Description Usage Arguments Value References Examples

Select spatially balanced samples with prescribed inclusion probabilities from a finite population. Euclidean distance is used in the `x`

space.

1 | ```
lpm1(prob,x)
``` |

`prob` |
vector of length N with inclusion probabilities |

`x` |
matrix of (standardized) auxiliary variables of N rows and q columns |

Returns a vector of selected indexes in 1,2,...,N. If the inclusion probabilities sum to n, where n is integer, then the sample size is fixed (n).

Grafstr<c3><b6>m, A., Lundstr<c3><b6>m, N.L.P. and Schelin, L. (2012). Spatially balanced sampling through the Pivotal method. Biometrics 68(2), 514-520.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | ```
## Not run:
# Example 1
set.seed(12345);
N = 1000; # population size
n = 100; # sample size
p = rep(n/N,N); # inclusion probabilities
X = cbind(runif(N),runif(N)); # matrix of auxiliary variables
s = lpm1(p,X); # select sample
plot(X[,1],X[,2]); # plot population
points(X[s,1],X[s,2], pch=19); # plot sample
# Example 2
# check inclusion probabilities
set.seed(12345);
p = c(0.2, 0.25, 0.35, 0.4, 0.5, 0.5, 0.55, 0.65, 0.7, 0.9); # prescribed inclusion probabilities
N = length(p); # population size
X = cbind(runif(N),runif(N)); # some artificial auxiliary variables
ep = rep(0,N); # empirical inclusion probabilities
nrs = 10000; # repetitions
for(i in 1:nrs){
s = lpm1(p,X);
ep[s]=ep[s]+1;
}
print(ep/nrs);
## End(Not run)
``` |

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