Semi-Latin squares

DOI10.1016/0378-3758(88)90107-3zbMath0639.62066OpenAlexW2046726547MaRDI QIDQ1099911

R. A. Bailey

Publication date: 1988

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(88)90107-3

zbMATH Keywords

inflationproductaugmentationsuperpositionconcurrenceTrojan squaresdoubly resolvable designsoptimal designsgeneral balancestrataEfficiency factorsgroup constructionmethods of constructing semi-Latin squaresrow-columns designssum composition

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Orthogonal arrays, Latin squares, Room squares (05B15) Statistical block designs (62K10)

Related Items (13)

Balanced semi-Latin rectangles: properties, existence and constructions for block size two ⋮ Uniform Semi-Latin Squares and Their Schur-Optimality ⋮ Enumeration of semi-Latin squares ⋮ Constructions for regular-graph semi-Latin rectangles with block size two ⋮ The efficiency and optimality characterization of certain six-Treatment incomplete-Block designs emanating from some quasi-Semi-Latin squares ⋮ An efficient semi-Latin square for twelve treatments in blocks of size two ⋮ Outline symmetric Latin squares ⋮ Generalized incomplete Trojan-type designs ⋮ Symmetric factorial designs in blocks ⋮ Multi-Latin squares ⋮ A new construction for efficient semi-Latin squares ⋮ Designs, Groups and Computing ⋮ History of the statistical design of agricultural experiments

Cites Work

• Balance in designed experiments with orthogonal block structure
• Generalized latin rectangles I: Construction and decomposition
• A unified theory for generalized cyclic designs
• Generalized latin rectangles. II: Embedding
• On the theory and application of sum composition of Latin squares and orthogonal Latin squares
• General balance and treatment permutations
• Analysis of Variance Models in Orthogonal Designs
• Valid randomization
• A Unified Approach to Design of Experiments
• On the Factorization of Finite Groups
• Cyclic Designs
• A general recursive procedure for analysis of variance
• Factorization of the residual operator and canonical decomposition of nonorthogonal factors in the analysis of variance
• The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance
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