On central tendency and dispersion measures for intervals and hypercubes

Abstract : The uncertainty or the variability of the data may be treated by considering, rather than a single value for each data, the interval of values in which it may fall. This paper studies the derivation of basic description statistics for interval-valued datasets. We propose a geometrical approach in the determination of summary statistics (central tendency and dispersion measures) for interval-valued variables.
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Marie Chavent, Jérôme Saracco. On central tendency and dispersion measures for intervals and hypercubes. Communications in Statistics - Theory and Methods, Taylor & Francis, 2008, 37 (9), pp.1471 - 1482. ⟨10.1080/03610920701678984⟩. ⟨hal-00273170⟩

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