AvgAbsCor {LHD}

Calculate the Average Absolute Correlation

Description

AvgAbsCor returns the average absolute correlation of a matrix

Usage

AvgAbsCor(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 the average absolute correlation of input matrix. average absolute correlation = \frac{2 \sum_{i=1}^{k-1} \sum_{j=i+1}^{k}|q_{ij}|}{k(k-1)}

References

Georgiou, S. D. (2009) Orthogonal Latin hypercube designs from generalized orthogonal designs. Journal of Statistical Planning and Inference, 139, 1530-1540.

Examples

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

#Calculate the average absolute correlation of toy
AvgAbsCor(X=toy)