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Benchmark dose calculation for ordered categorical responses.

Chu-Chih Chen1, James J Chen

  • 1Division of Biostatistics and Bioinformatics, Institute of Population Health Sciences, National Health Research Institutes, Zhunan, Taiwan.

Risk Analysis : an Official Publication of the Society for Risk Analysis
|January 22, 2014
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Summary

This study introduces a novel categorical regression (CATREG) model to extend benchmark dose (BMD) calculations for ordered categorical toxicological responses. The method effectively integrates severity levels, providing a robust approach for risk assessment.

Keywords:
Categorical regressionMarkov chain Monte Carlo simulationinterval censoringloss functionmisspecification probability

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Area of Science:

  • Toxicology
  • Risk Assessment
  • Statistical Modeling

Background:

  • Benchmark Dose (BMD) calculations are standard for dichotomous and continuous toxicological responses.
  • Ordinal severity effects (e.g., none, mild, adverse, severe) present challenges for traditional BMD analysis.
  • Categorical Regression (CATREG) has been explored but its utility in BMD risk assessment is not fully established.

Purpose of the Study:

  • To propose and validate a CATREG model for extending the BMD approach to ordered categorical responses.
  • To model severity levels as censored interval limits of a standard normal distribution for BMD calculation.
  • To provide a unified framework linking BMD procedures for dichotomous, continuous, and categorical data.

Main Methods:

  • Developed a CATREG model where ordinal severity levels are treated as censored interval limits.
  • Calculated BMD as a weighted average of BMDs at dichotomous cutoffs for each adverse severity level.
  • Employed Markov chain Monte Carlo (MCMC) simulation for parameter estimation.
  • Validated the method using aldicarb and urethane datasets with multiple severity categories.

Main Results:

  • The proposed CATREG model successfully extends BMD calculations to ordered categorical data.
  • Simulation studies showed compatible BMD and BMDL estimates compared to existing dichotomous and continuous methods.
  • The primary difference in results was attributed to the selection of cutoffs for severity levels.

Conclusions:

  • The developed CATREG model offers a viable extension of the BMD approach for ordered categorical toxicological data.
  • This method enhances risk assessment by providing a consistent framework across different response types.
  • The choice of cutoffs for severity levels is a key factor influencing the final BMD estimates.