2000 | OriginalPaper | Buchkapitel
Descriptive Statistics for Symbolic Data
verfasst von : Patrice Bertrand, Françoise Goupil
Erschienen in: Analysis of Symbolic Data
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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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=1py 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