A real number equal to the value of the coverage criterion for the design.
Arguments
design
a matrix (or a data.frame) representing the design of experiments representing the design of experiments in the unit cube [0,1]\(^d\). If this last condition is not fulfilled, a transformation into [0,1]\(^{d}\) is applied before the computation of the criteria.
Author
J. Franco
Details
The coverage criterion is defined by
$$coverage=\frac{1}{\bar{\gamma}} \left[ \frac{1}{n} \sum_{i=1}^{n}
\left( \gamma_{i} - \bar{\gamma} \right)^2 \right]^{1/2}$$
where \(\gamma_{i}\) is the minimal distance between the point \(x_{i}\)
and the other points of the design and \(\bar{\gamma}\) is
the mean of the \(\gamma_{i}\).
Note that for a regular mesh, cov=0. Then, a small value of cov means that the design is close to a regular grid.