sb_vk | R Documentation |
Calculates the v_k values of the spatial balance developped by Stevens and Olsen (2004) and suggested by Grafström et al. (2012).
sb_vk(pik, X, s)
pik |
vector of the inclusion probabilities. The length should be equal to N. |
X |
matrix representing the spatial coordinates. |
s |
A vector of size N with elements equal 0 or 1. The value 1 indicates that the unit is selected while the value 0 is for non-chosen unit. |
The spatial balance measure based on the Voronoï polygons is defined by
B(S) = \frac{1}{n}∑_{k\in S} (v_k -1)^2 .
The function return the v_k values and is mainly based on the function sb
of the package BalancedSampling
Grafström and Lisic (2019).
A vector of size N with elements equal to the v_k values. If the unit is not selected then the value is equal to 0.
Raphaël Jauslin raphael.jauslin@unine.ch
Grafström, A., Lundström, N.L.P. and Schelin, L. (2012). Spatially balanced sampling through the Pivotal method. Biometrics, 68(2), 514-520
Grafström, A., Lisic J. (2019). BalancedSampling: Balanced and Spatially Balanced Sampling. R package version 1.5.5. https://CRAN.R-project.org/package=BalancedSampling
Stevens, D. L. Jr. and Olsen, A. R. (2004). Spatially balanced sampling of natural resources. Journal of the American Statistical Association 99, 262-278
BalancedSampling::sb
N <- 50 n <- 10 X <- as.matrix(cbind(runif(N),runif(N))) pik <- rep(n/N,N) s <- wave(X,pik) v <- sb_vk(pik,X,s)
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