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Robust validation of Machine Learning (ML) models is essential, but traditional data partitioning approaches often ignore the intrinsic quality of each instance. This study proposes the use of Item Response Theory (IRT) parameters to…

Machine Learning · Computer Science 2025-08-15 Lucas Cardoso , Vitor Santos , José Ribeiro Filho , Ricardo Prudêncio , Regiane Kawasaki , Ronnie Alves

Latent Markov (LM) models represent an important class of models for the analysis of longitudinal data (Bartolucci et. al., 2013), especially when response variables are categorical. These models have a great potential of application for…

Computation · Statistics 2015-01-20 Francesco Bartolucci , Alessio Farcomeni , Silvia Pandolfi , Fulvia Pennoni

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

We introduce an Item Response Theory (IRT)-based framework to detect and quantify socioeconomic bias in large language models (LLMs) without relying on subjective human judgments. Unlike traditional methods, IRT accounts for item…

Artificial Intelligence · Computer Science 2025-03-18 Jasmin Wachter , Michael Radloff , Maja Smolej , Katharina Kinder-Kurlanda

Item response theory (IRT) models typically rely on a normality assumption for subject-specific latent traits, which is often unrealistic in practice. Semiparametric extensions based on Dirichlet process mixtures offer a more flexible…

We introduce the R package ContaminatedMixt, conceived to disseminate the use of mixtures of multivariate contaminated normal distributions as a tool for robust clustering and classification under the common assumption of elliptically…

Computation · Statistics 2016-06-14 Antonio Punzo , Angelo Mazza , Paul D. McNicholas

We propose a dyadic Item Response Theory (dIRT) model for measuring interactions of pairs of individuals when the responses to items represent the actions (or behaviors, perceptions, etc.) of each individual (actor) made within the context…

Applications · Statistics 2025-01-08 Brian Gin , Nicholas Sim , Anders Skrondal , Sophia Rabe-Hesketh

The matched case-control design, up until recently mostly pertinent to epidemiological studies, is becoming customary in biomedical applications as well. For instance, in omics studies, it is quite common to compare cancer and healthy…

Methodology · Statistics 2024-02-05 Vera Djordjilović , Erica Ponzi , Therese Haugdahl Nøst , Magne Thoresen

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 a well known method for assessing responses from humans in education and psychology. In education, IRT is used to infer student abilities and characteristics of test items from student responses. Interactions…

Artificial Intelligence · Computer Science 2023-07-20 Antti Keurulainen , Isak Westerlund , Oskar Keurulainen , Andrew Howes

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…

Methodology · Statistics 2021-06-25 Gerhard Tutz

Evaluating large language models (LLMs) on comprehensive benchmarks is a cornerstone of their development, yet it's often computationally and financially prohibitive. While Item Response Theory (IRT) offers a promising path toward…

Artificial Intelligence · Computer Science 2025-10-07 Lele Liao , Qile Zhang , Ruofan Wu , Guanhua Fang

The R package merlin performs flexible joint modelling of hierarchical multi-outcome data. Increasingly, multiple longitudinal biomarker measurements, possibly censored time-to-event outcomes and baseline characteristics are available.…

Computation · Statistics 2020-07-29 Emma C. Martin , Alessandro Gasparini , Michael J. Crowther

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

This paper describes and illustrates the functionality of the baker R package. The package estimates a suite of nested partially-latent class models (NPLCM) for multivariate binary responses that are observed under a case-control design.…

Methodology · Statistics 2022-02-25 Irena B Chen , Qiyuan Shi , Scott L Zeger , Zhenke Wu

A common framework is provided that comprises classical ordinal item response models as the cumulative, sequential and adjacent categories models as well as nominal response models and item response tree models. The taxonomy is based on the…

Methodology · Statistics 2020-10-06 Gerhard Tutz

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

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

We propose a method for obtaining maximum likelihood estimates in a model with continuous and binary outcomes. Combinations of left and right censored observations are also naturally modeled in this framework. The model and estimation…

Methodology · Statistics 2015-07-07 Klaus K. Holst , Esben Budtz-Jørgensen , Gitte Moos Knudsen

py-irt is a Python library for fitting Bayesian Item Response Theory (IRT) models. py-irt estimates latent traits of subjects and items, making it appropriate for use in IRT tasks as well as ideal-point models. py-irt is built on top of the…

Computation and Language · Computer Science 2022-11-16 John P. Lalor , Pedro Rodriguez