The Annals of Statistics

A Comparison of Classes of Single Replicate Factorial Designs

D. T. Voss and A. M. Dean

Full-text: Open access

Abstract

The classes of designs produced by well-known confounding methods are compared for single replicate factorial experiments involving a single blocking factor. It is shown that several of these methods produce equivalent classes of designs, whilst others produce a subset of this common class. It is shown that in certain experimental settings the use of pseudofactors does not enlarge the size of the common class of designs.

Article information

Source
Ann. Statist., Volume 15, Number 1 (1987), 376-384.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176350272

Digital Object Identifier
doi:10.1214/aos/1176350272

Mathematical Reviews number (MathSciNet)
MR885743

Zentralblatt MATH identifier
0621.62083

JSTOR
links.jstor.org

Subjects
Primary: 62K15: Factorial designs
Secondary: 62K10: Block designs

Keywords
Confounding DSIGN algorithm factorial experiments generalized cyclic designs pseudofactors single replicate designs

Citation

Voss, D. T.; Dean, A. M. A Comparison of Classes of Single Replicate Factorial Designs. Ann. Statist. 15 (1987), no. 1, 376--384. doi:10.1214/aos/1176350272. https://projecteuclid.org/euclid.aos/1176350272


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