Skip to main content
Log in

F-test bias for experimental designs of the Latin square type

  • Published:
Psychometrika Aims and scope Submit manuscript

Abstract

In an earlier paper, a method of analysis, due to Neyman and now known generally as variance component analysis, was used to examineF-test bias for experimental designs in education of the randomized block type. The same method is now applied to studyF-test bias for designs of the Latin square type. The results, in general, disprove the view that, for a valid application of Latin square techniques, it is necessary that all interactions are zero.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Archer, E. J. Some Greco-Latin analysis of variance designs for learning studies.Psychol. Bull., 1952,49, 521–537.

    Google Scholar 

  2. Burt, C. and Lewis, B. Teaching backward readers.Brit. J. educ. Psychol., 1946,16, 116–132.

    Google Scholar 

  3. Corrigan, R. E. and Brogden, W. J. The trigonometric relationship of precision and angle of linear pursuit-movements.Amer. J. Psychol., 1949,62, 90–98.

    Google Scholar 

  4. Edwards, A. L. Experimental design in psychological research. New York: Rinehart, 1950.

    Google Scholar 

  5. Gourlay, N.F-test bias for experimental designs in educational research.Psychometrika, 1955,20, 227–248.

    Google Scholar 

  6. Grant, D. A. The Latin square principle in the design and analysis of psychological experiments.Psychol. Bull., 1948,45, 427–442.

    Google Scholar 

  7. Lucas, M. L. Bias in estimation of error in change-over trials with dairy cattle.J. agr. Sci., 1951,41, 146–148.

    Google Scholar 

  8. McNemar, Q. On the use of Latin squares in psychology.Psychol. Bull., 1951,48, 398–401.

    Google Scholar 

  9. Patterson, M. D. The analysis of change-over trials.J. agr. Sci., 1950,40, 375–380.

    Google Scholar 

  10. Sutherland, J. An investigation into the prognostic value of certain arithmetic tests at the age of eleven plus.Brit. J. Psychol., Statist. Sect., 1952,5, 189–196.

    Google Scholar 

  11. Thomson, G. H. The use of the Latin square in designing educational experiments.Brit. J. educ. Psychol., 1941,11, 135–137.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gourlay, N. F-test bias for experimental designs of the Latin square type. Psychometrika 20, 273–287 (1955). https://doi.org/10.1007/BF02289034

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02289034

Keywords

Navigation