On the maximal number of factors and the enumeration of 3-symbol orthogonal arrays of strength 3 and index 2

A. Hedayat; Esther Seiden; John Stufken

doi:10.1016/s0378-3758(96)00059-6

On the maximal number of factors and the enumeration of 3-symbol orthogonal arrays of strength 3 and index 2

A. Hedayat, Esther Seiden, John Stufken

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We show that an orthogonal array for three symbols, of strength 3 and of index 2 can accommodate no more than five factors. We also show that there are exactly four nonisomorphic arrays with five factors.

Original language	English (US)
Pages (from-to)	43-63
Number of pages	21
Journal	Journal of Statistical Planning and Inference
Volume	58
Issue number	1
DOIs	https://doi.org/10.1016/s0378-3758(96)00059-6
State	Published - Mar 1 1997
Externally published	Yes

Keywords

Difference schemes
Fractional factorials
Nonisomorphic orthogonal arrays
Rao's bounds for orthogonal arrays

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/s0378-3758(96)00059-6

Cite this

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abstract = "We show that an orthogonal array for three symbols, of strength 3 and of index 2 can accommodate no more than five factors. We also show that there are exactly four nonisomorphic arrays with five factors.",

keywords = "Difference schemes, Fractional factorials, Nonisomorphic orthogonal arrays, Rao's bounds for orthogonal arrays",

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AU - Hedayat, A.

AU - Seiden, Esther

AU - Stufken, John

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Y1 - 1997/3/1

N2 - We show that an orthogonal array for three symbols, of strength 3 and of index 2 can accommodate no more than five factors. We also show that there are exactly four nonisomorphic arrays with five factors.

AB - We show that an orthogonal array for three symbols, of strength 3 and of index 2 can accommodate no more than five factors. We also show that there are exactly four nonisomorphic arrays with five factors.

KW - Difference schemes

KW - Fractional factorials

KW - Nonisomorphic orthogonal arrays

KW - Rao's bounds for orthogonal arrays

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On the maximal number of factors and the enumeration of 3-symbol orthogonal arrays of strength 3 and index 2

Abstract

Keywords

ASJC Scopus subject areas

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