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Classic item response models assume that all items with the same difficulty have the same response probability among all respondents with the same ability. These assumptions, however, may very well be violated in practice, and it is not…

Methodology · Statistics 2021-08-23 Minjeong Jeon , Ick Hoon Jin , Michael Schweinberger , Samuel Baugh

Improving our understanding of how humans perceive AI teammates is an important foundation for our general understanding of human-AI teams. Extending relevant work from cognitive science, we propose a framework based on item response theory…

Machine Learning · Computer Science 2023-05-17 Markelle Kelly , Aakriti Kumar , Padhraic Smyth , Mark Steyvers

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

Although fundamental to the advancement of Machine Learning, the classic evaluation metrics extracted from the confusion matrix, such as precision and F1, are limited. Such metrics only offer a quantitative view of the models' performance,…

The Rasch model is one of the most fundamental models in \emph{item response theory} and has wide-ranging applications from education testing to recommendation systems. In a universe with $n$ users and $m$ items, the Rasch model assumes…

Machine Learning · Computer Science 2023-10-31 Duc Nguyen , Anderson Zhang

Recent years have witnessed a surge in the number of large language models (LLMs), yet efficiently managing and utilizing these vast resources remains a significant challenge. In this work, we explore how to learn compact representations of…

Artificial Intelligence · Computer Science 2025-10-02 Jianhao Chen , Chenxu Wang , Gengrui Zhang , Peng Ye , Lei Bai , Wei Hu , Yuzhong Qu , Shuyue Hu

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

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

Most datasets suffer from partial or complete missing values, which has downstream limitations on the available models on which to test the data and on any statistical inferences that can be made from the data. Several imputation techniques…

Machine Learning · Statistics 2023-02-09 Adrienne Kline , Yuan Luo

Item response theory (IRT) models are a class of statistical models used to describe the response behaviors of individuals to a set of items having a certain number of options. They are adopted by researchers in social science, particularly…

Computation · Statistics 2014-04-16 Angelo Mazza , Antonio Punzo , Brian McGuire

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

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

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

School bullying victimization is a variable that cannot be measured directly. Taking into account that this variable has a lower bound, given by the absence of bullying victimization, this paper proposes IRT logistic models, where the…

Applications · Statistics 2019-04-03 Edilberto Cepeda-Cuervo

Networks are models representing relationships between entities. Often these relationships are explicitly given, or we must learn a representation which generalizes and predicts observed behavior in underlying individual data (e.g.…

Social and Information Networks · Computer Science 2017-09-19 Ivan Brugere , Chris Kanich , Tanya Y. Berger-Wolf

Likert-style surveys are a widely used research instrument to assess respondents' preferences, beliefs, or experiences. In this paper, we propose and demonstrate how network analysis (NA) can be employed to model and evaluate the…

Physics Education · Physics 2022-09-08 Robert P. Dalka , Diana Sachmpazidi , Charles Henderson , Justyna P. Zwolak

As observations and student models become complex, educational assessments that exploit advances in technology and cognitive psychology can outstrip familiar testing models and analytic methods. Within the Portal conceptual framework for…

Artificial Intelligence · Computer Science 2013-01-30 Robert Mislevy , Russell Almond , Duanli Yan , Linda S. Steinberg

Robust validation of Machine Learning (ML) models is essential, but traditional data partitioning approaches often ignore the intrinsic quality of each instance. This study proposes the use of Item Response Theory (IRT) parameters to…

Machine Learning · Computer Science 2025-08-15 Lucas Cardoso , Vitor Santos , José Ribeiro Filho , Ricardo Prudêncio , Regiane Kawasaki , Ronnie Alves

We develop T-SKIRT: a temporal, structured-knowledge, IRT-based method for predicting student responses online. By explicitly accounting for student learning and employing a structured, multidimensional representation of student…

Artificial Intelligence · Computer Science 2017-02-15 Chaitanya Ekanadham , Yan Karklin

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