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A Test Theory Model for Ordinal Measurements
Published online by Cambridge University Press: 01 January 2025
Abstract
A model is proposed for the description of ordinal test scores based on the definition of true score as expected rank. Derivations from the model are compared with results from clasiscal test theory as developed by Lord and Novick, in particular with respect to parallel tests and composites. An unbiased estimator of population true score from sample data is derived and its variance is shown to decrease with increasing sample size. Population reliability is shown to be analytically related to expected sample reliability, and methods of reliability estimation are discussed.
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- Original Paper
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- Copyright © 1975 The Psychometric Society
Footnotes
This investigation was supported in part by PHS traineeship and research grants, MH-08258 and MH-10006, from the National Institute of Mental Health, Public Health Service. Also partial support was received from the National Science Foundation science development grant GU-2059.
The authors are indebted to Dr. Amnon Rapoport for a thorough reading of this manuscript and for his many helpful suggestions.
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