Results 1 to 10 of about 782,349 (25)
Extended Asymptotic Identifiability of Nonparametric Item Response Models [PDF]
Psychometrika 89 (2024) 958-973, 2023 Nonparametric item response models provide a flexible framework in psychological and educational measurements. Douglas (2001) established asymptotic identifiability for a class of models with nonparametric response functions for long assessments. Nevertheless, the model class examined in Douglas (2001) excludes several popular parametric item response ...
arxiv +1 more source
Modeling repeated self-reported outcome data: a continuous-time longitudinal Item Response Theory model [PDF]
Methods (2022), 2021 Item Response Theory (IRT) models have received growing interest in health science for analyzing latent constructs such as depression, anxiety, quality of life, or cognitive functioning from the information provided by each individual's items responses.
arxiv +1 more source
On multidimensional item response theory -- a coordinate free approach [PDF]
Electronic Journal of Statistics 2007, Vol. 1, 290-306, 2007 A coordinate system free definition of complex structure multidimensional item response theory (MIRT) for dichotomously scored items is presented. The point of view taken emphasizes the possibilities and subtleties of understanding MIRT as a multidimensional extension of the ``classical'' unidimensional item response theory models.
arxiv +1 more source
A Doubly Latent Space Joint Model for Local Item and Person Dependence in the Analysis of Item Response Data [PDF]
Psychometrika 84 (2019) 236-260, 2016 Item response theory (IRT) models explain an observed item response as a function of a respondent's latent trait and the item's property. IRT is one of the most widely utilized tools for item response analysis; however, local item and person independence, which is a critical assumption for IRT, is often violated in real testing situations.
arxiv +1 more source
Matrix Decomposition Perspective for Accuracy Assessment of Item Response Theory [PDF]
arXiv, 2022 The item response theory obtains the estimates and their confidence intervals for parameters of abilities of examinees and difficulties of problems by using the observed item response matrix consisting of 0/1 value elements. Many papers discuss the performance of the estimates. However, this paper does not.
arxiv
Item Response Theory -- A Statistical Framework for Educational and Psychological Measurement [PDF]
arXiv, 2021 Item response theory (IRT) has become one of the most popular statistical models for psychometrics, a field of study concerned with the theory and techniques of psychological measurement. The IRT models are latent factor models tailored to the analysis, interpretation, and prediction of individuals' behaviors in answering a set of measurement items ...
arxiv
Amortised Design Optimization for Item Response Theory [PDF]
arXiv, 2023 Item Response Theory (IRT) is a well known method for assessing responses from humans in education and psychology. In education, IRT is used to infer student abilities and characteristics of test items from student responses. Interactions with students are expensive, calling for methods that efficiently gather information for inferring student ...
arxiv
A Spectral Approach to Item Response Theory [PDF]
arXiv, 2022 The Rasch model is one of the most fundamental models in \emph{item response theory} and has wide-ranging applications from education testing to recommendation systems. In a universe with $n$ users and $m$ items, the Rasch model assumes that the binary response $X_{li} \in \{0,1\}$ of a user $l$ with parameter $\theta^*_l$ to an item $i$ with parameter
arxiv
Statistical inference for the penalized EM algorithm to test differential item functioning [PDF]
arXiv, 2023 Recent advancements in testing differential item functioning (DIF) have greatly relaxed restrictions made by the conventional multiple group item response theory (IRT) model with respect to the number of grouping variables and the assumption of predefined DIF-free anchor items.
arxiv
Processing of Test Matrices with Guessing Correction [PDF]
arXiv, 2006 It is suggested to insert into test matrix 1s for correct responses, 0s for response refusals, and negative corrective elements for incorrect responses. With the classical test theory approach test scores of examinees and items are calculated traditionally as sums of matrix elements, organized in rows and columns. Correlation coefficients are estimated
arxiv