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Large language models (LLMs) achieve high performance on mathematical reasoning, but these results can be inflated by training data leakage or superficial pattern matching rather than genuine reasoning. To this end, an adversarial…

Computation and Language · Computer Science 2026-02-03 Xinyuan Li , Murong Xu , Wenbiao Tao , Hanlun Zhu , Yike Zhao , Jipeng Zhang , Yunshi Lan

This paper presents a machine learning approach to multidimensional item response theory (MIRT), a class of latent factor models that can be used to model and predict student performance from observed assessment data. Inspired by…

Machine Learning · Statistics 2025-01-08 Yoav Bergner , Peter F. Halpin , Jill-Jênn Vie

Item Response Theory becomes an increasingly important tool when analyzing ``Big Data'' gathered from online educational venues. However, the mechanism was originally developed in traditional exam settings, and several of its assumptions…

Physics Education · Physics 2014-05-29 Gerd Kortemeyer

Dynamic Item Response Models extend the standard Item Response Theory (IRT) to capture temporal dynamics in learner ability. While these models have the potential to allow instructional systems to actively monitor the evolution of learner…

Machine Learning · Computer Science 2023-11-16 Yunsung Kim , Sreechan Sankaranarayanan , Chris Piech , Candace Thille

Item Response Theory (IRT) was originally developed in traditional exam settings, and it has been shown that the model does not readily transfer to formative assessment in the form of online homework. We investigate if this is mostly due to…

Physics Education · Physics 2015-03-24 Emre Gönülateş , Gerd Kortemeyer

Item response theory (IRT) models explain an observed item response as a function of a respondent's latent trait and the item's property. IRT is one of the most widely utilized tools for item response analysis; however, local item and…

Applications · Statistics 2025-01-08 Ick Hoon Jin , Minjeong Jeon

Traditional methods for determining assessment item parameters, such as difficulty and discrimination, rely heavily on expensive field testing to collect student performance data for Item Response Theory (IRT) calibration. This study…

Computation and Language · Computer Science 2026-01-07 Christopher Ormerod

The proliferation of Large Language Models (LLMs) necessitates valid evaluation methods to guide downstream applications and actionable future improvements. The Item Response Theory (IRT) has recently emerged as a promising framework for…

Methodology · Statistics 2025-12-12 Zhiyu Xu , Jia Liu , Yixin Wang , Yuqi Gu

Intelligent systems that use Machine Learning classification algorithms are increasingly common in everyday society. However, many systems use black-box models that do not have characteristics that allow for self-explanation of their…

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

We illustrate a class of Item Response Theory (IRT) models for binary and ordinal polythomous items and we describe an R package for dealing with these models, which is named MultiLCIRT. The models at issue extend traditional IRT models…

Applications · Statistics 2012-10-22 Francesco Bartolucci , Silvia Bacci , Michela Gnaldi

In \textit{computer-based testing} it has become standard to collect response accuracy (RA) and response times (RTs) for each test item. IRT models are used to measure a latent variable (e.g., ability, intelligence) using the RA…

Methodology · Statistics 2021-06-21 Jean-Paul Fox , Konrad Klotzke , Ahmet Salih Simsek

Evaluating the abilities of learners is a fundamental objective in the field of education. In particular, there is an increasing need to assess higher-order abilities such as expressive skills and logical thinking. Constructed-response…

Computation and Language · Computer Science 2025-06-26 Masaki Uto , Yuma Ito

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

In this paper, we present a complete framework for quickly calibrating and administering a robust large-scale computerized adaptive test (CAT) with a small number of responses. Calibration - learning item parameters in a test - is done…

py-irt is a Python library for fitting Bayesian Item Response Theory (IRT) models. py-irt estimates latent traits of subjects and items, making it appropriate for use in IRT tasks as well as ideal-point models. py-irt is built on top of the…

Computation and Language · Computer Science 2022-11-16 John P. Lalor , Pedro Rodriguez

In certain academic systems, a student can enroll for an exam immediately after the end of the teaching period or can postpone it to any later examination session, so that the grade is missing until the exam is not attempted. We propose an…

Methodology · Statistics 2016-09-22 Silvia Bacci , Francesco Bartolucci , Leonardo Grilli , Carla Rampichini

Constructing an ensemble from a heterogeneous set of unsupervised anomaly detection methods is challenging because the class labels or the ground truth is unknown. Thus, traditional ensemble techniques that use the response variable or the…

Machine Learning · Statistics 2021-06-14 Sevvandi Kandanaarachchi

Statistical models such as those derived from Item Response Theory (IRT) enable the assessment of students on a specific subject, which can be useful for several purposes (e.g., learning path customization, drop-out prediction). However,…

Computation and Language · Computer Science 2020-05-07 Luca Benedetto , Andrea Cappelli , Roberto Turrin , Paolo Cremonesi

Item difficulty plays a crucial role in test performance, interpretability of scores, and equity for all test-takers, especially in large-scale assessments. Traditional approaches to item difficulty modeling rely on field testing and…

Computation and Language · Computer Science 2025-09-30 Sydney Peters , Nan Zhang , Hong Jiao , Ming Li , Tianyi Zhou , Robert Lissitz