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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 widely applied in the human sciences to model persons' responses on a set of items measuring one or more latent constructs. While several R packages have been developed that implement IRT models, they tend to…

Computation · Statistics 2020-02-04 Paul-Christian Bürkner

Within the educational context, students' assessment tests are routinely validated through Item Response Theory (IRT) models which assume unidimensionality and absence of Differential Item Functioning (DIF). In this paper, we investigate if…

Applications · Statistics 2012-12-04 Michela Gnaldi , Francesco Bartolucci , Silvia Bacci

Deep learning based knowledge tracing model has been shown to outperform traditional knowledge tracing model without the need for human-engineered features, yet its parameters and representations have long been criticized for not being…

Machine Learning · Computer Science 2019-04-29 Chun-Kit Yeung

We propose a class of Item Response Theory models for items with ordinal polytomous responses, which extends an existing class of multidimensional models for dichotomously-scored items measuring more than one latent trait. In the proposed…

Methodology · Statistics 2012-01-24 Silvia Bacci , Francesco Bartolucci , Michela Gnaldi

Item Response Theory (IRT) is a popular assessment method used in education measurement, which builds on an assumption of a probability framework connecting students' innate ability and their actual performances on test items. The model…

Physics Education · Physics 2015-05-19 Jing Wang , Lei Bao

Item Response Theory (IRT) has been proposed within the field of Educational Psychometrics to assess student ability as well as test question difficulty and discrimination power. More recently, IRT has been applied to evaluate machine…

Machine Learning · Statistics 2023-08-01 Sevvandi Kandanaarachchi , Kate Smith-Miles

Experimental evaluation is crucial in AI research, especially for assessing algorithms across diverse tasks. Many studies often evaluate a limited set of algorithms, failing to fully understand their strengths and weaknesses within a…

Machine Learning · Computer Science 2025-09-04 Brodie Oldfield , Sevvandi Kandanaarachchi , Ziqi Xu , Mario Andrés Muñoz

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

Evaluating models and datasets in computer vision remains a challenging task, with most leaderboards relying solely on accuracy. While accuracy is a popular metric for model evaluation, it provides only a coarse assessment by considering a…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Rahul Ramachandran , Tejal Kulkarni , Charchit Sharma , Deepak Vijaykeerthy , Vineeth N Balasubramanian

A general framework of latent trait item response models for continuous responses is given. In contrast to classical test theory models, which traditionally distinguish between true scores and error scores, the responses are clearly linked…

Methodology · Statistics 2022-04-11 Gerhard Tutz , Pascal Jordan

Item response theory (IRT) models are widely used in psychometrics and educational measurement, being deployed in many high stakes tests such as the GRE aptitude test. IRT has largely focused on estimation of a single latent trait (e.g.…

Machine Learning · Statistics 2019-09-10 Ajay Shanker Tripathi , Benjamin W. Domingue

Conceptual tests are widely used by physics instructors to assess students' conceptual understanding and compare teaching methods. It is common to look at students' changes in their answers between a pre-test and a post-test to quantify a…

Physics Education · Physics 2015-09-15 Brahim Lamine , Jean-François Parmentier

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

Computerized adaptive tests (CATs) play a crucial role in educational assessment and diagnostic screening in behavioral health. Unlike traditional linear tests that administer a fixed set of pre-assembled items, CATs adaptively tailor the…

Methodology · Statistics 2026-05-11 Jiguang Li , Robert Gibbons , Veronika Rockova

We propose a structural equation model, which reduces to a multidimensional latent class item response theory model, for the analysis of binary item responses with non-ignorable missingness. The missingness mechanism is driven by two sets…

Methodology · Statistics 2014-10-21 Silvia Bacci , Francesco Bartolucci

We present D-BIRD, a Bayesian dynamic item response model for estimating student ability from sparse, longitudinal assessments. By decomposing ability into a cohort trend and individual trajectory, D-BIRD supports interpretable modeling of…

Applications · Statistics 2025-06-30 Hansol Lee , Jason B. Cho , David S. Matteson , Benjamin W. Domingue

Item response theory aims to estimate respondent's latent skills from their responses in tests composed of items with different levels of difficulty. Several models of item response theory have been proposed for different types of tasks,…

A comprehensive class of models is proposed that can be used for continuous, binary, ordered categorical and count type responses. The difficulty of items is described by difficulty functions, which replace the item difficulty parameters…

Methodology · Statistics 2021-06-25 Gerhard Tutz

This paper presents the first item response theory (IRT) analysis of the national data set on introductory, general education, college-level astronomy teaching using the Light and Spectroscopy Concept Inventory (LSCI). We used the…

Physics Education · Physics 2017-10-27 Colin S. Wallace , Timothy G. Chambers , Edward E. Prather