Hostname: page-component-68c7f8b79f-p5c6v Total loading time: 0 Render date: 2025-12-23T21:01:29.655Z Has data issue: false hasContentIssue false
  • English
  • Français

Factorial Design in the Determination of Differential Limen Values

Published online by Cambridge University Press:  01 January 2025

Palmer O. Johnson  and
Fei Tsao
Palmer O. Johnson
Affiliation:
University of Minnesota
Fei Tsao
Affiliation:
University of Minnesota
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper discusses the application of the principles of factorial design to an experiment in psychology. For the purpose of illustrating the principles, a simple experiment was designed dealing with the determination of the differential limen values of subjects for weights increasing at constant rates. The factorial design was of the type: 4 rates × 7 weights × 2 sexes × 2 sights × 2 dates. The appropriate statistical analysis for this type of design is the analysis of variance. The mathematical formulation of the problem was specified and the appropriate solution for the specific problem was obtained. Greater precision results from this type of design, in comparison with the traditional psychological experiment dealing with a single factor, in that measures are obtained of the effect of each of a number of factors together with their interactions.

Information

Type
Original Paper
Information
Psychometrika , Volume 9 , Issue 2 , June 1944 , pp. 107 - 144
Copyright
Copyright © 1944 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 is one of a number of studies on modern principles of experimental design. For the research grant to finance these studies, grateful acknowledgment is given to the Graduate School, the University of Minnesota.

†

Fisher, R. A. The design of experiments. London: Oliver and Boyd, 1934.

References

Camp, Burton H. Some recent advances in mathematical statistics, I. The Annals of Mathematical Statistics, 1942, 13, 62–73.CrossRefGoogle Scholar
Jackson, Robert W. B. Application of the analyses of variance and covariance method to educational problems. Bulletin No. 11 (pp. 103–103). Toronto, Canada: Department of Educational Research. University of Toronto, 1940.Google Scholar
Johnson, Palmer O., and Neyman, J. Tests of certain linear hypotheses and their application to some educational problems. Statistical Research Memoirs (pp. 57–93). London, W.C.I.: Department of Applied Statistics, University College, 1936.Google Scholar
Kolodziejczyk, St. On an important class of statistical hypotheses. Biometrica, 1935, 27, 161–190.CrossRefGoogle Scholar