Psychometrika

, Volume 22, Issue 1, pp 1–15 | Cite as

New analysis of variance formulas for treating data from mutually paired subjects

  • Joseph Lev
  • Elaine F. Kinder
Article
Received:
Revised:

Abstract

The experimental design considered in this paper is one in which each of a group of several subjects is observed in the presence of each of the other subjects of the group, the entire set of possible pairings being repeated or replicated on several occasions. Analysis of variance formulas are described for this somewhat unusual design. Both the model of constants and mixed model are considered. Reliability formulas growing out of the analysis of variance calculations are developed.

Keywords

Public Policy Statistical Theory Variance Calculation Variance Formula Paired Subject 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Kempthorne, O. The design and analysis of experiments. New York: Wiley, 1952.Google Scholar
  2. [2]
    Kolodzieczyk, S. On an important class of statistical hypotheses.Biometrika, 1935,27, 161–190.Google Scholar
  3. [3]
    Quenouille, H. M. Design and analysis of experiments. New York: Hafner, 1952.Google Scholar
  4. [4]
    Walker, H. M. and Lev, J. Statistical inference. New York: Holt, 1953.Google Scholar
  5. [5]
    Wilks, S. S. Mathematical statistics. Princeton: Princeton Univ. Press, 1944.Google Scholar

Copyright information

© Psychometric Society 1957

Authors and Affiliations

  • Joseph Lev
    • 1
    • 2
  • Elaine F. Kinder
    • 1
    • 2
  1. 1.Yerkes Laboratories of Primate BiologyOrange Park
  2. 2.New York State Department of Civil ServiceUSA

Personalised recommendations