Accession Number : AD0748615

Title :   A Note on Selecting a Subset of Normal Populations with Unequal Sample Sizes.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Gupta,Shanti S. ; Huang,Wen-Tao

Report Date : AUG 1972

Pagination or Media Count : 14

Abstract : Let Pi sub 1, Pi sub 2,..., Pi sub k be k normal populations with common variance Sigma squared and let Pi sub i have mean theta sub i. Let n sub 1, n sub 2,..., n sub k given positive integers. Suppose n sub i observations are drawn from Pi sub i for each i = 1, 2,..., k, the authors require to select a nonempty subset of populations so that the probability that the subset selected includes a population associated with the largest mean is no less than P*(l/k < P* < L), a preassigned value. Two procedures of subset selection are given for the cases of known and unknown Sigma squared, respectively. Tables for the constants in the rule are given for some special choices of k, P* and alpha, the ratio of n sub i over the maximum n sub j. (Author)

Descriptors :   (*POPULATION(MATHEMATICS), *SAMPLING), SET THEORY, PROBABILITY DENSITY FUNCTIONS, INTEGRALS, THEOREMS, SELECTION

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE