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Related Concept Videos

Propagation of Uncertainty from Random Error00:59

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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
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Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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Bayesian methods for uncertainty factor application for derivation of reference values.

Ted W Simon1, Yiliang Zhu2, Michael L Dourson3

  • 1Ted Simon LLC, 4184 Johnston Road, Winston, GA 30187, United States.

Regulatory Toxicology and Pharmacology : RTP
|May 24, 2016
PubMed
Summary
This summary is machine-generated.

This study refines the National Research Council

Keywords:
Bayesian methodsHazard assessmentReference concentrationReference doseRisk assessmentUncertainty factor

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Area of Science:

  • Environmental Health Risk Assessment
  • Toxicology
  • Bayesian Statistics

Background:

  • The EPA's Integrated Risk Information System (IRIS) process uses Reference Dose (RfD) and Reference Concentration (RfC) for non-carcinogen toxicity criteria.
  • The National Research Council (NRC) recommended Bayesian methods for applying uncertainty factors (UFs) to adjust toxicity criteria.
  • UFs account for uncertainties in extrapolating animal data to human populations and other variability.

Purpose of the Study:

  • To explore and refine the NRC's suggested Bayesian methodology for applying uncertainty factors in risk assessment.
  • To represent individual UFs as probability distributions rather than single values.
  • To improve the accuracy and transparency of RfD and RfC derivations.

Main Methods:

  • Applied Bayesian statistical methods to model individual uncertainty factors (UFs) as probability distributions.
  • Refined the NRC's approach by considering each UF separately within a Bayesian framework.
  • Examined 24 EPA IRIS program evaluations to test the refined methodology.

Main Results:

  • Representing individual UFs as distributions significantly increased the geometric mean fold change in RfD/RfC values, ranging from 3 to over 30.
  • The magnitude of change depended on the number of UFs applied and the assessment's complexity.
  • Demonstrated a more nuanced quantification of uncertainty compared to traditional methods.

Conclusions:

  • The refined Bayesian methodology provides a more robust approach to incorporating uncertainty in toxicity assessments.
  • This method enhances the precision of RfD and RfC values by treating UFs as distributions.
  • Recommendations are provided for implementing this refined methodology in regulatory risk assessment.