ATmet (version 1.2)

LHSdesign: Latin hypercube sampling for metrology applications

Description

Creates latin hypercube sampling designs for metrology applications

Usage

LHSdesign(N,k,distrib,distrib.pars,x)

Arguments

N

The number of design points.

k

The number of the input variables of the numerical code.

distrib

A named list of length k of names of distribution functions associated with the input variables of the code. See Details for defaults.

distrib.pars

A named list of lists of parameters describing the distributions associated with distrib. If distrib is present but distrib.pars is not the function uses the standardized versions of the distributions, see Details.

x

A named list containing the names of the input variables of the numerical code. See Details for defaults.

Value

design.unif A table containing the LHS design in the uniform space.

design.phys A table containing the LHS design with margins in distrib.

Details

This function contains a wrapper for the optimumLHS function in package lhs.

If distrib or members of it are missing, an error message is displayed. Distributions have to be chosen among uniform(unif), triangular(triang), normal(norm), truncated normal(tnorm), student(t), location-scale student(t.scaled).

If distrib.pars is missing or misspecified, the standardized parameters of the associated distributions in distrib are used for all the variables in x:

unif : min=0, max=1

triang : min=0, max=1, mode=0.5

norm : mean=0, sd=1

tnorm : mean=0, sd=1, lower=0, upper=+Inf

t : nu=100

t.scaled : nu=100, mean=0, sd=1

If x or members of it are missing, arbitrary names of the form 'Xn' are applied to the columns of the output table. Names are automatically abbreviated to 15 characters.

Examples

# NOT RUN {
   
  N<- 100
  k<- 4
  x<- list("X1","X2","X3","X4")
  distrib<- list("norm","norm","unif","t.scaled")
  distrib.pars<- list(list(0,2),list(0,1),list(20,150),list(2,0,1))
  LHSdesign(N,k,distrib,distrib.pars,x)
# }