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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

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

Nonresponse is present in almost all surveys and can severely bias estimates. It is usually distinguished between unit and item nonresponse: in the former, we completely fail to have information from a unit selected in the sample, while in…

Methodology · Statistics 2015-08-25 Alina Matei , M. Giovanna Ranalli

Missing data often result in undesirable bias and loss of efficiency. These issues become substantial when the response mechanism is nonignorable, meaning that the response model depends on unobserved variables. To manage nonignorable…

Methodology · Statistics 2024-12-30 Kenji Beppu , Jinung Choi , Kosuke Morikawa , Jongho Im

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…

Machine Learning · Computer Science 2024-08-16 Susanne Frick , Amer Krivošija , Alexander Munteanu

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

Evaluating models and datasets in computer vision remains a challenging task, with most leaderboards relying solely on accuracy. While accuracy is a popular metric for model evaluation, it provides only a coarse assessment by considering a…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Rahul Ramachandran , Tejal Kulkarni , Charchit Sharma , Deepak Vijaykeerthy , Vineeth N Balasubramanian

Most datasets suffer from partial or complete missing values, which has downstream limitations on the available models on which to test the data and on any statistical inferences that can be made from the data. Several imputation techniques…

Machine Learning · Statistics 2023-02-09 Adrienne Kline , Yuan Luo

We consider the estimation problem in a regression setting where the outcome variable is subject to nonignorable missingness and identifiability is ensured by the shadow variable approach. We propose a versatile estimation procedure where…

Methodology · Statistics 2019-07-09 Jiwei Zhao , Yanyuan Ma

We present a method to analyze sensitivity of frequentist inferences to potential nonignorability of the missingness mechanism. Rather than starting from the selection model, as is typical in such analyses, we assume that the missingness…

Methodology · Statistics 2023-02-09 Heng Chen , Daniel F. Heitjan

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…

Applications · Statistics 2020-03-18 Alex Brodersen , Ick Hoon Jin , Ying Cheng , Minjeong Jeon

Nonignorable missing outcomes are common in real world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may forgo them in favour of partially…

Methodology · Statistics 2023-10-19 Daniel Daly-Grafstein , Paul Gustafson

It is reasonable to consider, in many cases, that individuals' latent traits have a hierarchical structure such that more general traits are a suitable composition of more specific ones. Existing item response models that account for such…

Methodology · Statistics 2020-07-28 Juliane Venturelli S. L. , Flavio B. Gonçalves , Dalton F. Andrade

With nonignorable missing data, likelihood-based inference should be based on the joint distribution of the study variables and their missingness indicators. These joint models cannot be estimated from the data alone, thus requiring the…

Statistics Theory · Mathematics 2017-01-06 Mauricio Sadinle , Jerome P. Reiter

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

This paper provides further insight into the key concept of missing at random (MAR) in incomplete data analysis. Following the usual selection modelling approach we envisage two models with separable parameters: a model for the response of…

Statistics Theory · Mathematics 2007-06-13 Guobing Lu , John B. Copas

This paper proposes a general multiple imputation approach for analyzing large-scale data with missing values. An imputation model is derived from a joint distribution induced by a latent variable model, which can flexibly capture…

Methodology · Statistics 2025-09-26 Siliang Zhang , Yunxiao Chen , Jouni Kuha

Evaluation of NLP methods requires testing against a previously vetted gold-standard test set and reporting standard metrics (accuracy/precision/recall/F1). The current assumption is that all items in a given test set are equal with regards…

Computation and Language · Computer Science 2016-09-26 John P. Lalor , Hao Wu , Hong Yu

Sensitivity analysis is popular in dealing with missing data problems particularly for non-ignorable missingness. It analyses how sensitively the conclusions may depend on assumptions about missing data e.g. missing data mechanism (MDM). We…

Methodology · Statistics 2015-01-26 Peng Yin , Jian Qing Shi

Missing data can lead to inefficiencies and biases in analyses, in particular when data are missing not at random (MNAR). It is thus vital to understand and correctly identify the missing data mechanism. Recovering missing values through a…

Methodology · Statistics 2022-12-08 Jack Noonan , Adetola Adedamola Adediran , Robin Mitra , Stefanie Biedermann