The Annals of Statistics

Minimum Cost Trend-Free Run Orders of Fractional Factorial Designs

Daniel C. Coster and Ching-Shui Cheng

Full-text: Open access

Abstract

Run orders of fractional factorial designs which minimize a cost function based on the number of times the factors change levels during the time sequence in which the runs are performed and which simultaneously have all factor main effects components orthogonal to a polynomial time trend are found for a wide variety of factorial plans. A construction technique based on a generalized foldover scheme is presented.

Article information

Source
Ann. Statist., Volume 16, Number 3 (1988), 1188-1205.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176350955

Digital Object Identifier
doi:10.1214/aos/1176350955

Mathematical Reviews number (MathSciNet)
MR959196

Zentralblatt MATH identifier
0667.62058

JSTOR
links.jstor.org

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

Keywords
Fractional factorial designs Galois field generalized foldover scheme orthogonal polynomials trend-free run orders

Citation

Coster, Daniel C.; Cheng, Ching-Shui. Minimum Cost Trend-Free Run Orders of Fractional Factorial Designs. Ann. Statist. 16 (1988), no. 3, 1188--1205. doi:10.1214/aos/1176350955. https://projecteuclid.org/euclid.aos/1176350955


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