A two-level factorial design can be uniquely represented by a polynomial indicator function. Therefore, properties of factorial designs can be studied through their indicator functions. This paper shows that the indicator function is an effective tool in studying two-level factorial designs. The indicator function is used to generalize the aberration criterion of a regular two-level fractional factorial design to all two-level factorial designs. An important identity of generalized aberration is proved. The connection between a uniformity measure and aberration is also extended to all two-level factorial designs.
@article{1056562470,
author = {Ye, Kenny Q.},
title = {Indicator function and its application in two-level factorial designs},
journal = {Ann. Statist.},
volume = {31},
number = {1},
year = {2003},
pages = { 984-994},
language = {en},
url = {http://dml.mathdoc.fr/item/1056562470}
}
Ye, Kenny Q. Indicator function and its application in two-level factorial designs. Ann. Statist., Tome 31 (2003) no. 1, pp. 984-994. http://gdmltest.u-ga.fr/item/1056562470/