, Volume 62, Issue 2–3, pp 259–281

A catalogue of three-level regular fractional factorial designs


DOI: 10.1007/s00184-005-0408-x

Cite this article as:
Xu, H. Metrika (2005) 62: 259. doi:10.1007/s00184-005-0408-x


A common problem that experimenters face is the choice of fractional factorial designs. Minimum aberration designs are commonly used in practice. There are situations in which other designs meet practical needs better. A catalogue of designs would help experimenters choose the best design. Based on coding theory, new methods are proposed to classify and rank fractional factorial designs efficiently. We have completely enumerated all 27 and 81-run designs, 243-run designs of resolution IV or higher, and 729-run designs of resolution V or higher. A collection of useful fractional factorial designs with 27, 81, 243 and 729 runs is given. This extends the work of Ch93, who gave a collection of fractional factorial designs with 16, 27, 32 and 64 runs.


Clear effect Linear code Minimum aberration Moment aberration Resolution 

Mathematics Subject Classification (2000)

62K15 94B05 

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Department of StatisticsUniversity of CaliforniaCaliforniaU.S.A

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