vDBS | R Documentation |
Variance estimator for sample that are at the same time well spread and balanced on auxiliary variables. See Grafstr\"om and Till\'e (2013)
vDBS(Xauxs, Xspreads, piks, ys)
Xauxs |
A matrix of size (n x p) of auxiliary variables on which the sample must be balanced. |
Xspreads |
Matrix of spatial coordinates. |
piks |
A vector of inclusion probabilities. The vector has the size n of the sample s. |
ys |
A variable of interest. The vector has the size n of the sample s. |
Estimated variance of the horvitz-thompson estimator.
Raphaël Jauslin raphael.jauslin@unine.ch
Grafstr\"om, A. and Till\'e, Y. (2013), Doubly balanced spatial sampling with spreading and restitution of auxiliary totals, Environmetrics, 14(2):120-131
vDBS
vApp
N <- 100 n <- 40 x1 <- rgamma(N,4,25) x2 <- rgamma(N,4,25) pik <- rep(n/N,N) Xaux <- cbind(pik,as.matrix(matrix(c(x1,x2),ncol = 2))) Xspread <- cbind(runif(N),runif(N)) s <- balseq(pik,Xaux,Xspread) y <- Xaux%*%c(1,1,3) + rnorm(N,120) # variable of interest vEst(Xaux[s,],pik[s],y[s]) vDBS(Xaux[s,],Xspread[s,],pik[s],y[s]) vApp(Xaux,pik,y)
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