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Showing 1 to 12 of 12 for “"balanced incomplete block designs"”.
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A characterization of the circularity of certain balanced incomplete block designs.
… We devote a chapter to the use of circular designs in coding theory. It is proven that these structures are not useful in the theory of error-correcting codes, since more efficient codes are known, for example the Reed-Muller codes. However, the theory developed in the earlier chapters does …
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Optimal Row-Column Designs for Correlated Errors and Nested Row-Column Designs for Uncorrelated Errors
… optimality conditions are derived separately for designs in the plane and on the torus using more general linear models than those considered elsewhere in the literature. Examples of universally optimum planar designs are given, and a method is developed for the construction of optimum and near …
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Combined intra- and inter-block analysis for factorials in incomplete block designs
… Kramer and Bradley on the use of factorials in incomplete block designs bas been extended to permit both the intra-block and combined intra- and inter-block analyses of factorials in balanced and partially balanced incomplete block designs. In particular, we have obtained a combined intra- and …
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Nearly Balanced and Resolvable Block Designs
… into subsets of more homogeneous units or <em>blocks</em> in order to isolate identifiable, unwanted, but unavoidable, variation in measurements made from the units. Given <em>v</em> treatments to compare, and having available <em>b</em> blocks of <em>k</em> experimental units each, the …
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Inter-block analysis of incomplete block designs
… the duality relationships of a large number of balanced and partially balanced incomplete block designs, certain ones have been found which lend themselves nicely to interblock analysis. Besides facilitating this analysis, these designs make possible the use of a new method for studying the …
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Optimality and Construction of Designs with Generalized Group Divisible Structure
… of v treatments to experimental units in b blocks of size k, paying special attention to settings for which equal replication of the treatments is not possible. The model is that of one way elimination of heterogeneity, in which the expectation of an observation on treatment <em>i</em> in …
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Delineamento experimental em blocos incompletos : estudo de casos particulares
… em famílias dos planos com repetições (BIBDR) - Balanced Incomplete Block Designs with Repeated Blocks (Planos em Blocos Incompletos Equilibrados com Repetições). A construção dos (BIBD) - Balanced Incomplete Block Designs com Repetições (BIBDR) é abordada como um Plano Otimal que proporciona …
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Bicircular Matroids with Circuits of at Most Two Sizes
Young in his paper titled, Matroid Designs in 1973, reports that Murty in his paper titled, Equicardinal Matroids and Finite Geometries in 1968, was the first to study matroids with all hyperplanes having the same size. Murty called such a matroid an ``Equicardinal Matroid''. Young renamed such a …
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Structures and properties of repeated measurement designs
… and properties of repeated measurement (RM) designs are investigated from different points of view, such as (i) balancedness or partial balancedness, (ii) construction versus estimation, (iii) underlying linear models, (iv) factorial treatment structure. In studying balanced repeated …
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Tópicos de planeamento de experiências : uma abordagem estatística, computacional e matemática
… Randomized Design. Also to consider, are the Block Designs, detailing the Balanced Incomplete Block Designs, and inside, the symmetrical one’s. Finally is described all the Designs based in Squares, such as Latin Squares, Graeco-Latin Squares and Youden Squares, presenting their relations. The …
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Tests of significance for experiments involving paired comparisons
… above may be extended to ranking experiments in balanced incomplete block designs with more than two treatments per block. To test the null hypothesis of no interaction between preference probabilities and repetitions, against its general alternative, a test method based on the theory of X² …