Discrete Compound Tests and Dorfman’s Methodology in the Presence of Misclassification
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Compound tests can be used to save resources for classification or estimation purposes in clinical trials and quality control. Nevertheless, the methodologies that are usually applied are restricted to qualitative group tests. Moreover, when quantitative compound tests are applied the problem is to ascertain whether the amount of some substance of any individual in the group is greater or lower than a prefixed threshold. An overview of the applications of the discrete compound tests highlights the advantages (to save resources) and disadvantages (higher probability of misclassification), and suggests criteria to assess the suitability of applying Dorfman’s methodology.
KeywordsCompound tests Misclassification Simulation Quality measure
The authors thank the referees for their very useful comments. Research partially sponsored by national funds through the Fundação Nacional para a Ciência e Tecnologia, Portugal — FCT under the projects PEst-OE/MAT/UI0006/2011 and PEst-OE/MAT/UI0006/2014.
- 2.Bilder, C.R., Zang, B., Schaarschmidt, F., Tebbs, J.M.: binGroup: a package for group testing. R J. 2, 56–60 (2010)Google Scholar
- 6.Finucan, H.M.: The blood testing problem. Appl. Stat.—J. R. St. C 13, 43–50 (1964)Google Scholar
- 7.Garner, F.C., Stapanian, M.A., Yfantis, E.A., Williams, L.R.: Probability estimation with sample compositing techniques. J. Off. Stat. 5, 365–374 (1989)Google Scholar
- 9.Hughes-Oliver, J.M.: Pooling experiments for blood screening and drug discovery. Screening—Methods for Experimentation in Industry, Drug Discovery, and Genetics, pp. 48–68. Springer, New York (2006)Google Scholar
- 17.Loyer, M.W.: Bad probability, good statistics, and group testing for binomial estimation. Am. Stat. 37, 57–59 (1983)Google Scholar
- 18.Martins, J.P., Santos, R., Sousa, R.: Testing the maximum by the mean in quantitative group tests. In: Pacheco et al. (eds.), New Advances in Statistical Modeling and Applications, pp. 55–63. Springer, Berlin (2014)Google Scholar
- 21.Santos, R., Pestana, D., Martins, J.P.: Extensions of Dorfman’s theory. In: Oliveira, P.E., et al. (eds.) Studies in Theoretical and Applied Statistics, Recent Developments in Modeling and Applications in Statistics, pp. 179–189. Springer, Berlin (2013)Google Scholar