Bounds on the Maximum Number of Factors in Designs with Two Distinct Groups of Factors

Abstract

This article focuses on designs involving two distinct groups of factors. In particular, we assume that between-group interactions are more important than within-group interactions. Under this assumption, a new word-length pattern is proposed to characterize the aliasing severity of a design, and the concepts of resolution and aberration are defined accordingly. Furthermore, we have obtained various bounds on the maximum number of factors that a design with given resolution can accommodate.

Keywords:

• Compromise plan
• Fractional factorial design
• Minimum aberration
• Resolution
• Word-length pattern
• Word-type pattern

Mathematics Subject Classification:

• 62K15
• 62K05