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June 2003 Indicator function and its application in two-level factorial designs
Kenny Q. Ye
Ann. Statist. 31(3): 984-994 (June 2003). DOI: 10.1214/aos/1056562470


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.


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Kenny Q. Ye. "Indicator function and its application in two-level factorial designs." Ann. Statist. 31 (3) 984 - 994, June 2003.


Published: June 2003
First available in Project Euclid: 25 June 2003

zbMATH: 1028.62061
MathSciNet: MR1994738
Digital Object Identifier: 10.1214/aos/1056562470

Primary: 62K15

Keywords: Generalized aberration , orthogonality , projection properties , uniform design

Rights: Copyright © 2003 Institute of Mathematical Statistics


Vol.31 • No. 3 • June 2003
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