Landing phase for the cube method
Landing phase of the cube method using linear programming.
landingcube(X,pikstar,pik,comment=TRUE)
X |
matrix of auxiliary variables on which the sample must be balanced. |
pikstar |
vector obtained at the end of the flight phase. |
pik |
vector of inclusion probabilities. |
comment |
a comment is written during the execution if |
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.
# matrix of balancing variables X=cbind(c(1,1,1,1,1,1,1,1,1),c(1.1,2.2,3.1,4.2,5.1,6.3,7.1,8.1,9.1)) # Vector of inclusion probabilities # The sample has the size equal to 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) # selection of the sample s s=landingcube(X,pikstar,pik,comment=TRUE) round(s)
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