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Examples of Multivariate Data

  • Anthony C. Atkinson
  • Marco Riani
  • Andrea Cerioli
Chapter
  • 485 Downloads
Part of the Springer Series in Statistics book series (SSS)

Abstract

In our first example the data form a 200 × 6 matrix: six readings on the dimensions of the heads of 200 young men. This rectangular array is the form of all our data sets, an n × υ matrix representing υ observations on each of n units, here people. In most examples we first look at a scatterplot matrix of the data and then fit a multivariate normal distribution. This model can be fitted to any such rectangular array of numbers, so we need to explore the data to see whether this is an appropriate model for these data. Some departures from the multivariate normal model include:
  • The presence of a single outlier;

  • The presence of a group of outliers;

  • Two or more distinct groups in the data;

  • A transformation is required to obtain approximate normality of the data.

Keywords

Mahalanobis Distance Multivariate Data Multivariate Normal Distribution Multivariate Normality Subset Size 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Anthony C. Atkinson
    • 1
  • Marco Riani
    • 2
  • Andrea Cerioli
    • 2
  1. 1.Department of StatisticsThe London School of EconomicsLondonUK
  2. 2.Dipartimento di Economia, Sezione di Statistica e InformaticaUniversità di ParmaParmaItaly

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