Draw a (random) Latin Hypercube (LH) sample of size `n`

from in
the region outlined by the provided rectangle

1 |

`n` |
Size of the LH sample |

`rect` |
Rectangle describing the domain from which the LH sample
is to be taken. The rectangle should be a |

`shape` |
Optional vector of shape parameters for the Beta distribution.
Vector of length equal to the dimension of the domain, with elements > 1.
If this is specified, the LH sample is proportional to a joint pdf formed by
independent Beta distributions in each dimension of the domain,
scaled and shifted to have support defined by |

`mode` |
Optional vector of mode values for the Beta distribution.
Vector of length equal to the dimension of the domain, with elements within
the support defined by |

The output is a `matrix`

with `n`

rows and
`nrow(rect)`

columns. Each of the `n`

rows represents
a sample point.

The domain bounds specified by the rows of `rect`

can
be specified backwards with no change in effect.

Robert B. Gramacy, rbgramacy@chicagobooth.edu, and Matt Taddy, taddy@chicagobooth.edu

McKay, M. D., W. J. Conover and R. J. Beckman. (1979).
*A Comparison of Three Methods for Selecting Values of Input
Variables in the Analysis of Output from a Computer Code*,
Technometrics 21: (pp. 239–245).

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