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Reliability Formulas for Noncompleted or Speeded Tests

Published online by Cambridge University Press:  01 January 2025

Louis Guttman
Louis Guttman*
Affiliation:
The Israel Institute of Applied Social Research
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Abstract

New formulas are developed to give lower bounds to the reliability of a test, whether or not all respondents attempt all items. The formulas apply in particular, then, to completed tests, pure speed tests, pure power tests, and any mixture of speed and power. For the case of completed tests, the formulas give the same answer as certain standard ones; for noncompleted tests the formulas give a correct answer where previous standard formulas are inappropriate. The formulas hold both in the sense of retest reliability and of parallel tests.

Type
Original Paper
Information
Psychometrika , Volume 20 , Issue 2 , June 1955 , pp. 113 - 124
Copyright
Copyright © 1955 The Psychometric Society

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Footnotes

*

This research was facilitated by an uncommitted grant-in-aid to the writer from the Behavioral Sciences Division of the Ford Foundation.

References

Cronbach, L. J., and Warrington, W. G. Time-limit tests: estimating their reliability and degree of speeding. Psychometrika, 1951, 16, 167–187CrossRefGoogle ScholarPubMed
Guttman, L. A basis for analyzing test-retest reliability. Psychometrika, 1945, 10, 255–282CrossRefGoogle ScholarPubMed
Guttman, L. Reliability formulas that do not assume experimental independence. Psychometrika, 1953, 18, 225–239CrossRefGoogle Scholar
Guttman, L. A new approach to factor analysis: the radex. In Lazarsfeld, et al., Mathematical thinking in the social sciences. The Free Press, 1954.Google Scholar