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We propose a novel nonparametric Bayesian IRT model in this paper by introducing the clustering effect at question level and further assume heterogeneity at examinee level under each question cluster, characterized by the mixture of…

Methodology · Statistics 2022-11-23 Tianyu Pan , Weining Shen , Clintin P. Davis-Stober , Guanyu Hu

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…

In this paper, we apply Item Response Theory, popular in education and political science research, to the analysis of argument persuasiveness in language. We empirically evaluate the model's performance on three datasets, including a novel…

Computation and Language · Computer Science 2022-04-26 Anastassia Kornilova , Daniel Argyle , Vladimir Eidelman

Incorporating Item Response Theory (IRT) into NLP tasks can provide valuable information about model performance and behavior. Traditionally, IRT models are learned using human response pattern (RP) data, presenting a significant bottleneck…

Computation and Language · Computer Science 2019-09-02 John P. Lalor , Hao Wu , Hong Yu

Multidimensional item response theory (MIRT) models have generated increasing interest in the psychometrics literature. Efficient approaches for estimating MIRT models with dichotomous responses have been developed, but constructing an…

Methodology · Statistics 2025-01-08 Chengyu Cui , Chun Wang , Gongjun Xu

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

Variable selection is an important statistical problem. This problem becomes more challenging when the candidate predictors are of mixed type (e.g. continuous and binary) and impact the response variable in nonlinear and/or non-additive…

Methodology · Statistics 2021-12-30 Chuji Luo , Michael J. Daniels

Experimental evaluation is crucial in AI research, especially for assessing algorithms across diverse tasks. Many studies often evaluate a limited set of algorithms, failing to fully understand their strengths and weaknesses within a…

Machine Learning · Computer Science 2025-09-04 Brodie Oldfield , Sevvandi Kandanaarachchi , Ziqi Xu , Mario Andrés Muñoz

Evaluation of large language models (LLMs) is increasingly critical, yet standard benchmarking methods rely on average accuracy, overlooking both the inherent stochasticity of LLM outputs and the heterogeneity of benchmark items. Item…

Machine Learning · Statistics 2026-05-11 Xinhao Qu , Qiang Heng , Hao Zeng , Xiaoqian Liu

Evaluating the abilities of learners is a fundamental objective in the field of education. In particular, there is an increasing need to assess higher-order abilities such as expressive skills and logical thinking. Constructed-response…

Computation and Language · Computer Science 2025-06-26 Masaki Uto , Yuma Ito

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

In this paper we follow our previous research in the area of Computerized Adaptive Testing (CAT). We present three different methods for CAT. One of them, the item response theory, is a well established method, while the other two, Bayesian…

Computers and Society · Computer Science 2017-03-30 Martin Plajner

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 (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…

Computation and Language · Computer Science 2025-09-19 Alexander Scarlatos , Nigel Fernandez , Christopher Ormerod , Susan Lottridge , Andrew Lan

We develop stochastic variational inference, a scalable algorithm for approximating posterior distributions. We develop this technique for a large class of probabilistic models and we demonstrate it with two probabilistic topic models,…

Machine Learning · Statistics 2013-04-24 Matt Hoffman , David M. Blei , Chong Wang , John Paisley

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,…

Computation and Language · Computer Science 2020-05-07 Luca Benedetto , Andrea Cappelli , Roberto Turrin , Paolo Cremonesi

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

Information Retrieval (IR) is concerned with the identification of documents in a collection that are relevant to a given information need, usually represented as a query containing terms or keywords, which are supposed to be a good…

Information Retrieval · Computer Science 2013-02-01 Luis M. de Campos , Juan M. Fernandez-Luna , Juan F. Huete

Ordinal user-provided ratings across multiple items are frequently encountered in both scientific and commercial applications. Whilst recommender systems are known to do well on these type of data from a predictive point of view, their…

Methodology · Statistics 2025-03-05 Sjoerd Hermes

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