Alternatives to resolution III regular fractional factorial designs for 9 - 14 factors in 16 runs

Bradley Jones, Shilpa Madhavan Shinde, Douglas Montgomery

Research output: Contribution to journalShort surveypeer-review

2 Scopus citations


Resolution III regular fractional factorial designs for 9-14 factors in 16 runs are standard designs for factor screening in industrial experimentation because of their economical run size. However, for all these designs, the main effects are completely confounded with some two-factor interaction(s), so experimenters must frequently either augment the original fractional factorial with new runs or rely on assumptions or external information to resolve ambiguities in interpretation.We propose nonregular orthogonal fractions in 16 runs for these situations that have no complete confounding of two-factor interactions and main effects. These designs allow for the unambiguous estimation of the main effects provided that there are only a few two-factor interactions. We show how these designs can be selected from the nonisomorphic 16-run orthogonal fractions and discuss potential analysis methods.

Original languageEnglish (US)
Pages (from-to)50-58
Number of pages9
JournalApplied Stochastic Models in Business and Industry
Issue number1
StatePublished - Jan 1 2015


  • Aliases
  • Design resolution
  • Nonregular designs
  • Optimal designs
  • Resolution iii designs
  • Screening experiments

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Business, Management and Accounting
  • Management Science and Operations Research


Dive into the research topics of 'Alternatives to resolution III regular fractional factorial designs for 9 - 14 factors in 16 runs'. Together they form a unique fingerprint.

Cite this