Weighing Designs and Methods of Construction

نویسندگان

  • RAM KUMAR CHOUDHARY
  • Krishan Lal
چکیده

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 balance is used for weighing. Accordingly, design used for weighing is called chemical balance (two pans) weighing design and spring balance (one pan) weighing design. Constructions of some optimal weighing designs, which minimize the variance of the estimated weight, using Hadamard matrices, balanced incomplete block designs and other methods are discussed under different situations.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An infinite family of skew weighing matrices

We verify the skew weighing matrix conjecture for orders 2t.7, t ~ 3 a positive integer, by showing that orthogonal (1, k) exist for all t k = 0, 1, .... , 2.7 1 in order 2t.7 We discuss the construction of orthogonal designs using circulant matrices. In particular we construct designs in orders 20 and 28. The weighing matrix conjecture is verified for order 60. Disciplines Physical Sciences an...

متن کامل

New infinite families of orthogonal designs constructed from complementary sequences

In this paper, we present new infinite families of three and four variable orthogonal designs based on several constructions derived from complementary sequences. The above method leads to the construction of many classes of orthogonal designs. In addition, we obtain new infinite families of weighing matrices constructed by complementary sequences, such as W (144 + 4s, 144) and W (224 + 4s, 196...

متن کامل

New classes of orthogonal designs and weighing matrices derived from near normal sequences

Directed sequences have been recently introduced and used for constructing new orthogonal designs. The construction is achieved by multiplying the length and type of suitable compatible sequences. In this paper we show that near normal sequences of length n = 4m + 1 can be used to construct four directed sequences of lengths 2m+1, 2m+1, 2m, 2m and type (4m+1, 4m+1) = (n, n) with zero NPAF. The ...

متن کامل

On the construction of n-dimensional designs from 2-dimensional designs

design, then = (f(hI + h2 + ... + hn») is a proper n-dimensional design. A difficulty with this construction that it can applied to small number of (2dimensional) designs. This paper develm)s a very general technique for generating a proper n -dimensional design from 2-dimensional designs. Indeed, it is shown that Drake's generalised Hadamard matrices, Berman's nega-cyclic and (i)-cyclic (gener...

متن کامل

New weighing matrices constructed from two circulant submatrices

A number of new weighing matrices constructed from two circulants and via a direct sum construction are presented, thus resolving several open cases for weighing matrices as these are listed in the second edition of the Handbook of Combinatorial Designs.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008