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.
Similar content being viewed by others
References
Archer, E. J. Some Greco-Latin analysis of variance designs for learning studies.Psychol. Bull., 1952,49, 521–537.
Burt, C. and Lewis, B. Teaching backward readers.Brit. J. educ. Psychol., 1946,16, 116–132.
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.
Edwards, A. L. Experimental design in psychological research. New York: Rinehart, 1950.
Gourlay, N.F-test bias for experimental designs in educational research.Psychometrika, 1955,20, 227–248.
Grant, D. A. The Latin square principle in the design and analysis of psychological experiments.Psychol. Bull., 1948,45, 427–442.
Lucas, M. L. Bias in estimation of error in change-over trials with dairy cattle.J. agr. Sci., 1951,41, 146–148.
McNemar, Q. On the use of Latin squares in psychology.Psychol. Bull., 1951,48, 398–401.
Patterson, M. D. The analysis of change-over trials.J. agr. Sci., 1950,40, 375–380.
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.
Thomson, G. H. The use of the Latin square in designing educational experiments.Brit. J. educ. Psychol., 1941,11, 135–137.
Author information
Authors and Affiliations
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02289034