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In applications such as biomedical studies, epidemiology, and social sciences, recurrent events often co-occur with longitudinal measurements and a terminal event, such as death. Therefore, jointly modeling longitudinal measurements,…

Machine Learning · Statistics 2024-04-08 Zhiyue Zhang , Yao Zhao , Yanxun Xu

Differential item functioning (DIF) arises alongside latent population heterogeneity in many applications, and both must be accounted for when assessing measurement invariance. In many practical settings, however, the comparison groups are…

Methodology · Statistics 2026-05-08 Gabriel Wallin , Qi Huang

Assessment of proficiency of the learner is an essential part of Intelligent Tutoring Systems (ITS). We use Item Response Theory (IRT) in computer-aided language learning for assessment of student ability in two contexts: in test sessions,…

Artificial Intelligence · Computer Science 2024-09-25 Jue Hou , Anisia Katinskaia , Anh-Duc Vu , Roman Yangarber

Repeated measures of biomarkers have the potential of explaining hazards of survival outcomes. In practice, these measurements are intermittently measured and are known to be subject to substantial measurement error. Joint modelling of…

Applications · Statistics 2019-12-12 Lisa McFetridge , Ozgur Asar , Jonas Wallin

Marginal maximum likelihood estimation (MMLE) in item response theory (IRT) is highly sensitive to aberrant responses, such as careless answering and random guessing, which can reduce estimation accuracy. To address this issue, this study…

Methodology · Statistics 2025-02-18 Yuki Itaya , Kenichi Hayashi

An individualized treatment rule (ITR) tailors treatments to a patient's specific characteristics. However, randomized controlled trials (RCTs) are often underpowered to detect the treatment effect heterogeneity needed for reliable ITR…

Methodology · Statistics 2026-04-14 Yuan Bian , Donglin Zeng , Hyun-Joon Yang , Leanne M. Williams , Yuanjia Wang

Despite significant progress of generative models in the natural sciences, their controllability remains challenging. One fundamentally missing aspect of molecular or protein generative models is an inductive bias that can reflect…

Machine Learning · Computer Science 2023-08-25 Jannis Born , Matteo Manica

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…

Applications · Statistics 2025-10-06 Achim Zeileis

Item Response Theory (IRT) is a popular assessment method used in education measurement, which builds on an assumption of a probability framework connecting students' innate ability and their actual performances on test items. The model…

Physics Education · Physics 2015-05-19 Jing Wang , Lei Bao

Personality traits are latent variables, and as such, are impossible to measure without the use of an assessment. Responses on the assessments can be influenced by both transient (state-related) error and measurement error, obscuring the…

Applications · Statistics 2017-06-02 Amy E. Nussbaum , Cornelis J. Potgieter , Michael Chmielewski

Accurately quantifying uncertainty of individual treatment effects (ITEs) across multiple decision points is crucial for personalized decision-making in fields such as healthcare, finance, education, and online marketplaces. Previous work…

Methodology · Statistics 2025-12-10 Swaraj Bose , Walter Dempsey

Item Response Theory (IRT) has been proposed within the field of Educational Psychometrics to assess student ability as well as test question difficulty and discrimination power. More recently, IRT has been applied to evaluate machine…

Machine Learning · Statistics 2023-08-01 Sevvandi Kandanaarachchi , Kate Smith-Miles

Within the educational context, a key goal is to assess students acquired skills and to cluster students according to their ability level. In this regard, a relevant element to be accounted for is the possible effect of the school students…

Applications · Statistics 2014-08-12 Michela Gnaldi , Silvia Bacci , Francesco Bartolucci

To promote precision medicine, individualized treatment regimes (ITRs) are crucial for optimizing the expected clinical outcome based on patient-specific characteristics. However, existing ITR research has primarily focused on scenarios…

Methodology · Statistics 2024-02-20 Chang Wang , Lu Wang

In many important applications of precision medicine, the outcome of interest is time to an event (e.g., death, relapse of disease) and the primary goal is to identify the optimal individualized decision rule (IDR) to prolong survival time.…

Methodology · Statistics 2022-04-11 Yu Zhou , Lan Wang , Rui Song , Tuoyi Zhao

This paper is concerned with the nonparametric item response theory (NIRT) for estimating item characteristic curves (ICCs) and latent abilities of examinees on educational and psychological tests. In contrast to parametric models, NIRT…

Applications · Statistics 2017-04-26 Toshiki Sato , Yuichi Takano

Deep learning based knowledge tracing model has been shown to outperform traditional knowledge tracing model without the need for human-engineered features, yet its parameters and representations have long been criticized for not being…

Machine Learning · Computer Science 2019-04-29 Chun-Kit Yeung

Time-varying covariates in longitudinal studies frequently evolve through reciprocal feedback, undergo role reversal, and reflect unobserved individual heterogeneity. Standard statistical frameworks often assume fixed covariate roles and…

Methodology · Statistics 2026-02-27 Niloofar Ramezani , Pascal Nitiema , Jeffrey R. Wilson

Item Response Theory (IRT) was originally developed in traditional exam settings, and it has been shown that the model does not readily transfer to formative assessment in the form of online homework. We investigate if this is mostly due to…

Physics Education · Physics 2015-03-24 Emre Gönülateş , Gerd Kortemeyer

We present an exploratory restricted latent class model where response data is for a single time point, polytomous, and differing across items, and where latent classes reflect a multi-attribute state where each attribute is ordinal. Our…

Methodology · Statistics 2026-03-10 Eric Alan Wayman , Steven Andrew Culpepper , Jeff Douglas , Jesse Bowers