mindist {DiceDesign} | R Documentation |
Compute the mindist
criterion (also called maximin)
mindist(design)
design |
a matrix (or a data.frame) representing the design of experiments in the unit cube [0,1] |
The mindist criterion is defined by
mindist= \min_{x_{i}\in X} \left( \gamma_{i} \right)
where \gamma_{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.
A real number equal to the value of the mindist criterion for the design
.
J. Franco
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.
other distance criteria like meshRatio
and phiP
,
discrepancy measures provided by discrepancyCriteria
.
dimension <- 2
n <- 40
X <- matrix(runif(n*dimension), n, dimension)
mindist(X)