maxpro.crit {SFDesign} | R Documentation |
Maximum projection (MaxPro) criterion
Description
This function calculates the MaxPro criterion of a design.
Usage
maxpro.crit(design, delta = 0)
Arguments
design |
the design matrix. |
delta |
a small value added to the denominator of the maximum projection criterion. By default it is set as zero. |
Details
maxpro.crit
calculates the MaxPro criterion of a design. The MaxPro criterion for a design D=[\bm x_1, \dots, \bm x_n]^T
is defined as
\left\{\frac{1}{{n\choose 2}}\sum_{i=1}^{n-1}\sum_{j=i+1}^{n}\frac{1}{\prod_{l=1}^p(x_{il}-x_{jl})^2+ \delta}\right\}^{1/p},
where p
is the dimension of the design (Joseph, V. R., Gul, E., & Ba, S. 2015).
Value
the MaxPro criterion of the design.
References
Joseph, V. R., Gul, E., & Ba, S. (2015). Maximum projection designs for computer experiments. Biometrika, 102(2), 371-380.
Examples
n = 20
p = 3
D = randomLHD(n, p)
maxpro.crit(D)
[Package SFDesign version 0.1.2 Index]