
Accession Number : AD0771012
Title : Further Contributions to the Theory of FSquares Design,
Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
Personal Author(s) : Hedayat,A. ; Raghavaro,D. ; Seiden,E.
Report Date : OCT 1973
Pagination or Media Count : 10
Abstract : The main purpose of the paper is to obtain the best possible bound on the number of orthogonal Fsquares with certain parameters and to give a construction method for some families of orthogonal Fsquares which achieve this bound. Also, presented is a set of four mutually orthogonal Fsquares of order 6 based on three symbols. This later design is important because there is no orthogonal Latin squares of order 6 which could be used for this purpose as has been pointed out by Hedayat and Seiden (1970). The authors indicate a method of composing orthogonal Fsquares. It is shown under what condition a set of orthogonal Fsquares can be transformed into an orthogonal array, a structure which is useful for factorial experimentation. (Modified author abstract)
Descriptors : *Combinatorial analysis, *Experimental design, Algebra, Matrices(Mathematics), Inequalities, Theorems
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE