Group testing with blockers and synergism

Journal of the American Statistical Association

Volumn 96, Issue 453, 2001, Pages 92-102

  Xie, Minge ^a   Tatsuoka, Kay ^b   Sacks, Jerome ^b   Young, S Stanley ^c  

^a RUTGERS UNIVERSITY   (United States)

^b NATIONAL INSTITUTE OF ENVIRONMENTAL HEALTH SCIENCES   (United States)

^c GLAXOSMITHKLINE   (United States)

Author keywords

Cost efficiency; Drug discovery; EM algorithm; Estimation; Screening

Indexed keywords

EID: 1842766130     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1198/016214501750333009     Document Type: Article

References (18)

1. Brookmeyer, R. (1999), “Analysis of Multistage Pooling Studies of Biological Specimens for Estimating Disease Incidence and Prevalence,” Biometrics, 55, 608–612.
2. Chen, C. L., and Swallow, W. H. (1990), “Using Group Testing to Estimate a Proportion, and to Test the Binomial Model,” Biometrics, 46, 1035–1046.
3. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977), “Maximum Likelihood From Incomplete Data Via the EM Algorithm,” Journal of the Royal Statistical Society, Ser. B, 39, 1–22.
4. Dorfman, R. (1943), “The Detection of Defective Members of Large Populations,” Annals of Mathematical Sciences, 14, 436–440.
5. Feller, W. (1968), An Introduction to Probability Theory and Its Applications Vol. I, New York: Wiley.
6. Gastwirth, J. L., and Hammick, P. A. (1989), “Estimation of Prevalence of a Rare Disease, Preserving Anonymity of Subjects by Group Testing: Application to Estimating the Prevalence of AIDS Antibodies in Blood donors,” Journal of Statistical Planning and Inference, 22, 15–27.
7. Gastwirth, J. L., and Johnson, W. O. (1994), “Screening With Cost-Effective Quality Control: Potential Applications to HIV and Drug Testing,” Journal of the American Statistical Association, 89, 972–981.
8. Hammick, P. A., and Gastwirth, J. L. (1994), “Group Testing for Sensitive Characteristics: Extension to Higher Prevalence Levels,” International Statistical Review, 62, 319–331.
9. Hardwick, J., Page, C., and Stout, Q. (1998), “Sequentially Deciding Between Two Experiments for Estimating a Common Success Probability,” Journal of the American Statistical Association, 93, 1502–1511.
10. Hughes-Oliver, J. M., and Swallow, W. H. (1994), “A Two-Stage Adaptive Group-Testing Procedure for Estimating Small Proportions,” Journal of the American Statistical Association, 89, 982–993.
11. Langfeldt, S. A., Hughes-Oliver, J. M., Ghosh, S., and Young, S. S. (1997), “Optimal Group Testing in the Presence of Blockers,” Institute of Statistics Mimeograph Series 2297, North Carolina State University, Dept. of Statistics.
12. Litvak, E., Tu, X. M., and Pagano, M. (1994), “Screening for the Presence of a Disease by Pooling Sera Samples,” Journal of the American Statistical Association, 89, 424–434.
13. Phatarfod, R. M., and Sudbury, A. (1994), “The Use of a Square Array Scheme in Blood Testing,” Statistics in Medicine, 13, 2337–2343.
14. Redman, C. E., and King, E. P. (1965), “Group Screening Utilizing Balanced and Partially Balanced Incomplete Block Designs,” Biometrics, 21, 865–874.
15. Sobel, M., and Elashoff, R. M. (1975), “Group Testing With a New Goal, Estimation,” Biometrika, 62, 181–194.
16. Tanner, M. (1993), Tools for Statistical Inference, New York: Springer-Verlag.
17. Tierney, L. (1994), “Markov Chains for Exploring Posterior Distributions,” The Annals of Statistics, 22, 1701–1762.
18. Yao, Y. C., and Hwang, F. K. (1990), “On Optimal Nested Group Testing Algorithms,” Journal of Statistical Planning and Inference, 24, 167–175.