Results on Factorial Designs of Resolution IV for the 2 n and 2 n 3 m Series

Abstract

Factorial designs of resolution III are such that all main effects are estimable, ignoring two-factor interactions and all higher order interactions. Designs of resolution IV are such that all main effects are estimable with no two-factor interactions as aliases, ignoring all higher order interactions. The general technique for producing 2 n designs of resolution IV is a specific application of the Box-Wilson “fold-over” theorem. Recent work by Steve Webb on resolution IV designs for two-level factors is discussed and extended. The miniium run requirement for a 2 n resolution IV design is 2 n . It is proved that if a minimal resolution IV 2 n design has each factor occurring equally often at its high and low levels, then the design must be a fold-over design. A proof that the minimum run requirement for a resolution IV 2 n 3 m design, m > 0, is 3(n + 2m − 1) also is included. Minimal 2 n resolution IV designs are presented for various values of n. All these designs can be run in n blocks of size 2 each.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 38 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.