Measuring Growth in a Longitudinal Large-Scale Assessment with a General Latent Variable Model

Abstract

item response theory, growth models, multidimensional IRT, longitudinal models, diagnostic models, large-scale assessments,

Multilevel Cognitive Diagnosis Models for Assessing Changes in Latent Attributes

“…In the literature on longitudinal research, the latent trait structure and item parameters are often assumed to remain constant across measurement occasions (e.g., Andersen, ; Embretson, ; von Davier, Xu, & Carstensen, ). Following reasonable assumptions and normal practices, it can be assumed that the structure of the attributes remains the same, that the attribute and item parameters (i.e., the λ and δ parameters) are set to be equal across times, and that the subscript t for the attribute parameters in Equation can consequently be omitted.…”

Working memory as a moderator of training and transfer of analogical reasoning in children

“…IRT scoring in its simplest form, the Rasch model, is based not only on the ability of the person taking the test, but also on test-item properties. Embretson (1991) proposed an IRT model, the Multidimensional Rasch Model for Learning and Change (MRMLC), that provides both reliable initial ability and change estimates that can be applied to repeated measures designs (e.g., Embretson & Prenovorst, 2000;Stevenson, Hickendorff, Resing, Heiser, & De Boeck, 2013) and longitudinal research (e.g., Von Davier, Xu, & Carstensen, 2011). We used this model for estimating the children's pretest abilities and performance change from pretest to posttest on the figural analogies, geometric analogies and seriation tasks.…”

Development of mathematical competency in different German pre-vocational training programmes of the transition system

“…Accordingly, to better integrate heterogeneity into the model, the measurement model approach of the general diagnostic model (von Davier 2008) could potentially be used. By replacing the continuous variable with discrete linear combinations in this approach, multiple latent competency group-specific developments could be modelled (von Davier et al 2011).…”