Analysis of symbolic data符號數(shù)據(jù)分析

內(nèi)容概要

This first systematic and self-contained monograph on "Symbolic Data Analysis" presents the most recent methods for analyzing and visualizing symbolic data. It generalizes classical methods of exploratory, statistical and graphical data analysis to the case of complex data where the entries of a data table are, e. g., sets of categories or of numbers, intervals or probability distributions. Typical methods include: graphical displays using Zoom Stars, visualization and feature extraction by symbolic factor analysis, decision trees, discrimination, classification and clustering methods. Several benchmark examples from National Statistical Offices illustrate the usefulness of the methods. The book contains an extensive bibliography and a subject index.

書籍目錄

Preface of the Scientific EditorsPreface of the Project Managers1 Symbolic Data Analysis and the SODAS Project: Purpose, History, Perspective　1.1 Introduction　1.2 Symbolic Data Tables and Symbolic Objects　　1.2.1 The Input of SDA: Symbolic Data Tables, Rules and Taxonomies　　1.2.2 Sources of Symbolic Data　　1.2.3 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　　1.5.1 SDA Methods Realized in SODAS　　1.5.2 An Illustrative Example　　1.5.3 Overview on the SODAS Software　　1.5.4 Examples for the SODAS Strategy in Applications 　1.6 Philosophical Background: Concepts and Symbolic Objects 　　1.6.1 First- and Second-Order Individuals　　1.6.2 Intent and Extent, the Two Kinds of Concepts　　1.6.3 Concepts: The Four Traditions and 'Symbolic Objects' 　1.7 Advantages of Using Symbolic Data Analysis　1.8 The Future Development of SODAS2 The Classical Data Situation　2.1 Introduction　2.2 Variables as Input Data　2.3 Quantitative Variables　2.4 Qualitative Variables　　2.4.1 Nominal Variables　　2.4.2 Ordinal Variables and Generalized Ordinal Variables 　2.5 Data Vectors and the Data Matrix　2.6 Dependent Variables　　2.6.1 Logical Dependence　　2.6.2 Hierarchical Dependence (Mother-Daughter)　　2.6.3 Stochastic Dependence　2.7 Missing Values3 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 Array4 Symbolic Objects　4.1 Introduction and Examples　4.2 Relations and Descriptions　　4.2.1 Relations　　4.2.2 Descriptions, Description Vectors and Description Sets 　　4.2.3 Product Relations　4,3 Events and Assertion Objects　4.4 Boolean Symbolic Objects as Triples　4.5 Modal Symbolic Objects5 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    5.3.1 Interpretation of SQL Queries  ……6 Descriptive Statistics for Symbolic Data7 Visualizing and Editing Symbolic Objects8 Similarity and Dissimilarity 9 Symbolic Factor Analysis  10 Discrimination: Assigning Symbolic Objects to Classes11 Clustering Methods for Symbolic Objects12 Symbolic Approaches for Three-way Data13 Illustrative Benchmark Analyses14 The SODAS Software PackageNotations and AbbreviationsBibliographyAddresses of Contributors to this VolumeSubject Index

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