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领域统计学研究统计学
方法族Regression modelProcess / pipeline
起源年份19821992
提出者Laird & WareAnthony Bryk and Stephen Raudenbush
类型Mixed effects regressionMethod
开创性文献Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974. DOI ↗Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications. DOI ↗
别名LME, LMM, mixed model, random effects modelHLM, mixed-effects models, random effects models, MLM
相关43
摘要A mixed effects model (or linear mixed model) extends ordinary regression by including both fixed effects — population-level parameters shared by all observations — and random effects that capture subject-, group-, or cluster-level variability. It is the standard tool for repeated-measures, longitudinal, and multilevel data where observations within the same unit are correlated.Multilevel modeling (also called hierarchical linear modeling, mixed-effects modeling) is a statistical framework for analyzing data organized in nested or clustered structures—students within schools, patients within hospitals, repeated measures within individuals. Developed by Bryk and Raudenbush (1992), it accounts for dependency among observations and partitions variance into levels (within-cluster and between-cluster), enabling valid inference and revealing context effects. Essential in education, medicine, organizational research, and any field where data have natural hierarchies.
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ScholarGate方法对比: Mixed Effects Model · Multilevel Modeling. 于 2026-06-17 检索自 https://scholargate.app/zh/compare