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Related Concept Videos

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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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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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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Propagation of Uncertainty from Systematic Error01:10

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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 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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Prediction Intervals01:03

Prediction Intervals

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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
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Uncertainty Visualization by Representative Sampling from Prediction Ensembles.

Le Liu, Alexander P Boone, Ian T Ruginski

    IEEE Transactions on Visualization and Computer Graphics
    |January 24, 2017
    PubMed
    Summary
    This summary is machine-generated.

    Displaying a subset of prediction ensembles implicitly conveys uncertainty, avoiding confusion with phenomenon size. This method improves hurricane prediction visualization and damage estimation.

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    Area of Science:

    • Data visualization
    • Scientific communication
    • Geospatial analysis

    Background:

    • Traditional data ensembles for uncertain predictions often use spatial spread, leading to glyphs that increase in size with uncertainty.
    • This size increase can be misinterpreted as an increase in the phenomenon's actual size, strength, or other attributes.
    • Existing methods lack an efficient way to encode additional information alongside uncertainty.

    Purpose of the Study:

    • To propose and validate a novel visualization technique for uncertain predictions using a carefully selected subset of a prediction ensemble.
    • To demonstrate how this method can implicitly convey uncertainty, avoiding misinterpretations common in spatial spread visualizations.
    • To explore the potential for encoding additional information within the visualization.

    Main Methods:

    • Developing a method to select a representative subset of a prediction ensemble.
    • Applying this method to hurricane prediction data and creating visualizations.
    • Conducting a cognitive experiment to compare the proposed visualization with traditional methods.

    Main Results:

    • The selected subset display effectively conveys uncertainty without increasing glyph size.
    • The method avoids the confounding of uncertainty with phenomenon size.
    • Visualizations successfully preserved spatial statistics of the original ensemble.
    • An explicit encoding of uncertainty was also constructible from the selection.
    • Cognitive experiment results showed significantly reduced confounding of uncertainty with storm size.

    Conclusions:

    • Displaying a carefully chosen subset of prediction ensembles is an effective strategy for visualizing uncertainty implicitly.
    • This approach mitigates misinterpretations of prediction uncertainty in spatial contexts, particularly in hurricane forecasting.
    • The method enhances viewers' ability to accurately assess potential storm damage by improving the estimation of storm size and uncertainty.