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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

The increased use of multiple-choice (MC) questions in introductory-level physics final exams is largely hindered by reservations about its ability to test the broad cognitive domain that is routinely accessed with typical…

Physics Education · Physics 2015-06-16 Aaron D. Slepkov

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,…

Survey instruments and assessments are frequently used in many domains of social science. When the constructs that these assessments try to measure become multifaceted, multidimensional item response theory (MIRT) provides a unified…

Methodology · Statistics 2025-01-08 Chenchen Ma , Jing Ouyang , Chun Wang , Gongjun Xu

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

Scene-aware Complementary Item Retrieval (CIR) is a challenging task which requires to generate a set of compatible items across domains. Due to the subjectivity, it is difficult to set up a rigorous standard for both data collection and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Xijun Wang , Anqi Liang , Junbang Liang , Ming Lin , Yu Lou , Shan Yang

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

Evaluating large language models (LLMs) on comprehensive benchmarks is a cornerstone of their development, yet it's often computationally and financially prohibitive. While Item Response Theory (IRT) offers a promising path toward…

Artificial Intelligence · Computer Science 2025-10-07 Lele Liao , Qile Zhang , Ruofan Wu , Guanhua Fang

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

This paper proposes a method for assessing differential item functioning (DIF) in item response theory (IRT) models. The method does not require pre-specification of anchor items, which is its main virtue. It is developed in two main steps,…

Methodology · Statistics 2025-01-08 Peter F. Halpin

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 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

Ishimoto, Davenport, and Wittmann have previously reported analyses of data from student responses to the Force and Motion Conceptual Evaluation (FMCE), in which they used item response curves (IRCs) to make claims about American and…

Physics Education · Physics 2021-10-04 Connor J. Richardson , Trevor I. Smith , Paul J. Walter

High-quality test items are essential for educational assessments, particularly within Item Response Theory (IRT). Traditional validation methods rely on resource-intensive pilot testing to estimate item difficulty and discrimination. More…

Computation and Language · Computer Science 2025-08-08 Robin Schmucker , Steven Moore

The Force Concept Inventory (FCI) has been widely used to assess student understanding of introductory mechanics concepts by educators and physics education researchers. Many of the items on the FCI have strong distractor choices…

Physics Education · Physics 2020-07-01 Alexandru Maries , Chandralekha Singh

Investigating student learning and understanding of conceptual physics is a primary research area within Physics Education Research (PER). Multiple quantitative methods have been employed to analyze commonly used mechanics conceptual…

Physics Education · Physics 2020-04-29 James Wells , Rachel Henderson , Adrienne Traxler , Paul Miller , John Stewart

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

In this paper, we present a complete framework for quickly calibrating and administering a robust large-scale computerized adaptive test (CAT) with a small number of responses. Calibration - learning item parameters in a test - is done…

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…

Computation and Language · Computer Science 2026-02-03 Xinyuan Li , Murong Xu , Wenbiao Tao , Hanlun Zhu , Yike Zhao , Jipeng Zhang , Yunshi Lan

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