A Two-Stage Elimination Type Procedure for Selecting the Largest of Several Normal Means with a Common Unknown Variance.

Abstract

The problem of selecting the normal population with the largest mean from several populations with common unknown variance is considered. A new simple two-stage elimination type procedure is proposed which guarantees the same probability requirement using the indifference-zone approach as does the two-stage non-elimination type procedure of Bechhofer, Dunnett and Sobel (1954). The observations in the first stage are used not only to estimate the common unknown variance but also to screen out non-contending populations.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1982
Accession Number
ADA118501

Entities

People

  • Shanti Gupta
  • Woo-chul Kim

Organizations

  • Purdue University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Data Science
  • Decision Theory
  • Design Criteria
  • Elimination
  • Guarantees
  • Inequalities
  • Information Science
  • New York
  • Observation
  • Operations Research
  • Probability
  • Random Variables
  • Standards
  • Statistical Decision Theory
  • Statistics
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.