Electronic Journal of Statistics

Quasi-Latin designs

C. J. Brien, R. A. Bailey, T. T. Tran, and J. Boland

Full-text: Open access

Abstract

This paper gives a general method for constructing quasi-Latin square, quasi-Latin rectangle and extended quasi-Latin rectangle designs for symmetric factorial experiments. Two further methods are given for parameter values satisfying certain conditions. The construction of designs for a range of numbers of rows and columns is discussed so that the different construction techniques are covered. For some row and column combinations, different designs are compared. The construction of designs with rows and columns that are nested or contiguous is also discussed.

Article information

Source
Electron. J. Statist. Volume 6 (2012), 1900-1925.

Dates
First available in Project Euclid: 12 October 2012

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1350046857

Digital Object Identifier
doi:10.1214/12-EJS732

Mathematical Reviews number (MathSciNet)
MR2988468

Zentralblatt MATH identifier
1295.62076

Subjects
Primary: 62J10: Analysis of variance and covariance
Secondary: 62K99: None of the above, but in this section

Keywords
Design of experiments factorial designs glasshouse experiments latinized designs quasi-Latin designs row-column designs

Citation

Brien, C. J.; Bailey, R. A.; Tran, T. T.; Boland, J. Quasi-Latin designs. Electron. J. Statist. 6 (2012), 1900--1925. doi:10.1214/12-EJS732. https://projecteuclid.org/euclid.ejs/1350046857


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