Hostname: page-component-7b7567c8c-tnzcf Total loading time: 0 Render date: 2026-11-14T08:48:53.235Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on the Neyman-Johnson Technique

Published online by Cambridge University Press:  01 January 2025

Robert P. Abelson
Robert P. Abelson*
Affiliation:
Yale University
Get accessRights & Permissions [Opens in a new window]

Abstract

A statistical problem which frequently arises in educational and psychological experimentation is that of testing the significance of the difference of the mean scores of two groups on some criterion variable, where the differential effects of one or more variables which are correlated with the criterion must be statistically eliminated. The usual analytical technique for this type of problem is the analysis of covariance (9). The Neyman-Johnson technique (7) provides another, and substantially different, approach. A computational procedure is suggested here which utilizes the advantages of both techniques without an undue increase in computational labor. In addition, the Neyman-Johnson technique is generalized to the case of n predictor variables. Its application has heretofore been limited to a maximum of three predictor variables.

Information

Type
Original Paper
Information
Psychometrika , Volume 18 , Issue 3 , September 1953, pp. 213 - 218
Copyright
Copyright © 1953 The 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

*

This paper was written while the author was a Psychometric Fellow of the Educational Testing Service, Princeton, New Jersey.

References

Gulliksen, H., and Wilks, S. S. Regression tests for several samples. Psychometrika, 1950, 15, 91–114.CrossRefGoogle ScholarPubMed
Hansen, Carl W. Factors associated with successful achievement in problem solving in sixth grade arithmetic. J. educ. Res., 1944, 38, 111–118.CrossRefGoogle Scholar
Johnson, Donovan A. An experimental study of the effectiveness of films and film strips in teaching geometry. J. exp. Educ., 1949, 17, 363–372.CrossRefGoogle Scholar
Johnson, Harry C. The effect of instruction in mathematical vocabulary upon problem solving in arithmetic. Jour. educ. Res., 1944, 38, 97–110.CrossRefGoogle Scholar
Johnson, P. O., and Fay, L. The Neyman-Johnson technique, its theory and applications. Psychometrika, 1950, 15, 349–367.CrossRefGoogle Scholar
Johnson, P. O., and Hoyt, C. On determining three-dimensional regions of significance. J. exp. Educ., 1947, 15, 342–353.CrossRefGoogle Scholar
Johnson, P. O., and Neyman, J. Tests of certain linear hypotheses and their applications to some educational problems. Statistical research memoirs, 1936, 1, 57–93.Google Scholar
Osgood, W. F. , andGraustein, W. C. Plane and solid analytic geometry, New York: The Macmillan Company, 1920.Google Scholar
Snedecor, George W. Statistical methods 3rd Ed., Ames, Iowa: Iowa State Coll. Press, 1940.Google Scholar
Wilks, S. S. Mathematical statistics, Princeton, N. J.: Princeton Univ. Press, 1943.Google Scholar