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Item response theory (IRT) has become one of the most popular statistical models for psychometrics, a field of study concerned with the theory and techniques of psychological measurement. The IRT models are latent factor models tailored to…

Methodology · Statistics 2021-08-20 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

This paper introduces a flexible Bayesian nonparametric Item Response Theory (IRT) model, which applies to dichotomous or polytomous item responses, and which can apply to either unidimensional or multidimensional scaling. This is an…

Methodology · Statistics 2015-02-12 George Karabatsos

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) models aim to assess latent abilities of $n$ examinees along with latent difficulty characteristics of $m$ test items from categorical data that indicates the quality of their corresponding answers. Classical…

Machine Learning · Computer Science 2024-08-16 Susanne Frick , Amer Krivošija , Alexander Munteanu

Item Response Theory (IRT) aims to assess latent abilities of respondents based on the correctness of their answers in aptitude test items with different difficulty levels. In this paper, we propose the $\beta^3$-IRT model, which models…

Machine Learning · Statistics 2019-06-04 Yu Chen , Telmo Silva Filho , Ricardo B. C. Prudêncio , Tom Diethe , Peter Flach

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 (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

Cognitive diagnosis is a fundamental and crucial task in many educational applications, e.g., computer adaptive test and cognitive assignments. Item Response Theory (IRT) is a classical cognitive diagnosis method which can provide…

Artificial Intelligence · Computer Science 2019-12-03 Song Cheng , Qi Liu

Item Response Theory (IRT) is a ubiquitous model for understanding human behaviors and attitudes based on their responses to questions. Large modern datasets offer opportunities to capture more nuances in human behavior, potentially…

Machine Learning · Computer Science 2022-07-29 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

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

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

Measurement bridges theory and empirics. Without measures that appropriately capture theoretical concepts, description will fail to represent reality and true causal inference will be impossible. Yet, the social sciences traffic in complex…

Applications · Statistics 2024-05-29 Marco Morucci , Margaret Foster , Kaitlyn Webster , So Jin Lee , David Siegel

Assessment of proficiency of the learner is an essential part of Intelligent Tutoring Systems (ITS). We use Item Response Theory (IRT) in computer-aided language learning for assessment of student ability in two contexts: in test sessions,…

Artificial Intelligence · Computer Science 2024-09-25 Jue Hou , Anisia Katinskaia , Anh-Duc Vu , Roman Yangarber

Item response theory (IRT) is a class of interpretable factor models that are widely used in computerized adaptive tests (CATs), such as language proficiency tests. Traditionally, these are fit using parametric mixed effects models on the…

Machine Learning · Computer Science 2024-09-16 James Sharpnack , Phoebe Mulcaire , Klinton Bicknell , Geoff LaFlair , Kevin Yancey

Educational assessments are valuable tools for measuring student knowledge and skills, but their validity can be compromised when test takers exhibit changes in response behavior due to factors such as time pressure. To address this issue,…

Methodology · Statistics 2025-05-06 Gabriel Wallin , Yunxiao Chen , Yi-Hsuan Lee , Xiaoou Li

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

We propose a dyadic Item Response Theory (dIRT) model for measuring interactions of pairs of individuals when the responses to items represent the actions (or behaviors, perceptions, etc.) of each individual (actor) made within the context…

Applications · Statistics 2025-01-08 Brian Gin , Nicholas Sim , Anders Skrondal , Sophia Rabe-Hesketh

Item Response Theory (IRT) models have received growing interest in health science for analyzing latent constructs such as depression, anxiety, quality of life, or cognitive functioning from the information provided by each individual's…

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

Most Item Response Theory (IRT) models for dichotomous responses are based on probit or logit link functions which assume a symmetric relationship between the probability of a correct response and the latent traits of individuals submitted…

Methodology · Statistics 2022-05-24 Flávio B. Gonçalves , Juliane Venturelli , Rosangela H. Loschi
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