Fractional factorial (FF) designs are commonly used in industrial
ex-periments to identify factors affecting a process. When it is expensive or
difficult to change the levels of some of the factors, fractional factorial
split-plot (FFSP) designs represent a practical design option. Though FFSP
de-sign matrices correspond to FF design matrices, the randomization struc-ture
of the FFSP design is different. In this paper, we discuss the impact of
randomization restrictions on the choice of FFSP designs and develop
theoretical results. Some of these results are very closely related to those
available for FF designs while others are more specific to FFSP designs and are
more useful in practice. We pay particular attention to the min-imum aberration
criterion (MA) and emphasize the differences between FFSP and FF designs.
Publié le : 1999-08-14
Classification:
Defining contrast subgroup,
Hadamard matrix,
maximum resolution,
minimum aberration,
randomization restriction,
62K15,
05B20
@article{1017938924,
author = {Bingham, D. R. and Sitter, R. R.},
title = {Some theoretical results for fractional factorial split-plot
designs},
journal = {Ann. Statist.},
volume = {27},
number = {4},
year = {1999},
pages = { 1240-1255},
language = {en},
url = {http://dml.mathdoc.fr/item/1017938924}
}
Bingham, D. R.; Sitter, R. R. Some theoretical results for fractional factorial split-plot
designs. Ann. Statist., Tome 27 (1999) no. 4, pp. 1240-1255. http://gdmltest.u-ga.fr/item/1017938924/