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MANE 6313

Week 11, Module C

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

Appraise minimum aberration designs.

Minimum Aberration Designs

  • Concept introduced by Fries and Hunter in 1980
  • "The purpose of this paper is to provide a method for selecting a best subset of designs from the set of 2^(k-p) fractional factorial designs of highest resolution"
  • Minimum aberration is used as measure for best designs
  • Fries and Hunter define a design to be a minimum aberration design if "...the design which minimizes the number of words in the defining relation that are of minimum length."

Fries and Hunter Example

Minimum Aberration Design Example

FrF2

  • FrF2 provides minimum aberration (ma) designs
  • FrF2 also considers word length pattern (wlp) and clear 2 factor interactions (2fis)

Table of FrF2 Designs

Design Info, part 1

design.info from R

Design Info, part 2

design.info from R

Generators

  • List effects in standard order and match generating columns from catalog entry

Creating Generators from Columns

Generators

Example Problem Generators

Generators from FrF2

Generators from FrF2 Design 9-4.1