| createAddelKemp3 {lhs} | R Documentation |
Create an orthogonal array using the Addelman-Kempthorne algorithm
with 2q^3 rows.
Description
The addelkemp3 program produces
OA( 2*q^3, k, q, 2 ), k <= 2q^2+2q+1, for prime powers q.
q may be an odd prime power, or q may be 2 or 4.
Usage
createAddelKemp3(q, ncol, bRandom = TRUE)
Arguments
q |
the number of symbols in the array |
ncol |
number of parameters or columns |
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 S. Addelman and O. Kempthorne (1961) Annals of Mathematical Statistics, Vol 32 pp 1167-1176.
See Also
Other methods to create orthogonal arrays [createBushBush()], [createBose()], [createAddelKemp()], [createAddelKempN()], [createBusht()], [createBoseBushl()]
Examples
A <- createAddelKemp3(3, 3, TRUE)
B <- createAddelKemp3(3, 5, FALSE)