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The Essential Process in a Family of Measurement Models

Published online by Cambridge University Press:  01 January 2025

Geofferey N. Masters  and
Benjamin D. Wright
Geofferey N. Masters*
Affiliation:
University of Melbourne
Benjamin D. Wright
Affiliation:
University of Chicago
*
Requests for reprints should be sent to Geofferey N. Masters, Centre for Study of Higher Education, University of Melbourne, Parkville 3052, Victoria, AUSTRALIA.
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Abstract

Five members of the Rasch family of latent trait models which have appeared more or less independently in the literature are brought together and identified as one model. In addition to sharing the distinguishing characteristic of the dichotomous Rasch model—separable person and item parameters and hence sufficient statistics—all five models share a common algebraic form and have as their basic element the fundamental process defined by Rasch's simple logistic expression. In these models, the sufficient statistics for person and item parameters are counts of events constructed to be indicative of the variable being measured, and the measures they enable are ‘fundamental’.

Keywords

Rasch modellatent traitsimple logisticfundamental measurement
Type
Original Paper
Information
Psychometrika , Volume 49 , Issue 4 , December 1984 , pp. 529 - 544
Copyright
Copyright © 1984 The Psychometric Society

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