Bounds on the maximum number of clear two-factor interactions for 2m-pdesigns of resolution III and IV

Autor:	Debra Ingram, Fengshi Ma, Hong Wang, Boxin Tang
Rok vydání:	2002
Předmět:	Statistics and Probability Combinatorics Minimum aberration Fractional factorial design Main effect Statistics Probability and Uncertainty Robust parameter design Upper and lower bounds Mathematics Resolution (algebra)
Zdroj:	Canadian Journal of Statistics. 30:127-136
ISSN:	1708-945X 0319-5724
DOI:	10.2307/3315869
Popis:	The authors derive upper and lower bounds on the maximum number of clear two-factor inter- actions in 2m-p fractional factorial designs of resolution I1 and IV. A two-factor interaction is said to be clear if it is not aliased with any main effect or with any other two-factor interaction. The lower bounds are obtained by exhibiting specific designs. By comparing the bounds with the values of the maximum number of clear two-factor interactions in cases where it is known, one concludes that the construction methods perform quite well.
Databáze:	OpenAIRE
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