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A Pictorial Representation of Multivariate data and its limitation: An example from Anthropometric data

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Author Affiliations

  • 1Department of Statistics, Burdwan University, Burdwan, West Bengal, INDIA
  • 2Biological Anthropological Unit, Indian Statistical Institute, Kolkata, West Bengal, INDIA

Res. J. Mathematical & Statistical Sci., Volume 2, Issue (1), Pages 6-9, January,12 (2014)

Abstract

Higher dimensional observations cannot be plotted to check dependency among its components and thus cannot be investigated whether these come from mixture population. However, a method is obtained for these two purposes in a simpler manner. Whole observations are realized by its first two principle components and from the scatter plot of these, nature of mixing and dependency may be obtained. Even scanning the pixel value of the plot, it is found that the distribution retrieved from pixel values and original distributions are different. It is due to limitation of scanning. The whole work is based on a large dimensional anthropological data set. Although, the first two principal components should be uncorrelated if it is from a unimodal distribution, but from a large data set, an impression of dependency is seen. It is shown that, it is due to mixing of distributions. Thus it is a way of identifying mixture population also, with higher dimensional observations. Also the impact over dependency of components is shown in presence of mixing.

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