A combinatorial theorem for a class of residual treatment effects designs

Gh. Mashouri, M. N. Vartak and M. L. Aggarwal

Statistics & Probability Letters, 1993, vol. 17, issue 2, 123-125

Abstract: In this paper a combinatorial theorem for a class of residual treatment effects designs is proved. It is assumed that the number of treatments of a design in this class is a prime or a prime power. A method of constructions of the class of designs under consideration is given in detail. The theorem presented here gives complete information on the frequencies of occurrences of ordered pairs of treatments among various types of ordered pairs of treatments arising from the sequences of the design. The proof of the theorem is based on the properties of symmetrically repeated difference sets.

Keywords: Combinatorially; balanced; design; difference; sets; residual; treatment; effects; Galios; field (search for similar items in EconPapers)
Date: 1993
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