Contributions to the theory and construction of balanced arrays

DOI10.1214/aos/1176342877zbMath0297.62059OpenAlexW2076183749MaRDI QIDQ1214230

J. A. Rafter, Esther Seiden

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1214/aos/1176342877

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15)

Related Items (17)

FURTHER CONSTRUCTION OF BALANCED ARRAYS ⋮ Further investigations on balanced arrays ⋮ On the maximum number of constraints for s-symbol balanced arrays of strength t ⋮ Cyclic orthogonal and balanced arrays ⋮ A-optimal partially balanced fractional \(2^{m_ 1+m_ 2}\) factorial designs of resolution V, with \(4\leq m_ 1+m_ 2\leq 6\) ⋮ Marginal proportional frequency arrays of order 2 ⋮ An extension method for balanced arrays ⋮ Generalized intersection patterns and two-symbol balanced arrays ⋮ Balanced arrays from quadratic functions ⋮ Mutually balanced nested designs ⋮ A note on an upper bound for the constraints of balancedarrays with strength t ⋮ Bounds on the number of constraints for balanced arrays of strength t ⋮ On existence and construction of balanced arrays ⋮ Some existence conditions for partially balanced arrays with 2 symbols ⋮ Characterization of singular balanced fractional s^mfactorial designs derivable from balanced arrays with maximum number of constraints ⋮ On arrays with some combinatorial structure ⋮ A construction of balanced arrays of strength t and some related incomplete block designs

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