Correspondence Analysis as a Multidimensional Scaling Technique for Nonfrequency Similarity Matrices

Author(s):  
A. Kimball Romney ◽  
Carmella C. Moore ◽  
Timothy J. Brazill
2019 ◽  
Vol 22 (1) ◽  
pp. 11-26 ◽  
Author(s):  
J. A. Tenreiro Machado ◽  
António M. Lopes

Abstract This paper analyses the citation profiles (CP) of 130 researchers in fractional calculus. In a first phase, the Canberra distance is used to measure the similarities between the researchers’ CP, and the multidimensional scaling technique (MDS) is adopted for processing and visualizing the information. In a second phase, the gamma probability distribution is used to fit the normalized CP and the gamma parameters are used to characterize the researchers. The MDS results and the gamma distribution parameters are represented graphically in 2- and 3-dimensional locus depicting the relative positions of the researchers.


2003 ◽  
Vol 20 (6) ◽  
pp. 707-728 ◽  
Author(s):  
A. Michele Lease ◽  
Richard M. McFall ◽  
Teresa A. Treat ◽  
Richard J. Viken

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 669 ◽  
Author(s):  
António M. Lopes ◽  
J. A. Tenreiro Machado

This paper considers several distinct mathematical and computational tools, namely complexity, dimensionality-reduction, clustering, and visualization techniques, for characterizing music. Digital representations of musical works of four artists are analyzed by means of distinct indices and visualized using the multidimensional scaling technique. The results are then correlated with the artists’ musical production. The patterns found in the data demonstrate the effectiveness of the approach for assessing the complexity of musical information.


Languages ◽  
2019 ◽  
Vol 4 (2) ◽  
pp. 29
Author(s):  
Josefa Dorta ◽  
María González Rodríguez

Traditional linguistic geography has not dealt with issues relating to the prosodic study of languages and linguistic varieties. The international project AMPER (Atlas Multimédia Prosodique de l’Espace Roman) achieves a key milestone in this area by studying the prosody of Romance languages and varieties in order to disseminate research outcomes in the form of interactive online atlases. Using prosodic data from a wide corpus of declarative and interrogative sentences, obtained from a range of informants from the seven Canary Islands (AMPERCan), a dialectometric study was carried out with a tool especially designed within the framework of AMPER. Correlation values, dendrograms as well as multivariate analysis by means of the multidimensional scaling technique (MDS), have enabled us to establish relationships of close prosodic proximity among the Canary Islands.


2019 ◽  
Vol 2 ◽  
pp. 175-198
Author(s):  
Adrian Gorgosz

The purpose of the article is to analyse the cases of contestation of decisions in the Council of the European Union during voting on legislative acts in the ordinary legislative procedure, in the period 2009–2014. In the first step, two research hypotheses were delineated. The first one assumed the dominance of the coalition culture in voting, the second one assumed the opposite, the dominance of the culture of consensus. In addition, two further hypotheses were delineated which assumed conflicts in the European Union between the countries of the north and south and between the “old” vs. “new” Union. In order to verify the hypotheses, a multidimensional scaling technique was applied. Empirical analysis confirmed that the dominant culture of voting is the culture of consensus. Despite this, several countries strongly emphasised their separate positions, trying to form coalitions. Moreover, conflicts between the north and south Europe and the “new” and “old” Union were not confirmed.


1977 ◽  
Vol 21 (4) ◽  
pp. 349-352
Author(s):  
Blake L. Wattenbarger

This paper reports a study that was conducted to select 3 or 4 tone signals from a set of 16 related signals with the criterion that the chosen signals sound as much alike as possible. The signals were required to be different for machine recognition purposes, but should sound alike to people to avoid possible confusion. The study employed a multidimensional scaling technique called INDSCAL to assess the similarity relationships among the 16 candidate signals. Twenty-two subjects provided similarity estimates on a 7-point scale for all possible pairs of signals. A 3-dimensional INDSCAL solution was found to describe the data adequately, and the required signals were chosen on the basis of their clustering in this space. The study demonstrates the use of multidimensional scaling to solve practical problems.


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