| InterleavedMaximinD {LatticeDesign} | R Documentation |
Interleaved lattice-based maximin distance designs
Description
Generates an interleaved lattice-based maximin distance design.
Usage
InterleavedMaximinD(p,n,weight=rep(1,p));
InterleavedMaximinDAlg1(p,n,weight=rep(1,p));
InterleavedMaximinDAlg2(p,n,weight=rep(1,p));
InterleavedMaximinDAlg3(p,n,weight=rep(1,p));
Arguments
p |
Number of dimensions, must be an integer greater than one. |
n |
Targeted number of points, must be an integer greater than one. |
weight |
Optional, the weights used in the distance measure, higher for more important variable. |
Details
This function generates an interleaved lattice-based maximin distance design in p dimensions and at least n points, following the algorithms provided in the paper "Interleaved lattice-based maximin distance designs". Function InterleavedMaximinD uses the recommended algorithm provided in the paper. Functions InterleavedMaximinDAlg1, InterleavedMaximinDAlg2, and InterleavedMaximinDAlg3 use Algorithm 1, 2, and 3, respectively. For InterleavedMaximinDAlg1, p must be no greater than 5. For InterleavedMaximinDAlg3, p must be greater than 8.
Value
The value returned from the function is a list containing the following components:
Design |
The generated design. |
SeparationDistance |
The separation distance of the generated design. |
m |
The actual number of points of the generated design. |
DesignTransformed |
The generated design that is transformed to the rectangular design space given the weights. |
weight |
The weight used in the distance measure, higher for more important variable. |
s_vector |
The numbers of distinct levels of the generated design. |
L01 |
The base design. |
References
He, Xu (2019). "Interleaved lattice-based maximin distance designs", Biometrika, 106(2): 453-464.
Examples
InterleavedMaximinD(p=3,n=10,weight=rep(1,3));
InterleavedMaximinDAlg1(p=3,n=10);
InterleavedMaximinDAlg2(p=6,n=10);
InterleavedMaximinDAlg3(p=9,n=257);