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Data‐dependent interval partition of naturally ordered individuals by complete cluster analysis in epidemiological and cardiac data processing
Author(s) -
Langer Stefan F. J.
Publication year - 1997
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19970730)16:14<1617::aid-sim576>3.0.co;2-f
Subject(s) - partition (number theory) , interval data , interval (graph theory) , cluster analysis , cluster (spacecraft) , constraint (computer aided design) , relaxation (psychology) , poisson distribution , computer science , mathematics , constant (computer programming) , statistics , algorithm , combinatorics , medicine , geometry , data envelopment analysis , programming language
Cluster analysis cannot usually examine every possible clustering. However, some external constraint may reduce the number of clusterings to a practical amount. In this paper, we consider naturally ordered individuals and calculate the number of interval partitions among them, if a minimal width for each interval is demanded. Two examples illustrate the application of the method. We first determine optimal information preserving age intervals due to the frequencies of some diseases. In the second example, we find a subinterval of the intraventricular blood pressure curve suitable to determine the time constant of heart relaxation. © 1997 John Wiley & Sons, Ltd.