Confidence interval procedures for proportions estimated by group testing with groups of unequal size adjusted for overdispersion
Journal
Journal of Applied Statistics
Journal Volume
38
Journal Issue
7
Start Page
1467
End Page
1482
Date Issued
2011-07
Date
2011
Author(s)
Shih-Chia Liu
Kuo-Szu Chiang
Cheng-Hsiang Lin
Deng, Ting-Chin
Abstract
Group testing is a method of pooling a number of units together and performing a single test on the resulting group. Group testing is an appealing option when few individual units are thought to be infected and the cost of the testing is non-negligible. Overdispersion is the phenomenon of having greater variability than predicted by the random component of the model; this is common in the modeling of binomial distribution for group testing. The purpose of this paper is to provide a comparison of several established methods of constructing confidence intervals after adjusting for overdispersion. We evaluate and investigate each method in six different cases of group testing. A method based on the score statistic with correction for skewness is recommended. We illustrate the methods using two data sets, one from the detection of seed transmission and the other from serological testing for malaria.
Subjects
group testing
confidence interval
quasi-likelihood
overdispersion
seed health assays
SDGs
Publisher
Taylor & Francis
Type
journal article