The Annals of Statistics
- Ann. Statist.
- Volume 31, Number 3 (2003), 984-994.
Indicator function and its application in two-level factorial designs
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.
Ann. Statist., Volume 31, Number 3 (2003), 984-994.
First available in Project Euclid: 25 June 2003
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Primary: 62K15: Factorial designs
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