The Annals of Statistics

Indicator function and its application in two-level factorial designs

Kenny Q. Ye

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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

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

First available in Project Euclid: 25 June 2003

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62K15: Factorial designs

Generalized aberration uniform design orthogonality projection properties


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.

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