3D CIRCULAR HISTOGRAM
DOI:
https://doi.org/10.15381/pes.v15i2.9610Keywords:
Polar coordinates, Projection Pursuit, dimensionality reduction, sphered data, structure.Abstract
This paper aims to present a new tool for statistically exploring of multidimensional data called 3D Circular Histogram. Unlike classical histogram based on Cartesian coordinates, what is shown here is constructed from a polar coordinate system and the reduction dimension technique called Projection Pursuit developed by Jerome H. Friedman and John Tukey in 1974. This new tool was tested using two groups of simulated multidimensional data. The first set of data follows el multivariate normal distribution and the second group simulates a structure formed by three clusters. The 3D Circular Histogram showed clear departures from normality when existed and asymmetries and with the help of the Projection Pursuit successfully detected where there were structures.
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Copyright (c) 2012 Erwin Kraenau Espinal
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