left increases the number of solutions. Go ahead run and check Solutions with the filter set at one end or the other. Rev. 5/10/02 The report on Solutions comes in two other formats – Ramps and Histograms. Click on the Ramps option for a very handy display that shows solutions in the context of desirability functions. Optimization solutions, Ramps Option In this case you may find as many as three distinct optimums. Because the software begins its search at a random starting point, you may get somewhat different results than those shown in this manual. The program will try to eliminate duplicates, but due to the presence of plateaus (indicated by the multiple solutions with a desirability of one) you may see several solutions that differ slightly. The red dots indicate settings of input factors and the resulting predictions for each response. Now press the different solution buttons while watching the dots. Do they change much? Now choose the Histogram option. Although not particularly interesting in this case, the histogram shows graphically how well each factor and response achieved its goal. Design-Expert 6 User’s Guide Mixture Design Tutorials • 7-29
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 and 24: Analyze the Data for the Second Res
Page 25 and 26: Numerical Optimization Rev. 5/10/02
Page 27: These settings create the following
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

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