Testing Hypotheses Which Are Unions of Linear Subspaces.

reportActive / Technical Report | Accession Number: ADA121470 | Open PDF

Abstract:

The likelihood ratio test LRT for hypotheses which are unions of linear subspaces is derived for the normal theory linear model. A more powerful variant of the LRT is proposed for the case in which the subspaces are not all of the same dimension. A theorem is proved which may be used to identify hypotheses which are unions of linear subspaces. Some hypotheses, of particular relevance in ecology, concerning the spacings between normal means are shown to be unions of linear subspaces and are therefore testable using the LRT. Finally, the computation of the LRT statistic is discussed. Author

Author(s):
Berger, Roger L. ; Sinclair, Dennis F.
Author Organization(s):
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
Descriptive Note:
Technical rept.,
Supplementary Note:
DOI: 10.21236/ADA121470
Pagination:
0022

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
FSU-STATISTICS-M-639, D-55-ARO
Contract/Grant Number(s):
DAAG29-79-C-0158
Monitor Series:
16713.22-MA
 Subject Terms
Modernization Areas:
Fully Networked C3
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*LINEAR SYSTEMS, *HYPOTHESES, *ECOLOGY, *POPULATION(MATHEMATICS), RATIOS, COMPUTATIONS, STATISTICAL TESTS, MATRICES(MATHEMATICS), DISPLACEMENT
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
LRT(Likelihood Ratio Test), Character displacement
Report Date:
1982 Sep 01