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Title page for ETD etd-04102006-222732


Type of Document Dissertation
Author Guo, Yong
Author's Email Address guo@eng.fsu.edu
URN etd-04102006-222732
Title Efficient Mixed-Level Fractional Factorial Designs: Evaluation, Augmentation and Application
Degree Doctor of Philosophy
Department Industrial and Manufacturing Engineering, Department of
Advisory Committee
Advisor Name Title
James Simpson Committee Chair
Joseph Pignatiello Committee Member
Samuel Awoniyi Committee Member
Xufeng Niu Committee Member
Keywords
  • Mixed-Level Designs
  • Augmentation
  • Qualitative Factor
  • General Balance Metric
  • Design Of Experiments
  • Foldover
  • Minimum Aberration Criterion
Date of Defense 2006-04-07
Availability unrestricted
Abstract
In general, a minimum aberration criterion is used to evaluate fractional factorial designs. This dissertation begins with a comprehensive review and comparison of minimum aberration criteria definitions regarding their applications, relationships, advantages, limitations and drawbacks. A new criterion called the general balance metric, is proposed to evaluate and compare mixed-level fractional factorial designs. The general balance metric measures the degree of balance for both main effects and interaction effects. This criterion is related to, and dominates orthogonality criteria as well as traditional minimum aberration criteria. Besides, the proposed criterion provides immediate feedback and comprehensively assesses designs and has practical interpretations. The metric can also be used for the purpose of design augmentation to improve model fit. Based upon the proposed criterion, a method is proposed to identify the optimal foldover strategies for efficient mixed-level designs. The analysis of mixed-level designs involving qualitative factors can be achieved through indicator variables or contrast coefficients. A regression model is developed to include qualitative factor interactions which have been previously ignored.
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