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This is called the arch effect by Hill and Gauch (1980).
Though according to David George Kendall (1971), Petrie's paper showed already a deep understanding of the mathematics of the seriation problem (Quote: ".my view Petrie should be ranked with the greatest applied mathematicians of the nineteenth century"). 8) list of landmarks of statistics in archaeology the paper of Robinson (1951) is the first entry.
Robinson based his frequency seriation method on a similarity matrix. 269–281) summarized the state of the art of seriation methods thoroughly, giving detailed descriptions of Kendall's and Robinson's approaches.
He reasoned that the most accurate sequence would be the one where concentrations of certain design styles had the shortest duration across the sequence of papers (Renfrew and Bahn 1996, p. In addition, it is vital that the lifespans of the different design styles overlap. to form groups of objects belonging to the same design style is by no means trivial.
Following these rules, an assemblage of objects can be placed into sequence so that sites with the most similar proportions of certain styles are always together (Lock 2003, p. Creating a typology frequently is the basis of a seriation.
The raw data are stored in an unsorted binary contingency table indicating which design style can be found in which context by a star symbol.