DOE: Screening Using Fractional Factorials

  • Theodore T. AllenEmail author


The methods presented in this chapter are primarily relevant when it is desired to determine simultaneously which of many possible changes in system inputs cause average outputs to change. “Factor screening ” is the process of starting with a long list of possibly influential factors and ending with a usually smaller list of factors believed to affect the average response. More specifically, the methods described in this section permit the simultaneous screening of several (m) factors using a number of runs, n, comparable to but greater than the number of factors (n ~ m and n > m).


  1. Allen TT, Bernshteyn M (2003) Supersaturated designs that maximize the probability of finding the active factors. Technometrics 45:1–8MathSciNetCrossRefGoogle Scholar
  2. Box GEP, Hunter JS (1961a) The 2k-p fractional factorial designs, part I. Technometrics 3:311–351MathSciNetGoogle Scholar
  3. Box GEP, Hunter JS (1961b) The 2k-p fractional factorial designs, part II. Technometrics 3:449–458MathSciNetGoogle Scholar
  4. Brady J, Allen T (2002) Case study based instruction of SPC and DOE. Am Stat 56(4):1–4CrossRefGoogle Scholar
  5. Daniel C (1959) Use of half-normal plots in interpreting factorial two-level experiments. Technometrics 1:311–341MathSciNetCrossRefGoogle Scholar
  6. Fisher RA (1925) Statistical methods for research workers. Oliver and Boyd, LondonzbMATHGoogle Scholar
  7. Lenth RV (1989) Quick and easy analysis of unreplicated factorials. Technometrics 31:469–473MathSciNetCrossRefGoogle Scholar
  8. Plackett RL, Burman JP (1946) The design of optimum multifactorial experiments. Biometrika 33:303–325MathSciNetzbMATHGoogle Scholar
  9. Ye K, Hamada M, Wu CFJ (2001) A step-down lenth method for analyzing unreplicated factorial designs. J Qual Technol 33:140–152CrossRefGoogle Scholar

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© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.Industrial and Systems EngineeringThe Ohio State UniversityColumbusUSA

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