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Random Coefficient Models for Multilevel Analysis

Author

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  • Jan De Leeuw
  • Ita Kreft

Abstract

We propose a possible statistical model for both contextual analysis and slopes as outcomes analysis. These techniques have been used in multilevel analysis for quite some time, but a precise specification of the regression models has not been given before. We formalize them by proposing a random coefficient regression model, and we investigate its statistical properties in some detail. Various estimation methods are reviewed and applied to Dutch school-career example.

Suggested Citation

  • Jan De Leeuw & Ita Kreft, 1986. "Random Coefficient Models for Multilevel Analysis," Journal of Educational and Behavioral Statistics, , vol. 11(1), pages 57-85, March.
    • Handle: RePEc:sae:jedbes:v:11:y:1986:i:1:p:57-85
    DOI: 10.3102/10769986011001057
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    Cited by:

    1. Blut, Markus & Beatty, Sharon E. & Evanschitzky, Heiner & Brock, Christian, 2014. "The Impact of Service Characteristics on the Switching Costs–Customer Loyalty Link," Journal of Retailing, Elsevier, vol. 90(2), pages 275-290.
    2. Maria Grazia Pittau & Riccardo Massari & Roberto Zelli, 2013. "Hierarchical Modelling of Disparities in Preferences for Redistribution," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(4), pages 556-584, August.
    3. Ying Liu & Fang Luo & Danhui Zhang & Hongyun Liu, 2017. "Comparison and robustness of the REML, ML, MIVQUE estimators for multi-level random mediation model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(9), pages 1644-1661, July.
    4. Vincenzo Memoli & Venera Tomaselli, 2018. "Non-European immigration: European public opinion through media," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 72(3), pages 29-39, July-Sept.
    5. Xu, Mengya & Xin, Jing & Su, Shiliang & Weng, Min & Cai, Zhongliang, 2017. "Social inequalities of park accessibility in Shenzhen, China: The role of park quality, transport modes, and hierarchical socioeconomic characteristics," Journal of Transport Geography, Elsevier, vol. 62(C), pages 38-50.
    6. Ita G.G. Kreft, 1998. "An Illustration of Item Homoge-Neity Scaling and Multilevel Analysis Techniques in the Evaluation of Drug Prevention Programs," Evaluation Review, , vol. 22(1), pages 46-77, February.

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