# Modeling local item dependence with the hierarchical generalized linear model.

@article{Jiao2005ModelingLI, title={Modeling local item dependence with the hierarchical generalized linear model.}, author={Hong Jiao and Shudong Wang and Akihito Kamata}, journal={Journal of applied measurement}, year={2005}, volume={6 3}, pages={ 311-21 } }

Local item dependence (LID) can emerge when the test items are nested within common stimuli or item groups. This study proposes a three-level hierarchical generalized linear model (HGLM) to model LID when LID is due to such contextual effects. The proposed three-level HGLM was examined by analyzing simulated data sets and was compared with the Rasch-equivalent two-level HGLM that ignores such a nested structure of test items. The results demonstrated that the proposed model could capture LID… Expand

#### 26 Citations

A Multilevel Testlet Model for Dual Local Dependence

- Psychology
- 2012

The applications of item response theory (IRT) models assume local item independence and that examinees are independent of each other. When a representative sample for psychometric analysis is… Expand

Item Response Theory Using Hierarchical Generalized Linear Models.

- Psychology
- 2015

Multilevel models (MLMs) are flexible in that they can be employed to obtain item and person parameters, test for differential item functioning (DIF) and capture both local item and person… Expand

Detecting Local Dependence: A Threshold-Autoregressive Item Response Theory (TAR-IRT) Approach for Polytomous Items

- Mathematics
- 2020

ABSTRACT In applications of item response theory (IRT) models, it is known that empirical violations of the local independence (LI) assumption can significantly bias parameter estimates. To address… Expand

A general Bayesian multilevel multidimensional IRT model for locally dependent data

- Computer Science, Medicine
- The British journal of mathematical and statistical psychology
- 2018

This model can test whether item response data violate the orthogonal assumption that many IRT models make about the dimensional structure of the data when addressing sources of LID, and this test is carried out at the dimensional level while accounting for sampling clusters. Expand

Differential Item Functioning for Polytomous Response Items Using Hierarchical Generalized Linear Model

- Mathematics
- 2019

Hierarchical generalized linear model (HGLM) as a differential item functioning (DIF) detection method is a relatively new approach and has several advantages; such as handling extreme response… Expand

The Bayesian Multilevel Trifactor Item Response Theory Model

- Computer Science, Medicine
- Educational and psychological measurement
- 2019

This model can identify when item response data represent a multilevel trifactor structure, and it does so in data from samples as small as 250 cases nested within 50 clusters, and the simulations show that misleading estimates for the item discriminations could arise when the trfactor structure reflected in the data is not correctly accounted for. Expand

Applying unidimensional and multidimensional item response theory models in testlet-based reading assessment

- Psychology
- 2014

This study examined the relative effectiveness of the multidimensional bi-factor model and multidimensional testlet response theory (TRT) model in accommodating local dependence in testlet-based… Expand

Polytomous multilevel testlet models for testlet-based assessments with complex sampling designs.

- Mathematics, Medicine
- The British journal of mathematical and statistical psychology
- 2015

Polytomous multilevel testlet models for dual dependence due to item and person clustering in testlet-based assessments with clustered samples were presented and it was indicated that the deviance information criterion was the fit index that always correctly identified the true multileVEL testlet model. Expand

A Bayesian Random Block Item Response Theory Model for Forced-Choice Formats

- Medicine, Computer Science
- Educational and psychological measurement
- 2020

The simulation results demonstrated that the BRB IRT model performed well for the estimation of item and trait parameters and for screening those with relatively low scores on target traits and the empirical application showed the performance was equivalent to that of the Thurstonian I RT model. Expand

Assessing Testlet Effect, Impact, Differential Testlet, and Item Functioning Using Cross-Classified Multilevel Measurement Modeling

- Psychology
- 2015

The present study used the two-level testlet response model (MMMT-2) to assess impact, differential item functioning (DIF), and differential testlet functioning (DTLF) in a reading comprehension… Expand

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