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30 results for IRT

Proposes β4β^{4}-IRT, a new IRT model with enhanced discrimination estimation.

problem Symmetry problem in β3β^3-IRT causing incorrect discrimination values.
method Gradient descent method, link functions, and new parameters for discrimination.
result Improved parameter recovery in experiments compared to β3β^3-IRT.

Ensemble unsupervised anomaly detection using IRT for hidden ground truth.

problem Challenges in constructing an ensemble from unsupervised anomaly detection methods.
method Use Item Response Theory to compute latent traits and construct an ensemble that downplays noisy methods.
result Demonstrated effectiveness of IRT ensemble on extensive data repository.

Item Response Theory (IRT) aims to assess latent abilities of respondents based on the correctness of their answers in aptitude test items with different difficulty levels. In this paper, we propose the β3β^3-IRT model, which models continuous responses and can generate a much enriched family of Item Characteristic Cur…

2019-03-10abs ↗pdf ↗

Item Response Theory (IRT) is a ubiquitous model for understanding humans based on their responses to questions, used in fields as diverse as education, medicine and psychology. Large modern datasets offer opportunities to capture more nuances in human behavior, potentially improving test scoring and better informing p…

2020-02-01abs ↗pdf ↗

Identity-link IRT improves TVD-MI scores without curvature violations.

problem Preserving additivity in TVD-MI scores for efficient LLM evaluation.
method Derives clipped-linear model from Gini entropy maximization, using identity link.
result Identity-link yields lower curvature violations (median curl 0.080-0.150) compared to probit/logit.

Item response theory (IRT) models for categorical response data are widely used in the analysis of educational data, computerized adaptive testing, and psychological surveys. However, most IRT models rely on both the assumption that categories are strictly ordered and the assumption that this ordering is known a priori…

2015-01-12abs ↗pdf ↗

GPIRT uses Gaussian processes to estimate latent traits and IRFs from binary responses.

problem Nonparametric IRT models struggle to estimate flexible IRFs and latent traits simultaneously.
method GPIRT employs Gaussian process priors to relax IRF assumptions while estimating latent traits.
result GPIRT provides a flexible solution to IRT challenges, including active learning.

LaRT models LLMs' response accuracy and CoT length to evaluate reasoning ability and speed.

problem Valid evaluation of Large Language Models (LLMs) via response accuracy and chain-of-thought length.
method Introduces Latency-Response Theory (LaRT) to jointly model response accuracy and CoT length using latent ability and latent speed.
result LaRT yields higher estimation accuracy and shorter confidence intervals for latent traits compared to IRT.

FedIRT enables privacy-preserving psychometric estimation without centralizing data.

problem Privacy and data governance concerns in centralized IRT estimation.
method Federated Item Response Theory (FedIRT) and FedIRT-DP for differentially private estimation.
result FedIRT matches accuracy of centralized estimators while preserving privacy.

The paper examines skill estimation and variance under model misspecification in IRT.

problem Underestimation and overestimation of skills when non-compensatory model is misspecified as compensatory.
method Theoretical approach to analyze underestimation and overestimation of skills and variance.
result Overestimation of skills occurs around the origin and asymptotic variance differs under model misspecification.

In this article, we propose a novel probabilistic framework to improve the accuracy of a weighted majority voting algorithm. In order to assign higher weights to the classifiers which can correctly classify hard-to-classify instances, we introduce the Item Response Theory (IRT) framework to evaluate the samples' diffic…

2019-11-11abs ↗pdf ↗

The recently proposed SPARse Factor Analysis (SPARFA) framework for personalized learning performs factor analysis on ordinal or binary-valued (e.g., correct/incorrect) graded learner responses to questions. The underlying factors are termed "concepts" (or knowledge components) and are used for learning analytics (LA),…

2014-12-18abs ↗pdf ↗

A new framework evaluates large language models efficiently and accurately.

problem Evaluation of large language models is challenging due to stochasticity and heterogeneity of benchmarks.
method Interpretable and scalable framework based on Item Response Theory (IRT) and majorization-minimization principle.
result Our method achieves superior scalability and interpretability compared to existing approaches.

Bayesian method improves adaptive testing item selection, ensuring full item exposure.

problem Adaptive testing selects items to estimate ability, but must also ensure diverse item exposure.
method Formulated as Bayesian model averaging, deriving optimal item sampling probabilities.
result Stochastic method achieves full item bank exposure without sacrificing accuracy.

Improved IFA with Generative Adversarial Networks for high-dimensional latent variables.

problem Limited expressiveness of traditional VAEs in high-dimensional latent variable modeling.
method Introducing Adversarial Variational Bayes (AVB) and Importance-weighted Adversarial Variational Bayes (IWAVB) algorithms.
result IWAVB demonstrated superior expressiveness and higher likelihood compared to IWAE.