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Exact optimal sample allocation: More efficient than Neyman

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  • Wright, Tommy

Abstract

Neyman allocation (1) rarely yields integer solutions; (2) does not guarantee minimum sampling variance after rounding; and (3) can result in a stratum sample size that exceeds the overall stratum size. Using a simple decomposition, our exact optimal algorithms completely prevent these problems.

Suggested Citation

  • Wright, Tommy, 2017. "Exact optimal sample allocation: More efficient than Neyman," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 50-57.
    • Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:50-57
    DOI: 10.1016/j.spl.2017.04.026
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    References listed on IDEAS

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    1. Tommy Wright, 2012. "The Equivalence of Neyman Optimum Allocation for Sampling and Equal Proportions for Apportioning the U.S. House of Representatives," The American Statistician, Taylor & Francis Journals, vol. 66(4), pages 217-224, November.
    2. Carrizosa, Emilio & Romero Morales, Dolores, 2007. "A biobjective method for sample allocation in stratified sampling," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1074-1089, March.
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    Citations

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    Cited by:

    1. M. G. M. Khan & Jacek Wesołowski, 2019. "Neyman-type sample allocation for domains-efficient estimation in multistage sampling," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 103(4), pages 563-592, December.
    2. Bryan E. Shepherd & Kyunghee Han & Tong Chen & Aihua Bian & Shannon Pugh & Stephany N. Duda & Thomas Lumley & William J. Heerman & Pamela A. Shaw, 2023. "Multiwave validation sampling for error‐prone electronic health records," Biometrics, The International Biometric Society, vol. 79(3), pages 2649-2663, September.
    3. Wright, Tommy, 2020. "A general exact optimal sample allocation algorithm: With bounded cost and bounded sample sizes," Statistics & Probability Letters, Elsevier, vol. 165(C).
    4. Wesołowski Jacek, 2019. "Multi-Domain Neyman-Tchuprov Optimal Allocation," Statistics in Transition New Series, Polish Statistical Association, vol. 20(4), pages 1-12, December.
    5. Jacek Wesołowski, 2019. "Multi-Domain Neyman-Tchuprov Optimal Allocation," Statistics in Transition New Series, Polish Statistical Association, vol. 20(4), pages 1-12, December.

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