Optimal blocked main effects plans with nested rows and columns and related designs

DOI10.1214/aos/1032526963zbMath0862.62065OpenAlexW1975016612MaRDI QIDQ1816979

Nizam Uddin, John P. Morgan

Publication date: 1 December 1996

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

Full work available at URL: https://doi.org/10.1214/aos/1032526963

zbMATH Keywords

balanced incomplete block designorthogonalityorthogonal Latin squaresYouden designmain effects plansbottom-stratum universally optimal nested row and column designmultidimensional incomplete block designsmultistage experimentation

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (12)

Construction of main-effect plans orthogonal through the block factor ⋮ Some optimal block designs with nested rows and columns for research on alternative methods of limiting slug damage ⋮ Construction of systematic row-column designs with treatments unconfounded with the linear row \(\times\) columns and quadratic row \(\times\) columns interactions ⋮ Aspects of optimality of plans orthogonal through other factors and related multiway designs ⋮ Optimal main effect plans in nested row-column set-up of small size ⋮ Universally optimal structurally balanced row--column designs with some empty nodes ⋮ Inter-class orthogonal main effect plans for asymmetrical experiments ⋮ Nearly resolution V plans on blocks of small size ⋮ Existence of OBIBDs with \(k=4\) with and without nesting ⋮ Perfect Graeco-Latin balanced incomplete block designs (pergolas) ⋮ Properties of superimposed BIBDs ⋮ Optimal design with many blocking factors.

Cites Work

• Optimality and construction of nested row and column designs
• Orthogonal arrays with variable numbers of symbols
• Latin squares. New developments in the theory and applications
• Some contributions to the theory of multistage Youden design
• Enumerating \(4\times 5\) and \(5\times 6\) double Youden rectangles
• Double Youden rectangles -- an update with examples of size \(5\times 11\)
• A method for constructing balanced incomplete-block designs with nested rows and columns
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Some universally optimal row-column designs with empty nodes
• On Construction of Four-Dimensional Incomplete Block Designs
• Block designs with nested rows and columns
• Self-orthogonal latin squares of all orders 𝑛≠2,3,6
• Some Optimal Nested Row-Column Designs
• Some Examples of Multi-Dimensional Incomplete Block Designs
• The existence and construction of two families of designs for two successive experiments
• Some Families of Designs for Multistage Experiments: Mutually Balanced Youden Designs when the Number of Treatments is Prime Power or Twin Primes. I
• THE COMPLETELY ORTHOGONALIZED LATIN SQUARE
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