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 …

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 …

Educational studies are often focused on growth in student performance and background
variables that can explain developmental differences across examinees. To study …

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 …

Longitudinal studies in psychometric assessment are often focused on latent traits of
subjects, who are clustered in different groups (eg, gender, grade, social level). The …

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) …

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 …

This work consists of four major parts, which correspond to contributions related to Item
Response Theory (IRT), regarding item response function modeling, latent traits distribution …

Longitudinal item response data are characterized by examinees that are assessed at
different time points or measurement occasions such that time-specific measurements are …