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مدل‌سازی خطی سلسله‌مراتبی (HLM / مدل‌سازی چندسطحی)×مدل‌سازی معادلات ساختاری (SEM)×
حوزهآمارآمار
خانوادهHypothesis testLatent structure
سال پیدایش19861970
پدیدآورRaudenbush & Bryk (popularized); Goldstein (parallel development)Karl Jöreskog (LISREL framework, 1970s)
نوعParametric nested-data regressionLatent variable / causal modeling
منبع بنیادینRaudenbush, S.W. & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 978-0761919049Hair, J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2019). Multivariate Data Analysis (8th ed.). Cengage Learning. ISBN: 978-1473756540
نام‌های دیگرHLM, MLM, multilevel modeling, multilevel analysisYapısal Eşitlik Modellemesi (SEM), structural equation modelling, covariance structure analysis, latent variable modeling
مرتبط45
خلاصهHierarchical Linear Modeling (HLM), also known as Multilevel Modeling (MLM), is a parametric statistical method for analyzing nested or clustered data — for example students within classrooms, patients within hospitals, or employees within organizations. Formalized by Raudenbush and Bryk in their 2002 seminal text (building on work from the mid-1980s), HLM simultaneously estimates individual-level and group-level effects while correctly partitioning variance across levels.Structural equation modeling is a multivariate statistical framework that simultaneously estimates a measurement model — relating observed indicators to latent constructs — and a structural model specifying directional or reciprocal relationships among those constructs. Rooted in the LISREL tradition developed by Karl Jöreskog in the 1970s, SEM is the standard tool for testing complex theoretical models in the social, behavioural, and management sciences.
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ScholarGateمقایسهٔ روش‌ها: Hierarchical Linear Modeling · SEM. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare