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 | |
| State | Published - 2009 |
Funding
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.
Keywords
- Indifference-zone approach
- Noncentral t-distribution
- Subset selection approach
- Unequal variances
ASJC Scopus subject areas
- General Business, Management and Accounting
- Applied Mathematics