Automatic Classification of Inspectional Categories: Multivariate Theories of Archaeological Data

The application of extremely complex multivariate models of classification to subjective inspectional methods of categorization is analyzed in detail, with the widely used Texas system of dart point typology as a case study. The history of the development of the Texas dart point typological system is sketched. An attempt by Gunn and Prewitt (1975) to objectify the classificatory system by multivariate methods is criticized. The techniques applied were too idiosyncratic to the particular data set used to be of predictive value. Discriminant function and multivariate classification analysis are discussed in detail, emphasizing simple geometrical examples by which the major principles may be grasped. Suggestions for improvement are offered for those who wish to follow Gunn and Prewitt in constructing automatic classification schemes.

[1]  Robert A. Randal.  how tall is a taxonomic tree? some evidence for dwarfism1 , 1976 .

[2]  M. H. Day.  Olduvai Hominid 10: a Multivariate Analsis , 1967, Nature.

[3]  E. Rosch,et al.  Cognition and Categorization , 1980 .

[4]  W. Howells,et al.  Cranial Variation in Man: A Study by Multivariate Analysis of Patterns of Difference Among Recent Human Populations , 1975 .

[5]  D. Amick,et al.  Introduction to multivariate analysis for the social sciences , 1973 .

[6]  T. W. Anderson.  Classification by multivariate analysis , 1951 .

[7]  W. Atchley,et al.  Statistical Properties of Ratios. I. Empirical Results , 1976 .

[8]  C. R. Rao,et al.  The Utilization of Multiple Measurements in Problems of Biological Classification , 1948 .

[9]  H. Hotelling.  The Generalization of Student’s Ratio , 1931 .

[10]  Robert A. Benfer,et al.  A Design for the Study of Archeological Characteristics1 , 1967 .

[11]  Dwight W. Read,et al.  Some Comments on Typologies in Archaeology and an Outline of a Methodology , 1974, American Antiquity.

[12]  M. Hughes,et al.  PREHISTORIC FLINT MINES AND THEIR IDENTIFICATION AS SOURCES OF RAW MATERIAL , 1972 .

[13]  G. K. Ward,et al.  A SYSTEMATIC APPROACH TO THE DEFINITION OF SOURCES OF RAW MATERIAL , 1974 .

[14]  R. Fisher.  THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS , 1936 .

[15]  W. Dixon.  BMD : biomedical computer programs , 1967 .

[16]  Ferruh Demirmen.  Multivariate procedures and Fortran IV program for evaluation and improvement of classifications , 1969 .

[17]  Robert C. Dunnell,et al.  Systematics in Prehistory , 1971 .

[18]  R. Shepard.  The analysis of proximities: Multidimensional scaling with an unknown distance function. II , 1962 .

[19]  Susan S. Lukesh,et al.  Protoapennine vs. Subapennine: Mathematical Distinction between Two Ceramics Phases , 1978 .

[20]  R. Corruccini.  Multivariate analysis in biological anthropology: Some considerations , 1975 .

[21]  M. L. Tildesley.  A FIRST STUDY OF THE BURMESE SKULL , 1921 .

[22]  Second Edition,et al.  Statistical Package for the Social Sciences , 1970 .

[23]  M. Cole,et al.  Cognitive Consequences of Formal and Informal Education: New accommodations are needed between school-based learning and learning experiences of everyday life. , 1973, Science.

[24]  D. Roe,et al.  Discrimination of British Lower and Middle Palaeolithic handaxe groups using canonical variates , 1970 .

[25]  W. J. Dixon,et al.  BMDP-77, Biomedical Computer Programs, P-Series , 1979 .

[26]  Susan M. Chandler,et al.  The identification of technological variability through experimental replication and empirical multivariate analysis , 1976 .

[27]  R. Shepard.  The analysis of proximities: Multidimensional scaling with an unknown distance function. I. , 1962 .

[28]  T. W. McKern,et al.  A Statistical Technique for Classifying Human Skeletal Remains , 1959, American Antiquity.

[29]  Raymond B. Cattell,et al.  A Biometrics Invited Paper. Factor Analysis: An Introduction to Essentials I. The Purpose and Underlying Models , 1965 .

[30]  Albert C. Spaulding,et al.  Statistical Techniques for the Discovery of Artifact Types , 1953, American Antiquity.

[31]  E. J. Dupraw.  Non-Linnean Taxonomy , 1964, Nature.

[32]  R. Jantz.  Microevolutionary change in Arikara Crania: a multivariate analysis. , 1973, American journal of physical anthropology.

[33]  Paul E. Green,et al.  Mathematical Tools for Applied Multivariate Analysis , 1976 .

[34]  Joel Gunn,et al.  Automatic Classification: Projectile Points from West Texas , 1975 .

[35]  F. R. Hodson,et al.  Mathematics and computers in archaeology , 1975 .

[36]  P. Mahalanobis,et al.  Analysis of race-mixture in Bengal , 1925 .