Design of Experiments Webinar
Transcript of Design of Experiments Webinar
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Neil W. Polhemus, CTO, StatPoint Technologies, Inc.
Design of Experiments Using
Statgraphics Centurion
Copyright 2011 by StatPoint Technologies, Inc.
Web site: www.statgraphics.com
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Design of Experiments Wizard
Phase 1: Creating an experiment
Phase 2: Analyzing the results
Phase 3: Further experimentation
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Phase 1: Creating an experiment
Phase 1: Creating an experiment Step 1: Define responses
Step 2: Define experimental factors
Step 3: Select design
Step 4: Specify model
Step 5: Select runs
Step 6: Evaluate design
Step 7: Save design
Phase 2: Analyzing the results
Phase 3: Further experimentation
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Phase 2: Analyzing the results
Phase 1: Creating an experiment
Phase 2: Analyzing the results
Step 8: Analyze data
Step 9: Optimize responses
Step 10: Save results
Phase 3: Further experimentation
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Phase 3: Further experimentation
Phase 1: Creating an experiment
Phase 2: Analyzing the results
Phase 3: Further experimentation
Step 11: Augment design Step 12: Extrapolate
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x mple from Response SurfaceMethodology by Myers andMontgomery
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Find the settings of time, temperature and catalyst that maximizethe conversion percentage of a chemical process while keepingthe thermal activity as close as possible to 57.5.
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DOE Wizard Main Window
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Step 1: Define responses
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Step 2: Define experimental factors
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Step 3: Select design
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Step 3: Select design (cont.)
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Step 3: Select design (cont.)
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Step 3: Select design (cont.)
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Datasheet
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Step 4: Select model
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Step 5: Select runs (D-optimal
design only)
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Step 6: Evaluate design
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Plot of design space
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RSM Example
8.3 10.3 12.3 14.3 16.3 18.3
time
160170180
190200
210
temperature
1.6
1.9
2.2
2.5
2.8
3.1
3.4
catalyst
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Prediction variance plot
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Prediction Variance Plotcatalyst=2.5
8.110.1
12.1 14.116.1
18.1time
150170
190
210
230
temperature
0
0.2
0.4
0.6
0.8
1
Stnd.error
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Power curve
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Power Curve for A:time
alpha = 5.0%, sigma estimated from total error with 10 d.f.
-4 -2 0 2 4True effect/sigma
0
0.2
0.4
0.6
0.8
1
Probability
ofdetect
ion
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Do the experiment!
Then enter the results:
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Step 8: Analyze data
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Step 8: Analyze data (cont.)
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ANOVA table
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Pareto chart
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Standardized Pareto Chart for conversion
0 2 4 6 8
Standardized effect
A:time
AB
AA
BC
BB
B:temperature
CC
C:catalyst
AC +
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Exclude effects
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Final models
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Standardized Pareto Chart for conversion
0 2 4 6 8
Standardized effect
A:time
BC
BB
B:temperature
CC
C:catalyst
AC +
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Standardized Pareto Chart for thermal activity
0 2 4 6 8 10
Standardized effect
AA
C:catalyst
A:time
+
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Step 9: Optimize responses
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Step 9: Optimize responses (cont.)
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Step 9: Optimize responses (cont.)
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3-D contour plot
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Desirability Plotcatalyst=2.31889
8.1 10.1
12.1 14.1 16.1 18.1
time
150
170190
210230
temperature
1.6
1.9
2.2
2.5
2.8
3.1
3.4
catalyst
Desirability0.00.1
0.2
0.30.4
0.50.6
0.70.8
0.91.0
Desirability
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Overlaid contour plots
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Overlay Plot
catalyst=2.34412
conversionthermal activity
8.1 10.1 12.1 14.1 16.1 18.1
time
150
170
190
210
230
temperature
75.0
83.0
91.0
99.0
107.0115.0123.057.0 59.0 61.0 63.0 65.0 67.0 69.0 71.0
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Step 10: Save results
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Step 11: Augment design
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Step 12: Extrapolate
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Step 12: Extrapolate (cont.)
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More (next webinar)
Creating and using RPDs (Robust Parameter Designs)
Analyzing designs with both process and mixturecomponents
Using D-optimal designs to fix a botched experiment
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More Information
Go to www.statgraphics.com
Or send e-mail to [email protected]
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http://www.statgraphics.com/mailto:[email protected]:[email protected]://www.statgraphics.com/