Some results on blocked regular 2-level fractional factorial designs with clear effects

Bao Jiang Chen, Peng Fei Li, Min Qian Liu, Run Chu Zhang

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

Blocking is commonly used in design of experiments to reduce systematic variation and increase precision of effect estimation. In this article, the clear effect concept is discussed for the blocked fractional factorial designs. First, some theoretical results on the existence of clear main effects and two-factor interactions (2fi's) in regular 2m - p : 2l designs with resolution III, IV- and IV are obtained, where a 2m - p : 2l design means a 2m - p design in 2l blocks. Then, the blocked designs containing clear 2fi's are mainly considered and the upper and lower bounds on the maximum number of clear 2fi's in 2m - p : 2l designs with resolution III and IV- are derived. The lower bounds are achieved by constructing specific designs. Some tables are also given for comparing the bounds with true values, which show that many designs constructed by our methods have the maximum number of clear 2fi's.

Original languageEnglish (US)
Pages (from-to)4436-4449
Number of pages14
JournalJournal of Statistical Planning and Inference
Volume136
Issue number12
DOIs
StatePublished - Dec 1 2006
Externally publishedYes

Keywords

  • Blocked fractional factorial design
  • Clear
  • Main effect
  • Minimum aberration
  • Resolution
  • Two-factor interaction

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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