MANE 6313
Week 10, 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
Analyze a one-quarter fraction manually.
The quarter-fraction of the \(2^k\) Design
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You must select two generators, \(I=P\) and \(I=Q\)
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Don't forget the generalized interaction. The complete defining relation is \(I=P=Q=PQ\)
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There are four possible fractions formed by the combinations of \((\pm P,\pm Q)\)
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The principal fraction is defined by \(I=P=Q\)
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The complementary fractions are \(I=-P=Q\), \(I=P=-Q\), \(I=-P=-Q\)
Quarter Fraction Example -- Problem 8.11 (Textbook 9th edition)
Design Verification
Defining Relation
Aliasing for Interaction Effects
