MaxProCriterion {LHD}

Calculate the Maximum Projection Criterion

Description

MaxProCriterion returns the maximum projection criterion of an LHD

Usage

MaxProCriterion(X)

Arguments

X

A matrix object. In general, X stands for the design matrix.

Value

If all inputs are logical, then the output will be a positive number indicating maximum projection criterion. maximum projection criterion = \Bigg{ \frac{1}{{n \choose 2}} \sum_{i=1}^{n-1} \sum_{j=i+1}^{n} \frac{1}{\Pi_{l=1}^{k}(x_{il}-x_{jl})^2} \Bigg}^{1/k}

References

Joseph, V. R., Gul, E., and Ba, S. (2015) Maximum projection designs for computer experiments. Biometrika, 102, 371-380.

Examples

#create a toy LHD with 5 rows and 3 columns
toy=rLHD(n=5,k=3);toy

#Calculate the maximum projection criterion of toy
MaxProCriterion(X=toy)