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| Testlet Response Theory× | Bayesian Hierarchical Model× | |
|---|---|---|
| Field≠ | Education | Bayesian |
| Family≠ | Latent structure | Bayesian methods |
| Year of origin≠ | 2007 | 2006 |
| Originator≠ | Howard Wainer, Eric Bradlow & Xiaohui Wang | Gelman & Hill (2006); Bayesian multilevel tradition |
| Type≠ | Item response model accommodating local dependence within item bundles (testlets) | hierarchical probabilistic model |
| Seminal source≠ | Wainer, H., Bradlow, E. T., & Wang, X. (2007). Testlet Response Theory and Its Applications. Cambridge University Press. ISBN: 9780521681261 | Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗ |
| Aliases≠ | TRT, Testlet Models, Random-Effects Testlet Model, Item-Bundle IRT | multilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model |
| Related | 4 | 4 |
| Summary≠ | Testlet 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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