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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

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…

Computers and Society · Computer Science 2026-02-03 Matias Hoyl

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

Item Response Theory (IRT) is a ubiquitous model for understanding humans based on their responses to questions, used in fields as diverse as education, medicine and psychology. Large modern datasets offer opportunities to capture more…

Machine Learning · Computer Science 2020-03-17 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

Item Response Theory (IRT) has been widely used in educational psychometrics to assess student ability, as well as the difficulty and discrimination of test questions. In this context, discrimination specifically refers to how effectively a…

Computers and Society · Computer Science 2024-11-06 Ziqi Xu , Sevvandi Kandanaarachchi , Cheng Soon Ong , Eirini Ntoutsi

The item response model in latent space (LSIRM; Jeon et al., 2021) uncovers unobserved interactions between respondents and items in the item response data by embedding both in a shared latent metric space. The R package lsirm12pl…

Methodology · Statistics 2025-03-11 Dongyoung Go , Gwanghee Kim , Jina Park , Junyong Park , Minjeong Jeon , Ick Hoon Jin

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,…

Social scientists are often interested in using ordinal indicators to estimate latent traits that change over time. Frequently, this is done with item response theoretic (IRT) models that describe the relationship between those latent…

Methodology · Statistics 2025-04-04 Yehu Chen , Jacob Montgomery , Roman Garnett

Effective educational measurement relies heavily on the curation of well-designed item pools (i.e., possessing the right psychometric properties). However, item calibration is time-consuming and costly, requiring a sufficient number of…

Computers and Society · Computer Science 2024-07-16 Yunting Liu , Shreya Bhandari , Zachary A. Pardos

The testlet model is a popular statistical approach widely used by researchers and practitioners to address local item dependence (LID), a violation of the local independence assumption in item response theory (IRT) which can cause various…

Applications · Statistics 2018-06-27 Luo Yong

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

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

Item response theory (IRT) is a popular modeling paradigm for measuring subject latent traits and item properties according to discrete responses in tests or questionnaires. There are very limited discussions on heterogeneity pattern…

Applications · Statistics 2020-06-02 Guanyu Hu , Zhihua Ma , Insu Paek

Multivariate Item Response Theory (MIRT) is sought-after widely by applied researchers looking for interpretable (sparse) explanations underlying response patterns in questionnaire data. There is, however, an unmet demand for such sparsity…

Methodology · Statistics 2025-03-10 Jiguang Li , Robert Gibbons , Veronika Rockova

The aim of this study is to investigate the effectiveness of ChatGPT 3.5 in developing algorithms for data generation within the framework of Item Response Theory (IRT) using the R programming language. In this context, validity…

Computers and Society · Computer Science 2024-07-08 Hatice Gurdil , Yesim Beril Soguksu , Salih Salihoglu , Fatma Coskun

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

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

In this article, we propose a novel probabilistic framework to improve the accuracy of a weighted majority voting algorithm. In order to assign higher weights to the classifiers which can correctly classify hard-to-classify instances, we…

Machine Learning · Statistics 2019-11-13 Ziheng Chen , Hongshik Ahn

Item Response Theory (IRT) models have received growing interest in health science for analyzing latent constructs such as depression, anxiety, quality of life, or cognitive functioning from the information provided by each individual's…

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…

Machine Learning · Statistics 2025-01-08 Yoav Bergner , Peter F. Halpin , Jill-Jênn Vie