The Annals of Statistics

Indicator function and its application in two-level factorial designs

Kenny Q. Ye

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Abstract

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 information

Source
Ann. Statist., Volume 31, Number 3 (2003), 984-994.

Dates
First available in Project Euclid: 25 June 2003

Permanent link to this document
https://projecteuclid.org/euclid.aos/1056562470

Digital Object Identifier
doi:10.1214/aos/1056562470

Mathematical Reviews number (MathSciNet)
MR1994738

Zentralblatt MATH identifier
1028.62061

Subjects
Primary: 62K15: Factorial designs

Keywords
Generalized aberration uniform design orthogonality projection properties

Citation

Ye, Kenny Q. Indicator function and its application in two-level factorial designs. Ann. Statist. 31 (2003), no. 3, 984--994. doi:10.1214/aos/1056562470. https://projecteuclid.org/euclid.aos/1056562470


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