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

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 Seal's (1955,57) class. Numerical work together with asymptotical results lead to the conclusion that for every fixed P* and mean vector mu,Gupta's (1956) means procedure is optimal within Seal's class for sufficiently large sample size n. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA061010

Entities

People

  • Klaus J. Miescke
  • Shanti Gupta

Organizations

  • Purdue University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Bayesian Networks
  • Contracts
  • Equations
  • Governments
  • Military Research
  • New York
  • Normal Distribution
  • North Carolina
  • Probability
  • Standards
  • Statistics
  • United States
  • United States Government
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Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Regression Analysis.