first
prev
toc
next
last
Download Citation
Recommend
Mark
Alert
Link
Print
On Application of the Partition Distance Concept to a Comparative Analysis of Psychological or Sociological Tests
Authors:
A. D'yachkov a;
V. Rykov b;
D. Torney c;
S. Yekhanin d
| Affiliations: | a Department of Probability Theory, Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia |
| b Department of Mathematics, University of Nebraska at Omaha, Omaha, Nebraska, USA | |
| c Theoretical Biology and Biophysics Group, Los Alamos National Laboratory, Los Alamos, New Mexico, USA | |
| d Computer Science and Artificial Intelligence Laboratory, Cambridge, Massachusetts, USA |
DOI:
10.1080/07362990500397533
Publication Frequency:
6 issues per year
Formats available:
HTML
(English)
:
PDF
(English)
Article Requests:
Order Reprints
:
Request Permissions
-
Single Article Purchase:
US$37.00
-
buy now
-
Sign In
- Online Sample
add to cart 
[ show other buying options ]
View Article:
View Article (PDF)
View Article (HTML)
Abstract
We discuss two distance concepts between q-ary n-sequences, 2 ≤ q < n, called partition distances. This distances are metrics in the space of all partitions of a finite n-set. For the metrics, we study codes called q-partition codes and present a construction of these codes based on the first order Reed-Muller codes. A random coding bound is obtained. We also work out an application of q-partition codes to the statistical analysis of psychological or medical tests using questionnaires.
|
| Keywords: Clusters analysis; Medical tests; Partition codes; Partitions distance; Partitions of sets; Psychological tests |
| Mathematics Subject Classification: Primary 62P15; Secondary 05A18, 94B60 |
| view references (5) |
|
Bookmark with:
|
CiteULike
Del.icio.us
BibSonomy
Connotea
More bookmarks
