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Fractional Factorial Designs

  • Scott A. Pardo
Chapter

Abstract

In the two-level experiment with k input factors, there are 2 k possible runs. For k = 3, there are only eight runs. But even with five factors, 25 = 32 runs may be prohibitively expensive and time consuming. The question is whether it is possible to use some subset of all possible runs and still be able to fit a first order polynomial approximation to the response function. The answer is yes, but you must give up some resolution in your approximation. The amount of resolution lost is generally in terms of which interaction effects which can be included in your model.

Keywords

Apply Scientist Fractional Factorial Lower Order Term Generator Generator Screen Shot 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Cochran, W. G., & Cox, D. R. (1992). Experimental designs (2nd ed.). New York: Wiley.zbMATHGoogle Scholar
  2. Fries, A., & Hunter, W. G. (1980). Minimum aberration 2k-p designs. Technometrics, 22, 601–608.MathSciNetzbMATHGoogle Scholar
  3. Hinkelmann, K., & Kempthorne, O. (2005). Design and analysis of experiments: Vol. 2. Advanced experimental design. Hoboken, NJ: Wiley.CrossRefzbMATHGoogle Scholar
  4. Montgomery, D. C. (2001). Design and analysis of experiments. New York: Wiley.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Scott A. Pardo
    • 1
  1. 1.Ascensia Diabetes CareParsippanyUSA

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