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The objective function controversy for group testing: Much ado about nothing?

Brianna D Hitt1, Christopher R Bilder1, Joshua M Tebbs2

  • 1Department of Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska.

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Summary
This summary is machine-generated.

Group testing for infectious diseases relies on optimal testing configurations (OTCs). This study shows that different objective functions yield similar OTCs and results, resolving a recent controversy in laboratory testing methods.

Keywords:
binary responseinfectious diseasepooled testingscreeningsensitivityspecificity

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Area of Science:

  • Laboratory Medicine
  • Infectious Disease Diagnostics
  • Biostatistics

Background:

  • Group testing is crucial for high-volume infectious disease testing.
  • Selecting optimal group sizes (optimal testing configurations or OTCs) is a key implementation decision.
  • Disagreement exists regarding the best objective function for determining OTCs.

Purpose of the Study:

  • To evaluate and compare different objective functions for determining optimal testing configurations in infectious disease group testing.
  • To investigate whether the choice of objective function significantly impacts testing outcomes.

Main Methods:

  • Examined two common objective functions used in group testing.
  • Analyzed these functions across various realistic scenarios for infectious disease testing.
  • Compared the resulting optimal testing configurations and their associated metrics (e.g., number of tests, accuracy).

Main Results:

  • The choice of objective function had minimal impact on the resulting optimal testing configurations.
  • Different objective functions led to largely similar numbers of tests and accuracy levels.
  • The controversy regarding the best objective function appears to be unsubstantiated for standard algorithms.

Conclusions:

  • The selection of objective functions for determining optimal testing configurations in group testing is less critical than previously debated.
  • Standard testing algorithms produce consistent results across different objective functions for infectious disease diagnostics.
  • This finding simplifies decision-making for laboratories implementing group testing strategies.