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Hierarchical Bayesian Model with Inequality Constraints for US County Estimates

Author

Listed:
  • Chen Lu

    (National Institute of Statistical Sciences, 1750 K Street, NW, Suite 1100, Washington. D.C., 20006-2306, U.S.A.)

  • Nandram Balgobin

    (Worcester Polytechnic Institute and USDA National Agricultural statistics Service, Department of Mathematical Sciences, Stratton Hall, 100 Institute Road, Worcester, MA 01609. U.S.A.)

  • Cruze Nathan B.

    (USDA National Agricultural statistics Service, 1400 Independence Avenue, SW, Washington, D.C. 20250-2054.)

Abstract

In the production of US agricultural official statistics, certain inequality and benchmarking constraints must be satisfied. For example, available administrative data provide an accurate lower bound for the county-level estimates of planted acres, produced by the U.S. Department of Agriculture’s (USDA) National Agricultural statistics Services (NASS). In addition, the county-level estimates within a state need to add to the state-level estimates. A sub-area hierarchical Bayesian model with inequality constraints to produce county-level estimates that satisfy these important relationships is discussed, along with associated measures of uncertainty. This model combines the County Agricultural Production Survey (CAPS) data with administrative data. Inequality constraints add complexity to fitting the model and present a computational challenge to a full Bayesian approach. To evaluate the inclusion of these constraints, the models with and without inequality constraints were compared using 2014 corn planted acres estimates for three states. The performance of the model with inequality constraints illustrates the improvement of county-level estimates in accuracy and precision while preserving required relationships.

Suggested Citation

  • Chen Lu & Nandram Balgobin & Cruze Nathan B., 2022. "Hierarchical Bayesian Model with Inequality Constraints for US County Estimates," Journal of Official Statistics, Sciendo, vol. 38(3), pages 709-732, September.
    • Handle: RePEc:vrs:offsta:v:38:y:2022:i:3:p:709-732:n:5
    DOI: 10.2478/jos-2022-0032
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    References listed on IDEAS

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    1. Nandram, Balgobin & Cruze, Nathan B & Erciulescu, Andreea L & Chen, Lu, 2022. "Bayesian Small Area Models under Inequality Constraints with Benchmarking and Double Shrinkage," NASS Research Reports 327250, United States Department of Agriculture, National Agricultural Statistics Service.
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