PDF HOW TO USE MINITAB
HOW TO USE MINITAB: DESIGN OF
EXPERIMENTS
1
Noelle M. Richard 08/27/14
CONTENTS
1. Terminology
2. Factorial Designs
When to Use? (preliminary experiments)
Full Factorial Design
General Full Factorial Design
Fractional Factorial Design
Creating a Factorial Design
Replication
Blocking
Analyzing a Factorial Design
Interaction Plots
3. Split Plot Designs
When to Use? (hard to change factors)
Creating a Split Plot Design
4. Response Surface Designs
When to Use? (optimization)
Central Composite Design
Box Behnken Design
Creating a Response Surface Design
Analyzing a Response Surface Design
Contour/Surface Plots
2
Optimization
TERMINOLOGY
Controlled Experiment: a study where treatments are imposed on experimental units, in order to observe a response
Factor: a variable that potentially affects the response
ex. temperature, time, chemical composition, etc.
Treatment: a combination of one or more factors
Levels: the values a factor can take on
Effect: how much a main factor or interaction between factors influences the mean response
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TERMINOLOGY
Design Space: range of values over which factors are to be varied
Design Points: the values of the factors at which the experiment is conducted
One design point = one treatment Usually, points are coded to more convenient values ex. 1 factor with 2 levels ? levels coded as (-1) for low level and (+1) for high level
Response Surface: unknown; represents the mean response at any given level of the factors in the design space.
Center Point: used to measure process stability/variability, as
well as check for curvature of the response surface.
Not necessary, but highly recommended.
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Level coded as 0 .
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WHEN DO YOU USE A FACTORIAL DESIGN?
Factorial designs are good preliminary experiments
A type of factorial design, known as the fractional factorial design, are often used to find the "vital few" significant factors out of a large group of potential factors. This is also known as a screening experiment
Also used to determine curvature of the response surface
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