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相关论文: A Spectral Approach to Item Response Theory

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Item response theory (IRT) is the study of how people make probabilistic decisions, with diverse applications in education testing, recommendation systems, among others. The Rasch model of binary response data, one of the most fundamental…

机器学习 · 计算机科学 2023-11-14 Duc Nguyen , Anderson Y. Zhang

The Rasch model has been widely used to analyse item response data in psychometrics and educational assessments. When the number of individuals and items are large, it may be impractical to provide all possible responses. It is desirable to…

统计理论 · 数学 2025-01-15 Pai Peng , Lianqiang Qu , Qiuping Wang , Shufang Wang , Ting Yan

The Rasch model, a classical model in the item response theory, is widely used in psychometrics to model the relationship between individuals' latent traits and their binary responses to assessments or questionnaires. In this paper, we…

机器学习 · 统计学 2025-10-31 Yuepeng Yang , Cong Ma

The Rasch model is widely used for item response analysis in applications ranging from recommender systems to psychology, education, and finance. While a number of estimators have been proposed for the Rasch model over the last decades, the…

机器学习 · 统计学 2018-06-12 Andrew S. Lan , Mung Chiang , Christoph Studer

A comprehensive class of models is proposed that can be used for continuous, binary, ordered categorical and count type responses. The difficulty of items is described by difficulty functions, which replace the item difficulty parameters…

统计方法学 · 统计学 2021-06-25 Gerhard Tutz

Many statisticians regularly teach large lecture courses on statistics, probability, or mathematics for students from other fields such as business and economics, social sciences and psychology, etc. The corresponding exams often use a…

应用统计 · 统计学 2025-10-06 Achim Zeileis

This study discusses an alternative tool for modeling student assessment data. The model constructs networks from a matrix item responses and attempts to represent these data in low dimensional Euclidean space. This procedure has advantages…

应用统计 · 统计学 2020-03-18 Alex Brodersen , Ick Hoon Jin , Ying Cheng , Minjeong Jeon

A strong tool for the selection of items that share a common trait from a set of given items is proposed. The selection method is based on marginal estimates and exploits that the estimates of the standard deviation of the mixing…

统计方法学 · 统计学 2023-09-04 Gerhard Tutz

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…

机器学习 · 计算机科学 2020-03-17 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

Item Response Theory (IRT) aims to assess latent abilities of respondents based on the correctness of their answers in aptitude test items with different difficulty levels. In this paper, we propose the $\beta^3$-IRT model, which models…

机器学习 · 统计学 2019-06-04 Yu Chen , Telmo Silva Filho , Ricardo B. C. Prudêncio , Tom Diethe , Peter Flach

This paper explores the suitability of using automatically discovered topics from MOOC discussion forums for modelling students' academic abilities. The Rasch model from psychometrics is a popular generative probabilistic model that relates…

机器学习 · 计算机科学 2017-03-21 Jiazhen He , Benjamin I. P. Rubinstein , James Bailey , Rui Zhang , Sandra Milligan

Item Response Theory (IRT) is a ubiquitous model for understanding human behaviors and attitudes based on their responses to questions. Large modern datasets offer opportunities to capture more nuances in human behavior, potentially…

机器学习 · 计算机科学 2022-07-29 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

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…

统计方法学 · 统计学 2021-08-20 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

Item response theory aims to estimate respondent's latent skills from their responses in tests composed of items with different levels of difficulty. Several models of item response theory have been proposed for different types of tasks,…

Item Response Theory (IRT) is widely applied in the human sciences to model persons' responses on a set of items measuring one or more latent constructs. While several R packages have been developed that implement IRT models, they tend to…

统计计算 · 统计学 2020-02-04 Paul-Christian Bürkner

Item response theory (IRT) models for categorical response data are widely used in the analysis of educational data, computerized adaptive testing, and psychological surveys. However, most IRT models rely on both the assumption that…

机器学习 · 统计学 2015-01-14 Ryan Ning , Andrew E. Waters , Christoph Studer , Richard G. Baraniuk

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…

应用统计 · 统计学 2020-06-02 Guanyu Hu , Zhihua Ma , Insu Paek

Item Response Theory (IRT) models aim to assess latent abilities of $n$ examinees along with latent difficulty characteristics of $m$ test items from categorical data that indicates the quality of their corresponding answers. Classical…

机器学习 · 计算机科学 2024-08-16 Susanne Frick , Amer Krivošija , Alexander Munteanu

A new method for the identification of differential item functioning (DIF) by using recursive partitioning techniques is proposed. We assume an extension of the Rasch model that allows for DIF being induced by an arbitrary number of…

统计方法学 · 统计学 2015-02-17 Gerhard Tutz , Moritz Berger

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…

统计理论 · 数学 2009-06-11 Hua-Hua Chang , Zhiliang Ying
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