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Descriptive Statistics for Symbolic Data

  • Patrice Bertrand
  • Françoise Goupil
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

Abstract

The intention of this chapter is to extend the concept of frequency distribution, and the standard definitions of descriptive statistics for real-valued data, such as the empirical mean the empirical standard deviation and the median, to the general framework of symbolic variables. We denote by E={1,…, n} the set of units that are described by p symbolic variables Y1,…, Yp. The domain of each variable Y j for j = 1,…, p, is denoted by Y j and S = × j=1 p y j denotes the whole domain space. We will examine different types of symbolic variables, namely:
  • cases where each symbolic variable Y j is multi-valu ed or interval-valued;

  • including the case wher e logical rules may exist among the values taken by Y1,…, Y p

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Patrice Bertrand
    • 1
    • 2
  • Françoise Goupil
    • 2
  1. 1.LISE CEREMADEUniversité Paris IX — DauphineFrance
  2. 2.INRIA-RocquencourtLe ChesnayFrance

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