When auxiliary information is available at the design stage, samples may be selected bymeans of balanced sampling. Deville and Tillé proposed in 2004 a general algorithm toperform balanced sampling, named the cube method. In this paper, we are interested in aparticular case of the cube method...

Populations are currently stratified into subpopulations before drawing samples,with a gain in accuracy if the strata are homogeneous for the interest variable.If auxiliary variables are available for each unit, the sampling may be enhancedby balanced sampling if the sampling sizes per stratum...