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Related Concept Videos

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 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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Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
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Calibration Curves: Correlation Coefficient01:10

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In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the...
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One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

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This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
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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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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Efficient Calibration/Uncertainty Analysis Using Paired Complex/Surrogate Models.

Wesley Burrows, John Doherty1,2

  • 1National Centre for Groundwater Research and Training, Adelaide, SA, 5001, Australia.

Ground Water
|August 22, 2014
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Summary
This summary is machine-generated.

This study introduces a new method for calibrating complex groundwater models and assessing predictive uncertainty. It uses surrogate models to speed up calculations, improving efficiency for environmental simulations.

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Area of Science:

  • Environmental science
  • Hydrogeology
  • Computational modeling

Background:

  • Detailed groundwater models face challenges with long run-times and convergence issues.
  • These limitations hinder uncertainty quantification and decision-making in environmental management.
  • Existing methods struggle with highly parameterized and complex simulation scenarios.

Purpose of the Study:

  • To present a novel methodology for calibrating complex groundwater models.
  • To enable efficient exploration of posterior predictive uncertainty.
  • To overcome computational limitations in environmental process simulation.

Main Methods:

  • Combines a complex groundwater model with simplified surrogate models.
  • Utilizes gradient-based subspace analysis for parameter estimation.
  • Employs surrogate models for Jacobian matrix computation and the complex model for parameter updates and predictions.

Main Results:

  • The methodology effectively addresses long run-times and convergence problems.
  • Demonstrated success using a density-dependent seawater intrusion model.
  • Facilitates robust uncertainty quantification in complex hydrogeological settings.

Conclusions:

  • The novel approach enhances the usability of detailed groundwater models for decision-making.
  • It offers a computationally efficient solution for calibrating complex environmental models.
  • This method improves the quantification and reduction of predictive uncertainty in hydrogeological studies.