$F$-Square and Orthogonal $F$-Squares Design: A Generalization of Latin Square and Orthogonal Latin Squares Design
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Publication:5618384
DOI10.1214/aoms/1177696703zbMath0215.33402OpenAlexW1995150243MaRDI QIDQ5618384
Publication date: 1970
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177696703
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Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order ⋮ A study of frequency cubes ⋮ Orthogonal F-rectangles, orthogonal arrays, and codes ⋮ Construction of asymmetrical orthogonal arrays having factors with a large non-prime power number of levels ⋮ Marginal proportional frequency arrays of order 2 ⋮ Nonisomorphic complete sets of orthogonal f-squares and hadamard matrices ⋮ Hamiltonian double Latin squares ⋮ A construction for generalized Hadamard matrices ⋮ Edge partitions of the complete symmetric directed graph and related designs ⋮ On the construction of orthogonal F-squares of order n from an orthogonal array (n,k,s,2) and an OL(s,t) set ⋮ QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY ⋮ Unnamed Item ⋮ Embedding cyclic Latin squares of order \(2^ n\) in a complete set of orthogonal F-squares ⋮ A generalization of sum composition: Self orthogonal latin square design with sub self orthogonal latin square designs ⋮ A conversation with Samad Hedayat ⋮ Nearly Optimal Orthogonally Blocked Designs for Four Mixture Components Based on F-Squares ⋮ On coloured constant composition designs ⋮ On a generalization of the Oberwolfach problem ⋮ Orthogonal hypercubes and related designs ⋮ Optimal orthogonal block designs for four-mixture components in two blocks based on F-squares for Becker's models and K-model ⋮ Optimal designs for treatment-control comparisons in the presence of two- way heterogeneity ⋮ Lattice square approach to construction of mutually orthogonal F-squares
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