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We propose a class of Item Response Theory models for items with ordinal polytomous responses, which extends an existing class of multidimensional models for dichotomously-scored items measuring more than one latent trait. In the proposed…

统计方法学 · 统计学 2012-01-24 Silvia Bacci , Francesco Bartolucci , Michela Gnaldi

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

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…

机器学习 · 统计学 2025-01-08 Yoav Bergner , Peter F. Halpin , Jill-Jênn Vie

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…

Item response theory (IRT) models are a class of statistical models used to describe the response behaviors of individuals to a set of items having a certain number of options. They are adopted by researchers in social science, particularly…

统计计算 · 统计学 2014-04-16 Angelo Mazza , Antonio Punzo , Brian McGuire

We propose a structural equation model, which reduces to a multidimensional latent class item response theory model, for the analysis of binary item responses with non-ignorable missingness. The missingness mechanism is driven by two sets…

统计方法学 · 统计学 2014-10-21 Silvia Bacci , Francesco Bartolucci

We consider modeling, inference, and computation for analyzing multivariate binary data. We propose a new model that consists of a low dimensional latent variable component and a sparse graphical component. Our study is motivated by…

统计方法学 · 统计学 2016-06-30 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

This paper introduces a flexible Bayesian nonparametric Item Response Theory (IRT) model, which applies to dichotomous or polytomous item responses, and which can apply to either unidimensional or multidimensional scaling. This is an…

统计方法学 · 统计学 2015-02-12 George Karabatsos

Item Response Theory (IRT) is a powerful statistical approach for evaluating test items and determining test taker abilities through response analysis. An IRT model that better fits the data leads to more accurate latent trait estimates. In…

机器学习 · 统计学 2024-10-03 Joakim Wallmark , Maria Josefsson , Marie Wiberg

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

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…

统计方法学 · 统计学 2025-03-11 Dongyoung Go , Gwanghee Kim , Jina Park , Junyong Park , Minjeong Jeon , Ick Hoon Jin

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…

应用统计 · 统计学 2025-01-08 Ick Hoon Jin , Minjeong Jeon

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

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…

机器学习 · 计算机科学 2024-09-16 James Sharpnack , Phoebe Mulcaire , Klinton Bicknell , Geoff LaFlair , Kevin Yancey

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…

机器学习 · 统计学 2019-11-13 Ziheng Chen , Hongshik Ahn

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…

计算与语言 · 计算机科学 2026-03-04 Shunki Uebayashi , Kento Masui , Kyohei Atarashi , Han Bao , Hisashi Kashima , Naoto Inoue , Mayu Otani , Koh Takeuchi

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…

计算与语言 · 计算机科学 2026-01-07 Christopher Ormerod

In \textit{computer-based testing} it has become standard to collect response accuracy (RA) and response times (RTs) for each test item. IRT models are used to measure a latent variable (e.g., ability, intelligence) using the RA…

统计方法学 · 统计学 2021-06-21 Jean-Paul Fox , Konrad Klotzke , Ahmet Salih Simsek

The R package lcmm provides a series of functions to estimate statistical models based on linear mixed model theory. It includes the estimation of mixed models and latent class mixed models for Gaussian longitudinal outcomes (hlme),…

统计计算 · 统计学 2017-08-24 Cécile Proust-Lima , Viviane Philipps , Benoit Liquet

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
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