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Cognitive assessment is a growing area in psychological and educational measurement, where tests are given to assess mastery/deficiency of attributes or skills. A key issue is the correct identification of attributes associated with items…

Statistics Theory · Mathematics 2015-03-17 Jingchen Liu , Gongjun Xu , Zhiliang Ying

This paper establishes fundamental results for statistical inference of diagnostic classification models (DCM). The results are developed at a high level of generality, applicable to essentially all diagnostic classification models. In…

Statistics Theory · Mathematics 2025-01-08 Guanhua Fang , Jingchen Liu , Zhiliang Ying

There has been growing interest in recent years in Q-matrix based cognitive diagnosis models. Parameter estimation and respondent classification under these models may suffer due to identifiability issues. Non-identifiability can be…

Methodology · Statistics 2013-03-05 Stephanie S. Zhang , Lawrence T. DeCarlo , Zhiliang Ying

Cognitive Diagnosis Models (CDMs) are a special family of discrete latent variable models that are widely used in modern educational, psychological, social and biological sciences. A key component of CDMs is a binary $Q$-matrix…

Methodology · Statistics 2025-01-08 Chenchen Ma , Gongjun Xu

Digital learning platforms are increasingly used to support reading development while generating rich log files and item-level textual content. Using these data, this study proposes a dynamic cognitive diagnostic modelling (CDM) framework…

Methodology · Statistics 2026-04-09 Yawen Ma , Sahoko Ishida , Kate Cain , Gabriel Wallin

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

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…

Methodology · Statistics 2012-01-24 Silvia Bacci , Francesco Bartolucci , Michela Gnaldi

Few models have been more ubiquitous in their respective fields than Bayesian knowledge tracing and item response theory. Both of these models were developed to analyze data on learners. However, the study designs that these models are…

Methodology · Statistics 2018-10-15 Benjamin Deonovic , Michael Yudelson , Maria Bolsinova , Meirav Attali , Gunter Maris

Large language models (LLMs) have achieved remarkable performance on diverse benchmarks, yet existing evaluation practices largely rely on coarse summary metrics that obscure underlying reasoning abilities. In this work, we propose novel…

Methodology · Statistics 2026-03-17 Jia Liu , Zhiyu Xu , Yuqi Gu

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…

Computation and Language · Computer Science 2026-01-07 Christopher Ormerod

The purpose of this research is to develop an MCMC algorithm for estimating the Q-matrix. Based on the DINA model, the algorithm starts with estimating correlated attributes. Using a saturated model and a binary decimal conversion, the…

Applications · Statistics 2018-02-08 Mengta Chung , Matthew S. Johnson

Recommender system has attracted lots of attentions since it helps users alleviate the information overload problem. Matrix factorization technique is one of the most widely employed collaborative filtering techniques in the research of…

Information Retrieval · Computer Science 2014-05-06 Yonghong Yu , Can Wang , Yang Gao

Diagnostic classification models (DCMs) are psychometric models for evaluating a student's mastery of the essential skills in a content domain based upon their responses to a set of test items. Currently, diagnostic model and/or Q-matrix…

Methodology · Statistics 2022-03-03 Christy Brown , Jonathan Templin

Multiple choice questions (MCQs) that can be generated from a domain ontology can significantly reduce human effort & time required for authoring & administering assessments in an e-Learning environment. Even though here are various methods…

Artificial Intelligence · Computer Science 2016-07-05 Vinu E. , Tahani Alsubait , P. Sreenivasa Kumar

Interpreting data with mathematical models is an important aspect of real-world industrial and applied mathematical modeling. Often we are interested to understand the extent to which a particular set of data informs and constrains model…

Methodology · Statistics 2025-03-06 Matthew J Simpson , Ruth E Baker

Restricted latent class models (RLCMs) have recently gained prominence in educational assessment, psychiatric evaluation, and medical diagnosis. Different from conventional latent class models, restrictions on the RLCM model parameters are…

Statistics Theory · Mathematics 2019-04-09 Yuqi Gu , Gongjun Xu

In this paper, we propose a novel sequence-aware recommendation model. Our model utilizes self-attention mechanism to infer the item-item relationship from user's historical interactions. With self-attention, it is able to estimate the…

Information Retrieval · Computer Science 2018-08-28 Shuai Zhang , Yi Tay , Lina Yao , Aixin Sun

Large language models (LLMs) have shown impressive results while requiring little or no direct supervision. Further, there is mounting evidence that LLMs may have potential in information-seeking scenarios. We believe the ability of an LLM…

Our work is motivated by and illustrated with application of association networks in computational biology, specifically in the context of gene/protein regulatory networks. Association networks represent systems of interacting elements,…

Applications · Statistics 2012-05-01 Natallia Katenka , Eric D. Kolaczyk

The rating of items based on pairwise comparisons has been a topic of statistical investigation for many decades. Numerous approaches have been proposed. One of the best known is the Bradley-Terry model. This paper seeks to assemble and…

Statistics Theory · Mathematics 2025-08-08 Ian Hamilton , Nick Tawn , David Firth
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