khvc: Covariance matrix for the difference between two K-functions

In splancs: Spatial and Space-Time Point Pattern Analysis

Covariance matrix for the difference between two K-functions

Description

Calculate the covariance matrix for the difference between two K-functions. Also return the contribution to the variance for each of the two point patterns,

Usage

khvc(pts1, pts2, poly, s)

Arguments

pts1	An object containing the case locations.
pts2	An object containing the control locations.
poly	A polygon enclosing the locations in pts1 and pts2
s	A vector of distances at which the calculation is to be made.

Value

A list with four components:

varmat	The upper triangle of the covariance matrix.
k11	The variance of Khat for the cases
k22	The variance of Khat for the controls
k12	The covariance of Khat for the cases and Khat for controls.

Note

Note that the diagonal of the covariance matrix is $k11 - 2 * $k12 + $k22

References

Rowlingson, B. and Diggle, P. 1993 Splancs: spatial point pattern analysis code in S-Plus. Computers and Geosciences, 19, 627-655; the original sources can be accessed at: https://www.maths.lancs.ac.uk/~rowlings/Splancs/. See also Bivand, R. and Gebhardt, A. 2000 Implementing functions for spatial statistical analysis using the R language. Journal of Geographical Systems, 2, 307-317.

See Also

khat, khvmat, secal

splancs documentation built on May 29, 2024, 6:22 a.m.