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Extensions of the Significance Test for One-Parameter Signal Detection Hypotheses

Published online by Cambridge University Press:  01 January 2025

Leonard A. Marascuilo
Leonard A. Marascuilo*
Affiliation:
University of California, Berkeley
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Abstract

The basic models of signal detection theory involve the parametric measure, d′, generally interpreted as a detectability index. Given two observers, one might wish to know whether their detectability indices are equal or unequal. Gourevitch and Galanter (1967) proposed a large sample statistical test that could be used to test the hypothesis of equal d′ values. In this paper, their large two sample test is extended to a K-sample detection test. If the null hypothesis d1′ = d2′ = ... = dK′ is rejected, one can employ the post hoc confidence interval procedure described in this paper to locate possible statistically significant sources of variance and differences. In addition, it is shown how one can use the Gourevitch and Galanter statistics to test d′ = 0 for a single individual.

Type
Original Paper
Information
Psychometrika , Volume 35 , Issue 2 , June 1970 , pp. 237 - 243
Copyright
Copyright © 1970 The Psychometric Society

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Footnotes

*

This paper was written while the author was associated with the Institute of Human Learning at the University of California at Berkeley.

References

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