Cluster analysis and Q-analysis

doi:10.1016/S0020-7373(84)80031-0

International Journal of Man-Machine Studies

Volume 20, Issue 6, June 1984, Pages 595-604

https://doi.org/10.1016/S0020-7373(84)80031-0 Get rights and content

Abstract

In this article the correspondence between a characteristic algorithm of Q-analysis and the single link method of cluster analysis is noted. Implications of the correspondence are discussed and more important differences between the approaches of Q-analysis and of cluster analysis are brought out.

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Identifying the underlying structure and dynamic interactions in a voting network
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Citation Excerpt :
Therefore, we have studied the formation of clusters or voting groups according to their dynamic structures. Macgill [29] suggests Q-Analysis as a technique that can be used to find the different groups which are formed on a network. However, his approach is focused just on a static structure.
We analyse the structure and behaviour of a specific voting network using a dynamic structure-based methodology which draws on Q-Analysis and social network theory. Our empirical focus is on the Eurovision Song Contest over a period of 20 years. For a multicultural contest of this kind, one of the key questions is how the quality of a song is judged and how voting groups emerge. We investigate structures that may identify the winner based purely on the topology of the network. This provides a basic framework to identify what the characteristics associated with becoming a winner are, and may help to establish a homogenous criterion for subjective measures such as quality. Further, we measure the importance of voting cliques, and present a dynamic model based on a changing multidimensional measure of connectivity in order to reveal the formation of emerging community structure within the contest. Finally, we study the dynamic behaviour exhibited by the network in order to understand the clustering of voting preferences and the relationship between local and global properties.
Q-analysis for modeling and decision making
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This paper provides an overview of existing and potential applications of a system-theoretic approach called Q-analysis, using the examples of design and analysis of expert systems in medical image processing and analysis: namely the organization of a histopathologic knowledge base. Q-analysis is also applied to a multicriterion decision-making (MCDM) problem using a method called multicriterion Q-analysis (MCQA). A brief discussion of the advantages and limitations of Q-analysis is given, with suggestions for further applications.
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The anchor-point hypothesis of spatial cognition, according to which primary nodes or reference points anchor distinct regions in cognitive space, brings together certain frequently reported apparent properties of mental maps: the regionalization and hierarchical organization of cognitive space, and the active role of salient cues in structuring spatial cognition. After a brief overview of the state of the art in cognitive mapping research, the anchor-point hypothesis is first explored conceptually, and then one particular version of it, the ‘tectonic plates’ hypothesis, is made operational. For that second part of the study, cognitive configurations derived from five subjects selected from a larger sample taken in Goleta, California are analyzed using three different methods, and features transcending any method-specific biases are identified. Although not entirely unambiguous, these first results seem encouraging and warrant further research in this direction.
Stars, maximal rectangles, lattices: a new perspective on Q-analysis
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A new star-hub structure of binary relations is discussed in the context of the methodology of Q-analysis, and parallels are drawn with maximal rectangles and Galois lattice structures. Although these structures generalize those of Q-analysis, there remain problems due to the very large number of star-hub pairs generated by fairly modest data sets. It is argued that more theory is necessary, and some possibilities are discussed. It is suggested that the criteria for defining new structures will come most fruitfully from the study of the relationship between backcloth and the ways it constrains traffic. Finally, it is argued that these combinatorial structures are still not sufficient to fully describe complex systems and that for this one needs to consider polyhedra in the context of N-ary relations.
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Cluster analysis and Q-analysis

Abstract

International Journal of Man-Machine Studies

Pinkava. International Journal of Man-Machine Studies

International Journal of Man-Machine Studies

International Journal of Man-Machine Studies

A comparative study of the multivariate structure of towns

Environment and Planning B

An introduction to Q-analysis

Q-analysis

Graph theory and Q-analysis

Environment and Planning B