Displaying similar documents to “The relative potency of two preparations applied in the supplemented block design with multivariate responses.”

Efficiency of cropping system designs via base contrast

U. Bronowicka-Mielniczuk, J. Mielniczuk, T. Przybysz (2000)

Applicationes Mathematicae

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The present article is a continuation of previous papers by the same authors devoted to the efficiency of crop rotation experiments. We focus on plans distinguished by the cyclical pattern of the incidence matrix. For practical reasons, we slightly modify the efficiency coefficient. The relation between the resulting efficiency coefficients is examined. In addition, we provide a background material on crop rotation experiments.

On a New Approach to the Analysis of Variance for Experiments with Orthogonal Block Structure.

Tadeusz Calinski, Idzi Siatkowski (2017)

Biometrical Letters

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Summary The main estimation and hypothesis testing results are presented for experiments conducted in proper block designs. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Because of this, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are introduced. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis...

Control treatments in designs with split units generated by Latin squares

Shinji Kuriki, Iwona Mejza, Kazuhiro Ozawa, Stanisław Mejza (2014)

Biometrical Letters

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This paper deals with two-factor experiments with split units. The whole plot treatments occur in a repeated Latin square, modified Latin square or Youden square, while subplot treatments occur in a block design within the whole plots. The statistical properties of the considered designs are examined. Special attention is paid to the case where one of the treatments is an individual control or an individual standard treatment. In addition, we give a brief overview of work on the design...

D-optimal cyclic two-dimensional block designs.

Jagdish N. Srivastava, A. M. Wijetunga (1983)

Trabajos de Estadística e Investigación Operativa

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In this paper we consider a class of incomplete block designs in which every block is two dimensional. Thus heterogeneity is removed not only between blocks, but also in two directions within each block. Such designs have been considered before in Srivastava (1977,1978). Here, we consider the class of cyclic designs of this type when the number of treatments ν is an odd number between 5 and 25, and present designs that are D-optimal within this class.

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.

Optimal chemical balance weighing designs for v + 1 objects

Bronisław Ceranka, Małgorzata Graczyk (2003)

Kybernetika

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The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for p = v objects implies the existence of an optimum chemical balance weighing design for p = v + 1 objects are given. The existence of an optimum chemical balance weighing design for p = v + 1 objects implies the existence of an optimum...

Factorial experimental designs and generalized linear models.

Simplice Dossou-Gbété, Walter Tinsson (2005)

SORT

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This paper deals with experimental designs adapted to a generalized linear model. We introduce a special link function for which the orthogonality of design matrix obtained under Gaussian assumption is preserved. We investigate by simulation some of its properties.

Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors

Bronisław Ceranka, Małgorzata Graczyk (2004)

Discussiones Mathematicae Probability and Statistics

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In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance - covariance matrix of errors under the restriction k₁ + k₂ < p, where k₁ and k₂ represent the number of objects placed on the right and left pans, respectively. We want all variances of estimated measurments to be equal and attaining their lower bound. We give a necessary and sufficient condition under which this lower...

The comparison of three models applied to the analysis of a three-factor trial on hybrid maize (Zea maysL.) cultivars

Piotr Szulc, Iwona Mejza, Katarzyna Ambroży-Deręgowska, Kamila Nowosad, Jan Bocianowski (2016)

Biometrical Letters

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The aim of this paper is to present the comparison of three models applied to the analysis of a one-year study of protein yield for two types of hybrid maize cultivars under different forms of nitrogen fertilizer and doses of magnesium. The field trial was conducted in 2010 at the Agricultural Experimental Station in Swadzim (Poland). The results obtained were analyzed in terms of three randomization-derived models of observations. Consideration was given to three mixed systems, which...

Parallel Class Intersection Matrices of Orthogonal Resolutions

Zhelezova, Stela (2008)

Serdica Journal of Computing

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This work was partially supported by the Bulgarian National Science Fund under Contract No MM 1405. Part of the results were announced at the Fifth International Workshop on Optimal Codes and Related Topics (OCRT), White Lagoon, June 2007, Bulgaria Parallel class intersection matrices (PCIMs) have been defined and used in [6], [14], [15] for the classification of resolvable designs with several parameter sets. Resolutions which have orthogonal resolutions (RORs) have been...

Some applications of weighing designs

Małgorzata Graczyk (2013)

Biometrical Letters

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The purpose of this paper is to apply results on weighing designs to the setting of 2m factorial designs. Using weighing designs, we give some proposals for experimental plans. Relevant counterexamples are indicated. Also the results of a simulation study on the existence of weighing designs are presented.