Summary
A binary matrix representing the presence of traits and objects is given. We consider the task to detect a subblock of traits and objects such that for each trait its frequency of occurrence within these objects is highly increased. A Bayesian framework is specified and the Gibbs sampler is used to approximate the posterior distribution. The necessary extensions to use this procedure for kinship analysis in prehistoric anthropology are outlined.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ALT, K.W. (1991): Verwandschaftsanalyse an Skelettmaterial – Methodenentwicklung auf der Basis odontologischer Merkmale. Medizinische Habilitationsschrift Freiburg. Gustav Fischer Verlag (in press).
ALT, K.W. & VACH, W. (1991): The Reconstruction of “Genetic Kinship” in Prehistoric Burial Complexes – Problems and Statistics. In: Bock, H.H., Ihm, P.(eds): Classification, Data Analysis, and Knowledge Organization. Springer, 299–310.
ALT, K.W. & VACH, W. (1992): Non-Spatial Analysis of “Genetic Kinship” in Skeletal Remains. In: Schader, M. (ed): Analysing and Modeling Data and Knowledge. Springer, 247–256.
ARABIE, P., BOORMAN, S.A. & LEVITT, P.R. (1978): Constructing block models: How and why. Journal of Mathematical Psychology, 17, 21–63.
DUFFY, D.E. & QUIROZ, A.F. (1991): A permutation-based algorithm for block clustering. Journal of Classification, 8, 65–91.
GELFAND, A.E. & SMITH, A.F.M. (1990): Sampling-based approaches to calculating marginal densities. Journal of the Amer. Statist. Assoc., 85, 398–409.
GEMAN, S. & GEMAN, D. (1984): Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721–741.
GREENACRE, M. (1984): Theory and application of correspondence analysis. Academic Press.
HARTIGAN, J.A. (1972): Direct Clustering of a Data Matrix. Journal of the Amer. Statist. Assoc., 67, 123–129.
MARCOTORCHINO, F. (1987): Block Seriation Problems: A Unified Approach. Applied Stochastic Models and Data Analysis, 3, 73–91.
OPITZ, O. & SCHADER, M. (1984): Analyse qualitativer Daten: Einführung und Übersicht, Teil 1. OR Spektrum, 6, 67–83.
VACH, W. & ALT, K.W. (1993): Detection of kinship structures in prehistoric burial sites. In: Andresen, J., Madsen, T., Scollar, I. (eds): Computing the Past. Aarhus University Press, 287–292
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Vach, W., Alt, K.W. (1996). Detection of Blocks in a Binary Matrix — A Bayesian Approach. In: Gaul, W., Pfeifer, D. (eds) From Data to Knowledge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79999-0_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-79999-0_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60354-2
Online ISBN: 978-3-642-79999-0
eBook Packages: Springer Book Archive