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Optimal sample coordination using controlled selection

By Alina Matei and Chris J. Skinner

Abstract

Sample coordination maximizes or minimizes the overlap of two or more samples selected from overlapping populations. It can be applied to designs with simultaneous or sequential selection of samples. We propose a method for sample coordination in the former case. We consider the case where units are to be selected with maximum overlap using two designs with given unit inclusion probabilities. The degree of coordination is measured by the expected sample overlap, which is bounded above by a theoretical bound, called the absolute upper bound, and which depends on the unit inclusion probabilities. If the expected overlap equals the absolute upper bound, the sample coordination is maximal. Most of the methods given in the literature consider fixed marginal sampling designs, but in many cases, the absolute upper bound is not achieved. We propose to construct optimal sampling designs for given unit inclusion probabilities in order to realize maximal coordination. Our method is based on some theoretical conditions on joint selection probability of two samples and on the controlled selection method with linear programming implementation. The method can also be applied to minimize the sample overlap

Topics: HA Statistics
Publisher: Elsevier
Year: 2009
DOI identifier: 10.1016/j.jspi.2009.02.012
OAI identifier: oai:eprints.lse.ac.uk:39116
Provided by: LSE Research Online

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Citations

  1. (1951). A method for sample selection providing unbiased ratio estimates.
  2. (1995). A reduced-size transportation algorithm for maximizing the overlap between surveys. Survey Methodology,
  3. (1990). An algorithm for optimal integration of two surveys.
  4. (1985). Application of transportation theory to statistical problems. doi
  5. (2000). Coordination of pps samples over time.
  6. (1995). Coordination of samples using permanent random numbers. doi
  7. (2005). Maximal and minimal sample co-ordination.
  8. (1998). Maximizing and minimizing overlap when selecting a large number of units per stratum simultaneously for two designs.
  9. (2002). Maximizing and minimizing overlap when selecting any number of units per stratum simultaneously for two designs with different stratifications.
  10. (1986). Maximizing the overlap between surveys when information is incomplete. doi
  11. (1996). Maximizing the overlap of sample units for two designs with simultaneous selection.
  12. (1993). Methods of selecting samples in multiple surveys to reduce respondent burden.
  13. (1940). On a least square adjustment of sampled frequency table when the expected marginal totals are known. doi
  14. (1990). Optimal controlled sampling designs. doi
  15. (1992). Optimal integration of surveys. doi
  16. (1992). Optimal’ controlled sampling: A unified approach. doi
  17. (2006). Optimizing the expected overlap of survey samples via the northwest corner rule. doi
  18. (1984). Poisson, modified Poisson and Collocated sampling. doi
  19. (1977). Sampling Techniques. doi
  20. (1968). Sampling Theory. doi
  21. (1951). Sampling with probabilities proportional to size: adjustment for changes in the probabilities. doi
  22. (1972). Selecting several samples from a single population. doi
  23. (1999). The maximization and minimization of sample overlap problems: a half century of results.
  24. (1992). Tirages coordonnés d’échantillons.

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