Methods for Binary Multidimensional Scaling

Using Multidimensional Scaling for Assessment Economic Development of Regions

Addressing socio-economic development issues are strategic and most important for any country. Multidimensional statistical analysis methods, including comprehensive index assessment, have been successfully used to address this challenge, but they donchr('39')t cover all aspects of development, leaving some gap in the development of multidimensional metrics. The purpose of the study is to const...

Binary Multidimensional Scaling

Compressed Liquid Densities for Binary Mixtures at Temperatures from 280- 440K at Pressures up to 200 MPa

A method for predicting liquid densities of binary mixtures from heat of vaporization and liquid densityat boiling point temperature (ΔHvap and n b ρ ) as scaling constants, is presented. B2(T) follows a promisingcorresponding-states principle. Calculation of α(T) and b(T), the two other temperature-dependentconstants of the equation of state, are made possible by scaling. As a result ΔHvap and...

Multidimensional Scaling of Binary Dissimilarities: Direct and Derived Approaches.

Given a matrix of dissimilarities, it has been debated whether researchers should perform multidimensional scaling on this original matrix or on a new one derived by comparing rows in the original matrix. Careful comparison studies (Drasgow & Jones, 1979; Van der Kloot & Van Herk, 1991) in the context of sorting data indicated that most of the initial enthusiasm for the derivative approach was ...

Finite-Length Scaling for Gallager A

We consider LDPC codes, transmission over the binary symmetric channel (BSC), and decoding using Gallager’s algorithm A. For those ensembles whose threshold is determined by the behavior of the algorithm at the beginning of the decoding process we derive a scaling law. This scaling law has the same form as the scaling law which was established for the the case of transmission over the binary er...