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Nonparametric bootstrapping for hierarchical data

Author

Listed:
  • Shiquan Ren
  • Hong Lai
  • Wenjing Tong
  • Mostafa Aminzadeh
  • Xuezhang Hou
  • Shenghan Lai

Abstract

Nonparametric bootstrapping for hierarchical data is relatively underdeveloped and not straightforward: certainly it does not make sense to use simple nonparametric resampling, which treats all observations as independent. We have provided some resampling strategies of hierarchical data, proved that the strategy of nonparametric bootstrapping on the highest level (randomly sampling all other levels without replacement within the highest level selected by randomly sampling the highest levels with replacement) is better than that on lower levels, analyzed real data and performed simulation studies.

Suggested Citation

  • Shiquan Ren & Hong Lai & Wenjing Tong & Mostafa Aminzadeh & Xuezhang Hou & Shenghan Lai, 2010. "Nonparametric bootstrapping for hierarchical data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1487-1498.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:9:p:1487-1498
    DOI: 10.1080/02664760903046102
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    Cited by:

    1. Wen Shi & Xi Chen & Jennifer Shang, 2019. "An Efficient Morris Method-Based Framework for Simulation Factor Screening," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 745-770, October.
    2. Fatih Unlu & Douglas Lee Lauen & Sarah Crittenden Fuller & Tiffany Berglund & Elc Estrera, 2021. "Can Quasi‐Experimental Evaluations That Rely On State Longitudinal Data Systems Replicate Experimental Results?," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 40(2), pages 572-613, March.
    3. Sherri Rose & Sharon‐Lise Normand, 2019. "Double robust estimation for multiple unordered treatments and clustered observations: Evaluating drug‐eluting coronary artery stents," Biometrics, The International Biometric Society, vol. 75(1), pages 289-296, March.
    4. Stephen C. Newbold & Patrick J. Walsh & D. Matthew Massey & Julie Hewitt, 2018. "Using structural restrictions to achieve theoretical consistency in benefit transfers," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 69(3), pages 529-553, March.
    5. Bei Wang & Yi Zheng & Kyle M. Irimata & Jeffrey R. Wilson, 2019. "Bootstrap ICC estimators in analysis of small clustered binary data," Computational Statistics, Springer, vol. 34(4), pages 1765-1778, December.
    6. Thomas A. Davidson & Carl D. Sayer & Erik Jeppesen & Martin Søndergaard & Torben L. Lauridsen & Liselotte S. Johansson & Ambroise Baker & Daniel Graeber, 2023. "Bimodality and alternative equilibria do not help explain long-term patterns in shallow lake chlorophyll-a," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    7. Daniel Graeber & Mark J. McCarthy & Tom Shatwell & Dietrich Borchardt & Erik Jeppesen & Martin Søndergaard & Torben L. Lauridsen & Thomas A. Davidson, 2024. "Consistent stoichiometric long-term relationships between nutrients and chlorophyll-a across shallow lakes," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    8. Guilherme Ramos & Sérgio Pequito, 2020. "Generating complex networks with time-to-control communities," PLOS ONE, Public Library of Science, vol. 15(8), pages 1-12, August.
    9. Zarychta, Alan, 2020. "Making social services work better for the poor: Evidence from a natural experiment with health sector decentralization in Honduras," World Development, Elsevier, vol. 133(C).
    10. Mohamed El Alili & Johanna M. van Dongen & Jonas L. Esser & Martijn W. Heymans & Maurits W. van Tulder & Judith E. Bosmans, 2022. "A scoping review of statistical methods for trial‐based economic evaluations: The current state of play," Health Economics, John Wiley & Sons, Ltd., vol. 31(12), pages 2680-2699, December.
    11. Amadou Barry & Karim Oualkacha & Arthur Charpentier, 2023. "Alternative fixed-effects panel model using weighted asymmetric least squares regression," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(3), pages 819-841, September.

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