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A general framework of latent trait item response models for continuous responses is given. In contrast to classical test theory models, which traditionally distinguish between true scores and error scores, the responses are clearly linked…

Methodology · Statistics 2022-04-11 Gerhard Tutz , Pascal Jordan

With the rapid advancement of intelligent education, Computerized Adaptive Testing (CAT) has attracted increasing attention by integrating educational psychology with deep learning technologies. Unlike traditional paper-and-pencil testing,…

Information Retrieval · Computer Science 2025-12-02 Xiaoshan Yu , Ziwei Huang , Shangshang Yang , Ziwen Wang , Haiping Ma , Xingyi Zhang

Traditional Item Response Theory models assume the distribution of the abilities of the population in study to be Gaussian. However, this may not always be a reasonable assumption, which motivates the development of more general models.…

Applications · Statistics 2017-12-20 Flávio B. Gonçalves , Bárbara C. C. Dias , Tufi M. Soares

Generative AI is transforming the educational landscape, raising significant concerns about cheating. Despite the widespread use of multiple-choice questions in assessments, the detection of AI cheating in MCQ-based tests has been almost…

Artificial Intelligence · Computer Science 2024-12-13 Alona Strugatski , Giora Alexandron

Permutation tests are widely recognized as robust alternatives to tests based on normal theory. Random permutation tests have been frequently employed to assess the significance of variables in linear models. Despite their widespread use,…

Methodology · Statistics 2023-12-29 Leying Guan

Bayesian adaptive clinical trials offer a flexible and efficient alternative to traditional fixed-design trials, but their implementation is often hindered by the complexity of Bayesian computations and the need for advanced statistical…

Applications · Statistics 2025-07-04 Krishna Padmanabhan , Danny Baker

This document discusses the Information Theoretically Efficient Model (ITEM), a computerized system to generate an information theoretically efficient multinomial logistic regression from a general dataset. More specifically, this model is…

Machine Learning · Computer Science 2014-11-05 Tyler Ward

Random testing (RT) is a well-studied testing method that has been widely applied to the testing of many applications, including embedded software systems, SQL database systems, and Android applications. Adaptive random testing (ART) aims…

Software Engineering · Computer Science 2020-07-15 Rubing Huang , Weifeng Sun , Yinyin Xu , Haibo Chen , Dave Towey , Xin Xia

Recent years have witnessed a surge in the number of large language models (LLMs), yet efficiently managing and utilizing these vast resources remains a significant challenge. In this work, we explore how to learn compact representations of…

Artificial Intelligence · Computer Science 2025-10-02 Jianhao Chen , Chenxu Wang , Gengrui Zhang , Peng Ye , Lei Bai , Wei Hu , Yuzhong Qu , Shuyue Hu

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…

Computation · Statistics 2014-04-16 Angelo Mazza , Antonio Punzo , Brian McGuire

Frequentist and Bayesian methods differ in many aspects, but share some basic optimal properties. In real-life classification and regression problems, situations exist in which a model based on one of the methods is preferable based on some…

Methodology · Statistics 2023-08-29 Tanujit Chakraborty , Gauri Kamat , Ashis Kumar Chakraborty

Testing and evaluating decision-making agents remains challenging due to unknown system architectures, limited access to internal states, and the vastness of high-dimensional scenario spaces. Existing testing approaches often rely on…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Jingxuan Yang , Weichao Xu , Yuchen Shi , Yi Zhang , Shuo Feng , Huaxin Pei

This paper introduces the generalized Hausman test as a novel method for detecting non-normality of the latent variable distribution of unidimensional Item Response Theory (IRT) models for binary data. The test utilizes the pairwise maximum…

Methodology · Statistics 2024-02-14 Lucia Guastadisegni , Silvia Cagnone , Irini Moustaki , Vassilis Vasdekis

Survey instruments and assessments are frequently used in many domains of social science. When the constructs that these assessments try to measure become multifaceted, multidimensional item response theory (MIRT) provides a unified…

Methodology · Statistics 2025-01-08 Chenchen Ma , Jing Ouyang , Chun Wang , Gongjun Xu

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

Software Engineering · Computer Science 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

Item response theory (IRT) is the statistical paradigm underlying a dominant family of generative probabilistic models for test responses, used to quantify traits in individuals relative to target populations. The graded response model…

Applications · Statistics 2022-05-03 Joshua C. Chang , Julia Porcino , Elizabeth K. Rasch , Larry Tang

We propose the use of the probability integral transform (PIT) for model validation in point process models. The simple PIT diagnostics assess the calibration of the model and can detect inconsistencies in both the intensity and the…

Methodology · Statistics 2013-05-16 Thordis L. Thorarinsdottir

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…

Machine Learning · Statistics 2024-10-03 Joakim Wallmark , Maria Josefsson , Marie Wiberg

Analyses of heterogeneous treatment effects (HTE) are common in applied causal inference research. However, when outcomes are latent variables assessed via psychometric instruments such as educational tests, standard methods ignore the…

Probabilistic predictions from neural networks which account for predictive uncertainty during classification is crucial in many real-world and high-impact decision making settings. However, in practice most datasets are trained on…

Machine Learning · Computer Science 2022-09-30 Satya Borgohain , Klaus Ackermann , Ruben Loaiza-Maya
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