If you find this research useful, I would be interested in hearing about how you are using group testing! Please send me an e-mail at chris@chrisbilder.com.

Grants funded:

• National Institutes of Health award #R01AI067373 (2007-2011), Disease Detection and Prevalence Estimation through Informative Group Testing, National Institute of Allergy and Infectious Diseases.
  • Information on RePORT

Journal article web pages containing programs, tables, and other important items:

• Zhang, B., Bilder, C., and Tebbs, J. (2013). Regression analysis for multiple-disease group testing data. To appear in Statistics in Medicine.
• McMahan, C., Tebbs, J., and Bilder, C. (2013). Regression models for group testing data with pool dilution effects. Biostatistics 14(2), 284-298.
• McMahan, C., Tebbs, J., and Bilder, C. (2012). Two-dimensional informative array testing. Biometrics 68(3), 793-804.
• McMahan, C., Tebbs, J., and Bilder, C. (2012). Informative Dorfman Screening. Biometrics 68(1), 287-296.
• Bilder, C. and Tebbs, J. (2011). Informative Retesting Procedures to Assay High Volume Clinical Specimens. Paper for the 58th World Statistics Congress of the International Statistical Institute.
• Bilder, C., Tebbs, J., and Chen, P. (2010). Informative Retesting. Journal of the American Statistical Association 105(491), 942-955.
• Bilder, C. (2009). Human or Cylon? Group Testing on Battlestar Galactica. Chance 22(3), 46-50. (Corresponding presentation is at www.chrisbilder.com/bsg; Springer web page where the PDF can be obtained)
• Chen, P., Tebbs, J., and Bilder, C. (2009). Group Testing Regression Models with Fixed and Random Effects. Biometrics 65(4), 1270-1278.
• Bilder, C. and Tebbs, J. (2009).  Bias, efficiency, and agreement for group-testing regression models.  Journal of Statistical Computation and Simulation 79(1), 67-80. 
• Bilder, C. and Tebbs, J. (2005).  Empirical Bayesian estimation of the disease transmission probability in multiple-vector-transfer designs.  Biometrical Journal 47(4), 502-516. 
• Tebbs, J. and Bilder, C. (2004).  Confidence interval procedures for the probability of disease transmission in multiple-vector-transfer designs.  Journal of Agricultural, Biological, and Environmental Statistics 9(1), 75-90. 

Journal articles without web pages:

• Zhang, B., Bilder, C., and Tebbs, J. (2013). Group testing regression model estimation when case identification is a goal. Biometrical Journal 55(2), 173-189.
• Bilder, C. and Tebbs, J. (2012). Pooled testing procedures for screening high volume clinical specimens in heterogeneous populations. Statistics in Medicine 31(27), 3261-3268.
• Black, M., Bilder, C., and Tebbs, J. (2012). Group testing in heterogeneous populations by using halving algorithms. Journal of the Royal Statistical Society: Series C (Applied Statistics) 61(2), 277-290.
• Bilder, C., Zhang, B., Schaarschmidt, F., and Tebbs, J. (2010). binGroup: A Package for Group Testing, The R Journal 2(2), 56-60.
• Chen, P., Tebbs, J., and Bilder, C. (2009). Global Goodness-of-fit for Group Testing Regression Models. Statistics in Medicine 28(23), 2912-2928.
• Tebbs, J. and Bilder, C. (2006).  Hypothesis tests for and against a simple order among proportions estimated by pooled testing.  Biometrical Journal 48(5), 792-804.
• Bilder, C. (2005).  Group testing model estimation and inference.  2005 Proceedings of the American Statistical Association, Biometrics Section [CD-ROM], Alexandria, VA: American Statistical Association, 177-182.
• Bilder, C. and Tebbs, J. (2004).  Empirical Bayesian estimation of the disease transmission probability in multiple-vector-transfer designs.  2004 Proceedings of the American Statistical Association, Biometrics Section [CD-ROM], Alexandria, VA: American Statistical Association, 277-284.
• Tebbs, J., Bilder, C., and Moser, B. (2003).  An Empirical Bayes Group-Testing Approach to Estimating Small Proportions. Communications in Statistics: Theory and Methods 32(5), 983-995.

Software:

• Zhang, B., Bilder, C., and Schaarschmidt, F. (2009). binGroup: Evaluation and experimental design for binomial group testing. R package version 1.0-3.
  • Technical report for fitting regression models with matrix pooling

Some areas where Dr. Joshua M. Tebbs and I have used group testing in our joint research:

• Multiple-vector-transfer designs
• Testing of blood samples for diseases

Presentations:

• Tebbs, J., McMahan, C., and Bilder, C., "Group testing for multiple infections with application to the Infertility Prevention Project," Topic contributed paper, Joint Statistical Meetings, August 2013; Montreal, QC.
• McMahan, C., Tebbs, J., Hanson, T., and Bilder, C., "Bayesian regression models for group testing data," Topic contributed paper, Joint Statistical Meetings, August 2013; Montreal, QC.
• Black, M., Bilder, C., and Tebbs, J. "Optimal retesting configurations for hierarchical group testing," Topic contributed paper, Joint Statistical Meetings, August 2013; Montreal, QC.
• McMahan, C., Tebbs, J., and Bilder, C., "Regression models for group testing data with pool dilution effects," Contributed paper, IBS ENAR meetings, March 11, 2013; Orlando, FL.
• Zhang, B., Bilder, C., and Tebbs, J., "Incorporating retests into group testing regression model estimation," Contributed paper, Joint Statistical Meetings, August 2012; San Diego, CA.
• Bilder, C., Zhang, B., and Tebbs, J., "Marginal regression models for multiple-disease group testing data," Invited paper, IBS ENAR meetings, April 2, 2012; Washington, DC. (video embedded within HTML file)
• McMahan, C., Tebbs, J., and Bilder, C., "Two-dimensional informative array testing," Invited paper, IBS ENAR meetings, April 2, 2012; Washington, DC.
• McMahan, C., Tebbs, J., and Bilder, C., "Regression models for group testing data with pool dilution effects," Contributed paper, IBS ENAR meetings, April 1, 2012; Washington, DC.
• Peng, Y., Tebbs, J., and Bilder, C., "Dorfman group screening with multiple infections," Contributed paper, IBS ENAR meetings, April 1, 2012; Washington, DC.
• Bilder, C. and Tebbs, J., "Informative retesting procedures to assay high volume clinical specimens," Accepted contributed paper, 58th World Statistics Congress of the International Statistical Institute, August 24, 2011; Dublin, Ireland.
• Zhang, B., Bilder, C., and Tebbs, J. "Group testing regression models for multiple traits," Contributed poster, Joint Statistical Meetings, August 2, 2011; Miami Beach, FL.
• Bilder, C., Iwen, P., and Tebbs, J., "Alternative pooled testing procedures to evaluate high volume clinical specimens," Accepted contributed poster, Association of Public Health Laboratories Annual Meeting, June 6, 2011; Omaha, NE.
• Bilder, C. and Tebbs, J., "Using pooled testing to screen heterogeneous populations," Accepted contributed poster, Thirteenth Biennial CDC Symposium on Statistical Methods, May 24, 2011; Decatur, GA.
• McMahan, C., Tebbs, J., and Bilder, C. "Informative Dorfman screening," Contributed paper, IBS ENAR meetings, March 22, 2011; Miami, FL.
• Bilder, C. "Decoding positive groups through halving," Invited seminar, Department of Statistics, University of South Carolina, January 20, 2011; Columbia, SC. (video .mp4 file - 46MB; video embedded within HTML file - initially loads slowly)
• Black, M., Bilder, C., and Tebbs, J. "Group testing in heterogeneous populations using halving algorithms," Topic contributed paper, 2010 Joint Statistical Meetings, August 3, 2010; Vancouver, BC.
• McMahan, C., Tebbs, J., and Bilder, C. "Informative array screening," Contributed poster, 2010 Joint Statistical Meetings, August 2, 2010; Vancouver, BC.
• Bilder, C., Zhang, B., Schaarschmidt, F., and Tebbs, J. "binGroup: a package for group testing," Contributed paper, UseR! 2010, July 21, 2010; Gaithersburg, MD.
• Bilder, C. "Turning data into knowledge to solve sci-fi problems," Departmental seminar, Department of Statistics, University of Nebraska-Lincoln, September 2, 2009; Lincoln, NE.
• Bilder, C., Tebbs, J., and Chen, P. "Informative retesting," Contributed poster, 2009 Joint Statistical Meetings, August 4, 2009; Washington, DC.
• Tebbs, J., Chen, P., and Bilder, C. "Inference for variance components in generalized linear mixed models for pooled binary response," Contributed paper, 2009 IBS ENAR meetings, March 18, 2009; San Antonio, TX.
• Bilder, C. "Human or Cylon? Group testing on the Battlestar Galactica to save humanity," Invited seminar, Department of Statistics, Kansas State University, November 14, 2008; Manhattan, KS.
• Bilder, C. "Human or Cylon? Group testing on the Battlestar Galactica," Invited seminar, Department of Statistics, University of Missouri, October 5, 2007; Columbia, MO.
• Bilder, C. "Cylon detection through group testing," Invited seminar, Department of Statistics and Actuarial Science, Simon Fraser University, April 13, 2007; Burnaby, BC.
• Bilder, C. "Just group it!" Invited seminar, Department of Preventive and Societal Medicine and Department of Internal Medicine Section of Infectious Diseases, University of Nebraska Medical Center, November 17, 2005; Omaha, NE. (This was an introduction to group testing and a discussion of my NIH/NIAID grant proposal)
• Bilder, C. "Just group it!" Departmental seminar, Department of Statistics, University of Nebraska-Lincoln, September 7, 2005; Lincoln, NE. (This was just an introduction to group testing)
• Bilder, C. "Group testing model estimation and inference," Contributed poster, 2005 Joint Statistical Meetings, August 8, 2005; Minneapolis, MN. (handout)
• Bilder, C. and Tebbs, J. "Improved group testing estimation of trait prevalence," Contributed poster, 2005 IBS ENAR meetings, March 20, 2005; Austin, TX.
• Bilder, C. and Tebbs, J. "Empirical Bayesian estimation of the disease transmission probability in multiple-vector-transfer designs," Contributed poster, 2004 Joint Statistical Meetings, August 10, 2004; Toronto, ON.
• Tebbs, J. and Bilder, C.  "Confidence interval procedures for the probability of disease transmission in multiple-vector-transfer designs," Contributed paper, 2003 Joint Statistical Meetings, August 5, 2003; San Francisco, CA.
• Tebbs, J. and Bilder, C.  "New interval estimation procedures for the disease transmission probability in multiple-vector transfer designs," Conference on Applied Statistics in Agriculture, April 28, 2003; Manhattan, KS.  
• Bilder, C. and Tebbs, J. "Estimating the disease-transmission probability in multiple-vector transfer designs," Invited seminar, Oklahoma Chapter of the American Statistical Association, April 10, 2003; Stillwater, OK.  

Please see Joshua M. Tebbs' web page for more presentations.