Abstract #300140

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JSM 2003 Abstract #300140
Activity Number: 247
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: Biopharmaceutical Section
Abstract - #300140
Title: Confidence Interval Procedures for the Probability of Disease Transmission in Multiple-Vector-Transfer Designs
Author(s): Joshua M. Tebbs*+ and Christopher R. Bilder+
Companies: Oklahoma State University and Oklahoma State University
Address: Department of Statistics, Stillwater, OK, 74078-0001, Dept. of Statistics, Stillwater, OK, 74075,
Keywords: bootstrap intervals ; composite sampling ; group testing ; insect vectors ; plant disease ; proportion
Abstract:

In plant pathology, group testing has been widely used in vector-transfer designs to study factors affecting the spread of viral diseases by insect vectors. In such contexts, vectors are tested in groups rather than individually. However, the goal is still to estimate the probability of disease transmission by a single vector. The purpose of this article is to propose new confidence interval procedures for this probability. We derive an asymptotic interval based on the variance stabilizing transformation of the maximum likelihood estimator and present several approaches using the bootstrap. These intervals are shown to often have better coverage properties and similar mean lengths to those methods already available. Furthermore, the proposed intervals are guaranteed to produce endpoints within the parameter space. We illustrate our methods using data from an Argentinean study involving the "Mal Rio Cuarto" virus.

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