A multiple group item response theory model with centered skew-normal latent trait distributions under a Bayesian framework

JRS Santos, CLN Azevedo… - Journal of Applied Statistics, 2013 - Taylor & Francis
Very often, in psychometric research, as in educational assessment, it is necessary to
analyze item response from clustered respondents. The multiple group item response theory …

Bayesian estimation of a multidimensional additive graded response model for correlated traits

I Martelli, M Matteucci, S Mignani - Communications in Statistics …, 2016 - Taylor & Francis
The aim of the article is to propose a Bayesian estimation through Markov chain Monte Carlo
of a multidimensional item response theory model for graded responses with an additive …

Bayesian inference for a skew-normal IRT model under the centred parameterization

CLN Azevedo, H Bolfarine, DF Andrade - Computational Statistics & Data …, 2011 - Elsevier
Item response theory (IRT) comprises a set of statistical models which are useful in many
fields, especially when there is interest in studying latent variables. These latent variables …

Parameter recovery for a skew-normal IRT model under a Bayesian approach: hierarchical framework, prior and kernel sensitivity and sample size

CLN Azevedo, H Bolfarine… - Journal of Statistical …, 2012 - Taylor & Francis
Item response theory (IRT) comprises a set of statistical models which are useful in many
fields, especially when there is an interest in studying latent variables (or latent traits) …

[HTML][HTML] Multidimensional multiple group IRT models with skew normal latent trait distributions

JL Padilla, CLN Azevedo, VH Lachos - Journal of Multivariate Analysis, 2018 - Elsevier
Multidimensional item response theory (MIRT) models are quite useful to analyze datasets
involving multiple skills or latent traits, which occur in many applications. However, most of …

A Bayesian generalized multiple group IRT model with model-fit assessment tools

CLN Azevedo, DF Andrade, JP Fox - Computational statistics & data …, 2012 - Elsevier
The multiple group IRT model (MGM) proposed by Bock and Zimowski (1997) provides a
useful framework for analyzing item response data from clustered respondents. In the MGM …

Bayesian item response model: a generalized approach for the abilities' distribution using mixtures

F Bambirra Gonçalves… - Journal of Statistical …, 2018 - Taylor & Francis
ABSTRACT Traditional Item Response Theory models assume the distribution of the
abilities of the population in study to be Gaussian. However, this may not always be a …

Bayesian estimation and model selection in ordered latent class models for polytomous items

MJH van Onna - Psychometrika, 2002 - Springer
In a latent class IRT model in which the latent classes are ordered on one dimension, the
class specific response probabilities are subject to inequality constraints. The number of …

Bayesian estimation of MIRT models with general and specific latent traits in MATLAB

Y Sheng - Journal of Statistical Software, 2010 - jstatsoft.org
Multidimensional item response models have been developed to incorporate a general trait
and several specific trait dimensions. Depending on the structure of these latent traits …

Bayesian inference for IRT models with non-normal latent trait distributions

X Zhang, C Wang, DJ Weiss, J Tao - Multivariate Behavioral …, 2021 - Taylor & Francis
Normality of latent traits is a common assumption made when estimating parameters for item
response theory (IRT) models, but this assumption may be violated. The purpose of this …