Accession Number : AD0771012

Title :   Further Contributions to the Theory of F-Squares 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 F-squares with certain parameters and to give a construction method for some families of orthogonal F-squares which achieve this bound. Also, presented is a set of four mutually orthogonal F-squares 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 F-squares. It is shown under what condition a set of orthogonal F-squares 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