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Showing 1 to 20 of 33 for “"Incomplete block"”.
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Inter-block analysis of incomplete block designs
… 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 relative variability of the inter …
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A characterization of the circularity of certain balanced incomplete block designs.
When defining a structure to fulfill a set of axioms that are similar to those prescribed by Euclid, one must select a set of points and then define what is meant by a line and what is meant by a circle. When properly defined these labels will have properties which are similar to their counterparts …
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Two-group comparisons in the rank analysis of incomplete block designs
The purpose of this work was to investigate certain two-group comparisons within a paired comparison experimental design.
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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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Analysis of variance of a balanced incomplete block design with missing observations
… the resulting augmented data in a balanced incomplete block design. The estimates are obtained by Yates' procedure of minimizing the error sum of squares. Explicit formulae are obtained for all cases involving not more than two missing values and for several particular configurations of 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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Optimal Row-Column Designs for Correlated Errors and Nested Row-Column Designs for Uncorrelated Errors
… construction of balanced and partially balanced incomplete block designs with nested rows and columns are developed, from which many infinite series of designs are obtained. In particular, 149 balanced incomplete block designs with nested rows and columns are listed (80 appear to be new) for the …
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Cyclic Designs
Cyclic designs are incomplete block designs consisting of sets of blocks where in each set successive blocks are obtained in a cyclic manner from the first block of the set. It is convenient to label the objects (treatments) by the integers 0, 1, …, n-. Then if for a particular set the first block …
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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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Structures and properties of repeated measurement designs
… other as they do, for example, for the balanced incomplete block design. Such designs are referred to as BRMl and BRMlE designs, respectively. It is shown that they are imbedded in a much larger class of RM designs. This class is based on generalized partially balanced incomplete block designs …
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A linear multigrid preconditioner for the solution of the Navier-Stokes equations using a discontinuous Galerkin discretization
… preconditioner is presented which solves a block tridiagonal system along lines of maximum coupling in the flow. An incomplete block-LU factorization (Block-ILU(O)) is also presented as a preconditioner, where the factorization is performed using a reordering of elements based upon the lines …
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Methods of sample size calculation for clinical trials
… to assess the power and required sample size for incomplete block crossover trial designs for Normal data. Following on from these the difference between calculated power for published trials and the actual results are investigated. As a result, the appropriateness of the standard equations to …
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Delineamento experimental em blocos incompletos : estudo de casos particulares
… 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 facilidade …
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Effect of protein source on milk composition of cows fed low fiber, high grain diets
… were randomly assigned to one of six diets in an incomplete block design. Each cow received two of six diets. Cows received the first diet for 32 d, then were offered a different diet for 32 d. received two of six diets. There were 5 observations per diet per period for a total of ten observations …
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Optimal Blocking for Three Treatments and BIBD Robustness - Two Problems in Design Optimality
… well known E and A criteria. A- and E-optimal block designs and row-column designs with three treatments are found, for any parameter set. E-optimal hyperrectangles with three treatments are also found, for any parameter set. Systems of distinct representatives theory is used for the …
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Changes in Aromatic Chemistry and Sensory Quality of Milk Due to Light Wavelength
… light oxidation flavor intensity with a balanced incomplete block multi-sample difference test using a ranking system and a trained panel. Packaging over-wraps limited the production of light oxidation flavor in milk over time but not to the same degree as the complete light block. Blocking all …
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Prescribed burning for vegetation management on the Blue Ridge Parkway
… for treatment. The experiment is a randomized incomplete block design. Four permanent transects were delineated in each unit for vegetation sampling. Four one-by-five meter plots were sampled on each transect for the species and number of root crowns in three height classes: less than one …
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Bicircular Matroids with Circuits of at Most Two Sizes
… specified parameters with results on balanced incomplete block designs. The dual of a matroid design is one in which all circuits have the same size. In 1971, Murty restricted his attention to binary matroids and was able to characterize all connected binary matroids having circuits of a single …
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Effects of Forestry Streamside Management Zones on Stream Water Quality, Channel Geometry, Soil Erosion, and Timber Management in the Virginia Piedmont
… were installed across four experimental blocks during harvest. Each of the 16 watersheds was subsequently site-prepared with prescribed burning and planted with loblolly pine (Pinus taeda). Within the watersheds, the established treatments were a 100-foot width with no thinning, a 50-foot …
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Estimation of genetic parameters in two maize recurrent selection programs
… the populations were evaluated in a randomized incomplete block (Reps/Sets) experiment grown in multiple environments;RRS in BSSS produced the most effective mean performance responses for grain yield in the populations per se. S2-progeny selection in BSSS did not perform up to theoretical …
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