olhDesign {DiceDesign} | R Documentation |

## 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 |

### 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)
```

*DiceDesign*version 1.10 Index]