Efficient balanced sampling: The cube method

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 unequal inclusion probabilities and any number of auxiliary variables. Copyright 2004, Oxford University Press.

[1]  A. Favre,et al.  Optimal allocation in balanced sampling , 2005 .

[2]  Yves Tillé,et al.  Variance approximation under balanced sampling , 2005 .

[3]  Yves Tillé,et al.  Selection of several unequal probability samples from the same population , 2000 .

[4]  Richard Valliant,et al.  Finite population sampling and inference : a prediction approach , 2000 .

[5]  J. Deville,et al.  Unequal probability sampling without replacement through a splitting method , 1998 .

[6]  Carl-Erik Särndal,et al.  Model Assisted Survey Sampling , 1997 .

[7]  A. Hedayat,et al.  Generating desirable sampling plans by the technique of trade-off in experimental design , 1995 .

[8]  Echantillonnage représentatif optimum à probabilités inégales , 1991 .

[9]  Jean-Claude Deville,et al.  Efficient Sampling Algorithms and Balanced Samples , 1988 .

[10]  G. Montanari.  Post-sampling efficient QR-prediction in large-sample surveys , 1987 .

[11]  A. Sunter,et al.  Solutions to the Problem of Unequal Probability Sampling Without Replacement , 1986 .

[12]  J. Hájek,et al.  Sampling from a finite population , 1982 .

[13]  A. B. Sunter,et al.  List Sequential Sampling with Equal or Unequal Probabilities without Replacement , 1977 .

[14]  H. P. Wynn,et al.  Convex Sets of Finite Population Plans , 1977 .

[15]  R. Royall,et al.  Robust Estimation in Finite Populations I , 1973 .

[16]  B. Rosén.  Asymptotic Theory for Successive Sampling with Varying Probabilities Without Replacement, II , 1972 .

[17]  J. Hájek.  Asymptotic Theory of Rejective Sampling with Varying Probabilities from a Finite Population , 1964 .

[18]  Mervin E. Muller,et al.  Development of Sampling Plans by Using Sequential (Item by Item) Selection Techniques and Digital Computers , 1962 .

[19]  F. Yates,et al.  Sampling Methods for Censuses and Surveys , 1950 .

[20]  W. G. Madow.  On the Theory of Systematic Sampling, II , 1944 .

[21]  M. H. Hansen,et al.  On the Theory of Sampling from Finite Populations , 1943 .

[22]  J. Neyman.  Contribution to the Theory of Sampling Human Populations , 1938 .

[23]  J. Neyman.  On the Two Different Aspects of the Representative Method: the Method of Stratified Sampling and the Method of Purposive Selection , 1934 .

[24]  Al. A. Tchouproff.  ON THE MATHEMATICAL EXPECTATION OF THE MOMENTS OF FREQUENCY DISTRIBUTIONS , 1918 .