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Conceptual and Numerical Analysis of Data

Proceedings of the 13th Conference of the Gesellschaft für Klassifikation e.V., University of Augsburg, April 10–12, 1989

  • Conference proceedings
  • © 1989

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Editors:
  1. Otto Optiz

    1. Lehrstuhl für Mathematische Methoden, Wirtschaftswissenschaften Universität Augsburg, Augsburg, Germany

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Table of contents (42 papers)

  1. Front Matter

    Pages I-XXV
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  2. Data Analysis and Classification: Basic Concepts and Methods

    1. Front Matter

      Pages 1-1
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    2. Robustness of Estimation Methods against Small Sample Sizes and Nonnormality in Confirmatory Factor Analysis Models

      • Ingo Balderjahn
      Pages 3-11

    3. Probabilistic Aspects in Cluster Analysis

      • H. H. Bock
      Pages 12-44

    4. Symbolic Cluster Analysis

      • E. Diday, M. Paula Brito
      Pages 45-84

    5. Analysis of Nonnormal Longitudinal Data with Generalized Linear Models

      • Ludwig Fahrmeir
      Pages 85-104

    6. Cluster Methods for Qualitative Data

      • Gerhard Herden
      Pages 105-115

    7. On Testing for and against Inequality Restrictions

      • Heinz Kaufmann
      Pages 116-122

    8. Evaluation of a Survey with Methods of Formal Concept Analysis

      • Wolfgang Kollewe
      Pages 123-134

    9. A New Modification of the Rand Index for Comparing Partitions

      • Joachim Krauth
      Pages 135-146

    10. Relations between Models for Three-Way Factor Analysis and Multidimensional Scaling

      • Sabine Krolak-Schwerdt, André Kohler
      Pages 147-158

    11. Algorithms in Multidimensional Scaling

      • Rudolf Mathar
      Pages 159-177

    12. Extensions of Correspondence Analysis for the Statistical Exploration of Multidimensional Contingency Tables

      • Renate Meyer
      Pages 178-186

    13. Numerical Classification of Biased Estimators

      • Paul Müller
      Pages 187-200

    14. An Agglomerative Algorithm of Overlapping Clustering

      • O. Opitz, R. Wiedemann
      Pages 201-211

    15. Isotonic Regression — For a Monotone Index on a Hierarchy

      • Manfred Tittel, Paul O. Degens
      Pages 212-221

    16. On the Interpretation of Median Relations

      • Ulrich Tüshaus
      Pages 222-229

    17. Least Squares Approximation of Additive Trees

      • Werner Vach
      Pages 230-238

    18. Geometric Representation of Concept Lattices

      • Rudolf Wille
      Pages 239-255

    19. On Properties of Additive Tree Algorithms

      • K. Wolf, P. O. Degens
      Pages 256-265
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Keywords

About this book

The 13th conference of the Gesellschaft fUr Klassifikation e. V. took place at the Universitat Augsburg from April 10 to 12, 1989, with the' local organization by the Lehrstuhl fUr Mathematische Me­ thoden der Wirtschaftswissenschaften. The wide ranged subject of the conference Conceptual and Numerical Analysis of Data was obliged to indicate the variety of the concepts of data and information as well as the manifold methods of analysing and structuring. Based on the received announcements of papers four sections have been arranged: 1. Data Analysis and Classification: Basic Concepts and Methods 2. Applications in Library Sciences, Documentation and Information Sciences 3. Applications in Economics and Social Sciences 4. Applications in Natural Sciences and Computer Sciences This classification doesn't separate strictly, but it shows that theo­ retic and applying researchers of most different disciplines were disposed to present a paper. In 60 survey and special lectures the speakers reported on developments in theory and applications en­ couraging the interdisciplinary dialogue of all participants. This volume contains 42 selected papers grouped according to the four sections. Now we give a short insight into the presented papers. x Several problems of concept analysis, cluster analysis, data analysis and multivariate statistics are considered in 18 pa­ pers of section 1. The geometric representation of a concept lattice is a collection of figures in the plane corresponding to the given concepts in such a way that the subconcept-superconcept-relation corresponds to the containment relation between the figures. R.

Editors and Affiliations

  • Lehrstuhl für Mathematische Methoden, Wirtschaftswissenschaften Universität Augsburg, Augsburg, Germany

    Otto Optiz

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