Hostname: page-component-7b7567c8c-fvjsw Total loading time: 0 Render date: 2026-11-15T06:58:42.297Z Has data issue: false hasContentIssue false
  • English
  • Français

A Graphical Test for the Significance of Differences between Frequencies from different Samples

Published online by Cambridge University Press:  01 January 2025

Donald W. Fiske and
Jack W. Dunlap
Donald W. Fiske
Affiliation:
USNR
Jack W. Dunlap
Affiliation:
USNR
Get accessRights & Permissions [Opens in a new window]

Abstract

For testing the significance of differences between frequencies from different samples, an ellipse can easily be constructed on the basis of a formula developed on the assumption that both observed samples are random samples from the same parent population and that the best estimate of the true proportion is the weighted mean proportion of the two samples. The ellipse provides a very rapid method for testing pairs of frequencies.

Information

Type
Original Paper
Information
Psychometrika , Volume 10 , Issue 3 , September 1945, pp. 225 - 229
Copyright
Copyright © 1945 Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

*

The opinions expressed in this paper are those of the authors and are not to be construed as those of the Navy Department.

References

Bolles, M. M., and Zubin, J. A graphic method for evaluating differences between frequencies. J. appl. Psychol., 1939, 23, 440–449.CrossRefGoogle Scholar
Burr, I. W., and Hobson, R. L. Significance of differences in proportions with constant sample frequencies in each pair. J. educ. Psychol., 1943, 34, 307–312.CrossRefGoogle Scholar
Daniel, C. Statistically significant differences in observed per cents. J. appl. Psychol., 1940, 24, 826–830.CrossRefGoogle Scholar
Dunlap, J. W., and Kurtz, A. K. Handbook of statistical nomographs, tables, and formulas, Yonkers-on-Hudson: World Book Co., 1932.Google Scholar
Edgerton, H. A., and Paterson, D. G. Table of standard errors and probable errors of percentages for varying numbers of cases. J. appl. Psychol., 1926, 10, 378–391.CrossRefGoogle Scholar
Mosier, C. I., and McQuntty, J. V. Methods of item validation and abacs for item-test correlation and critical ratio of upper-lower difference. Psychometrika, 1940, 5, 57–65.CrossRefGoogle Scholar
Yule, G. U., and Kendall, M. G. An introduction to the theory of statistics (pp. 360–360). London: Charles Griffin & Co., Ltd., 1937.Google Scholar
Zubin, J. Note on a transformation function for proportions and percentages. J. appl. Psychol., 1935, 19, 213–220.CrossRefGoogle Scholar
Zubin, J. Note on a graphic method for determining the significance of the difference between group frequencies. J. educ. Psychol., 1936, 27, 431–444.CrossRefGoogle Scholar
Zubin, J. Nomographs for determining the significance of the differences between the frequencies of events in two contrasted series or groups. J. Amer. statist. Ass., 1939, 34, 539–544.CrossRefGoogle Scholar