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DISCRIMINANT ANALYSIS OF THE CHEMICAL COMPOSITIONS AND PHYSICAL MEASUREMENTS OF 245 AUGUSTAN QUADRANTES
Author(s) -
CARTER G. F.,
FRURIP D. J.
Publication year - 1985
Publication title -
archaeometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.716
H-Index - 67
eISSN - 1475-4754
pISSN - 0003-813X
DOI - 10.1111/j.1475-4754.1985.tb00354.x
Subject(s) - mahalanobis distance , centroid , linear discriminant analysis , discriminant , mathematics , chronology , orientation (vector space) , statistics , tetrahedron , combinatorics , geology , artificial intelligence , geometry , computer science , paleontology
Previously 245 Augustan quadrantes were analysed for seven elements. Physical measurements comprised the weight, maximum thickness and diameter, minimum diameter, and die orientation for each coin. Both chemical and physical data were subjected to discriminant analysis, and centroids in multi‐dimensional space were obtained for each of the four groups. A tetrahedron was drawn using the four centroids; each corner was separated from the other groups by a Mahalanobis distance. We hypothesize that the most probable relative chronology comprises the smallest sum of Mahalanobis distances connecting all four points. The most probable chronology for the quadrantes is c. 8, 9, 5, and 4 B.C.