Blocking in regular fractional factorials: A projective geometric approach

Authors
Mukerjee, R Wu, CFJ
Citation
R. Mukerjee et Cfj. Wu, Blocking in regular fractional factorials: A projective geometric approach, ANN STATIST, 27(4), 1999, pp. 1256-1271
Citations number
11
Categorie Soggetti
Mathematics
Journal title
ANNALS OF STATISTICS
ISSN journal
00905364 → ACNP
Volume
27
Issue
4
Year of publication
1999
Pages
1256 - 1271
Database
ISI
SICI code
0090-5364(199908)27:4<1256:BIRFFA>2.0.ZU;2-1
Abstract
A projective geometric characterization is given of the existence of any re gular main effect s(n-k) design in s(y) blacks It leads to a constructive m ethod for finding a maximal blocking scheme for any given fractional factor ial design. A useful sufficient condition for admissible block designs is g iven in terms of the minimum aberration property of a certain unblocked des ign.