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| Multilevel Item Response Theory× | Model Rasch× | |
|---|---|---|
| Bidang≠ | Education | Psikometri |
| Keluarga | Latent structure | Latent structure |
| Tahun asal≠ | 2010 | 1960 |
| Pencetus≠ | Adams, Wilson & Wu; Fox & Glas; De Boeck & Wilson | Georg Rasch |
| Tipe≠ | Item response models with a multilevel structure on the latent ability | Item Response Theory / Latent trait model |
| Sumber perintis≠ | Fox, J.-P. (2010). Bayesian Item Response Modeling: Theory and Applications. Springer. DOI ↗ | Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Danish Institute for Educational Research, Copenhagen. link ↗ |
| Alias | Multilevel IRT, MLIRT, Hierarchical IRT, Explanatory Item Response Models | 1PL IRT, one-parameter logistic model, Rasch Modeli — 1PL IRT, 1PL model |
| Terkait≠ | 4 | 6 |
| Ringkasan≠ | 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. | The Rasch model, introduced by Georg Rasch in 1960, is the simplest member of the Item Response Theory (IRT) family. It assigns a single difficulty parameter to each test item and places both item difficulties and person abilities on the same logit scale, enabling direct, sample-independent comparison of items and persons. |
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