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| Multilevel Item Response Theory× | النمذجة متعددة المستويات× | |
|---|---|---|
| المجال≠ | Education | إحصاء البحث |
| العائلة≠ | Latent structure | Process / pipeline |
| سنة النشأة≠ | 2010 | 1992 |
| صاحب الطريقة≠ | Adams, Wilson & Wu; Fox & Glas; De Boeck & Wilson | Anthony Bryk and Stephen Raudenbush |
| النوع≠ | Item response models with a multilevel structure on the latent ability | Method |
| المصدر التأسيسي≠ | Fox, J.-P. (2010). Bayesian Item Response Modeling: Theory and Applications. Springer. DOI ↗ | Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications. DOI ↗ |
| الأسماء البديلة | Multilevel IRT, MLIRT, Hierarchical IRT, Explanatory Item Response Models | HLM, mixed-effects models, random effects models, MLM |
| ذات صلة≠ | 4 | 3 |
| الملخص≠ | Multilevel item response theory (MLIRT) joins two powerful frameworks: an IRT measurement model that turns item responses into a latent ability, and a multilevel structural model that explains how that ability varies across nested groups such as classrooms, schools, or countries. Instead of first scoring a test and then running a multilevel regression on the scores, MLIRT does both at once, so that measurement error in ability is properly carried into the group-level analysis. It is the rigorous way to study how student and school characteristics relate to a latent trait measured by a test. | 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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