Construction of some families of nested orthogonal arrays
نویسنده
چکیده
A (symmetric) nested orthogonal array is a symmetric orthogonal array OA(N, k, s, g) which contains an OA(M,k, r, g) as a subarray, where M < N and r < s. In this communication, some methods of construction of nested symmetric orthogonal arrays are given. Asymmetric nested orthogonal arrays are defined and a few methods of their construction are described.
منابع مشابه
On the construction of nested orthogonal arrays
Nested orthogonal arrays are useful in obtaining space-filling designs for an experimental set up consisting of two experiments, the expensive one of higher accuracy to be nested in a larger inexpensive one of lower accuracy. Systematic construction methods of some families of symmetric and asymmetric nested orthogonal arrays were provided recently by Dey [Discrete Math. 310 (2010), 2831–2834]....
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