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Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

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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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Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

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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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Uncertainty: Overview00:59

Uncertainty: Overview

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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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Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

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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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Types of Biopharmaceutical Studies: Controlled and Non-Controlled Approaches01:23

Types of Biopharmaceutical Studies: Controlled and Non-Controlled Approaches

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Biopharmaceutical studies constitute a vital field aiming to enhance drug delivery methods and refine therapeutic approaches, drawing upon diverse interdisciplinary knowledge. In research methodologies, the choice between controlled and non-controlled studies significantly influences the study's reliability and accuracy.
Non-controlled studies, commonly employed for initial exploration, lack a control group, rendering them susceptible to biases and external influences. In contrast,...
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Uncertainty in Measurement: Accuracy and Precision03:37

Uncertainty in Measurement: Accuracy and Precision

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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
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Related Experiment Video

Updated: Nov 27, 2025

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements

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Notes on Computational Uncertainties in Probabilistic Risk/Safety Assessment.

Antoine Rauzy1

  • 1Department of Mechanical and Production Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

Computational complexity creates uncertainties in risk assessment. Bounded calculation capacity influences model design and decision-making, impacting safety analysis.

Keywords:
assessment algorithmsmodeling methodologiesprobabilistic risk/safety assessmentuncertainties

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Area of Science:

  • Risk and Safety Analysis
  • Computational Science
  • Decision Theory

Background:

  • Probabilistic risk/safety assessment involves inherent epistemic and aleatory uncertainties.
  • Risk analysts operate under constraints of bounded calculation capacity.
  • This limitation influences the design of risk models and subsequent decision-making.

Purpose of the Study:

  • To investigate computational uncertainties in probabilistic risk/safety assessment.
  • To analyze the impact of bounded calculation capacity on risk analysis.
  • To propose methodological improvements addressing calculability limitations.

Main Methods:

  • Review of state-of-the-art assessment algorithms for fault trees and event trees.
  • Exploration of computational complexity in risk indicator calculations.
  • Development of a taxonomy for modeling technologies.

Main Results:

  • Computational complexity introduces significant uncertainties into risk assessment outcomes.
  • Bounded calculability over-determines both risk model design and decision-making processes.
  • Existing assessment algorithms for fault and event trees are analyzed in light of computational constraints.

Conclusions:

  • Methodological proposals are made to address the conceptual and practical consequences of bounded calculability.
  • Recognizing and managing computational limitations is crucial for robust risk assessment.
  • Future research should focus on developing computationally feasible yet accurate risk analysis methods.