RMT 16:3 Notations and Quotations

Reviewers Reviewed ....

"I would suggest rethinking your reliance on Rasch fit statistics as a criterion for item rejection .... In many cases, the best (most highly discriminating) items would be rejected if one relied on Winsteps' Infit and Outfit statistics."
NCME reviewer, as reported by Ryan Bowles

Conventional wisdom says "When items correlate highly with one another, those with the highest average correlations are the best items" (Jm Nunnally, Psychometric Theory, 1967, p. 261). But it is well-established that there can be too much of a good thing ... inter-item correlations can become too high.

"Other things being equal, interdependent items tend to decrease the reliability of a test. ... For the tendency becomes to answer [correctly] neither item or both items and thereby produces an effect equivalent to reducing the number of items in a test." (Percival M. Symonds, "Factors influencing test reliability", Journal of Educational Psychology, 1928, 19, 73-87. Italics his.)

Rasch Infit and Outfit statistics flag items to which responses are overly predictable, an indication that, in some way, they are interdependent with other items.

"The development of common constructs can also contribute to a cohesive knowledge core and further enhance theoretical understanding."
Michael J. Feuer, Lisa Towne, and Richard J. Shavelson (2002) Scientific Culture and Educational Research. Educational Researcher, 31, 8, 11

The growth of Rasch publications in medical literature according to Medline. Its logistic shape (predicted by the bibliographic analyses of Derek de Solla Price) suggests a ceiling of 500 articles per year, at which point Rasch will be regarded as routine. Courtesy of William Fisher.

RMT 16:3 Quotations and Notations. … 16:3 p.884ff.

RMT 16:3 Quotations and Notations. … Rasch Measurement Transactions, 2002, 16:3 p.884ff.

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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