Create an orthogonal array using the Addelman-Kempthorne algorithm with 2q^3 rows.

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.

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

Value

an orthogonal array

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 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)