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النمذجة الخطية الهرمية (HLM / نمذجة المستويات المتعددة)×تحليل المكونات الرئيسية×
المجالالإحصاءتعلم الآلة
العائلةHypothesis testMachine learning
سنة النشأة19862002
صاحب الطريقةRaudenbush & Bryk (popularized); Goldstein (parallel development)Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)
النوعParametric nested-data regressionUnsupervised dimensionality reduction
المصدر التأسيسيRaudenbush, S.W. & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 978-0761919049Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗
الأسماء البديلةHLM, MLM, multilevel modeling, multilevel analysisTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
ذات صلة43
الملخصHierarchical 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.Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.
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ScholarGateقارن الطرق: Hierarchical Linear Modeling · Principal Component Analysis. استُرجع بتاريخ 2026-06-18 من https://scholargate.app/ar/compare