Type S Designs with Nested Rows and Columns.
S. Gupta, S. Kageyama (1991)
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Displaying similar documents to “A Note on the E-Optimality of Block Designs.”
Type S Designs with Nested Rows and Columns.
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A unified terminology in block designs
Tadeusz Caliński, Sanpei Kageyama (2004)
Discussiones Mathematicae Probability and Statistics
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Partially efficiency balanced (PEB) designs with m efficiency classes have been defined by Puri and Nigam [15] as block designs which have simple analysis and, if properly used, allow the important contrasts to be estimated with desired efficiency. Such designs can be made available in varying replications and/or unequal block sizes. However, any block design is a PEB design with m efficiency classes for some m < v, where v is the number of treatments in the design. So the term "PEB"...
X −1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs
Ryszard Walkowiak (2015)
Biometrical Letters
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This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h−1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X −1-balanced.