This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 225
Type: Topic Contributed
Date/Time: Monday, August 2, 2010 : 2:00 PM to 3:50 PM
Sponsor: Biopharmaceutical Section
Abstract - #306384
Title: Statistical Design for a Small Serial Dilution Series
Author(s): Daniel Zelterman*+
Companies: Yale University
Address: 333 Cedar Street PO Box 208034 , New Haven, CT, 06520-8034,
Keywords: experimental design ; entropy ; HIV infection ; syringe exchange ; harm reduction ; binomial distribution
Abstract:

We describe statistical plans for a serial dilution series designed to detect and estimate the number of viral particles in a solution. The design addresses a problem when a very limited number of aliquots are available for proliferation. A gamma prior distribution on the number of viral particles allows us to describe the marginal probability distribution of all experimental outcomes. We examine a design that minimizes the expected reciprocal information and compare this with the maximum entropy design. We argue that the maximum entropy design is more useful from the point of view of the laboratory technician. The problem and design are motivated by our study of the viability of HIV in syringes and other equipment that might mediate blood-borne viral transmission.


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