OLHD.C2007 {LHD}

Orthogonal Latin Hypercube Design

Description

OLHD.C2007 returns a 2^m+1 by m+{m-1 \choose 2} orthogonal Latin hypercube design generated by the construction method of Cioppa and Lucas (2007)

Usage

OLHD.C2007(m)

Arguments

m

A positive integer, and it must be greater than or equal to 2.

Value

If all inputs are logical, then the output will be an orthogonal LHD with the following run size: n=2^m+1 and the following factor size: k=m+{m-1 \choose 2}.

References

Cioppa, T.M., and Lucas, T.W. (2007) Efficient nearly orthogonal and space-filling Latin hypercubes. Technometrics, 49(1), 45-55.

Examples

#create an orthogonal LHD with m=4. So n=2^m+1=17 and k=4+3=7
OLHD.C2007(m=4)

#create an orthogonal LHD with m=5. So n=2^m+1=33 and k=5+6=11
OLHD.C2007(m=5)