Visualizing frequency distributions of ranked data (Q1965938)

The author proposes a graphical method for displaying the frequency distributions of fully and partially ranked data. Two orderings are adjacent to each other if they differ only by a transposition of two consecutively ranked items. The proposed ''histograms'' for ranked data are based on finding a geometric structure on which the orderings can be positioned so that adjacent orderings are located next to each other. Then, the frequency with which each ordering has been chosen is indicated by the corresponding position on the geometric figure as a circle with the center in the corresponding vertex. The areas of these circles are \(f^{10/7}\), where \(f\) is the value of the frequency.