Psychometrika

, Volume 9, Issue 2, pp 107–144 | Cite as

Factorial design in the determination of differential limen values

  • Palmer O. Johnson
  • Fei Tsao
Article

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.

Keywords

Public Policy Factorial Design Statistical Theory Mathematical Formulation Specific Problem 

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References

  1. 1.
    Camp, Burton H. Some recent advances in mathematical statistics, I.The Annals of Mathematical Statistics, 1942,13, 62–73.Google Scholar
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    Jackson, Robert W. B. Application of the analyses of variance and covariance method to educational problems. Bulletin No. 11, Department of Educational Research. University of Toronto, Toronto, Canada. 1940. Pp. 103.Google Scholar
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    Johnson, Palmer O., and Neyman, J. Tests of certain linear hypotheses and their application to some educational problems.Statistical Research Memoirs, Department of Applied Statistics, University College, London, W.C.I., 1936,1, 57–93.Google Scholar
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    Kolodziejczyk, St. On an important class of statistical hypotheses.Biometrica, 1935,27, 161–190.Google Scholar

Copyright information

© Psychometric Society 1944

Authors and Affiliations

  • Palmer O. Johnson
    • 1
  • Fei Tsao
    • 1
  1. 1.University of MinnesotaUSA

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