Raw Score-to-Measure (Scaled Score) Tables

Question: Is it good practice for me to supply a lookup table or Excel sheet to convert sum scores into the measure scores so that users get their results on an interval scale? Is there a good example to cite?

Answer: Many publishers and authors supply a "raw score to scale score" conversion chart. It is convenient for the users, and also allows different versions and revisions of the instrument to continue to generate comparable scale scores. Here is an example showing raw scores and their Rasch logit equivalents:

Hsueh I-P., Wang W.-C., Sheu C.-F., and Hsieh C.-L. (2004) Rasch Analysis of Combining Two Indices to Assess Comprehensive ADL Function in Stroke Patients. Stroke, 35(3): 721 - 726.

But it is more useful to publish a transformation of Rasch logits, not the logits themselves. Transform the logits such that all Rasch "scores" are reported as positive integers. Here is a rescaled example. You can note the exact logit transformation as a footnote to the Table if it will be meaningful to your readers.

Ohio Department of Education, Office of Assessment


Raw Score-to-Measure (Scaled Score) Tables. … Rasch Measurement Transactions, 2007, 21:1 p. 1095



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
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