A Comparison of Two Tests for the Significance of a Mean Vector.

reportActive / Technical Report | Accession Number: ADA051848 | Open PDF

Abstract:

Hotellings T-square procedure for testing the significance of a mean vector treats all variables symmetrically and may not be appropriate if the variables carry unequal importance. The step-down procedure, a possibly appropriate alternative, is studied in this paper. An underlying invariance structure is established and then used to develop a canonical form for studying the power functions of the two methods. A Monte Carlo experiment is conducted in this framework and conclusions are reported.

Author(s):
Subbaiah, Perla ; Mudholkar, Govind S.
Author Organization(s):
ROCHESTER UNIV NY DEPT OF STATISTICS
Descriptive Note:
Interim rept.,
Supplementary Note:
DOI: 10.21236/ADA051848
Pagination:
0019

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFOSR-TR-78-0435
Contract/Grant Number(s):
AFOSR-77-3360
Task Number(s):
A6
Project Number(s):
2304
Monitor Series:
TR-78-0435
 Subject Terms
Joint Capability Areas:
JCA_1.2.7_Experimentation; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_5_Command and Control; JCA_1.2.3_Educating; JCA_1.2.5_Lessons Learned; JCA_5.3_Planning; JCA_1.4.1_Force Health Protection; JCA_1.4_Force Support
Modernization Areas:
Fully Networked C3
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*STATISTICAL TESTS, *ANALYSIS OF VARIANCE, RANDOM VARIABLES, MATRICES(MATHEMATICS), MONTE CARLO METHOD, WEIGHTING FUNCTIONS, INVARIANCE, DISTRIBUTION FUNCTIONS
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
Hypothesis testing, PE61102F, WUAFOSR2304A6
Report Date:
1977 Jan 01