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A Method of Determining Unbiased Distribution in the Latin Square

Published online by Cambridge University Press:  01 January 2025

Benjamin S. Alimena
Benjamin S. Alimena*
Affiliation:
Manhattan College
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Abstract

The paper describes a method of constructing Latin-square designs in which treatment sequences are unbiased with regard to serial order as well as position of treatment. The procedure is useful for those Latin squares in which the number of cells in each column (or row) is an even number, which, when written in ascending and descending series, contain corresponding ordered numbers prime to each other. Such numbers are 2, 4, 6, 10, 12, 16, 18, 22, 28, 30, 36, etc.

Type
Original Paper
Information
Psychometrika , Volume 27 , Issue 3 , September 1962 , pp. 315 - 317
Copyright
Copyright © 1962 The Psychometric Society

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References

Bradley, J. V. Complete counterbalancing of immediate sequential effects in a Latin square design. J. Amer. statist. Ass., 1958, 53, 525–528.CrossRefGoogle Scholar
Bugelski, B. R. A note on Grant's discussion of the Latin square principle in the design of experiments. Psychol. Bull., 1949, 46, 49–50.CrossRefGoogle Scholar
Cochran, W. G. and Cox, G. Experimental designs. New York: Wiley, 1950, 103–105.Google Scholar
Edwards, A. L. Experimental design in psychological research. New York: Rinehart, 1950, 306–310.Google Scholar