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Some constructions of nested balanced equireplicate block designs

Shivani Rai, Shakti Banerjee, Sanpei Kageyama (2003)

Discussiones Mathematicae Probability and Statistics

arious methods of constructing nested ternary and quaternary efficiency balanced and variance balanced designs are proposed by applying some repetitions of treatments in all possible pairs of treatments. In these designs sub-blocks and super-blocks may form different p-ary designs, where sub-blocks have higher efficiency as compared to super-blocks, i.e., any two elementary treatment contrasts in the sub-blocks can be measured with higher efficiency than any two elementary contrasts in the super-block...

Some observations on the constructions of chemical balance weighing designs

Ratnakaram Nava Mohan, Bronisław Ceranka, Sanpei Kageyama (2001)

Discussiones Mathematicae Probability and Statistics

The construction of some optimum chemical balance weighing designs from affine μ-resolvable balanced incomplete block (BIB) designs are discussed in the light of a characterization theorem on the parameters of affine μ-resolvable BIB designs as given by Mohan and Kageyama (1982), for the sake of practical use of researchers who need some selective designs for the construction of chemical balance weighing designs.

Some remarks on experimental design

Marie Hušková, Jan Ámos Víšek, Dana Vorlíčková (1986)

Aplikace matematiky

The paper deals with the experimental design which is optimal in the following sense: it satisfies the cost requirements simultaneously with a satisfactory precision of estimates. The underlying regression model is quadratic. The estimates of unknown parameters of the model are explicitly derived.

Strange Design Points in Linear Regression

Andrej Pázman (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

We discuss, partly on examples, several intuitively unexpected results in a standard linear regression model. We demonstrate that direct observations of the regression curve at a given point can not be substituted by observations at two very close neighboring points. On the opposite, we show that observations at two distant design points improve the variance of the estimator. In an experiment with correlated observations we show somewhat unexpected conditions under which a design point gives no...

Tamaño y frecuencia de muestreo en gráficos de control.

Carmen Capilla Romá, Rafael Romero Villafranca (1989)

Qüestiió

Se analiza la elección óptima del tamaño y frecuencia de muestreo en gráficos de medias. Asumiendo que el coste total del muestreo es proporcional al número total de unidades muestreadas, el procedimiento óptimo depende de la magnitud de la desviación respecto del nominal que se considere relevante, que a su vez está relacionada con la capacidad del proceso. Se obtiene que, en general, a medida que aumenta dicha capacidad es aconsejable reducir el tamaño de la muestra e incrementar la frecuencia...

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

Zofia Hanusz (1999)

Qüestiió

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 and the second...

Currently displaying 161 – 180 of 191