MANE 6313
Week 9, Module E
Student Learning Outcome
- Select an appropriate experimental design with one or more factors,
- Select an appropriate model with one or more factors,
- Evaluate statistical analyses of experimental designs,
- Assess the model adequacy of any experimental design, and
- Interpret model results.
Module Learning Outcome
Describe a general 2^(k-p) fractional factorial design.
Resources for the Week 9, Module E micro-lecture are:
The general \(2^{k-p}\) Fractional Factorial Design
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A \(2^k\) fractional factorial design containing \(2^{k-p}\) runs is called a \(1/2^p\) fraction of the \(2^k\) design
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These designs requires \(p\) independent generators (same definition from last week).
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There are \(2^p-p-1\) generalized interactions included
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There is an "art" to selecting the correct generators. Look to table 8.14 (page 353) for suggestions.
Table 8.14
Appendix X
Resolution III Designs
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It is possible to construct resolution III designs for investigating up to \(k=N-1\) factors in \(N\) runs when \(N\) is a multiple of 4
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These experiments are said to be saturated
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Pay particular attention to Sequential assembly of fractions to separate effects.
Minitab
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Example problems demonstrate the use of Minitab for fractional factorials
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Minitab provides excellent support