Journal of Official Statistics, Vol.4, No.1, 1988. pp. 47–51
A Note on Choice of Bivariate Histogram Bin Shape
David W. Scott
Abstract:Regular tiling of the plane may be accomplished with square, triangular, or hexagonal tiles. The statistical properties of bivariate histograms with square bin shapes are well-known. Here other choices of regular bin shapes are evaluated. Hexagonal bins are shown to be best asymptotically but only marginally better than square bins, which are 98% efficient. Equilateral triangular bins are only 91% efficient and usually should be avoided.
Keywords:Bivariate histogram; bin shape.
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