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Item response theory (IRT) models typically rely on a normality assumption for subject-specific latent traits, which is often unrealistic in practice. Semiparametric extensions based on Dirichlet process mixtures offer a more flexible…

Missingness is a common occurrence in educational assessment and psychological measurement. It could not be casually ignored as it may threaten the validity of the test if not handled properly. Considering the difference between omitted and…

Methodology · Statistics 2019-04-09 Jinxin Guo

Item parameter estimation in pharmacometric item response theory (IRT) models is predominantly performed using the Laplace estimation algorithm as implemented in NONMEM. In psychometrics a wide range of different software tools, including…

Methodology · Statistics 2025-03-18 Leticia Arrington , Sebastian Ueckert

Item response theory (IRT) models for categorical response data are widely used in the analysis of educational data, computerized adaptive testing, and psychological surveys. However, most IRT models rely on both the assumption that…

Machine Learning · Statistics 2015-01-14 Ryan Ning , Andrew E. Waters , Christoph Studer , Richard G. Baraniuk

Item response theory (IRT) is the statistical paradigm underlying a dominant family of generative probabilistic models for test responses, used to quantify traits in individuals relative to target populations. The graded response model…

Applications · Statistics 2022-05-03 Joshua C. Chang , Julia Porcino , Elizabeth K. Rasch , Larry Tang

Educational assessment relies heavily on knowing question difficulty, traditionally determined through resource-intensive pre-testing with students. This creates significant barriers for both classroom teachers and assessment developers. We…

Computers and Society · Computer Science 2026-02-03 Matias Hoyl

Incorporating Item Response Theory (IRT) into NLP tasks can provide valuable information about model performance and behavior. Traditionally, IRT models are learned using human response pattern (RP) data, presenting a significant bottleneck…

Computation and Language · Computer Science 2019-09-02 John P. Lalor , Hao Wu , Hong Yu

It is reasonable to consider, in many cases, that individuals' latent traits have a hierarchical structure such that more general traits are a suitable composition of more specific ones. Existing item response models that account for such…

Methodology · Statistics 2020-07-28 Juliane Venturelli S. L. , Flavio B. Gonçalves , Dalton F. Andrade

The rapid release of both language models and benchmarks makes it increasingly costly to evaluate every model on every dataset. In practice, models are often evaluated on different samples, making scores difficult to compare across studies.…

Computation and Language · Computer Science 2026-04-16 Eliya Habba , Itay Itzhak , Asaf Yehudai , Yotam Perlitz , Elron Bandel , Michal Shmueli-Scheuer , Leshem Choshen , Gabriel Stanovsky

Item Response Theory (IRT) is a powerful statistical approach for evaluating test items and determining test taker abilities through response analysis. An IRT model that better fits the data leads to more accurate latent trait estimates. In…

Machine Learning · Statistics 2024-10-03 Joakim Wallmark , Maria Josefsson , Marie Wiberg

Item Response Theory (IRT) is a well known method for assessing responses from humans in education and psychology. In education, IRT is used to infer student abilities and characteristics of test items from student responses. Interactions…

Artificial Intelligence · Computer Science 2023-07-20 Antti Keurulainen , Isak Westerlund , Oskar Keurulainen , Andrew Howes

Computer Adaptive Testing (CAT) aims to accurately estimate an individual's ability using only a subset of an Item Response Theory (IRT) instrument. Many applications also require diverse item exposure across testing sessions, preventing…

Methodology · Statistics 2026-04-01 Tina Su , Edison Choe , Joshua C. Chang

This paper follows previous research we have already performed in the area of Bayesian networks models for CAT. We present models using Item Response Theory (IRT - standard CAT method), Bayesian networks, and neural networks. We conducted…

Artificial Intelligence · Computer Science 2016-02-02 Martin Plajner , Jiří Vomlel

Multidimensional item response theory is a statistical test theory used to estimate the latent skills of learners and the difficulty levels of problems based on test results. Both compensatory and non-compensatory models have been proposed…

Methodology · Statistics 2025-07-22 Hiroshi Tamano , Hideitsu Hino , Daichi Mochihashi

The Work Disability Functional Assessment Battery (WD-FAB) is a multidimensional item response theory (IRT) instrument designed for assessing work-related mental and physical function based on responses to an item bank. In prior iterations…

Methodology · Statistics 2023-05-10 Joshua C. Chang , Carson C. Chow , Julia Porcino

Few models have been more ubiquitous in their respective fields than Bayesian knowledge tracing and item response theory. Both of these models were developed to analyze data on learners. However, the study designs that these models are…

Methodology · Statistics 2018-10-15 Benjamin Deonovic , Michael Yudelson , Maria Bolsinova , Meirav Attali , Gunter Maris

This paper proposes a method for assessing differential item functioning (DIF) in item response theory (IRT) models. The method does not require pre-specification of anchor items, which is its main virtue. It is developed in two main steps,…

Methodology · Statistics 2025-01-08 Peter F. Halpin

Analyses of heterogeneous treatment effects (HTE) are common in applied causal inference research. However, when outcomes are latent variables assessed via psychometric instruments such as educational tests, standard methods ignore the…

This study discusses an alternative tool for modeling student assessment data. The model constructs networks from a matrix item responses and attempts to represent these data in low dimensional Euclidean space. This procedure has advantages…

Applications · Statistics 2020-03-18 Alex Brodersen , Ick Hoon Jin , Ying Cheng , Minjeong Jeon

Integrating various data modalities brings valuable insights into underlying phenomena. Multimodal factor analysis (FA) uncovers shared axes of variation underlying different simple data modalities, where each sample is represented by a…

Machine Learning · Computer Science 2025-04-29 Małgorzata Łazęcka , Ewa Szczurek