Selecting the normal population with the smallest coefficient of variation

Ajit C. Tamhane, Anthony J. Hayter

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the problem of selecting the normal population with the smallest coefficient of variation, which is a natural goal when the means as well as the variances of the populations are unknown and unequal. The indifference-zone approach (Bechhofer 1954) to this problem has been previously considered by Choi, Jeon and Kim (1982). We review their selection procedure and provide tables of sample sizes for it. Next we consider the subset selection approach of Gupta (1956, 1965). We propose a natural selection procedure, derive its least favorable configuration and providetables of critical constants. An example is given to illustrate the two procedures.

Original languageEnglish (US)
Pages (from-to)31-50
Number of pages20
JournalAmerican Journal of Mathematical and Management Sciences
Volume29
Issue number1-2
DOIs
StatePublished - Jan 1 2009

Keywords

  • Indifference-zone approach
  • Noncentral t-distribution
  • Subset selection approach
  • Unequal variances

ASJC Scopus subject areas

  • Business, Management and Accounting(all)
  • Applied Mathematics

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