Efficient balanced sampling: The cube method

@article{Deville2004EfficientBS,
  title={Efficient balanced sampling: The cube method},
  author={J C Deville and Yves Till{\'e}},
  journal={Biometrika},
  year={2004},
  volume={91},
  pages={893-912}
}
A balanced sampling design is defined by the property that the Horvitz--Thompson estimators of the population totals of a set of auxiliary variables equal the known totals of these variables. Therefore the variances of estimators of totals of all the variables of interest are reduced, depending on the correlations of these variables with the controlled variables. In this paper, we develop a general method, called the cube method, for selecting approximately balanced samples with equal or… 
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