dij: Calculate the Inter-site Distance
In LHD: Latin Hypercube Designs (LHDs)

Description Usage Arguments Value Examples

dij returns the inter-site distance of two design points of an LHD

1	dij(X, i, j, q = 1)

`X`	A matrix object. In general, `X` stands for the design matrix.
`i`	A positive integer, which stands for the i^th row of `X`.
`j`	A positive integer, which stands for the j^th row of `X`. Both `i` and `j` should be in [1,nrow(X)] and they should not be equal to each other.
`q`	The default is set to be 1, and it could be either 1 or 2. If `q` is 1, `dij` is the Manhattan (rectangular) distance. If `q` is 2, `dij` is the Euclidean distance.

If all inputs are logical, then the output will be a positive number indicating the distance. dij = \left\{ \sum_{k=1}^{m} \vert x_{ik}-x_{jk}\vert ^q \right\}^{1/q}

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

#Calculate the inter-site distance of the 2nd and the 4th row of toy (with default q)
dij(X=toy,i=2,j=4)

#Calculate the inter-site distance of the 2nd and the 4th row of toy (with q=2)
dij(X=toy,i=2,j=4,q=2)