Mindist measure

Description

Compute the mindist criterion (also called maximin)

Usage

mindist(design)

Arguments

Details

The mindist criterion is defined by

mindist = min (g_1, ... g_n)

where g_i is the minimal distance between the point x_i and the other points x_k of the design.

A higher value corresponds to a more regular scaterring of design points.

Value

A real number equal to the value of the mindist criterion for the design.

Author(s)

J. Franco

References

Gunzburer M., Burkdart J. (2004) Uniformity measures for point samples in hypercubes https://people.sc.fsu.edu/~jburkardt/.

Jonshon M.E., Moore L.M. and Ylvisaker D. (1990) Minmax and maximin distance designs, J. of Statis. Planning and Inference, 26, 131-148.

Chen V.C.P., Tsui K.L., Barton R.R. and Allen J.K. (2003) A review of design and modeling in computer experiments, Handbook of Statistics, 22, 231-261.

See Also

other distance criteria like meshRatio and phiP, discrepancy measures provided by discrepancyCriteria.

Examples

dimension <- 2
n <- 40
X <- matrix(runif(n*dimension),n,dimension)
mindist(X)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(DiceDesign)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/DiceDesign/mindist.Rd_%03d_medium.png", width=480, height=480)
> ### Name: mindist
> ### Title: Mindist measure
> ### Aliases: mindist
> ### Keywords: design
> 
> ### ** Examples
> 
> dimension <- 2
> n <- 40
> X <- matrix(runif(n*dimension),n,dimension)
> mindist(X)
[1] 0.02631939
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>