The DINA model as a constrained general diagnostic model: Two variants of a model equivalency

M Von Davier - British Journal of Mathematical and Statistical …, 2014 - Wiley Online Library
The 'deterministic‐input noisy‐AND'(DINA) model is one of the more frequently applied
diagnostic classification models for binary observed responses and binary latent variables …

A conditional joint modeling approach for locally dependent item responses and response times

XB Meng, J Tao, HH Chang - Journal of Educational …, 2015 - Wiley Online Library
The assumption of conditional independence between the responses and the response
times (RTs) for a given person is common in RT modeling. However, when the speed of a …

On the unidentifiability of the fixed-effects 3PL model

E San Martín, J González, F Tuerlinckx - Psychometrika, 2015 - cambridge.org
The paper offers a general review of the basic concepts of both statistical model and
parameter identification, and revisits the conceptual relationships between parameter …

Linking item response model parameters

WJ van der Linden, MD Barrett - Psychometrika, 2016 - cambridge.org
With a few exceptions, the problem of linking item response model parameters from different
item calibrations has been conceptualized as an instance of the problem of test equating …

Identification of the 1PL model with guessing parameter: Parametric and semi-parametric results

E San Martín, JM Rolin, LM Castro - Psychometrika, 2013 - cambridge.org
In this paper, we study the identification of a particular case of the 3PL model, namely when
the discrimination parameters are all constant and equal to 1. We term this model, 1PL-G …

A Bayesian modeling approach for generalized semiparametric structural equation models

XY Song, ZH Lu, JH Cai, EHS Ip - Psychometrika, 2013 - cambridge.org
In behavioral, biomedical, and psychological studies, structural equation models (SEMs)
have been widely used for assessing relationships between latent variables. Regression …

Identification of item response theory models

E San Martín - Handbook of item response theory, 2016 - api.taylorfrancis.com
Why identification is relevant for model construction? In 1922, RA Fisher pointed out that, in
spite of the large amount of fruitful applications of statistics, its basic principles were still in a …

Identification of parametric Rasch-type models

E San Martín, JM Rolin - Journal of statistical planning and inference, 2013 - Elsevier
In modern Item Response Theory, the Rasch model is viewed as a Generalized Linear
Mixed Model, where the item parameters correspond to the fixed-effects, whereas the …

Computational strategies and estimation performance with Bayesian semiparametric item response theory models

S Paganin, CJ Paciorek, C Wehrhahn… - … of Educational and …, 2023 - journals.sagepub.com
Item response theory (IRT) models typically rely on a normality assumption for subject-
specific latent traits, which is often unrealistic in practice. Semiparametric extensions based …

A general non-linear multilevel structural equation mixture model

A Kelava, H Brandt - Frontiers in psychology, 2014 - frontiersin.org
In the past 2 decades latent variable modeling has become a standard tool in the social
sciences. In the same time period, traditional linear structural equation models have been …