PhipMeasure

For a given design Phi_p criterion (Morris and Mitchell, 1995) is calculated using this function. Lesser the value of Phi_p criterion better the design in terms of space-filling.

Computer Experiments

Space-filling measure

Latin Hypercube Designs

phip

CompExpDes

Space-Filling Designs

In computer experiments space-filling designs are having great impact. Most popularly used space-filling designs are Uniform designs (UDs), Latin hypercube designs (LHDs) etc. For further references one can see Mckay (1979) <DOI:10.1080/00401706.1979.10489755> and Fang (1980) <https://cir.nii.ac.jp/crid/1570291225616774784>. In this package, we have provided algorithms for generate efficient LHDs and UDs. Here, generated LHDs are efficient as they possess lower value of Maxpro measure, Phi_p value and Maximum Absolute Correlation (MAC) value based on the weightage given to each criterion. On the other hand, the produced UDs are having good space-filling property as they always attain the lower bound of Discrete Discrepancy measure. Further, some useful functions added in this package for adding more value to this package.

Ashutosh  Dalal

Designs for Computer Experimentations

Cini Varghese

Rajender Parsad

Mohd Harun

PhipMeasure function

<dl> <dt>design</dt>
<dd>A design matrix is needed</dd> <dt>p</dt>
<dd>Any positive integer. Default value of p = 15.</dd> <dt>q</dt>
<dd>Any positive integer. Default value of q = 1. This implies that we are considering here Euclidean distance.</dd></dl>

Arguments

Ashutosh Dalal,
Cini Varghese,
Rajender Parsad and
Mohd Harun

Author

Phi_p criterion — PhipMeasure

<dl>

 <dt>design</dt>
<dd>A design matrix is needed</dd>

 <dt>p</dt>
<dd>Any positive integer. Default value of p = 15.</dd>

 <dt>q</dt>
<dd>Any positive integer. Default value of q = 1. This implies that we are considering here Euclidean distance.</dd>

</dl>

PhipMeasure: Phi_p criterion

Description

Usage

Value

Arguments

Author

References

Examples