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Avviso di seminario
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DIPARTIMENTO DI STATISTICA, PROBABILITA'
E STATISTICHE APPLICATE
UNIVERSITA' "LA SAPIENZA" - ROMA
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AVVISO DI SEMINARIO
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Lunedi' 16 dicembre, ore 11.30 - Aula VII
CLUSTER ANALYSIS WITH MIXED MODE DATA, MISSING VALUES
AND ERROR IN VARIABLES
Petros Dellaportas
Athens University of Economics
Department of Statistics
Athens, Greece
Abstract
The classification of neolithic tools using cluster analysis
enables archaeologists to understand the function of the tools
and the technological and cultural conditions of the societies.
In this paper, Bayesian classification is adopted to analyse
data which raise the question of whether the observed
morphological-dimensional variability among the tools is related
to their operational use. The data present technical
difficulties for the practitioners, such as the presence of
mixed-mode data, missing data, and error in variables.
These complications are overcome by employing a finite mixture
model and Markov chain Monte Carlo methods.
The analysis uses prior information which expresses the
archaeologist's belief that there are two tool groups similar
to contemporary adzes and axes. The resulting mixing densities
provide evidence that the morphological-dimensional variability
among tools is related to the existence of these two tool groups.
Keywords: Bayesian analysis; cluster analysis; error in variables;
Markov chain Monte Carlo; missing data; mixed mode data.