createBusht: Create an orthogonal array using the Bush algorithm with alternate strength.
Description
The busht program produces OA( q^t, k, q, t ), k <= q+1, t>=3,
for prime powers q.
Usage
createBusht(q, ncol, strength, bRandom = TRUE)
Value
an orthogonal array
Arguments
q
the number of symbols in the array
ncol
number of parameters or columns
strength
the strength of the array to be created
bRandom
should the array be randomized
Details
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 ).
References
Owen, Art. Orthogonal Arrays for: Computer Experiments, Visualizations, and
Integration in high dimensions. https://lib.stat.cmu.edu/designs/oa.c. 1994
K.A. Bush (1952) Annals of Mathematical Statistics, Vol 23 pp 426-434
See Also
Other methods to create orthogonal arrays [createBoseBush()],
[createBose()], [createAddelKemp()], [createAddelKemp3()],
[createAddelKempN()], [createBoseBushl()]