مقایسهٔ روشها
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| مدل اثرات مختلط (یا مدل خطی مختلط) رگرسیون معمولی را با گنجاندن هر دو اثرات ثابت× | مدلسازی چندسطحی× | |
|---|---|---|
| حوزه≠ | آمار | آمار پژوهش |
| خانواده≠ | Regression model | Process / pipeline |
| سال پیدایش≠ | 1982 | 1992 |
| پدیدآور≠ | Laird & Ware | Anthony Bryk and Stephen Raudenbush |
| نوع≠ | Mixed effects regression | Method |
| منبع بنیادین≠ | 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 ↗ |
| نامهای دیگر | LME, LMM, mixed model, random effects model | HLM, mixed-effects models, random effects models, MLM |
| مرتبط≠ | 4 | 3 |
| خلاصه≠ | 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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