meshRatio {DiceDesign} | R Documentation |
The meshRatio
criterion is the ratio between the
maximimum and the minimum distance between two points of the experimental design.
meshRatio(design)
design |
a matrix (or a data.frame) representing the design of experiments in the unit cube [0,1] |
The meshRatio
criterion is defined by
meshRatio=\frac{\max_{1\leq i \leq n} \gamma_{i}}{\min_{1\leq i \leq n}
\gamma_{i}}
where \gamma_{i}
denotes the minimal distance between the point
x_{i}
and the other points of the design
.
Note that for a regular mesh, meshRatio
=1.
A real number equal to the value of the meshRatio criterion for the design
.
J. Franco
Gunzburer M. and Burkdart J. (2004), Uniformity measures for point samples in hypercubes, https://people.sc.fsu.edu/~jburkardt/.
Other distance criteria like meshRatio
, phiP
and mindist
.
Discrepancy measures provided by discrepancyCriteria
.
dimension <- 2
n <- 40
X <- matrix(runif(n*dimension), n, dimension)
meshRatio(X)