fastflightcube {sampling}

Fast flight phase for the cube method

Description

Executes the fast flight phase of the cube method (algorithm of Chauvet and Tillé, 2005, 2006). The data are sorted following the argument order. Inclusion probabilities equal to 0 or 1 are tolerated.

Usage

fastflightcube(X,pik,order=1,comment=TRUE)

Arguments

X

matrix of auxiliary variables on which the sample must be balanced.

pik

vector of inclusion probabilities.

order

1, the data are randomly arranged,
2, no change in data order,
3, the data are sorted in decreasing order.

comment

a comment is written during the execution if comment is TRUE.

References

Tillé, Y. (2006), Sampling Algorithms, Springer.
Chauvet, G. and Tillé, Y. (2006). A fast algorithm of balanced sampling. Computational Statistics, 21/1:53–62.
Chauvet, G. and Tillé, Y. (2005). New SAS macros for balanced sampling. In INSEE, editor, Journées de Méthodologie Statistique, Paris.
Deville, J.-C. and Tillé, Y. (2004). Efficient balanced sampling: the cube method. Biometrika, 91:893–912.
Deville, J.-C. and Tillé, Y. (2005). Variance approximation under balanced sampling. Journal of Statistical Planning and Inference, 128/2:411–425.

See Also

samplecube

Examples

# Matrix of balancing variables
X=cbind(c(1,1,1,1,1,1,1,1,1),c(1,2,3,4,5,6,7,8,9))
# Vector of inclusion probabilities.
# The sample size is 3.
pik=c(1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3)
# pikstar is almost a balanced sample and is ready for the landing phase
pikstar=fastflightcube(X,pik,order=1,comment=TRUE)
pikstar