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Testlet Response Theory×베이지안 계층 모델×
분야Education베이지안
계열Latent structureBayesian methods
기원 연도20072006
창시자Howard Wainer, Eric Bradlow & Xiaohui WangGelman & Hill (2006); Bayesian multilevel tradition
유형Item response model accommodating local dependence within item bundles (testlets)hierarchical probabilistic model
원전Wainer, H., Bradlow, E. T., & Wang, X. (2007). Testlet Response Theory and Its Applications. Cambridge University Press. ISBN: 9780521681261Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗
별칭TRT, Testlet Models, Random-Effects Testlet Model, Item-Bundle IRTmultilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model
관련44
요약Testlet response theory (TRT) extends item response theory to tests built from testlets — bundles of items sharing a common stimulus, such as several questions about one reading passage. Standard IRT assumes items are conditionally independent given ability, but items within a testlet violate this because they draw on the same passage. TRT adds a testlet-specific random effect that absorbs this local dependence, preventing the overstated precision and biased parameters that result from ignoring it. Developed by Wainer, Bradlow, and Wang, it is widely used wherever passage-based or scenario-based items appear.Bayesian hierarchical modelling, popularised by Gelman and Hill (2006), is a Bayesian approach to nested data structures — such as students within schools within districts — that estimates separate parameters at each level while allowing those levels to share statistical strength through a mechanism called partial pooling. Where a classical hierarchical linear model treats group means as fixed unknown quantities, the Bayesian version places hyperprior distributions on those group means so that information flows freely across levels, producing more reliable group-level estimates whenever any individual group has few observations.
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