A complementary design theory for doubling

DOI10.1214/009005360700000712zbMath1132.62059arXiv0803.2118OpenAlexW3102804994MaRDI QIDQ2477068

Ching-Shui Cheng, Hongquan Xu

Publication date: 12 March 2008

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2118

zbMATH Keywords

minimum aberrationwordlength patternPless power moment identitymaximal design

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (17)

A new strategy for tripling ⋮ Some new results on triple designs ⋮ A note on supersaturated design ⋮ Lower-order confounding information of inverse Yates-order two-level designs ⋮ Quadrupling: construction of uniform designs with large run sizes ⋮ Characterization of three-order confounding via consulting sets ⋮ Unnamed Item ⋮ Uniformity in double designs ⋮ General minimum lower order confounding designs: an overview and a construction theory ⋮ On construction of general minimum lower order confounding \(2^{n - m}\) designs with \(N/4+1\leq n\leq 9N/32\) ⋮ Recent developments in nonregular fractional factorial designs ⋮ A novel method for constructing mixed two- and three-level uniform factorials with large run sizes ⋮ Multiple doubling: a simple effective construction technique for optimal two-level experimental designs ⋮ Tripling of fractional factorial designs ⋮ Some results on \(2^{n - m}\) designs of resolution IV with (weak) minimum aberration ⋮ Some applications of indicator function in two-level factorial designs ⋮ A systematic construction approach for nonregular fractional factorial four-level designs via quaternary linear codes

Cites Work

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• A catalogue of three-level regular fractional factorial designs
• Blocked regular fractional factorial designs with minimum aberration
• \(2^{n-l}\) designs with weak minimum aberration
• Characterization of minimum aberration \(2^{n-k}\) designs in terms of their complementary designs
• Doubling and projection: A method of constructing two-level designs of resolution IV
• Minimum Aberration 2 k-p Designs
• Some theory for constructing minimum aberration fractional factorial designs
• Power moment identities on weight distributions in error correcting codes

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