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Multilevel Item Response Theory×Educational Hierarchical Linear Modeling×
क्षेत्रEducationEducation
परिवारLatent structureRegression model
उद्भव वर्ष20102002
प्रवर्तकAdams, Wilson & Wu; Fox & Glas; De Boeck & WilsonStephen Raudenbush & Anthony Bryk
प्रकारItem response models with a multilevel structure on the latent abilityMultilevel regression for hierarchically nested educational data
मौलिक स्रोतFox, J.-P. (2010). Bayesian Item Response Modeling: Theory and Applications. Springer. DOI ↗Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 9780761919049
उपनामMultilevel IRT, MLIRT, Hierarchical IRT, Explanatory Item Response ModelsMultilevel Models in Education, Students-in-Schools HLM, School Effects Multilevel Model, Random-Effects Models for Educational Data
संबंधित44
सारांशMultilevel 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.Educational hierarchical linear modeling (HLM) is a multilevel regression framework for data in which students are nested within classrooms and classrooms within schools. Formalized for education by Raudenbush and Bryk, it lets the intercept and slopes of a student-level regression vary across schools, simultaneously estimating student-level relationships, school-level relationships, and the cross-level interactions between them — while producing correct standard errors that single-level regression on clustered data cannot.
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