A Design and Analysis Process
See Also:
Designed Experiment (definition) .
Points to Consider about a Designed Experiment .
Understand the Problem
Brainstorm Potential Cause and Effect
What are the Factors that influence what Response(s)
Specify the Problem
- Distinguish between factors now being controlled, those that can be controlled and those which are uncontrollable in the current process or environment.
- Select Factors and their Factor Levels
- Decide if Factors are Quantitative or Qualitative
- Classify Factors as Main, Subsidiary or Blocking
- Classify as Linear or Nonlinear response
- Specify Interactions between Main Factors
Choose a Design
- Consider cost of a run, error estimates, precision, interactions required
- Consider deleting runs from a design to make it more affordable
- Consider acceptability of mde and avc
- Consider adding error runs to improve mde or avc
Modify the Design Selection
- Iterate on choices, consider trade-off
- Specify Dispersion Analysis if required: Either use design replicates or a subsidiary design.
- Specify Error runs if desired
Convert from Standardized to Analysis Design
- Transform Factor-Levels to experimental values, if necessary
- Randomize run order
- Generate data file, Analysis data sheet
Do the Experiment
- Record the response(s) and comments concerning any special circumstances or events
- Record recognized casual factors: Date, Time, Environment, People, Equipment, Unplanned factors
Prepare data for Analysis
- Retrieve the Analysis Data
- Calculate any composite responses
- Establish interactions for analysis; Retrieve design interactions; Consider deletions or additions
- Incorporate Casual Factors
Do an Analysis Analysis is an iterative procedure For each recorded or computed response
- For qualitative factors, consider graphical presentation of the data
- For quantitative factors, consider both graphical presentation and regression analysis; Consider a preliminary analysis on normalized data; Consider transforms for the factors and response
Evaluate the results of a regression analysis
- Error, Lack of Fit
- Significance of the fitted parameters
- Plots of the results
- Consider changing the factors and interactions in the model.
- If applicable, do the response surface calculations
- Review principal axis components
- Examine contour and 3-d plots
Validate the Conclusions
- Use Fold-over or repeated design for significant factors to validate interactions and main effects
- Use a small local design to validate an optimal response
Evolutionary Designs
- Move a small design in the direction of increasing performance, with caution.
Reset the Process
- Monitor for expected results.
Learn more about the DOE tools
for designed experiments in Six Sigma
Demystified (2011, McGraw-Hill) by Paul Keller,
in his online Intro. to DOE short course (only $99) or
online Advanced Topics in DOE short course (only $139), or his
online Black Belt certification training course ($875).