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Full-Text Articles in Education
Examining The Performance Of The Metropolis-Hastings Robbins-Monro Algorithm In The Estimation Of Multilevel Multidimensional Irt Models, Bozhidar M. Bashkov
Examining The Performance Of The Metropolis-Hastings Robbins-Monro Algorithm In The Estimation Of Multilevel Multidimensional Irt Models, Bozhidar M. Bashkov
Dissertations, 2014-2019
The purpose of this study was to review the challenges that exist in the estimation of complex (multidimensional) models applied to complex (multilevel) data and to examine the performance of the recently developed Metropolis-Hastings Robbins-Monro (MH-RM) algorithm (Cai, 2010a, 2010b), designed to overcome these challenges and implemented in both commercial and open-source software programs. Unlike other methods, which either rely on high-dimensional numerical integration or approximation of the entire multidimensional response surface, MH-RM makes use of Fisher’s Identity to employ stochastic imputation (i.e., data augmentation) via the Metropolis-Hastings sampler and then apply the stochastic approximation method of Robbins and Monro …
Equating Multiple Forms Of A Competency Test: An Item Response Theory Approach, Christine E. Demars
Equating Multiple Forms Of A Competency Test: An Item Response Theory Approach, Christine E. Demars
Department of Graduate Psychology - Faculty Scholarship
A competency test was developed to assess students' skills in using electronic library resources. Because all students were required to pass the test, and had multiple opportunities to do so, multiple test forms were desired. Standards had been set on the original form, and minor differences in form difficulty needed to be taken into account. Students were randomly administered one of six new test forms; each form contained the original items and 12 pilot items which were different on each form. The pilot items were then calibrated to the metric of the original items and incorporated in two additional operational …