Title | Analysis of Symbolic Data [electronic resource] : Exploratory Methods for Extracting Statistical Information from Complex Data / edited by Hans-Hermann Bock, Edwin Diday |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-642-57155-8 |
Descript | XVIII, 425 p. online resource |
Symbolic Data Analysis and the SODAS Project: Purpose, History, Perspective -- 1.1 Introduction -- 1.2 Symbolic Data Tables and Symbolic Objects -- 1.3 Tools and Operations for Symbolic Objects -- 1.4 History and Evolution of SDA -- 1.5 The Content of the SODAS Project -- 1.6 Philosophical Background: Concepts and Symbolic Objects -- 1.7 Advantages of Using Symbolic Data Analysis -- 1.8 The Future Development of SODAS -- 2 The Classical Data Situation -- 2.1 Introduction -- 2.2 Variables as Input Data -- 2.3 Quantitative Variables -- 2.4 Qualitative Variables -- 2.5 Data Vectors and the Data Matrix -- 2.6 Dependent Variables -- 2.7 Missing Values -- 3 Symbolic Data -- 3.1 Three Introductory Examples -- 3.2 Multi-Valued and Interval Variables -- 3.3 Modal Variables -- 3.4 A Synthesis of Symbolic Data Types -- 3.5 The Symbolic Data Array -- 4 Symbolic Objects -- 4.1 Introduction and Examples -- 4.2 Relations and Descriptions -- 4.3 Events and Assertion Objects -- 4.4 Boolean Symbolic Objects as Triples -- 4.5 Modal Symbolic Objects -- 5 Generation of Symbolic Objects from Relational Databases -- 5.1 Introduction to Relational Databases -- 5.2 Principles of Symbolic Object Acquisition from Relational Databases -- 5.3 Interaction with the Database -- 5.4 A Generalization Operator -- 5.5 Further Operations on Generated Assertions -- 6 Descriptive Statistics for Symbolic Data -- 6.1 Descriptive Statistics for a Classical Numerical Variable -- 6.2 The Observed Symbolic Data Set -- 6.3 The Case of Multi-Valued Variables -- 6.4 The Case of an Interval-Valued Variable -- 7 Visualizing and Editing Symbolic Objects -- 7.1 The Zoom Star Representation -- 7.2 Editing Symbolic Objects -- 8 Similarity and Dissimilarity -- 8.1 Classical Resemblance Measures -- 8.2 Dissimilarity Measures for Probability Distributions -- 8.3 Dissimilarity Measures for Symbolic Objects -- 8.4 Matching Symbolic Objects -- 9 Symbolic Factor Analysis -- 9.1 Classical Principal Component Analysis -- 9.2 Symbolic Principal Component Analysis -- 9.3 Factorial Discriminant Analysis on Symbolic Objects -- 10 Discrimination: Assigning Symbolic Objects to Classes -- 10.1 Classical Methods of Discrimination -- 10.2 Symbolic Kernel Discriminant Analysis -- 10.3 Symbolic Discrimination Rules -- 10.4 Segmentation Trees for Stratified Data -- 11 Clustering Methods for Symbolic Objects -- 11.1 Clustering Problem, Clustering Methods for Classical Data -- 11.2 Criterion-Based Divisive Clustering for Symbolic Data -- 11.3 Hierarchical and Pyramidal Clustering with Complete Symbolic Objects -- 11.4 Pyramidal Classification for Interval Data Using Galois Lattice Reduction -- 12 Symbolic Approaches for Three-way Data -- 12.1 Introduction -- 12.2 The Input and Output Data -- 12.3 Processing Temporal Data -- 12.4 Interpretation of Outcomes from Processing of Temporal Changes -- 12.5 Real-Case Examples -- 13 Illustrative Benchmark Analyses -- 13.1. Introduction -- 13.2 Professional Careers of Retired Working Persons -- 13.3 Comparing European Labour Force Survey Results from the Basque Country and Portugal -- 13.4 Processing Census Data from ONS -- 13.5 General Conclusion -- 14 The SODAS Software Package -- 14.1 Short Introduction to the SODAS Software -- 14.2 Short Processing of a Chaining -- 14.3 Short List of Methods in SODAS Software -- Notations and Abbreviations -- Addresses of Contributors to this Volume