Concrete to Abstract

"Mathematical ideas were 'concrete' when they were employed exclusively for building bins for grain or measuring land, selling goods, or aiding a pilot in guiding his ship. They became abstract when they were freed from connection with any particular existential application and use."

Dewey, J. (1929). The Quest for Certainty: A Study of the Relation of Knowledge and Action. New York, NY: Perigee Books, G. P. Putnam's Sons, p. 154.

Most mathematical applications in assessment, survey and test research are concrete because they are employed exclusively in relation to particular applications' samples and instruments. Psychosocial measurement applications will become abstract when that sample- and instrument-dependency is overcome.

William P. Fisher, Jr.


"The other day, at a small measurement theory conference I attended, Duncan Luce mentioned that it was John Tukey (1915-2000) who coined the term additive conjoint measurement for the famous Luce & Tukey (1964) paper."

George Karabatsos, 8-17-2000


RUMM2010 Software

Rasch Unidimensional Measurement Models

· Diagnoses Differential Item Functioning (graphically and statistically)

· Person Factor and Item Factor (or Facet) analyses

· Item maps

· Item and Person parameter distributions with one way ANOVA of mean group differences

· Easy to use Templates for creating New Projects and saving details for future Projects

· Pair-wise conditional estimation producing statistically consistent estimates

Barry Sheridan, www.rummlab.com.au

Short notes. Fisher, W.P., Jr., Karabatsos, G., Sheridan, B. … Rasch Measurement Transactions, 2000, 14:2 p. 647, 752-3.




Rasch-Related Resources: Rasch Measurement YouTube Channel
Rasch Measurement Transactions & Rasch Measurement research papers - free An Introduction to the Rasch Model with Examples in R (eRm, etc.), Debelak, Strobl, Zeigenfuse Rasch Measurement Theory Analysis in R, Wind, Hua Applying the Rasch Model in Social Sciences Using R, Lamprianou El modelo métrico de Rasch: Fundamentación, implementación e interpretación de la medida en ciencias sociales (Spanish Edition), Manuel González-Montesinos M.
Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch Rasch Models for Measurement, David Andrich Constructing Measures, Mark Wilson Best Test Design - free, Wright & Stone
Rating Scale Analysis - free, Wright & Masters
Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias Diseño de Mejores Pruebas - free, Spanish Best Test Design A Course in Rasch Measurement Theory, Andrich, Marais Rasch Models in Health, Christensen, Kreiner, Mesba Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen
Rasch Books and Publications: Winsteps and Facets
Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale Appliquer le modèle de Rasch: Défis et pistes de solution (Winsteps) E. Dionne, S. Béland
Introduction to Many-Facet Rasch Measurement (Facets), Thomas Eckes Rasch Models for Solving Measurement Problems (Facets), George Engelhard, Jr. & Jue Wang Statistical Analyses for Language Testers (Facets), Rita Green Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments (Facets), George Engelhard, Jr. & Stefanie Wind Aplicação do Modelo de Rasch (Português), de Bond, Trevor G., Fox, Christine M
Exploring Rating Scale Functioning for Survey Research (R, Facets), Stefanie Wind Rasch Measurement: Applications, Khine Winsteps Tutorials - free
Facets Tutorials - free
Many-Facet Rasch Measurement (Facets) - free, J.M. Linacre Fairness, Justice and Language Assessment (Winsteps, Facets), McNamara, Knoch, Fan

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