منابع مشابه
Weighing Designs and Methods of Construction
Abstract: It is difficult to weigh the light objects by weighing balance accurately when measured individually. If several light objects are weighed in groups rather than individually then the precision of the estimates increases quite considerably. There are two types of balances one is chemical balance and other is spring balance. Spring balance is similar when only one pan of chemical balanc...
متن کاملNew orthogonal designs from weighing matrices
In this paper we show the existence of new orthogonal designs, based on a number of new weighing matrices of order 2n and weights 2n − 5 and 2n−9 constructed from two circulants. These new weighing matrices were constructed recently by establishing various patterns on the locations of the zeros in a potential solution, in conjunction with the power spectral density criterion. We also demonstrat...
متن کاملOptimality Aspects of Designs
1. Introduction Careful experimentation is an essential part of any problem of decision-making. An experiment is a device or means of getting an answer to the problem under consideration. In any sphere of scientific research, the general procedure that the experimenter has to adopt is to formulate the hypothesis according to the problem whose answer is to be sought for and then to verify the fo...
متن کاملSome Optimal Codes From Designs
The binary and ternary codes spanned by the rows of the point by block incidence matrices of some 2-designs and their complementary and orthogonal designs are studied. A new method is also introduced to study optimal codes.
متن کاملD-optimal weighing designs for four and five objects
For j = 4 and j = 5 and all d j, the maximum value of detXX , where X runs through all j d (0,1)-matrices, is determined along with a matrix X0 for which the maximum determinant is attained. In the theory of statistical designs, X0 is called a D-optimal design matrix. Design matrices that were previously thought to be D-optimal, are shown here to be D-optimal.
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1960
ISSN: 0003-4851
DOI: 10.1214/aoms/1177705664