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Prof Ray Adams

Selected Works

Rasch model

Articles 1 - 7 of 7

Full-Text Articles in Education

The Influence Of Equating Methodology On Reported Trends In Pisa, Eveline Gebhardt, Ray Adams Dec 2006

The Influence Of Equating Methodology On Reported Trends In Pisa, Eveline Gebhardt, Ray Adams

Prof Ray Adams

In 2005 PISA published trend indicators that compared the results of PISA 2000 and PISA 2003. This paper explores the extent to which the outcomes of these trend analyses are sensitive to the choice of test equating methodologies, the choice of regression models and the choice of linking items. To establish trends, PISA equated its 2000 and 2003 tests using a methodology based on Rasch Modelling that involved estimating linear transformations that mapped 2003 Rasch-scaled scores to the previously established PISA 2000 Rasch-scaled scores. This paper compares the outcomes of this approach with an alternative, which involves the joint Rasch …


Application Of Multivariate Rasch Models In International Large-Scale Educational Assessments, Ray Adams, Margaret Wu, C Carstensen Dec 2005

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 Dec 2005

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 …


The Implications Of Halo Effects And Item Dependencies For Objective Measurement, T Mcnamara, Ray Adams Dec 1999

The Implications Of Halo Effects And Item Dependencies For Objective Measurement, T Mcnamara, Ray Adams

Prof Ray Adams

Analysis of data from performance-based language tests presents the problem of dealing appropriately with bundles of items that are linked to particular tasks. The authors use recent developments in Rasch modelling which allow analysis of bundles of items (or sets of ratings) to examine the extent of dependence between items and ratings, and they explore the implications of those dependences on the assessments. Data from two performance assessments are used in two studies of this problem.


Interpreting The Parameters Of A Multidimensional Rasch Model, W Wang, M Wilson, Ray Adams Dec 1999

Interpreting The Parameters Of A Multidimensional Rasch Model, W Wang, M Wilson, Ray Adams

Prof Ray Adams

This chapter introduces the multidimensional random coefficient multinomial logit model (MRCML) which can be applied to multidimensional polytomous test items. Two examples of real data analyses are followed to demonstrates the applications of the MRCML. A detailed discussion is made of interpretation of item parameters, in comparision to those derived from their corresponding unidimensional Rasch measurement models. Finally, it provides some guidelines for constructing scoring matrices and the corresponding models to aid parameter interpretation.


Measuring Individual Differences In Change With Multidimensional Rasch Models, W Wang, M Wilson, Ray Adams Dec 1997

Measuring Individual Differences In Change With Multidimensional Rasch Models, W Wang, M Wilson, Ray Adams

Prof Ray Adams

Item response models have been developed to explore change measurement, including those proposed by Fischer and his colleagues. In this article the authors propose another multidimensional Rasch model, the multidimensional random coefficient multinomial logit (MRCML) model. All these models are briefly reviewed and compared. The MRCML can be applied to not only polytomous items but also investigation of variations in item difficulties. Based on variations in difficulties across occasions and items, five kinds of models are proposed. Some simulation studies were conducted to examine parameter recovery of the MRCML model under various testing situations. All the parameters were recovered very …


The Multidimensional Random Coefficients Multinomial Logit Model, Ray Adams, M Wilson, W Wang Dec 1996

The Multidimensional Random Coefficients Multinomial Logit Model, Ray Adams, M Wilson, W Wang

Prof Ray Adams

A multidimensional Rasch-type item response model, the multidimensional random coefficients multinomial logit model, is presented as an extension to the Adams and Wilson (1996) random coefficients multinomial logit model. The model is developed in a form that permits generalization to the multidimensional case of a wide class of Rasch models, including the simple logistic model, Masters' partial credit model, Wilson's ordered partition model, and Fischer's linear logistic model. Moreover, the model includes several existing multidimensional models as special cases, including Whitely's multicomponent latent trait model, Andersen's multidimensional Rasch model for repeated testing, and Embretson's multidimensional Rasch model for learning and …