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稳健分层线性模型×分层线性模型 (HLM)×
领域统计学统计学
方法族Regression modelRegression model
起源年份20041992
提出者Maas & Hox (2004); Goldstein et al. (2018)Bryk & Raudenbush
类型Robust multilevel regressionMultilevel linear regression
开创性文献Maas, C. J. M., & Hox, J. J. (2004). Robustness issues in multilevel regression analysis. Statistica Neerlandica, 58(2), 127–137. DOI ↗Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage Publications. ISBN: 978-0761919049
别名robust HLM, robust multilevel model, robust mixed-effects linear model, robust nested regressionHLM, multilevel linear model, nested data model, random coefficient model
相关54
摘要Robust Hierarchical Linear Model (Robust HLM) extends standard HLM by replacing or protecting its standard errors against violations of distributional assumptions — chiefly non-normal residuals, heteroscedasticity, and influential clusters. It retains the nested, two-level (or higher) structure while producing more trustworthy inference under real-world data conditions.The Hierarchical Linear Model (HLM) is a multilevel regression method designed for data in which lower-level units (e.g., students, patients) are nested within higher-level groups (e.g., schools, hospitals). It simultaneously models within-group relationships and between-group variation, producing unbiased estimates and correct standard errors that ordinary regression cannot provide for nested data.
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ScholarGate方法对比: Robust Hierarchical Linear Model · Hierarchical Linear Model. 于 2026-06-17 检索自 https://scholargate.app/zh/compare