Displaying similar documents to “Factorial experimental designs and generalized linear models.”

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.

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J. López-Fidalgo (2009)

Boletín de Estadística e Investigación Operativa. BEIO

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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.

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...

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.

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...

How the design of an experiment influences the nonsensitiveness regions in models with variance components

Lubomír Kubáček, Ludmila Kubáčková, Eva Tesaříková, Jaroslav Marek (1998)

Applications of Mathematics

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Nonsensitiveness regions for estimators of linear functions, for confidence ellipsoids, for the level of a test of a linear hypothesis on parameters and for the value of the power function are investigated in a linear model with variance components. The influence of the design of an experiment on the nonsensitiveness regions mentioned is numerically demonstrated and discussed on an example.

The relative potency of two preparations applied in the supplemented block design with multivariate responses.

Zofia Hanusz (1999)

Qüestiió

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The method of point and interval estimation of the relative potency of two preparations: Standard and Test in the multivariate case is presented. General formulae for testing the hypotheses about the parallelism of regression lines and the relative potency have been adopted to experiments in which doses of preparations are applied in the supplemented block designs. The designs of this kind, with two groups of treatments, the first group comprising the doses of the Standard preparation...