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Generalized additive regression for group testing data.

Yan Liu1, Christopher S McMahan2, Joshua M Tebbs3

  • 1School of Community Health Sciences, University of Nevada, Reno, 1664 N. Virginia St, Reno, NV 89557, USA.

Biostatistics (Oxford, England)
|February 16, 2020
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Summary
This summary is machine-generated.

Group testing offers cost-effective disease screening for low-prevalence conditions. A new Bayesian approach models disease probability using flexible regression, improving accuracy for group testing data with potential misclassification.

Keywords:
Bayesian regressionBinary regressionGaussian predictive processGaussian processPooled testingSpecimen pooling

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Area of Science:

  • Biostatistics
  • Epidemiology
  • Public Health

Background:

  • Group testing is a cost-effective strategy for screening low-prevalence diseases.
  • Traditional regression methods for group testing often assume linear covariate effects, which can lead to biased results.
  • Accurate estimation of disease probability requires flexible modeling of covariate relationships.

Purpose of the Study:

  • To propose a flexible Bayesian generalized additive regression framework for analyzing group testing data.
  • To accommodate potentially misclassified assay results within the group testing framework.
  • To estimate smooth functions of covariates, linear effects, and assay accuracy probabilities.

Main Methods:

  • Bayesian generalized additive regression modeling.
  • Incorporation of smooth functions for covariate effects.
  • Estimation of assay classification accuracy probabilities.
  • Application to group testing data with potential misclassification.

Main Results:

  • The proposed method provides a flexible framework for analyzing complex group testing data.
  • It allows for the estimation of non-linear covariate effects and assay accuracy.
  • Demonstrated utility using chlamydia infection data from Iowa.

Conclusions:

  • The Bayesian generalized additive regression approach offers a more robust and flexible alternative to linear models for group testing data.
  • This method enhances the accuracy of disease probability estimation in screening applications.
  • The framework is applicable to various group testing protocols and disease surveillance scenarios.