Accession Number:

ADA061010

Title:

Optimality of Subset Selection Procedures for Ranking Means of Three Normal Populations.

Descriptive Note:

Technical rept.,

Corporate Author:

PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s):

• Gupta,Shanti S.
• Miescke,Klaus J.

Report Date:

1978-08-01

Pagination or Media Count:

24.0

Abstract:

This paper deals with the classical Gupta 1956,65-approach Minimize the expected subset size under the P-condition in the case of three normal populations with a common known variance and equal sample sizes n. By the method of Lagrangian undetermined multipliers a function involving psi and phi-terms only is derived which is a convenient tool to find optimal procedures within Seals 1955,57 class. Numerical work together with asymptotical results lead to the conclusion that for every fixed P and mean vector mu,Guptas 1956 means procedure is optimal within Seals class for sufficiently large sample size n. Author

Descriptors:

• *RANK ORDER STATISTICS
• *NORMAL DISTRIBUTION
• OPTIMIZATION
• ANALYSIS OF VARIANCE
• INVARIANCE
• SELECTION
• SET THEORY
• LAGRANGIAN FUNCTIONS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE