On orthogonal arrays

E Seiden, R Zemach - The Annals of Mathematical Statistics, 1966 - JSTOR
… the analogy between the problems of design of experiments and information theory. Farrell,
Kiefer and Walbran used orthogonal arrays in their work on optimum multivariate designs [5]. …

Some projection properties of orthogonal arrays

CS Cheng - The Annals of Statistics, 1995 - projecteuclid.org
… For example, an orthogonal array with strength two defines a design in which all the main
effects … Important examples of such arrays are the Plackett-Burman designs (1946), which are …

Orthogonal designs

R Craigen, H Kharaghani - Handbook of combinatorial designs, 2006 - taylorfrancis.com
designs and siamese twin symmetric designs. §III.6 Hadamard matrices are equivalent to
certain orthogonal arraysOrthogonal designs provide some of the most important construc…

Projective properties of certain orthogonal arrays

G Box, J Tyssedal - Biometrika, 1996 - academic.oup.com
design obtained by 'doubling' an nx n orthogonal array is always of projectivity P = 2; a twolevel
cyclic design is either a factorial array… = 3; a two-level orthogonal design with 4m runs, m …

Orthogonal arrays for computer experiments, integration and visualization

AB Owen - Statistica Sinica, 1992 - JSTOR
… In all of these problems there is a design issue in choosing X\,..., Xn. This article presents
a class of designs based on randomized orthogonal arrays that are suitable as designs for …

On the problem of construction of orthogonal arrays

E Seiden - The Annals of Mathematical Statistics, 1954 - projecteuclid.org
orthogonal arrays of strength two and two levels from the point of application of factorial designs
… [2] studied orthogonal arrays, in their terminology multifactorial designs, from the point of …

An approach to the construction of asymmetrical orthogonal arrays

JC Wang, CFJ Wu - Journal of the American Statistical Association, 1991 - Taylor & Francis
… We use this array in the first step of the proposed construction method (see Section 3). Then
… constructed array columns that are based on another orthogonal array. Since the latter array

Orthogonal arrays with variable numbers of symbols

CS Cheng - The Annals of Statistics, 1980 - projecteuclid.org
… Generalization to the asymmetrical case, ie, an orthogonal array with variable numbers of …
of an orthogonal array with variable numbers of symbols as a fractional factorial design. Such …

Some combinatorial problems of arrays and applications to design of experiments

CR Rao - A Survey of Combinatorial Theory, 1973 - Elsevier
orthogonal arrays and indicate their use in the design of experiments. The use of orthogonal
arrays … We define a rectangular array, denoted by (N9 r, sx x · · · x sr) as an rx N matrix with …

[引用][C] Arrays for orthogonal designs

H Kharaghani - Journal of Combinatorial Designs, 2000 - Wiley Online Library
… in the Goethals±Seidel array. With a new approach we will construct an infinite number of
arrays, each abling to generate many new orthogonal designs. Throughout the paper À1 is …