olhDesign {DiceDesign}

Nguyen's Orthogonal Latin Hypercube Designs

Description

Generate the Orthogonal Latin Hypercube (OLH) designs proposed by Nguyen in 2008. These OLHs have a latin structure, an orthogonality between the main terms and the interactions (+ squares) and low correlations between the interactions (+ squares). Very larges matrices can be obtained as the number of input variables and hence the number of lines is unconstrained. When the number of input variables is a power of 2, OLHs have d columns and n = 2d + 1 lines (experiments). A vertical truncature is applied when the number of input variables is not a power of 2. Various normalizations can be applied.

Usage

olhDesign(dimension, range = c(0, 1))

Arguments

dimension

number of input variables

range

the scale (min and max) of the inputs. Ranges (0, 0) and (1, 1) are special cases and call integer ranges (-d, d) and (0, 2d). See the examples

Value

A list with components:

n

the number of lines/experiments

dimension

the number of columns/input variables

design

the design of experiments

Author(s)

N.K. Nguyen for the algorithm. P. Kiener for the recursive R code.

References

Nguyen N.K. (2008) A new class of orthogonal Latinhypercubes, Statistics and Applications, Volume 6, issues 1 and 2, pp.119-123.

See Also

Cioppa's and De Rainville's NOLH designs: nolhDesign, nolhdrDesign.

Examples

## Classical normalizations
olhDesign(4, range = c(0, 0))
olhDesign(4, range = c(1, 1))
olhDesign(4, range = c(0, 1))
olhDesign(4, range = c(-1, 1))

## Change the dimnames, adjust to range (-10, 10) and round to 2 digits
xDRDN(olhDesign(4), letter = "T", dgts = 2, range = c(-10, 10))

## A list of designs
lapply(1:5, function(n) olhDesign(n, range = c(-1, 1))$design)