| Main Title |
Clustering Criteria and Multivariate Normal Mixtures. |
| Author |
Symons, M. J. ;
|
| CORP Author |
North Carolina Univ. at Chapel Hill. Dept. of Biostatistics.;Health Effects Research Lab., Research Triangle Park, NC. |
| Year Published |
1981 |
| Report Number |
EPA/600/J-81/698; |
| Stock Number |
PB86-208659 |
| Additional Subjects |
Biostatistics ;
Multivariate analysis ;
Normal density functions ;
Reprints ;
Cluster analysis ;
Covariance matrices ;
Baysian analysis ;
Maximum likelihood estimation
|
| Holdings |
| Library |
Call Number |
Additional Info |
Location |
Last
Modified |
Checkout
Status |
| NTIS |
PB86-208659 |
Some EPA libraries have a fiche copy filed under the call number shown. |
|
07/26/2022 |
|
| Collation |
11p |
| Abstract |
New clustering criteria for use when a mixture of multivariate normal distributions is an appropriate model are presented. They are derived from maximum likelihood and Bayesian approaches corresponding to different assumptions about the covariance matrices of the mixture components. Two of the criteria are modifications of the determinant of the within-groups sum-of-squares criterion of Friedman and Rubin (1967, Journal of the American Statistical Association 63, 1159-1178); these criteria appear to be more sensitive to disparate cluster sizes. Two others are appropriate for different-shaped clusters. The practical aspects of these criteria, and of another one studied by Maronna and Jacovkis (1974, Biometrics 30, 499-505) for heterogeneous covariance matrices, are outlined. An example involving the separation of two types of diabetic patients from normal subjects, each group having a distinct covariance structure, is given. The results with the three criteria appropriate for different-shaped clusters were comparable to one another and preferable to those obtained with the three criteria for similar-shaped clusters. Results obtained for the example with two additional clustering procedures are presented. |
| Supplementary Notes |
Pub. in Biometrics 37, p35-43 Mar 81. Sponsored by Health Effects Research Lab., Research Triangle Park, NC. |
| NTIS Title Notes |
Journal article. |
| Title Annotations |
Reprint: Clustering Criteria and Multivariate Normal Mixtures. |
| PUB Date Free Form |
c1981 |
| Category Codes |
12A; 72F; 57 |
| NTIS Prices |
PC A02/MF A01 |
| Primary Description |
600/11 |
| Document Type |
NT |
| Cataloging Source |
NTIS/MT |
| Control Number |
622718460 |
| Origin |
NTIS |
| Type |
CAT |
