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Descriptive Statistics for Symbolic Data

Bertrand, Patrice; Goupil-Testu, Françoise (2000), Descriptive Statistics for Symbolic Data, in Bock, H.-H. & Diday, E., Analysis of Symbolic Data, Exploratory methods for extracting statistical information from complex data, Springer : Berlin Heidelberg, p. 106-124. 10.1007/978-3-642-57155-8_6

Type
Chapitre d'ouvrage
Date
2000
Book title
Analysis of Symbolic Data, Exploratory methods for extracting statistical information from complex data
Book author
Bock, H.-H. & Diday, E.
Publisher
Springer
Published in
Berlin Heidelberg
ISBN
978-3540666196
Pages
106-124
Publication identifier
Metadata
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Author(s)
Bertrand, Patrice
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Goupil-Testu, Françoise
INRIA Rocquencourt
Abstract (EN)
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
Subjects / Keywords
Symbolic Data Analysis, Histogram, Descriptive statistics