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Pemodelan Linear Berhierarki (HLM / Pemodelan Berbilang Aras)×Model Kesan Campuran×
BidangStatistikStatistik
KeluargaHypothesis testRegression model
Tahun asal19861982
PengasasRaudenbush & Bryk (popularized); Goldstein (parallel development)Laird & Ware
JenisParametric nested-data regressionMixed effects regression
Sumber perintisRaudenbush, S.W. & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 978-0761919049Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974. DOI ↗
AliasHLM, MLM, multilevel modeling, multilevel analysisLME, LMM, mixed model, random effects model
Berkaitan44
RingkasanHierarchical 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.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.
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ScholarGateBandingkan kaedah: Hierarchical Linear Modeling · Mixed Effects Model. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare