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The efficiency of blocking in incomplete block designs
Biometrika, 19601. Summary. Procedures for estimating the relative efficiency of certain designs have been considered by Yates (1935), Cochran & Cox (1957), and Kempthorne (1952, 1955). In this paper the efficiency of blocking in general is considered. A general formula for any incomplete block design of fairly general form is obtained. 2. Introduction.
Folks, John Leroy, Kempthorne, Oscar
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Canadian Journal of Mathematics, 1961
In this paper, we define and begin the study of an extensive family of simple n-person games based in a natural way on block designs, and hitherto for the most part unexplored except for the finite projective games (13). They should serve at least as a proving ground for conjectures about simple games.
Hoffman, A. J., Richardson, Moses
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In this paper, we define and begin the study of an extensive family of simple n-person games based in a natural way on block designs, and hitherto for the most part unexplored except for the finite projective games (13). They should serve at least as a proving ground for conjectures about simple games.
Hoffman, A. J., Richardson, Moses
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, 2020 Block designs are a type of combinatorial structures that can be used to model many different types of problems ranging from experimental design to computer software testing.
N. R. Mohan Madhyastha +2 more
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Blocking with Rotatable Designs
Calcutta Statistical Association Bulletin, 1991The article considers the effect of blocking on the rotatability property of a response surface design. It is shown that unless the blocks are chosen in a particular manner, a rotatable design may become nonrotatable under blocking. If, however, the rotatable design also blocks orthogonally, then rotatability is preserved.
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Calcutta Statistical Association Bulletin, 2002
Split block designs were introduced by Ozawa et al (2000) who established the optimality of the balanced split block designs for the estimation of the interaction effect. Here, we establish the same separately for each of the four strata and under fewer restrictions on the class of competing designs.
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Split block designs were introduced by Ozawa et al (2000) who established the optimality of the balanced split block designs for the estimation of the interaction effect. Here, we establish the same separately for each of the four strata and under fewer restrictions on the class of competing designs.
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‘The effciency of block designs in general’
Biometrika, 1970SUMMARY By the efficiency of a design is meant its precision relative to that of an orthogonal design with the same treatment replications. The general case of orthogonal block designs is first studied, because it provides the basis of comparison. An expression is then given for the efficiency of a general block design with respect to the estimation of
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On the A-optimality of block designs
Journal of Statistical Planning and Inference, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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