This course addresses the following topics: principles of invariant measurement, application of the principles of invariant measurement to rater-mediated assessments, description of the lens model for rater judgments, integration of principles of invariant measurement with the lens model of cognitive processes of raters, illustration of substantive and psychometric issues related to ratermediated assessments in terms of validity, reliability, and fairness and discussion of theoretical and practical issues related to rater-mediated assessment systems. The course also covers extensions of the Rasch model, such as multivariate and mixture Rasch models and generalized Rasch models and presents the applications of these models in the fields of cognition and education.
Smith, R. M. (1996). A comparison of methods for determining dimensionality in Rasch measurement. Structural Equation Modelling: A Multidisciplinary Journal, 3(1), 25-40.
Wright, B. D. (1996). Comparing Rasch measurement and factor analysis. Structural Equation Modelling: A Multidisciplinary Journal, 3(1), 3-24
Wright, B. D., & Mok, M. (2000). Understanding Rasch measurement: Rasch models overview. Journal of Applied Measurement, 1(1), 83–106.
WINSTEPS software, http://www.winsteps.com/index.htm
https://cran.r-project.org/web/packages/lme4/index.html
https://www.winsteps.com/manuals.htm
https://www.rasch.org/rmt/contents.htm
https://www.rasch.org/rasch.htm
http://jampress.org/jam-press.htm
https://www.rasch.org/rmt/rmt242d.htm
National Council for Measurement in Education, www.ncme.org
Rasch Measurement Special Interest Group (SIG): http://www.raschsig.org/
Multivariate and Mixture Distribution Rasch Models by 
Applied Rasch Measurement: A Book of Exemplars by 
Rasch Models for Measurement by 
Applying the Rasch Model by 
Rasch Analysis in the Human Sciences by 
