Construction of 2-level designs with large run sizes

Algorithmic Construction of Efficient Fractional Factorial Designs With Large Run Sizes

Author: Hongquan Xu

The final manuscript in PDF accepted for publication in Technometrics.

Table 9: Number of Nonisomorphic Designs
Table 10: Number of Nonisomorphic Even and Odd Designs

Complete lists of 16-run designs of resolution 3
Complete lists of 32-run designs of resolution 3
Complete lists of 64-run designs of resolution 4
Complete lists of 128-run designs of resolution 4 and 8-24 columns (zipped 6.9M), 25 columns (zipped 3.4M)
Complete lists of 256-run designs of resolution 5
Complete lists of 256-run designs of resolution 4 and 9-16 columns (zipped 2.6M)
Complete lists of 512-run designs of resolution 5 (zipped)
Complete lists of 1024-run designs of resolution 6 (zipped)
Complete lists of 2048-run designs of resolution 7
Complete lists of 4096-run designs of resolution 8

Note 1: All designs are sorted according to the minimum aberration criterion. If two designs have the same wordlength pattern, their orderings are arbitrary.

Note 2: Weak MA 128-run designs in Table 11 are isomorphic to these designs given by Block and Mee (2005, Table 2; see their Corrigenda).

Of interest: A catalogue of three-level regular fractional factorial designs.

The research was supported by the National Science Foundation grants DMS-0505728 and DMS-0806137.

History of updates:

May 14, 2009: Initial update.
July 24, 2021: Add 64-run resolution 3 designs and 128-run designs of resolution 4. The 128-run designs are not sorted.

Complete lists of 64-run designs of resolution 3 (7-15 columns), 16 columns, 17 columns (zipped)
Complete lists of 128-run odd designs of resolution 4 and up to 40 columns (zipped 2.8M),
Complete lists of 128-run even designs of resolution 4 and 22-31 columns (zipped 57.3M), 32 columns (zipped 12.9M) and 33 columns (zipped 12.6M)

Hongquan Xu