Further contributions to the theory of F-squares design

DOI10.1214/aos/1176343068zbMath0304.62010OpenAlexW2029329297MaRDI QIDQ1216910

A. S. Hedayat, Damaraju Raghavarao, Esther Seiden

Publication date: 1975

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176343068

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (21)

\(d\)-dimensional hypercubes and the Euler and MacNeish conjectures ⋮ Balanced diagonals in frequency squares ⋮ Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order ⋮ Orthogonal F-rectangles, orthogonal arrays, and codes ⋮ On difference matrices, transversal designs, resolvable transversal designs and large sets of mutually orthogonal F-squares ⋮ Marginal proportional frequency arrays of order 2 ⋮ Maximal sets of mutually orthogonal frequency squares ⋮ Some new results on mutually orthogonal frequency squares ⋮ Mutually orthogonal frequency rectangles ⋮ Row‐column factorial designs with multiple levels ⋮ Hamiltonian double Latin squares ⋮ On the construction of orthogonal F-squares of order n from an orthogonal array (n,k,s,2) and an OL(s,t) set ⋮ Generalizations of Bose's equivalence between complete sets of mutually orthogonal Latin squares and affine planes ⋮ Embedding cyclic Latin squares of order \(2^ n\) in a complete set of orthogonal F-squares ⋮ The geometry of frequency squares ⋮ On coloured constant composition designs ⋮ Mutually orthogonal binary frequency squares ⋮ Orthogonal hypercubes and related designs ⋮ Pairwise orthogonal F-rectangle designs ⋮ Lattice square approach to construction of mutually orthogonal F-squares ⋮ A Scientific Tour on Orthogonal Arrays

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