# Mapping Unobserved Item-Respondent Interactions: A Latent Space Item Response Model with Interaction Map.

@article{Jeon2020MappingUI, title={Mapping Unobserved Item-Respondent Interactions: A Latent Space Item Response Model with Interaction Map.}, author={Minjeong Jeon and Ick Hoon Jin and Michael Schweinberger and Samuel Baugh}, journal={Psychometrika}, year={2020} }

Classic item response models assume that all items with the same difficulty have the same response probability among all respondents with the same ability. These assumptions, however, may very well be violated in practice, and it is not straightforward to assess whether these assumptions are violated, because neither the abilities of respondents nor the difficulties of items are observed. An example is an educational assessment where unobserved heterogeneity is present, arising from unobserved…

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## References

SHOWING 1-10 OF 44 REFERENCES

### Regression-based latent factor models

- Computer ScienceKDD
- 2009

A novel latent factor model to accurately predict response for large scale dyadic data in the presence of features is proposed and induces a stochastic process on the dyadic space with kernel given by a polynomial function of features.

### Latent Space Models for Dynamic Networks

- Computer Science
- 2015

A model which embeds longitudinal network data as trajectories in a latent Euclidean space is presented and a novel approach is given to detect and visualize an attracting influence between actors using only the edge information.

### Generalized latent variable models: multilevel, longitudinal, and structural equation models

- Economics
- 2004

METHODOLOGY THE OMNI-PRESENCE OF LATENT VARIABLES Introduction 'True' variable measured with error Hypothetical constructs Unobserved heterogeneity Missing values and counterfactuals Latent responses…

### Stability and Change of Unidimensionality

- Psychology
- 2001

In most longitudinal studies, researchers take the stability of a latent dimension for granted.This article shows that items assumed to measure a given construct can change their meaning during…

### The Geometry of Continuous Latent Space Models for Network Data

- Computer ScienceStatistical science : a review journal of the Institute of Mathematical Statistics
- 2019

These models naturally capture homophilous tendencies and triadic clustering, among other common properties of observed networks, and the important role the geometry of the latent space plays on properties of networks arising from these models via intuition and simulation is highlighted.

### Additive and Multiplicative Effects Network Models

- Computer ScienceStatistical Science
- 2021

A general regression framework for the analysis of network data that combines these two types of random effects and accommodates a variety of networkData types, including continuous, binary and ordinal network relations is reviewed.

### 10. Settings in Social Networks: A Measurement Model

- Computer Science
- 2003

A class of statistical models is proposed that aims to recover latent settings structures in social networks by model-based clustering with an ultrametric space as the underlying metric to capture the dependence in the observations.

### Item Clusters and Computerized Adaptive Testing: A Case for Testlets

- Education
- 1987

The development of the "testlet," a bundle of items that can be arranged either hierarchically or linearly, thus maintaining the efficiency of an adaptive test while keeping the quality control of test construction that is possible currently only with careful expert scrutiny is discussed.

### On General Laws and the Meaning of Measurement in Psychology

- Psychology
- 1961

Abstract : Lately the statistical methods of psychometrics have been severely criticized in psychological quarters. Thus Skinner [1] maintains that if order is to be found in human and animal…

### Estimating psychological networks

- 2018