Accession Number:

AD0614792

Title:

A TWO-STEP SAMPLE SIZE PROBLEM.

Descriptive Note:

Doctoral thesis,

Corporate Author:

COLORADO STATE UNIV FORT COLLINS

Personal Author(s):

Report Date:

1965-03-01

Pagination or Media Count:

104.0

Abstract:

A problem in sampling is given in which an estimator of the mean of a normal population is determined such that the estimator deviates from the true population parameter by less than a given percentage of the true parameter with at least a certain specified probability. The problem is solved in the multi-step framework in which a minimum total sample size is to be attained. Certain assumptions on the existence of an upper bound on the coefficient of variation or a known positive lower bound on the mean are made. One, two and three step procedures are developed, of which the two-step process emerges as the most practical. A feasibility study is conducted using a high speed computer to determine, for a given confidence level, the form of an expression for the sample size as a function of the sufficient statistics mean and standard deviation of the first sample.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE