Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Using group testing to estimate a proportion, and to test the binomial model.

C L Chen1, W H Swallow

  • 1Department of Statistics, North Carolina State University, Raleigh 27695-8203.

Biometrics
|December 1, 1990
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Telomerase activity in rat liver allografts.

Transplantation·2001
Same author

Major hepatic resection may suppress the growth of tumours remaining in the residual liver.

British journal of cancer·2000
Same author

Multiorgan nuclear factor kappa B activation in a transgenic mouse model of systemic inflammation.

American journal of respiratory and critical care medicine·2000
Same author

Highly sensitive liquid chromatography-electrospray mass spectrometry (LC-MS) method for the determination of etoposide levels in human serum and plasma.

Journal of chromatography. B, Biomedical sciences and applications·2000
Same author

[Glucose isomerase gene knock-out by denatured double-stranded DNA].

Yi chuan xue bao = Acta genetica Sinica·2000
Same author

International sharing of split liver grafts in Asia: initial experience.

Clinical transplantation·2000
Same journal

Fast penalized generalized estimating equations for large longitudinal functional datasets.

Biometrics·2026
Same journal

Causally-interpretable random-effects meta-analysis.

Biometrics·2026
Same journal

Statistical inference for mean function of partially observed functional time series.

Biometrics·2026
Same journal

Subgroup identification via Interaction Tree and Mixed Model for Repeated Measures with application to Alzheimer's disease.

Biometrics·2026
Same journal

Finite mixtures of linear quantile regressions with concomitant variables: a solution to endogeneity in longitudinal data modeling.

Biometrics·2026
Same journal

Discussion on "INTACT: a method for integration of longitudinal physical activity data from multiple sources" by Jingru Zhang, Erjia Cui, Hongzhe Li, and Haochang Shou.

Biometrics·2026
See all related articles

Group testing efficiently classifies defective units when defect rates are low. This study explores group testing for estimating defect proportions, even at higher rates, optimizing group size for accuracy and robustness.

Area of Science:

  • Statistics
  • Operations Research
  • Quality Control

Background:

  • Group testing is a cost-effective strategy for identifying defective items.
  • It is particularly efficient when the proportion of defectives (p) is small.
  • Group testing can also estimate p, reducing mean squared error (MSE) and cost per unit information.

Purpose of the Study:

  • To investigate the utility of group testing for estimating defect proportions (p) at higher rates.
  • To analyze the impact of group size (k) on MSE and robustness to errors.
  • To evaluate methods for estimating p using unequal group sizes and testing model validity.

Main Methods:

  • Analysis of group testing procedures for classification and estimation.
  • Mathematical modeling to assess the effect of group size (k) on MSE and robustness.

Related Experiment Videos

  • Development of methods for estimating p with unequal group sizes.
  • Procedures for testing the validity of the binomial model.

    • Main Results:

    • Group testing is effective for estimating p even at larger proportions, with careful group size selection.
    • Excessively large group sizes increase MSE and reduce robustness to testing and model errors.
    • Retesting defective groups offers minimal cost savings for estimation but aids model validation.
    • Methods for estimating p from unequal group sizes and testing binomial model validity are presented.

    Conclusions:

    • Group testing offers a robust framework for both classification and estimation of defect proportions.
    • Optimal group size is crucial for balancing efficiency, accuracy, and robustness.
    • The presented methods enhance the applicability of group testing in quality control and statistical inference.