Business Process improvement - Engineering Statistics Handbook.pdf
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5. Process Improvement
5. Process Improvement
5.
Process Improvement
1.
Introduction
Definition of experimental design
2.
Assumptions
Measurement system capable
1.
2.
Uses
2.
Process stable
3.
Steps
3.
Simple model
4.
Residuals well-behaved
3.
Choosing an Experimental Design
Set objectives
4.
Analysis of DOE Data
DOE analysis steps
1.
2.
Select process variables and levels
2.
Plotting DOE data
3.
Select experimental design
Completely randomized
designs
3.
Modeling DOE data
1.
4.
Testing and revising DOE models
5.
Interpreting DOE results
2.
Randomized block designs
6.
Confirming DOE results
3.
Full factorial designs
7.
DOE examples
Full factorial example
4.
Fractional factorial designs
1.
5.
Plackett-Burman designs
2.
Fractional factorial example
6.
Response surface designs
3.
Response surface example
7.
Adding center point runs
8.
Improving fractional design
resolution
9.
Three-level full factorial
designs
10.
Three-level, mixed-level and
fractional factorial designs
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1.
1.
5. Process Improvement
5.
Advanced Topics
When classical designs don't work
6.
Case Studies
Eddy current probe sensitivity study
2.
Computer-aided designs
D-Optimal designs
2.
Sonoluminescent light intensity
study
1.
2.
Repairing a design
3.
Optimizing a process
Single response case
1.
2.
Multiple response case
4.
Mixture designs
Mixture screening designs
1.
2.
Simplex-lattice designs
3.
Simplex-centroid designs
4.
Constrained mixture designs
5.
Treating mixture and process
variables
together
5.
Nested variation
6.
Taguchi designs
7.
John's 3/4 fractional factorial
designs
8.
Small composite designs
9.
An EDA approach to experiment
design
7.
A Glossary of DOE Terminology
8.
References
Click here for a detailed table of contents
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1.
1.
5. Process Improvement
5.
Process Improvement - Detailed Table of
Contents [5.]
1.
Introduction
[5.1.]
What is experimental design?
[5.1.1.]
1.
2.
What are the uses of DOE?
[5.1.2.]
3.
What are the steps of DOE?
[5.1.3.]
2.
Assumptions
[5.2.]
Is the measurement system capable?
[5.2.1.]
1.
2.
Is the process stable?
[5.2.2.]
3.
Is there a simple model?
[5.2.3.]
4.
Are the model residuals well-behaved?
[5.2.4.]
3.
Choosing an experimental design
[5.3.]
What are the objectives?
[5.3.1.]
1.
2.
How do you select and scale the process variables?
[5.3.2.]
3.
How do you select an experimental design?
[5.3.3.]
Completely randomized designs
[5.3.3.1.]
1.
2.
Randomized block designs
[5.3.3.2.]
Latin square and related designs
[5.3.3.2.1.]
1.
2.
Graeco-Latin square designs
[5.3.3.2.2.]
3.
Hyper-Graeco-Latin square designs
[5.3.3.2.3.]
3.
Full factorial designs
[5.3.3.3.]
Two-level full factorial designs
[5.3.3.3.1.]
1.
2.
Full factorial example
[5.3.3.3.2.]
3.
Blocking of full factorial designs
[5.3.3.3.3.]
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5. Process Improvement
4.
Fractional factorial designs
[5.3.3.4.]
A 2
3-1
design (half of a 2
3
)
[5.3.3.4.1.]
1.
2.
Constructing the 2
3-1
half-fraction design
[5.3.3.4.2.]
3.
Confounding (also called aliasing)
[5.3.3.4.3.]
4.
Fractional factorial design specifications and design
resolution
[5.3.3.4.4.]
5.
Use of fractional factorial designs
[5.3.3.4.5.]
6.
Screening designs
[5.3.3.4.6.]
7.
Summary tables of useful fractional factorial designs
[5.3.3.4.7.]
5.
Plackett-Burman designs
[5.3.3.5.]
6.
Response surface designs
[5.3.3.6.]
Central Composite Designs (CCD)
[5.3.3.6.1.]
1.
2.
Box-Behnken designs
[5.3.3.6.2.]
3.
Comparisons of response surface designs
[5.3.3.6.3.]
4.
Blocking a response surface design
[5.3.3.6.4.]
7.
Adding centerpoints
[5.3.3.7.]
8.
Improving fractional factorial design resolution
[5.3.3.8.]
Mirror-Image foldover designs
[5.3.3.8.1.]
1.
2.
Alternative foldover designs
[5.3.3.8.2.]
9.
Three-level full factorial designs
[5.3.3.9.]
10.
Three-level, mixed-level and fractional factorial designs
[5.3.3.10.]
4.
Analysis of DOE data
[5.4.]
What are the steps in a DOE analysis?
[5.4.1.]
1.
2.
How to "look" at DOE data
[5.4.2.]
3.
How to model DOE data
[5.4.3.]
4.
How to test and revise DOE models
[5.4.4.]
5.
How to interpret DOE results
[5.4.5.]
6.
How to confirm DOE results (confirmatory runs)
[5.4.6.]
7.
Examples of DOE's
[5.4.7.]
Full factorial example
[5.4.7.1.]
1.
2.
Fractional factorial example
[5.4.7.2.]
3.
Response surface model example
[5.4.7.3.]
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5. Process Improvement
5.
Advanced topics
[5.5.]
What if classical designs don't work?
[5.5.1.]
1.
2.
What is a computer-aided design?
[5.5.2.]
D-Optimal designs
[5.5.2.1.]
1.
2.
Repairing a design
[5.5.2.2.]
3.
How do you optimize a process?
[5.5.3.]
Single response case
[5.5.3.1.]
Single response: Path of steepest ascent
[5.5.3.1.1.]
1.
1.
2.
Single response: Confidence region for search path
[5.5.3.1.2.]
3.
Single response: Choosing the step length
[5.5.3.1.3.]
4.
Single response: Optimization when there is adequate quadratic
fit
[5.5.3.1.4.]
5.
Single response: Effect of sampling error on optimal
solution
[5.5.3.1.5.]
6.
Single response: Optimization subject to experimental region
constraints
[5.5.3.1.6.]
2.
Multiple response case
[5.5.3.2.]
Multiple response: Path of steepest ascent
[5.5.3.2.1.]
1.
2.
Multiple response: The desirability approach
[5.5.3.2.2.]
3.
Multiple response: The mathematical programming
approach
[5.5.3.2.3.]
4.
What is a mixture design?
[5.5.4.]
Mixture screening designs
[5.5.4.1.]
1.
2.
Simplex-lattice designs
[5.5.4.2.]
3.
Simplex-centroid designs
[5.5.4.3.]
4.
Constrained mixture designs
[5.5.4.4.]
5.
Treating mixture and process variables together
[5.5.4.5.]
5.
How can I account for nested variation (restricted randomization)?
[5.5.5.]
6.
What are Taguchi designs?
[5.5.6.]
7.
What are John's 3/4 fractional factorial designs?
[5.5.7.]
8.
What are small composite designs?
[5.5.8.]
9.
An EDA approach to experimental design
[5.5.9.]
Ordered data plot
[5.5.9.1.]
1.
2.
Dex scatter plot
[5.5.9.2.]
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