Optimal weighing designs and some new weighing matrices

Christos Koukouvinos

Statistics & Probability Letters, 1995, vol. 25, issue 1, 37-42

Abstract: In experimental situations where n three-level factors are involved and n observations are taken, we obtain orthogonal designs from weighing matrices. In factorial experiments the use of orthogonal designs contributes decisively to the reduction of variance which is considered to be a significant factor in the improvement of industrial products. Sequences with elements 0, 1, -1 and zero autocorrelation function can be used to construct weighing matrices. In this paper we discuss some constructions of weighing designs. We give some new {0,1, -1} sequences with zero autocorrelation function from which we construct some new weighing matrices.

Keywords: Autocorrelation; Construction; Sequence; Optimal; designs; Associated; polynomial (search for similar items in EconPapers)
Date: 1995
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0167-7152(94)00203-K
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:25:y:1995:i:1:p:37-42

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().