Create an orthogonal array using the Bose algorithm.
The bose program
produces OA( q^2, k, q, 2 ), k <= q+1 for prime powers q.
createBose(q, ncol, bRandom = TRUE)
q |
the number of symbols in the array |
ncol |
number of parameters or columns |
bRandom |
should the array be randomized |
From Owen: An orthogonal array A is a matrix of n rows, k
columns with every element being one of q symbols
0,...,q-1. The array has strength t if, in every n by t
submatrix, the q^t possible distinct rows, all appear
the same number of times. This number is the index
of the array, commonly denoted lambda. Clearly,
lambda*q^t=n. The notation for such an array is OA( n, k, q, t ).
an orthogonal array
Owen, Art. Orthogonal Arrays for: Computer Experiments, Visualizations, and Integration in high dimenstions. http://lib.stat.cmu.edu/designs/oa.c. 1994 R.C. Bose (1938) Sankhya Vol 3 pp 323-338
Other methods to create orthogonal arrays [createBush()], [createBoseBush()], [createAddelKemp()], [createAddelKemp3()], [createAddelKempN()], [createBusht()], [createBoseBushl()]
A <- createBose(3, 3, FALSE) B <- createBose(5, 4, TRUE)
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