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Optimal Stratification and Allocation for the June Agricultural Survey

Author

Listed:
  • Lisic Jonathan

    (Cigna, 900 Cottage Grove Rd, Bloomfield, CT 06002, USA)

  • Sang Hejian

    (Iowa State University, Osborn Dr, Ames, IA 50011 USA)

  • Zhu Zhengyuan

    (Iowa State University, Osborn Dr, Ames, IA 50011 USA)

  • Zimmer Stephanie

    (Iowa State University, Osborn Dr, Ames, IA 50011 USA)

Abstract

A computational approach to optimal multivariate designs with respect to stratification and allocation is investigated under the assumptions of fixed total allocation, known number of strata, and the availability of administrative data correlated with thevariables of interest under coefficient-of-variation constraints. This approach uses a penalized objective function that is optimized by simulated annealing through exchanging sampling units and sample allocations among strata. Computational speed is improved through the use of a computationally efficient machine learning method such as K-means to create an initial stratification close to the optimal stratification. The numeric stability of the algorithm has been investigated and parallel processing has been employed where appropriate. Results are presented for both simulated data and USDA’s June Agricultural Survey. An R package has also been made available for evaluation.

Suggested Citation

  • Lisic Jonathan & Sang Hejian & Zhu Zhengyuan & Zimmer Stephanie, 2018. "Optimal Stratification and Allocation for the June Agricultural Survey," Journal of Official Statistics, Sciendo, vol. 34(1), pages 121-148, March.
    • Handle: RePEc:vrs:offsta:v:34:y:2018:i:1:p:121-148:n:7
    DOI: 10.1515/jos-2018-0007
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    References listed on IDEAS

    as
    1. Kott, Phillip S. & Bailey, Jeffrey T., 2000. "The Theory and Practice of Maximal Brewer Selection with Poisson PRN Sampling," NASS Research Reports 234380, United States Department of Agriculture, National Agricultural Statistics Service.
    2. Barcaroli, Giulio, 2014. "SamplingStrata: An R Package for the Optimization of Stratified Sampling," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 61(i04).
    3. Bruce Hajek, 1988. "Cooling Schedules for Optimal Annealing," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 311-329, May.
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