Home
> Group testing research If you find this
research useful, I would be interested in hearing about how you are using
group testing! Please send me an email at
chris@chrisbilder.com.
Grants funded:
A news story about the research for NIH award R01 AI121351 is available at
Nebraska Today.
Journal article web pages containing programs, tables,
and other important items:
 Hou, P., Tebbs, J., Wang, D., McMahan, C., and Bilder, C. (2017).
Array testing with multiplex assays. Submitted for publication.
 Wang, D., McMahan, C., Tebbs, J., and Bilder, C. (2017).
Group testing case identification with biomarker information. To appear in Computational Statistics and Data Analysis.
 McMahan, C., Tebbs, J., Hanson, T., and Bilder, C. (2017).
Bayesian regression for group testing data. Biometrics 73(4), 14431452.
 Warasi, M., McMahan, C., Tebbs, J., and Bilder, C. (2017).
Group testing regression models with dilution submodels. Statistics in Medicine 36(30), 48604872.
 Hou, P., Tebbs, J., Bilder, C., and McMahan, C. (2017).
Hierarchical group testing for multiple infections. Biometrics 73(2), 656665.
 Warasi, M., Tebbs, J., McMahan, C., and Bilder, C. (2016).
Estimating the prevalence of multiple diseases from twostage hierarchical pooling. Statistics in Medicine
35(21), 35813864.
 Black, M., Bilder, C., and Tebbs, J. (2015).
Optimal retesting configurations for hierarchical group testing. Journal of the Royal Statistical Society:
Series C (Applied Statistics) 64(4), 693710.
 Tebbs, J., McMahan, C., and Bilder, C. (2013).
Twostage hierarchical group testing for multiple infections with
application to the Infertility Prevention Project.
Biometrics 69(4), 10641073. Winner of the ASA's 2014 Outstanding
Statistical Application Award:
 McMahan, C., Tebbs, J., and Bilder, C. (2013).
Regression models for group testing data with pool dilution effects. Biostatistics
14(2), 284298.
 Zhang, B., Bilder, C., and
Tebbs, J. (2013). Regression analysis for multipledisease group
testing data. Statistics in Medicine 32(28), 49544966.
 Bilder, C. and Tebbs, J.
(2012). Pooled testing procedures for screening high volume clinical
specimens in heterogeneous populations. Statistics in Medicine
31(27), 32613268.
 McMahan, C., Tebbs, J., and Bilder, C. (2012).
Twodimensional informative array testing.
Biometrics 68(3), 793804.
 McMahan, C., Tebbs, J., and Bilder,
C.
(2012). Informative Dorfman Screening. Biometrics
68(1), 287296.
 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), 942955.
 Bilder, C.
(2009). Human or Cylon? Group Testing on Battlestar Galactica.
Chance 22(3), 4650. (Corresponding presentation is at
www.chrisbilder.com/bsg)
 Chen, P., Tebbs, J., and Bilder,
C. (2009).
Group Testing Regression Models with Fixed and Random Effects. Biometrics
65(4), 12701278.
 Bilder, C. and Tebbs, J. (2009).
Bias, efficiency, and agreement for grouptesting regression models.
Journal of
Statistical Computation and Simulation 79(1), 6780.
 Bilder, C. and Tebbs,
J. (2005).
Empirical Bayesian estimation of the disease transmission probability in
multiplevectortransfer designs.
Biometrical
Journal 47(4), 502516.

Tebbs,
J. and Bilder, C. (2004). Confidence interval
procedures for the probability of disease transmission in
multiplevectortransfer designs.
Journal of
Agricultural, Biological, and Environmental Statistics
9(1), 7590.
Journal articles without web pages:
 McMahan, C., Tebbs, J., and Bilder, C. (2015).
Rejoinder to "A note on the evaluation of group testing algorithms in the presence of misclassification."
Biometrics 72(1), 303304.
 Zhang, B., Bilder, C., and Tebbs, J. (2013). Group
testing regression model estimation when case identification is a goal. Biometrical Journal
55(2), 173189.
 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), 277290.
 Bilder, C., Zhang, B., Schaarschmidt, F., and
Tebbs, J. (2010).
binGroup: A Package for Group Testing,
The R
Journal 2(2), 5660.
 Chen, P., Tebbs, J., and Bilder, C. (2009).
Global Goodnessoffit for Group Testing Regression Models.
Statistics in Medicine 28(23), 29122928.
 Tebbs, J. and Bilder, C. (2006).
Hypothesis tests for and against a simple order among proportions
estimated by pooled testing.
Biometrical
Journal 48(5), 792804.
 Bilder, C. (2005). Group testing model
estimation and inference. 2005 Proceedings of the American
Statistical Association, Biometrics Section [CDROM], Alexandria,
VA: American Statistical Association, 177182.
 Bilder, C. and Tebbs, J. (2004).
Empirical Bayesian estimation of the disease transmission probability in
multiplevectortransfer designs. 2004
Proceedings of the American Statistical Association, Biometrics
Section [CDROM], Alexandria, VA: American Statistical Association,
277284.
 Tebbs, J., Bilder, C., and Moser, B.
(2003). An Empirical Bayes GroupTesting Approach to Estimating Small
Proportions.
Communications in Statistics: Theory and Methods
32(5), 983995.
Software:
Some areas where
Dr. Joshua M. Tebbs,
Dr. Christopher S. McMahan, and I have used group testing in our joint
research:
Presentations:
 Bilder, C., Tebbs, J., and McMahan, C. "Hierarchical group testing with multiplex assays in heterogeneous populations,"
Accepted contributed oral presentation, Royal Statistical Society International Conference,
September 6, 2017; Glasgow, Scotland.
 Bilder, C., Tebbs, J., and McMahan, C. "Hierarchical group testing with multiplex assays in heterogeneous populations,"
Accepted contributed oral presentation, Joint Conference on Biometrics & Biopharmaceutical Statistics,
August 30, 2017; Vienna, Austria.
 Bilder, C., Tebbs, J., and McMahan, C. "Informative group testing for multiplex assays,"
Contributed speed session presentation, Joint Statistical Meetings, July 31, 2017; Baltimore, MD.
 Tebbs, J., McMahan, C., Hanson, T., and Bilder, C.
"Bayesian regression for group testing data," Contributed paper, Conference on Applied Statistics in Agriculture, April 24, 2017; Manhattan, KS.
 Mou, X., Tebbs, J., McMahan, C., and Bilder, C. "Backend disease screening using information theory,"
Contributed paper, IBS ENAR meetings, March 15, 2017; Washington, DC.
 Bilder, C., Tebbs, J., McMahan, C., and Hitt, B. "Optimal pool sizes for group
testing,"
Contributed poster, IBS ENAR meetings, March 12, 2017; Washington, DC.
 McMahan, C., Tebbs, J., and Bilder, C. "Bayesian regression of group testing data,"
Contributed poster, IBS ENAR meetings, March 12, 2017; Washington, DC.
 Warasi, M., Tebbs, J., McMahan, C., and Bilder, C. "Using hierarchical group testing to estimate the prevalence of multiple diseases,"
Contributed poster, IBS ENAR meetings, March 12, 2017; Washington, DC.
 Bilder, C., Tebbs, J., McMahan, C., and Hitt, B. "Objective functions for group testing,"
Accepted contributed paper, International Biometric Conference, July 15, 2016; Victoria, BC.
 Hou, P., Tebbs, J., and Bilder, C. "Hierarchical group testing for multiple infections,"
Contributed paper, IBS ENAR meetings, March 17, 2015; Miami, FL. (Student travel award winning paper)
 Bilder, C., Tebbs, J., and Black, M. "Multistage
group testing with heterogeneous probabilities of disease positivity,"
Contributed paper, WNAR/IMS Conference, June 18, 2014; Honolulu, HI.
 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 4, 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 4, 2013; Montreal, QC.
 Black, M., Bilder, C., and Tebbs, J. "Optimal
retesting configurations for hierarchical group testing," Topic
contributed paper, Joint Statistical Meetings, August 4, 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 multipledisease group testing data," Invited paper,
IBS ENAR meetings, April 2, 2012; Washington, DC.
 McMahan, C., Tebbs, J., and Bilder, C.,
"Twodimensional 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. (Student travel award winning paper)
 Bilder, C. "Decoding
positive groups through halving," Invited seminar, Department of
Statistics, University of South Carolina, January 20, 2011; Columbia, SC.
 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
scifi problems," Departmental seminar, Department of Statistics,
University of NebraskaLincoln, 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 NebraskaLincoln, 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
multiplevectortransfer 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
multiplevectortransfer 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 multiplevector transfer designs,"
Conference on Applied Statistics in Agriculture, April 28, 2003;
Manhattan, KS.
 Bilder, C. and Tebbs, J. "Estimating the
diseasetransmission probability in multiplevector transfer designs,"
Invited seminar, Oklahoma Chapter of the American Statistical
Association, April 10, 2003; Stillwater, OK.
