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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…

机器学习 · 统计学 2025-01-08 Yoav Bergner , Peter F. Halpin , Jill-Jênn Vie

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,…

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…

计算机与社会 · 计算机科学 2026-02-03 Matias Hoyl

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…

计算机视觉与模式识别 · 计算机科学 2024-09-09 Rahul Ramachandran , Tejal Kulkarni , Charchit Sharma , Deepak Vijaykeerthy , Vineeth N Balasubramanian

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,…

计算与语言 · 计算机科学 2020-05-07 Luca Benedetto , Andrea Cappelli , Roberto Turrin , Paolo Cremonesi

Item response theory (IRT) models typically rely on a normality assumption for subject-specific latent traits, which is often unrealistic in practice. Semiparametric extensions based on Dirichlet process mixtures offer a more flexible…

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…

计算与语言 · 计算机科学 2026-01-07 Christopher Ormerod

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…

统计方法学 · 统计学 2022-04-11 Gerhard Tutz , Pascal Jordan

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…

统计方法学 · 统计学 2025-07-22 Hiroshi Tamano , Hideitsu Hino , Daichi Mochihashi

Item (question) difficulties play a crucial role in educational assessments, enabling accurate and efficient assessment of student abilities and personalization to maximize learning outcomes. Traditionally, estimating item difficulties can…

计算与语言 · 计算机科学 2025-09-19 Alexander Scarlatos , Nigel Fernandez , Christopher Ormerod , Susan Lottridge , Andrew Lan

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…

机器学习 · 计算机科学 2023-11-16 Yunsung Kim , Sreechan Sankaranarayanan , Chris Piech , Candace Thille

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…

物理教育 · 物理学 2017-10-27 Colin S. Wallace , Timothy G. Chambers , Edward E. Prather

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…

统计方法学 · 统计学 2026-05-11 Jiguang Li , Robert Gibbons , Veronika Rockova

This paper aims to present an online placement test. It is based on the Item Response Theory to provide relevant estimates of learner competences. The proposed test is the entry point of our e-Learning system. It gathers the learner…

计算机与社会 · 计算机科学 2014-11-20 Farid Merrouch , Meriem Hnida , Mohammed Khalidi Idrissi , Samir Bennani

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,…

统计方法学 · 统计学 2025-05-06 Gabriel Wallin , Yunxiao Chen , Yi-Hsuan Lee , Xiaoou Li

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…

应用统计 · 统计学 2024-05-29 Marco Morucci , Margaret Foster , Kaitlyn Webster , So Jin Lee , David Siegel

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…

统计方法学 · 统计学 2019-04-09 Jinxin Guo

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…

机器学习 · 统计学 2015-01-14 Ryan Ning , Andrew E. Waters , Christoph Studer , Richard G. Baraniuk

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…

机器学习 · 统计学 2023-02-09 Adrienne Kline , Yuan Luo

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…

计算与语言 · 计算机科学 2026-02-03 Xinyuan Li , Murong Xu , Wenbiao Tao , Hanlun Zhu , Yike Zhao , Jipeng Zhang , Yunshi Lan