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Confidence interval procedures for proportions estimated by group testing with groups of unequal size adjusted for overdispersion

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  • Shih-Chia Liu
  • Kuo-Szu Chiang
  • Cheng-Hsiang Lin
  • Ting-Chin Deng

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.

Suggested Citation

  • Shih-Chia Liu & Kuo-Szu Chiang & Cheng-Hsiang Lin & Ting-Chin Deng, 2011. "Confidence interval procedures for proportions estimated by group testing with groups of unequal size adjusted for overdispersion," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(7), pages 1467-1482, June.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:7:p:1467-1482
    DOI: 10.1080/02664763.2010.505953
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    References listed on IDEAS

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    1. M. Hung & William H. Swallow, 1999. "Robustness of Group Testing in the Estimation of Proportions," Biometrics, The International Biometric Society, vol. 55(1), pages 231-237, March.
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    Cited by:

    1. Graham Hepworth & Brad J. Biggerstaff, 2017. "Bias Correction in Estimating Proportions by Pooled Testing," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 22(4), pages 602-614, December.

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