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Modelling Mathematics Problem Solving Item Responses Using A Multidimensional Irt Model, Margaret Wu, Ray Adams
Modelling Mathematics Problem Solving Item Responses Using A Multidimensional Irt Model, Margaret Wu, Ray Adams
Prof Ray Adams
This research examined students' responses to mathematics problem- solving tasks and applied a general multidimensional IRT model at the response category level. In doing so, cognitive processes were identified and modelled through item response modelling to extract more information than would be provided using conventional practices in scoring items. More specifically, the study consisted of two parts. The first part involved the development of a mathematics problem-solving framework that was theoretically grounded, drawing upon research in mathematics education and cognitive psychology. The framework was then used as the basis for item development. The second part of the research involved the …
Application Of Multivariate Rasch Models In International Large-Scale Educational Assessments, Ray Adams, Margaret Wu, C Carstensen
Application Of Multivariate Rasch Models In International Large-Scale Educational Assessments, Ray Adams, Margaret Wu, C Carstensen
Prof Ray Adams
In large-scale educational assessments, such as the Programme for International Student Assessment (PISA) and the Trends in International Mathematics and Science Study (TIMSS), a primary concern is with the estimation of the population-level characteristics of a number of latent variables and the relationships between latent variables and other variables. Typically these studies are undertaken in contexts in which there are constraints on sample size and individual student response time, yet there are high expectations with regard to the breadth of content coverage. These demands and constraints have resulted in such studies using rotated-booklet designs, with each student responding to a …
The Mixed-Coefficients Multinomial Logit Model : A Generalized Form Of The Rasch Model, Ray Adams, Margaret Wu
The Mixed-Coefficients Multinomial Logit Model : A Generalized Form Of The Rasch Model, Ray Adams, Margaret Wu
Prof Ray Adams
Since Rasch's introduction of his item response models, there has been a proliferation of extensions and alternatives, each of which has a different name and different matching software package. The proliferation of models has, in some ways, been a hindrance to practitioners. This paper presents a generalised item response model that provides a unifying framework for a large class of Rasch-type models. The advantages of a single framework include mathematical elegance, generality in a single software package, and a facilitation of the development, testing, and comparison of new models. The unified model is a multidimensional item response model, the specification …