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Data analysis of asymmetric structures. Advanced approaches in computational statistics. (English) Zbl 1067.62006

Statistics: Textbooks and Monographs 179. New York, NY: Marcel Dekker (ISBN 0-8247-5398-4/hbk). vii, 258 p. (2005).
Researchers involved in data analysis are often interested in the asymmetry observed in data, which appears in a variety of disciplines, such as psychology, sociology, marketing research, behavioural sciences, and ecological sciences. In these disciplines, the asymmetry refers to some imbalance of the relationships in the data. In order to explore the structure, pattern, or some meaningful information inherent in the asymmetric data, researchers have developed many models, methods and theories for data analysis. This book is a comprehensive presentation of those studies, focusing on the asymmetry.
In its seven chapters, the book details theories, methods and models for the analysis of asymmetric structures in a variety of disciplines. It includes paired comparisons with asymmetry, graphical repesentation of asymmetric data, multidimensional scaling of asymmetric data, as well as cluster and network analysis of asymmetric data, and multivariate analysis of asymmetry between data sets. The presented theory is supported by numerical examples and applications. Given the above, the book is well suited not only for research workers and professionals across a wide range of disciplines, but also for undergraduate and graduate students who are interested in asymmetry.

MSC:

62-07 Data analysis (statistics) (MSC2010)
65C60 Computational problems in statistics (MSC2010)
62-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
62A09 Graphical methods in statistics
62H30 Classification and discrimination; cluster analysis (statistical aspects)
62J15 Paired and multiple comparisons; multiple testing
62P15 Applications of statistics to psychology
62P25 Applications of statistics to social sciences
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