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The generalized partial credit model (GPCM) is a popular polytomous IRT model that has been widely used in large-scale educational surveys and health care services. Same as other IRT models, GPCM can be estimated via marginal maximum…

Applications · Statistics 2018-09-21 Yong Luo

Item response theory (IRT) models explain an observed item response as a function of a respondent's latent trait and the item's property. IRT is one of the most widely utilized tools for item response analysis; however, local item and…

Applications · Statistics 2025-01-08 Ick Hoon Jin , Minjeong Jeon

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…

Computation and Language · Computer Science 2026-01-07 Christopher Ormerod

Accuracy-based evaluation of Large Language Models (LLMs) measures benchmark-specific performance rather than underlying medical competency: it treats all questions as equally informative, conflates model ability with item characteristics,…

Computation and Language · Computer Science 2026-04-07 Zhimeng Luo , Lixin Wu , Adam Frisch , Daqing He

Marginal maximum likelihood estimation (MMLE) in item response theory (IRT) is highly sensitive to aberrant responses, such as careless answering and random guessing, which can reduce estimation accuracy. To address this issue, this study…

Methodology · Statistics 2025-02-18 Yuki Itaya , Kenichi Hayashi

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

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

The rapid proliferation of large language models (LLMs) in healthcare creates an urgent need for scalable and psychometrically sound evaluation methods. Conventional static benchmarks are costly to administer repeatedly, vulnerable to data…

Computation and Language · Computer Science 2026-03-26 Tianpeng Zheng , Zhehan Jiang , Jiayi Liu , Shicong Feng

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

It is a well-known issue that in Item Response Theory models there is no closed-form for the maximum likelihood estimators of the item parameters. Parameter estimation is therefore typically achieved by means of numerical methods like…

Methodology · Statistics 2024-11-28 Stefano Noventa , Roberto Faleh , Augustin Kelava

Item parameter estimation in pharmacometric item response theory (IRT) models is predominantly performed using the Laplace estimation algorithm as implemented in NONMEM. In psychometrics a wide range of different software tools, including…

Methodology · Statistics 2025-03-18 Leticia Arrington , Sebastian Ueckert

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

Joint maximum likelihood (JML) estimation is one of the earliest approaches to fitting item response theory (IRT) models. This procedure treats both the item and person parameters as unknown but fixed model parameters and estimates them…

Methodology · Statistics 2019-06-17 Yunxiao Chen , Xiaoou Li , Siliang Zhang

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

Accurate estimates of item difficulty are essential for valid assessment and effective adaptive learning. However, for newly created tasks, response data are typically unavailable. Pretesting and expert judgement can be costly and slow,…

Item response theory (IRT) has become one of the most popular statistical models for psychometrics, a field of study concerned with the theory and techniques of psychological measurement. The IRT models are latent factor models tailored to…

Methodology · Statistics 2021-08-20 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

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

Psychological assessments commonly rely on rating-scale items, which require respondents to condense complex experiences into predefined categories. Although rich, unstructured text is often captured alongside these scales, it rarely…

Computation and Language · Computer Science 2026-03-20 Joe Watson , Ivan O'Connor , Chia-Wen Chen , Luning Sun , Fang Luo , David Stillwell

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

Personality traits are latent variables, and as such, are impossible to measure without the use of an assessment. Responses on the assessments can be influenced by both transient (state-related) error and measurement error, obscuring the…

Applications · Statistics 2017-06-02 Amy E. Nussbaum , Cornelis J. Potgieter , Michael Chmielewski
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