Design of Experiments Webinar

8/13/2019 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 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



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Step 8: Analyze data

Step 9: Optimize responses

Step 10: Save results


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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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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 +

-

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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Design of Experiments Webinar