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| Pemodelan Linier Hirarkis (HLM / Pemodelan Multitingkat)× | Model Efek Campuran× | Analisis Varians Satu Arah× | |
|---|---|---|---|
| Bidang | Statistika | Statistika | Statistika |
| Keluarga≠ | Hypothesis test | Regression model | Hypothesis test |
| Tahun asal≠ | 1986 | 1982 | 1925 |
| Pencetus≠ | Raudenbush & Bryk (popularized); Goldstein (parallel development) | Laird & Ware | Ronald A. Fisher |
| Tipe≠ | Parametric nested-data regression | Mixed effects regression | Parametric mean comparison |
| Sumber perintis≠ | Raudenbush, S.W. & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 978-0761919049 | Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974. DOI ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| Alias≠ | HLM, MLM, multilevel modeling, multilevel analysis | LME, LMM, mixed model, random effects model | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Terkait | 4 | 4 | 4 |
| Ringkasan≠ | Hierarchical 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. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
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