Coverage

Description

Compute the coverage measure

Usage

coverage(design)

Arguments

Details

The coverage criterion is defined by

coverage) =1/gMean *[ 1/n * [( g_1 - gMean )^2 + ... + (g_n - gMean)^2] ]^(1/2)

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

Note that for a regular mesh, cov=0. Then, a small value of cov means that the design is close to a regular grid.

Value

A real number equal to the value of the coverage 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/.

See Also

other distance criteria like meshRatio, phiP and mindist.

discrepancy measures provided by discrepancyCriteria.

Examples

dimension <- 2
n <- 40
X <- matrix(runif(n*dimension),n,dimension)
coverage(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/coverage.Rd_%03d_medium.png", width=480, height=480)
> ### Name: coverage
> ### Title: Coverage
> ### Aliases: coverage
> ### Keywords: design
> 
> ### ** Examples
> 
> dimension <- 2
> n <- 40
> X <- matrix(runif(n*dimension),n,dimension)
> coverage(X)
[1] 0.6447666
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>