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Estimation of log-odds ratio from group testing data using Firth correction.

Surupa Roy1, Tathagata Banerjee2

  • 1Department of Statistics, St Xavier's College, Kolkata, India.

Biometrical Journal. Biometrische Zeitschrift
|January 16, 2019
PubMed
Summary
This summary is machine-generated.

Estimating rare disease prevalence and log-odds ratios is challenging. Firth correction improves log-odds ratio estimation, and group testing offers more precise results with imperfect diagnostic tests.

Keywords:
Firth correctionexposure statusmaximum likelihood estimateprevalence of a diseasesensitivityspecificity

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Area of Science:

  • Biostatistics
  • Epidemiology
  • Medical Statistics

Background:

  • Estimating disease prevalence and group-specific log-odds ratios is crucial for public health.
  • Group testing offers a cost-effective approach for disease surveillance, especially for rare conditions.
  • Standard estimation methods can be biased, particularly in low-prevalence scenarios.

Purpose of the Study:

  • To evaluate methods for estimating rare disease prevalence and log-odds ratios using group testing data.
  • To assess the impact of Firth correction on the bias of log-odds ratio estimators.
  • To compare the precision of group testing versus individual testing for log-odds ratio estimation with imperfect diagnostic tests.

Main Methods:

  • Utilized maximum likelihood estimation for log-odds ratio estimation from group testing data.
  • Applied Firth correction to the score function to mitigate bias in estimators.
  • Simulated scenarios with low disease prevalence and imperfect diagnostic tests.

Main Results:

  • Maximum likelihood estimates of the log-odds ratio are severely biased for low-prevalence diseases.
  • Firth correction significantly improves the accuracy of the log-odds ratio estimator.
  • Group testing provides more precise log-odds ratio estimates than individual testing when diagnostic tests are imperfect.

Conclusions:

  • Firth correction is a valuable technique for reducing bias in log-odds ratio estimation from group testing data, especially for rare diseases.
  • Group testing, even with imperfect diagnostics, can be more efficient than individual testing for estimating group differences in disease risk.
  • These findings have implications for optimizing surveillance strategies for rare diseases.