One should use essentially non-parametric statistics. A very good textbook is Siegel S (1956) Nonparametric Statistics for the Behavioral Sciences. McGraw-Hill Book Cy, NY.
For an application in art history see for example: Research Paper 5 'Time Distribution, Popularity, Diversity and Productivity of the Iconography of Venus in the Low Countries, France and Italy' by K. Bender (2011)
google.com/site/venusiconography/home/research-papers/research-paper-5">https://sites.google.com/site/venusiconography/home/research-papers/research-paper-5
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