A tutorial on Dirichlet process mixture modeling

Y Li, E Schofield, M Gönen - Journal of mathematical psychology, 2019 - Elsevier
Bayesian nonparametric (BNP) models are becoming increasingly important in psychology,
both as theoretical models of cognition and as analytic tools. However, existing tutorials tend …

[图书][B] Statistical models for test equating, scaling, and linking

AA Davier - 2011 - Springer
The goal of this book is to emphasize the formal statistical features of the practice of
equating, linking, and scaling. The book encourages the view and discusses the quality of …

Distributions of the Kullback–Leibler divergence with applications

DI Belov, RD Armstrong - British Journal of Mathematical and …, 2011 - Wiley Online Library
The Kullback–Leibler divergence (KLD) is a widely used method for measuring the fit of two
distributions. In general, the distribution of the KLD is unknown. Under reasonable …

Bayesian latent class analysis tutorial

Y Li, J Lord-Bessen, M Shiyko… - Multivariate behavioral …, 2018 - Taylor & Francis
This article is a how-to guide on Bayesian computation using Gibbs sampling, demonstrated
in the context of Latent Class Analysis (LCA). It is written for students in quantitative …

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

E San Martín, JM Rolin, LM Castro - Psychometrika, 2013 - Springer
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 …

Inference on probabilistic surveys in macroeconomics with an application to the evolution of uncertainty in the survey of professional forecasters during the covid …

F Bassetti, R Casarin, M Del Negro - Handbook of Economic Expectations, 2023 - Elsevier
Probabilistic surveys on macroeconomic variables provide a wealth of information to the
applied researcher. Extracting and using this information is not a trivial task, however. This …

Bayesian estimation of semiparametric nonlinear dynamic factor analysis models using the Dirichlet process prior

SM Chow, N Tang, Y Yuan, X Song… - British Journal of …, 2011 - Wiley Online Library
Parameters in time series and other dynamic models often show complex range restrictions
and their distributions may deviate substantially from multivariate normal or other standard …

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 …

On the Bayesian nonparametric generalization of IRT-type models

E San Martín, A Jara, JM Rolin, M Mouchart - Psychometrika, 2011 - Springer
We study the identification and consistency of Bayesian semiparametric IRT-type models,
where the uncertainty on the abilities' distribution is modeled using a prior distribution on the …

Hierarchical generalized linear models for the analysis of judge ratings

TJ Muckle, G Karabatsos - Journal of Educational Measurement, 2009 - Wiley Online Library
It is known that the Rasch model is a special two‐level hierarchical generalized linear model
(HGLM). This article demonstrates that the many‐faceted Rasch model (MFRM) is also a …