blocksdesign (version 3.5)

orthogLS: Mutually orthogonal latin square arrays of zize v

Description

Constructs a list of orthogonal Latin square arrays of size v.

Usage

orthogLS(v)

Arguments

v

the dimension of the required MOLS

Value

Treatments

A table showing the replication number of each treatment in the design.

Details

Returns at least 3 orthogonal latin square arrays of dimension v. The first and second arrays are the rows and columns of a v x v square and the third is a Latin square of size v x v. If v is prime or prime power in the set 4, 8, 16, 32, 64, 128, 9, 27, 81, 25, 49 there are v-1 MOLS and orthogLS(v) will return a total of v+1 arrays. If v = 10 there are two MOLS and orthogLS(10) will give a total of 4 arrays ofsize 10 x 10.

NB If S1 and T1 are mutually orthogonal Latin squares of order n1 and S2 and T2 are mutually orthogonal Latin squares of order n2 then the product squares S1xS2 and T1xT2 are orthogonal to each other and have order n1n2 (not yet implemented)

References

Sailer, M. O. (2013). crossdes: Construction of Crossover Designs. R package version 1.1-1. https://CRAN.R-project.org/package=crossdes

Examples

# NOT RUN {
## Set of 5 x 5 MOLS
orthogLS(5)

# }