Title
A skew item response model
Date Issued
01 December 2006
Access level
open access
Resource Type
journal article
Author(s)
University of São Paulo
Abstract
We introduce a new skew-probit link for item response theory (IRT) by considering an accumulated skew-normal distribution. The model extends the symmetric probitnormal IRT model by considering a new item (or skewness) parameter for the item characteristic curve. A special interpretation is given for this parameter, and a latent linear structure is indicated for the model when an augmented likelihood is considered. Bayesian MCMC inference approach is developed and an efficiency study in the estimation of the model parameters is undertaken for a data set from (Tanner 1996, pg. 190) by using the notion of effective sample size (ESS) as defined in Kass et al. (1998) and the sample size per second (ESS/s) as considered in Sahu (2002) The methodology is illustrated using a data set corresponding to a Mathematical Test applied in Peruvian schools for which a sensitivity analysis of the chosen priors is conducted and also a comparison with seven parametric IRT models is conducted. The main conclusion is that the skew-probit item response model seems to provide the best fit. © 2006 International Society for Bayesian Analysis.
Start page
861
End page
892
Volume
1
Issue
4
Language
English
OCDE Knowledge area
Matemáticas
Subjects
DOI
Scopus EID
2-s2.0-33847692477
Source
Bayesian Analysis
ISSN of the container
19316690
DOI of the container
10.1214/06-BA128
Sources of information:
Directorio de Producción Científica
Scopus