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Bayesian Inference for Multinomial Group Testing
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 Title & Authors
Bayesian Inference for Multinomial Group Testing
Heo, Tae-Young; Kim, Jong-Min;
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This paper consider trinomial group testing concerned with classification of N given units into one of k disjoint categories. In this paper, we propose Bayesian inference for estimating individual category proportions using the trinomial group testing model proposed by Bar-Lev et al. (2005). We compared a relative efficience (RE) based on the mean squared error (MSE) of MLE and Bayes estimators with various prior information. The impact of different prior specifications on the estimates is also investigated using selected prior distribution. The impact of different priors on the Bayes estimates is modest when the sample size and group size we large.
Group testing;trinomial distribution;interval estimator;Bayesian;Dirichlet distribution;
 Cited by
Bar-Lev, S. K., Stadje, W. and van der Duyn Schouten, F. A. (2005). Multinomial group testing models with incomplete identification. Journal of Statistical Planning and Inference, 135, 384-401 crossref(new window)

Chaubey, Y. P. and Li, W. (1995). Comparison between maximum likelihood and Bayes methods for estimation of binomial probability with sample compositing. Journal of Official Statistics, 11, 379-390

Chick, S. E. (1996). Bayesian models for limiting dilution assay and group test data. Biometrics, 52, 1055-1062 crossref(new window)

Dorfman, R. (1943). The detection of defective members of large populations. The Annals of Mathematical Statistics, 14,436-440 crossref(new window)

Hughes-Oliver, J. M. and Rosenberger, W. F. (2000). Efficient estimation of the prevalence of multiple rare traits. Biometrika, 87, 315-327 crossref(new window)

Kumar, S. (1970a). Multinomial group-testing. SIAM Journal of on Applied Mathematics, 19, 340-350 crossref(new window)

Kumar, S. (1970b). Group-testing to classify all units in a trinomial sample. Studia Scientiarum Mathematicarum Hungarica, 5, 229-247

Kumar, S. (1972). Trinomial group-testing with an unknown proportion of units in the three categories. Annals of the Institute of Statistical Mathematics, 24, 171-181 crossref(new window)

Kwon, S. (2004). Bayes estimators in group testing. The Korean Communication in Statistics, 11, 619-630 crossref(new window)

Pfeiffer, R. M., Rutter, J. L., Gail, M., Struewing, J. and Gastwirth, J. L. (2002). Efficiency of DNA pooling to estimate joint allele frequencies and measure linkage disequilibrium. Genetic Epidemiology, 22, 94-102 crossref(new window)

Tebbs, J. M., Bilder, C. R. and Moser, B. K. (2003). An empirical Bayes group-testing approach to estimating small proportions. Communications in Statistics: Theory and Methods, 32, 983-995 crossref(new window)

Xie, M. (2001). Regression analysis of group testing samples. Statistics in Medicine, 20, 1957-1969 crossref(new window)

Zhu, L., Hughes-Oliver, J. M. and Young, S. S. (2001). Statistical decoding of potent pools based on chemical structure. Biometrics, 57, 922-930 crossref(new window)