Rasch Fit and Serendipity

Kathy Sierra, author of the Creating Passionate Users blog at headrush.typepad.com displays this provocative Figure © 2007:

Kathy explains that, while we need predictability, we also benefit from some degree of randomness in our lives. This Figure has obvious implications for classroom management and curriculum development. Encourage an element of surprise within a stable environment.

This concept exactly matches Rasch fit statistics. Let us revise Kathy's Figure:

The essential idea behind putting many items on a test is that we learn something new from each response. That new component must neither monotonously repeat nor seriously contradict what we already know about the person and the item who interacted to generate the response.

Rasch Fit and Serendipity, Linacre J.M. … Rasch Measurement Transactions, 2007, 20:4 p. 1086

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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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