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Column-orthogonal strong orthogonal arrays and sliced strong orthogonal arrays

Statistica Sinica, 2015
A strong orthogonal array of strength t can achieve uniformity on finer grids when projected onto any g dimensions for any g less than t. It can be regarded as a kind of uniform space-filling design. Meanwhile, orthogonality is also desir- able for space-filling designs.
Haiyan Liu, Min-Qian Liu
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Nearly orthogonal arrays mappable into fully orthogonal arrays

Biometrika, 2014
We develop a method for construction of arrays which are nearly orthogonal, in the sense that each column is orthogonal to a large proportion of the other columns, and which are convertible to fully orthogonal arrays via a mapping of the symbols in each column to a possibly smaller set of symbols.
Rahul Mukerjee, Fasheng Sun, Boxin Tang
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Construction of column-orthogonal strong orthogonal arrays

Statistical Papers, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenlong Li, Min-Qian Liu, Jian-Feng Yang
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Compound Orthogonal Arrays

Technometrics, 1999
Compound orthogonal arrays have recently been introduced as an alternative to Taguchi's direct product arrays for studying location and dispersion effects simultaneously. In this article, we provide a catalog of two-level compound orthogonal arrays for parameters of most practical interest. The arrays presented possess the maximum possible strength for
A. S. Hedayat, John Stufken
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Incomplete orthogonal arrays and idempotent orthogonal arrays

Graphs and Combinatorics, 1996
The author introduces a notion of idempotency of orthogonal arrays (OA) of index unity, and the notion of incomplete OA. Denote by \(\text{OA}_\lambda(t,r,s)\) an array with \(r\) rows and \(\lambda s^t\) columns, with entries taken from an \(s\)-set \(E\), such that in each set of \(t\) rows every \(t\)-tuple of entries occurs precisely \(\lambda ...
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Optimal split‐plot orthogonal arrays

Australian & New Zealand Journal of Statistics, 2017
SummaryIt is well known that many industrial experiments have split‐plot structures. Compared to completely randomised experiments, split‐plot designs are more economical and thus have received much attention among researchers. Much work has been done for two‐level split‐plot designs.
Yang, Po, Lin, Chang-Yun
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Constructions of Nested Orthogonal Arrays

Journal of Combinatorial Designs, 2013
AbstractA symmetric nested orthogonal array, denoted by NOA, is an OA which contains an OA as a subarray, where . Nested orthogonal arrays are useful in designing an experimental setup consisting of two experiments, the expensive one of higher accuracy being nested in a relatively less expensive one of lower accuracy.
Wang, Kun, Li, Yang
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Mixed Orthogonal Arrays

1999
In this chapter we investigate orthogonal arrays in which the various factors may have different numbers of levels — these are called mixed or asymmetrical orthogonal arrays.
A. S. Hedayat   +2 more
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Orthogonal Transfer Array

2006
The Orthogonal Transfer Array (OTA) is a monolithic array of small CCDs that are 4-side buttable and can be mosaicked to make the 40K×40K focal plane required by Pan-STARRS. These devices have other interesting properties such as a 'Deep Depletion' structure which enables 75 µm thick devices to be fully depleted with modest charge diffusion, while ...
John L. Tonry   +3 more
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Orthogonally-Oriented Nanotube Arrays: Theory

Journal of Nanoscience and Nanotechnology, 2006
A novel surface involving ordered arrays of partially-embedded carbon nanotubes is developed theoretically. Analysis indicates it should exhibit ultra-low values for friction, adhesion and wear, and also possess superior thermal and electrical properties.
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