| createBoseBushl {lhs} | R Documentation |
Create an orthogonal array using the Bose-Bush algorithm with alternate strength >= 3.
Description
The bosebushl program produces OA( lambda*q^2, k, q, 2 ),
k <= lambda*q+1, for prime powers q and lambda > 1. Both q and
lambda must be powers of the same prime.
Usage
createBoseBushl(q, ncol, lambda, bRandom = TRUE)
Arguments
q |
the number of symbols in the array |
ncol |
number of parameters or columns |
lambda |
the lambda of the BoseBush algorithm |
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 ).
Value
an orthogonal array
References
Owen, Art. Orthogonal Arrays for: Computer Experiments, Visualizations, and Integration in high dimensions. https://lib.stat.cmu.edu/designs/oa.c. 1994 R.C. Bose and K.A. Bush (1952) Annals of Mathematical Statistics, Vol 23 pp 508-524.
See Also
Other methods to create orthogonal arrays [createBoseBush()], [createBose()], [createBush()], [createAddelKemp()], [createAddelKemp3()], [createAddelKempN()], [createBusht()]
Examples
A <- createBoseBushl(3, 3, 3, TRUE)
B <- createBoseBushl(4, 4, 16, TRUE)