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,

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

Rasch Publications
Rasch Measurement Transactions (free, online) Rasch Measurement research papers (free, online) Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch Applying the Rasch Model 3rd. Ed., Bond & Fox Best Test Design, Wright & Stone
Rating Scale Analysis, Wright & Masters Introduction to Rasch Measurement, E. Smith & R. Smith Introduction to Many-Facet Rasch Measurement, Thomas Eckes Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, George Engelhard, Jr. Statistical Analyses for Language Testers, Rita Green
Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar Journal of Applied Measurement Rasch models for measurement, David Andrich Constructing Measures, Mark Wilson Rasch Analysis in the Human Sciences, Boone, Stave, Yale
in Spanish: Análisis de Rasch para todos, Agustín Tristán Mediciones, Posicionamientos y Diagnósticos Competitivos, Juan Ramón Oreja Rodríguez

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Coming Rasch-related Events
Oct. 6 - Nov. 3, 2023, Fri.-Fri. On-line workshop: Rasch Measurement - Core Topics (E. Smith, Facets),
Oct. 12, 2023, Thursday 5 to 7 pm Colombian timeOn-line workshop: Deconstruyendo el concepto de validez y Discusiones sobre estimaciones de confiabilidad SICAPSI (J. Escobar, C.Pardo)
June 12 - 14, 2024, Wed.-Fri. 1st Scandinavian Applied Measurement Conference, Kristianstad University, Kristianstad, Sweden
Aug. 9 - Sept. 6, 2024, Fri.-Fri. On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets),


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