A projective geometric characterization is given of the existence
of any regular main effect $s^{n-k}$ design in $s^{\gamma}$ blocks. It leads to
a constructive method for finding a maximal blocking scheme for any given
fractional factorial design. A useful sufficient condition for admissible block
designs is given in terms of the minimum aberration property of a certain
unblocked design.
Publié le : 1999-08-14
Classification:
Admissible block designs,
main effect pencil,
minimum aberration criterion,
order of estimability,
resolution,
62K15,
62K05
@article{1017938925,
author = {Mukerjee, Rahul and Wu, C. F. J.},
title = {Blocking in regular fractional factorials: a projective
geometric approach},
journal = {Ann. Statist.},
volume = {27},
number = {4},
year = {1999},
pages = { 1256-1271},
language = {en},
url = {http://dml.mathdoc.fr/item/1017938925}
}
Mukerjee, Rahul; Wu, C. F. J. Blocking in regular fractional factorials: a projective
geometric approach. Ann. Statist., Tome 27 (1999) no. 4, pp. 1256-1271. http://gdmltest.u-ga.fr/item/1017938925/