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Some Relationships between the Information Function of IRT and the Signal/Noise Ratio and Reliability Coefficient of Classical Test Theory

Published online by Cambridge University Press:  01 January 2025

W. Alan Nicewander
W. Alan Nicewander*
Affiliation:
University of Oklahoma and Defense Manpower Data Center
*
Requests for reprints should be sent to W. Alan Nicewander, Department of Psychology, University of Oklahoma, Norman, OK 73019.
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Abstract

It is shown that IRTs information function for an item is functionally related to “local” versions of classical test theories' signal/noise ratio and reliability coefficient.

Keywords

test theoryIRTreliabilityinformation
Type
Notes And Comments
Information
Psychometrika , Volume 58 , Issue 1 , March 1993 , pp. 139 - 141
Copyright
Copyright © 1993 The Psychometric Society

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References

Cronbach, L. J., Gleser, , Goldine, C. (1964). The signal/noise ratio in the comparison of reliability coefficients. Educational and Psychological Measurement, 24, 467–480.CrossRefGoogle Scholar
Lord, F. M. (1980). Applications of item response theory to practical testing problems, Hillsdale, NJ: Lawrence Erlbaum.Google Scholar
Lord, F. M., Novick, M. R. (1968). Statistical theories of mental test scores, Reading, MA: Addison-Wesley.Google Scholar