## The Annals of Statistics

### Blocking in regular fractional factorials: a projective geometric approach

#### Abstract

A projective geometric characterization is given of the existence of any regular main effect $s^{n-k}$ design in $s^{\gamma}$ blocks. It leads to a constructive method for finding a maximal blocking scheme for any given fractional factorial design. A useful sufficient condition for admissible block designs is given in terms of the minimum aberration property of a certain unblocked design.

#### Article information

Source
Ann. Statist. Volume 27, Number 4 (1999), 1256-1271.

Dates
First available in Project Euclid: 4 April 2002

https://projecteuclid.org/euclid.aos/1017938925

Digital Object Identifier
doi:10.1214/aos/1017938925

Mathematical Reviews number (MathSciNet)
MR1740111

Zentralblatt MATH identifier
0959.62066

Subjects
Primary: 62K15: Factorial designs
Secondary: 62K05: Optimal designs

#### Citation

Mukerjee, Rahul; Wu, C. F. J. Blocking in regular fractional factorials: a projective geometric approach. Ann. Statist. 27 (1999), no. 4, 1256--1271. doi:10.1214/aos/1017938925. https://projecteuclid.org/euclid.aos/1017938925.

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• ALIPORE, CALCUTTA 70027 ANN ARBOR, MICHIGAN 48109 INDIA E-MAIL: jeffwu@umich.edu