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Measurement non-invariance arises when the psychometric properties of a scale differ across subgroups, undermining the validity of group comparisons. At the item level, such non-invariance manifests as differential item functioning (DIF),…

Methodology · Statistics 2026-01-27 Gabriel Wallin , Qi Huang

Item response theory (IRT) is a non-linear generative probabilistic paradigm for using exams to identify, quantify, and compare latent traits of individuals, relative to their peers, within a population of interest. In pre-existing…

Machine Learning · Computer Science 2019-12-06 Joshua C. Chang , Shashaank Vattikuti , Carson C. Chow

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

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

Computerized adaptive testing is becoming increasingly popular due to advancement of modern computer technology. It differs from the conventional standardized testing in that the selection of test items is tailored to individual examinee's…

Statistics Theory · Mathematics 2009-06-11 Hua-Hua Chang , Zhiliang Ying

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 difficulty plays a crucial role in adaptive testing. However, few works have focused on generating questions of varying difficulty levels, especially for multiple-choice (MC) cloze tests. We propose training pre-trained language models…

Computation and Language · Computer Science 2024-03-05 Jingshen Zhang , Jiajun Xie , Xinying Qiu

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

We consider the problem of adaptive inference on a regression function at a point under a multivariate nonparametric regression setting. The regression function belongs to a H\"older class and is assumed to be monotone with respect to some…

Statistics Theory · Mathematics 2020-12-01 Koohyun Kwon , Soonwoo Kwon

It is widely believed that a joint factor analysis of item responses and response time (RT) may yield more precise ability scores that are conventionally predicted from responses only. For this purpose, a simple-structure factor model is…

Applications · Statistics 2025-01-01 Yang Liu , Weimeng Wang

Analyses of heterogeneous treatment effects (HTE) are common in applied causal inference research. However, when outcomes are latent variables assessed via psychometric instruments such as educational tests, standard methods ignore the…

The study of provable adversarial robustness has mostly been limited to classification tasks and models with one-dimensional real-valued outputs. We extend the scope of certifiable robustness to problems with more general and structured…

Machine Learning · Computer Science 2022-01-13 Aounon Kumar , Tom Goldstein

The construction and theoretical analysis of the most popular universally consistent nonparametric density estimators hinge on one functional property: smoothness. In this paper we investigate the theoretical implications of incorporating a…

Statistics Theory · Mathematics 2022-04-05 Robert A. Vandermeulen , Antoine Ledent

Click-through rate (CTR) prediction, which models behavior sequence and non-sequential features (e.g., user/item profiles or cross features) to infer user interest, underpins industrial recommender systems. However, most methods face three…

Information Retrieval · Computer Science 2025-10-24 Shuwei Chen , Jiajun Cui , Zhengqi Xu , Fan Zhang , Jiangke Fan , Teng Zhang , Xingxing Wang

Large language models (LLMs) have demonstrated exceptional performance across a wide range of natural language tasks. However, selecting the optimal LLM to respond to a user query often necessitates a delicate balance between performance…

Artificial Intelligence · Computer Science 2025-06-24 Wei Song , Zhenya Huang , Cheng Cheng , Weibo Gao , Bihan Xu , GuanHao Zhao , Fei Wang , Runze Wu

Differential item functioning (DIF) arises alongside latent population heterogeneity in many applications, and both must be accounted for when assessing measurement invariance. In many practical settings, however, the comparison groups are…

Methodology · Statistics 2026-05-08 Gabriel Wallin , Qi Huang

Doubly robust estimators with cross-fitting have gained popularity in causal inference due to their favorable structure-agnostic error guarantees. However, when additional structure, such as H\"{o}lder smoothness, is available then more…

Statistics Theory · Mathematics 2025-05-08 Alec McClean , Sivaraman Balakrishnan , Edward H. Kennedy , Larry Wasserman

In this manuscript, we consider a finite nonparametric mixture model with non-independent marginal density functions. Dependence between the marginal densities is modeled using a copula device. Until recently, no deterministic algorithms…

Methodology · Statistics 2025-05-23 Michael Levine

Multimodal Large Language Models (MLLMs) have recently emerged as general architectures capable of reasoning over diverse modalities. Benchmarks for MLLMs should measure their ability for cross-modal integration. However, current benchmarks…

Computation and Language · Computer Science 2026-03-04 Shunki Uebayashi , Kento Masui , Kyohei Atarashi , Han Bao , Hisashi Kashima , Naoto Inoue , Mayu Otani , Koh Takeuchi

Deep learning based knowledge tracing model has been shown to outperform traditional knowledge tracing model without the need for human-engineered features, yet its parameters and representations have long been criticized for not being…

Machine Learning · Computer Science 2019-04-29 Chun-Kit Yeung