R/createOA.R
createBusht.Rd
The busht
program produces OA( q^t, k, q, t )
, k <= q+1
, t>=3
,
for prime powers q
.
createBusht(q, ncol, strength, bRandom = TRUE)
the number of symbols in the array
number of parameters or columns
the strength of the array to be created
should the array be randomized
an orthogonal array
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 )
.
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
Other methods to create orthogonal arrays [createBoseBush()], [createBose()], [createAddelKemp()], [createAddelKemp3()], [createAddelKempN()], [createBoseBushl()]
set.seed(1234)
A <- createBusht(3, 4, 2, TRUE)
B <- createBusht(3, 4, 3, FALSE)
G <- createBusht(3, 4, 3, TRUE)