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| Model Mieszanych Efektów× | Modelowanie wielopoziomowe× | |
|---|---|---|
| Dziedzina≠ | Statystyka | Statystyka w badaniach |
| Rodzina≠ | Regression model | Process / pipeline |
| Rok powstania≠ | 1982 | 1992 |
| Twórca≠ | Laird & Ware | Anthony Bryk and Stephen Raudenbush |
| Typ≠ | Mixed effects regression | Method |
| Źródło pierwotne≠ | 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 ↗ |
| Inne nazwy | LME, LMM, mixed model, random effects model | HLM, mixed-effects models, random effects models, MLM |
| Pokrewne≠ | 4 | 3 |
| Podsumowanie≠ | 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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