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High-dimensional data are crucial in biomedical research. Integrating such data from multiple studies is a critical process that relies on the choice of advanced statistical models, enhancing statistical power, reproducibility, and…

Applications · Statistics 2025-06-24 Mavis Liang , Blake Hansen , Alejandra Avalos-Pacheco , Roberta De Vito

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

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

Item response theory (IRT) models have been widely used in educational measurement testing. When there are repeated observations available for individuals through time, a dynamic structure for the latent trait of ability needs to be…

Applications · Statistics 2013-04-17 Xiaojing Wang , James O. Berger , Donald S. Burdick

Research on the test structure of the Force Concept Inventory (FCI) has largely been performed with exploratory methods such as factor analysis and cluster analysis. Multi-Dimensional Item Response Theory (MIRT) provides an alternative to…

Physics Education · Physics 2018-06-20 John Stewart , Cabot Zabriskie , Seth DeVore , Gay Stewart

Item Response Theory (IRT) has been widely used in educational psychometrics to assess student ability, as well as the difficulty and discrimination of test questions. In this context, discrimination specifically refers to how effectively a…

Computers and Society · Computer Science 2024-11-06 Ziqi Xu , Sevvandi Kandanaarachchi , Cheng Soon Ong , Eirini Ntoutsi

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

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

Evaluating large language models (LLMs) typically requires thousands of benchmark items, making the process expensive, slow, and increasingly impractical at scale. Existing evaluation protocols rely on average accuracy over fixed item sets,…

Computation and Language · Computer Science 2026-02-03 Peiyu Li , Xiuxiu Tang , Si Chen , Ying Cheng , Ronald Metoyer , Ting Hua , Nitesh V. Chawla

Item response theory (IRT) is a popular modeling paradigm for measuring subject latent traits and item properties according to discrete responses in tests or questionnaires. There are very limited discussions on heterogeneity pattern…

Applications · Statistics 2020-06-02 Guanyu Hu , Zhihua Ma , Insu Paek

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

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

Modeling item parameters as a function of item characteristics has a long history but has generally focused on models for item location. Explanatory item response models for item discrimination are available but rarely used. In this study,…

Methodology · Statistics 2025-06-24 Joshua B. Gilbert , Lijin Zhang , Esther Ulitzsch , Benjamin W. Domingue

The evaluation of large language models (LLMs) via benchmarks is widespread, yet inconsistencies between different leaderboards and poor separability among top models raise concerns about their ability to accurately reflect authentic model…

Computation and Language · Computer Science 2026-01-19 Hongli Zhou , Hui Huang , Ziqing Zhao , Lvyuan Han , Huicheng Wang , Kehai Chen , Muyun Yang , Wei Bao , Jian Dong , Bing Xu , Conghui Zhu , Hailong Cao , Tiejun Zhao

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

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

Evaluation of NLP methods requires testing against a previously vetted gold-standard test set and reporting standard metrics (accuracy/precision/recall/F1). The current assumption is that all items in a given test set are equal with regards…

Computation and Language · Computer Science 2016-09-26 John P. Lalor , Hao Wu , Hong Yu

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

Traditional Item Response Theory models assume the distribution of the abilities of the population in study to be Gaussian. However, this may not always be a reasonable assumption, which motivates the development of more general models.…

Applications · Statistics 2017-12-20 Flávio B. Gonçalves , Bárbara C. C. Dias , Tufi M. Soares

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