Selecting the normal population with the smallest coefficient of variation

Ajit C. Tamhane; Anthony J. Hayter

doi:10.1080/01966324.2009.10737748

Selecting the normal population with the smallest coefficient of variation

Ajit C. Tamhane, Anthony J. Hayter

Industrial Engineering and Management Sciences

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	31-50
Number of pages	20
Journal	American Journal of Mathematical and Management Sciences
Volume	29
Issue number	1-2
DOIs	https://doi.org/10.1080/01966324.2009.10737748
State	Published - 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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10.1080/01966324.2009.10737748

Cite this

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title = "Selecting the normal population with the smallest coefficient of variation",

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.",

keywords = "Indifference-zone approach, Noncentral t-distribution, Subset selection approach, Unequal variances",

author = "Tamhane, {Ajit C.} and Hayter, {Anthony J.}",

note = "Funding Information: The authors thank Mr. Kunyang Shi, a statistics doctoral student at Northwestern, for computing the tables of the critical constants for the subset selection procedure. We also thank two referees for their useful comments and suggestions. This research was partially supported by the National Heart, Lung and Blood Institute Grant 1 R01 HL082725-01Al and the National Security Agency Grant H98230-07-l-0068.",

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AU - Tamhane, Ajit C.

AU - Hayter, Anthony J.

N1 - Funding Information: The authors thank Mr. Kunyang Shi, a statistics doctoral student at Northwestern, for computing the tables of the critical constants for the subset selection procedure. We also thank two referees for their useful comments and suggestions. This research was partially supported by the National Heart, Lung and Blood Institute Grant 1 R01 HL082725-01Al and the National Security Agency Grant H98230-07-l-0068.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

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KW - Noncentral t-distribution

KW - Subset selection approach

KW - Unequal variances

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Selecting the normal population with the smallest coefficient of variation

Abstract

Keywords

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