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Departures from Binomial Assumptions in Short-Term Memory Models

Published online by Cambridge University Press:  01 January 2025

William Grams  and
Gerald van Belle
William Grams
Affiliation:
Florida State University
Gerald van Belle
Affiliation:
Florida State University
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Abstract

Experiments in short-term memory usually collect binary data and pool the results of several subjects. The observed pooled proportion of recall is then transformed by the angular transformation to stabilize the variance. In this paper the variance of the transformed proportion is derived and a simple test statistic is obtained to check the validity of the binomial model. Some numerical comparisons for selected poolings are made.

Type
Original Paper
Information
Psychometrika , Volume 37 , Issue 2 , June 1972 , pp. 137 - 141
Copyright
Copyright © 1972 The Psychometric Society

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Footnotes

*

Partial support was received during this research from Biometry Training Grant 5T1-GM-913 from the National Institute of General Medical Sciences. The authors express their appreciation to Dr. Darryl Bruce, Florida State University, for introduction to short-term memory models.

References

Cochran, W. G. Some methods for strengthening the common x2 tests. Biometrics, 1954, 16, 417–451CrossRefGoogle Scholar
Murdock, B. B. Jr. and Ogilvie, J. C. Binomial variability in short-term memory. Psychological Bulletin, 1968, 70, 256–260CrossRefGoogle ScholarPubMed