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Related Concept Videos

Probability Histograms01:17

Probability Histograms

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A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
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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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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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Probability Distributions01:32

Probability Distributions

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 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
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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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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
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Visualizing Uncertainty in Probabilistic Graphs with Network Hypothetical Outcome Plots (NetHOPs).

Dongping Zhang, Eytan Adar, Jessica Hullman

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    Summary
    This summary is machine-generated.

    Visualizing probabilistic graphs is difficult. Network Hypothetical Outcome Plots (NetHOPs) animate network realizations, helping users estimate network statistics under uncertainty with improved accuracy.

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    Area of Science:

    • Computer Science
    • Data Visualization
    • Network Analysis

    Background:

    • Traditional node-link diagrams struggle to represent probabilistic graphs, hindering estimation of network statistics under uncertainty.
    • Visual encodings like edge width or fuzziness are insufficient for static network visualizations.
    • Estimating network properties like density, path lengths, or clustering becomes challenging with edge probabilities.

    Purpose of the Study:

    • Introduce Network Hypothetical Outcome Plots (NetHOPs) as a novel visualization technique for probabilistic graphs.
    • Evaluate the effectiveness of NetHOPs in enabling network analysts to reason about network properties under uncertainty.
    • Provide design recommendations for animated visualizations of probabilistic networks.

    Main Methods:

    • Developed NetHOPs, a technique animating sequential network realizations from a probabilistic edge distribution.
    • Employed aggregation and anchoring algorithms for layout stability and uncertainty estimation.
    • Implemented a community matching algorithm to visualize uncertainty in cluster membership and community occurrence.

    Main Results:

    • Network experts using NetHOPs estimated network statistics within 11% of ground truth on average.
    • Participants demonstrated improved articulation of network statistic distributions when manipulating layout anchoring and animation speed.
    • The study involved 51 network experts performing common visual analysis tasks.

    Conclusions:

    • NetHOPs offer a viable approach for network analysts to reason about multiple network properties under uncertainty.
    • Interactive control over layout anchoring and animation speed enhances the perception of network statistics.
    • Design recommendations are synthesized for future animated probabilistic network visualizations.