Abstract #300724


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JSM 2002 Abstract #300724
Activity Number: 357
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 2:00 PM to 3:50 PM
Sponsor: General Methodology
Abstract - #300724
Title: Counting by Weighing
Author(s): Xinyu Wei *+ and T. Sriram+
Affiliation(s): Johnson & Johnson Pharmaceutical R&D and University of Georgia
Address: 1125 Trenton-Harbourton Road, Titusville, New Jersey, 08560, US Statistics Building, Athens, Georgia, 30602, U.S.A
Keywords: sequential sampling ; sample size
Abstract:

We consider the problem of counting a large, but pre-specified, number of items using weight of a small sample. Since weighing items in a small sample saves considerable time and energy, the problem then reduces to that of selecting the size of the sample. Two criteria, one based on estimation and the other based on fixed-width confidence interva,l are used to obtain optimal sample sizes. These sample sizes depend on the unknown coefficient of variation of the weight distribution. To overcome this, sequential sampling schemes are proposed and shown to be as efficient as those available in the literature. Our sampling schemes have an added feature that the sampling operations required are fewer than those available in the literature.


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