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The Multidimensional Random Coefficients Multinomial Logit Model, Ray Adams, M Wilson, W Wang
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 …
Applications Of Item Response Theory In The Third International Mathematics And Science Study, E Gonzalez, Ray Adams, Marg Wu
Applications Of Item Response Theory In The Third International Mathematics And Science Study, E Gonzalez, Ray Adams, Marg Wu
Prof Ray Adams
The Third International Mathematics and Science Study (TIMSS) is a survey of mathematics and science achievement sponsored by the International Association for the Evaluation of Educational Achievement. With more than 45 participating countries, three target populations, more than thirty languages, 15,000 schools, more than half a million students, TIMSS is the largest and most ambitious international study of educational achievement ever undertaken. Students participating in the assessment were administered one of eight achievement tests that contain items in mathematics and science, using a variety of item formats. As TIMSS is an international study, many audiences will look at the results …
Rasch Models Of Multidimensionality Between Items And Within Items, W Wen-Chung, M Wilson, Ray Adams
Rasch Models Of Multidimensionality Between Items And Within Items, W Wen-Chung, M Wilson, Ray Adams
Prof Ray Adams
This chapter focuses on Rasch measurement and extends it to multidimensional Rasch models. The author first clarifies multidimensionality at two levels: the item level and the test level. With this two way classification, three kinds of tests are formed: undimensional tests, multidimensional between-item tests, and multidimensional within-item tests. The author describes a multidimensional Rasch model, the multidimensional random coefficients multinomial logit (MRCML) model, for multidimensional tests. The model, when applied to multidimensional between-item tests, is more efficient than are unidimensional models in terms of model fit and reliability indices. The model can also be applied to investigate scale interaction of …
Bias In Weighted Likelihood Estimation When Using The Rasch Model, D Roberts, Ray Adams
Bias In Weighted Likelihood Estimation When Using The Rasch Model, D Roberts, Ray Adams
Prof Ray Adams
There are three methods of maximum likelihood estimation that are commonly used with Rasch item response models: Joint maximum likelihood, which provides point estimates for both person and item parameters; conditional maximum likelihood, which produces estimates for the item parameters only, and marginal maximum likelihood, which produces estimates of the item parameters and parameters of the distribution from which it has been assumed that the persons have been sampled. A number of approaches have been suggested for obtaining ability estimates for subsequent use in reporting or analysis when either conditional or marginal methods have been used to obtain the item …