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An Empirical Study of the Normality and Independence of Errors of Measurement in Test Scores

Published online by Cambridge University Press:  01 January 2025

Frederic M. Lord*
Affiliation:
Educational Testing Service

Abstract

An empirical study of test scores shows the variance of the errors of measurement to be significantly associated with true score in each of four groups studied; it also shows the distribution of the errors of measurement to be significantly skewed in three of these four groups. The mathematical rationale underlying the statistical treatment is presented. Standard error formulas are given for making the necessary significance tests.

Type
Original Paper
Copyright
Copyright © 1960 The Psychometric Society

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Footnotes

*

This research was in part carried out under Contracts Nonr-2214(00) and Nonr-2752(00) with the Office of Naval Research, Department of the Navy.

References

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