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Optimal chemical balance weighing designs for v + 1 objects

Bronisław Ceranka, Małgorzata Graczyk (2003)

Kybernetika

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 chemical...

Optimum chemical balance weighing designs under the restriction on weighings

Bronisław Ceranka, Małgorzata Graczyk (2001)

Discussiones Mathematicae Probability and Statistics

The paper deals with the problem of estimating individual weights of objects, using a chemical balance weighing design under the restriction on the number in which each object is weighed. A lower bound for the variance of each of the estimated weights from this chemical balance weighing design is obtained and a necessary and sufficient condition for this lower bound to be attained is given. The incidence matrix of ternary balanced block design is used to construct optimum chemical balance weighing...

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...

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...

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