Oklahoma State University

 Graduation Spring 2014c


Welcome to the OSU Department of Statistics


The Statistics Department at Oklahoma State University is the only statistics department in the state of Oklahoma.  The department offers courses in both undergraduate and graduate degree programs.  Our graduates are in demand in the areas of:  education, actuarial science, health care, agriculture research, marketing research, money and banking and many more disciplines.


OSU Department of Statistics

301 MSCS (Math Statistics and Computer Sciences)

Stillwater, OK  74078-1056


Office:  405-744-5684

FAX:  405-744-3533



Seminar:  Friday, September 19 at 2:30pm

MSCS 310 

Dr. Melinda H. McCann

Professor of Statistics



Dr. Joshua M. Tebbs

Associate Professor of Statistics

University of South Carolina


Simultaneous Inference for Prevalence Using Pooled Assessments


When estimating the prevalence of a rare trait such as human immunodeficiency virus (HIV), the use of pooled testing can confer substantial benefits when compared to individual testing. In addition to screening experiments for infectious diseases, pooled testing has been used in other applications as well, including drug testing, multiple-vector transfer designs in plant pathology, and epidemiological studies involving animal disease. Within a pooled-testing context, we consider situations wherein different strata or treatments are to be compared with the goals of assessing practical differences between strata and ranking strata in terms of prevalence. To achieve these goals, we first derive two simultaneous pairwise interval estimation procedures for us with pooled data. Our procedures rely on asymptotic results, so we investigate small-sample behavior and compare the two procedures in terms of simultaneous coverage probability and mean interval length. We then present a unified approach to determining pool sizes which deliver desired coverage properties while taking testing costs and interval precision into account. We illustrate our methods using data from an observational HIV study involving heterosexual males who use intravenous drugs.


Some key words: Confidence intervals; Group testing; HIV seroprevalence estimation; Pairwise comparisons; Proportion; Vector-transfer design.



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