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Related Concept Videos

Outliers and Influential Points01:08

Outliers and Influential Points

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An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes (for example, writing down 50 instead of 500), while others may indicate that something unusual is happening. Outliers are present far from the least squares line in the vertical direction. They have large "errors," where the "error" or residual is the...
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What Are Outliers?01:12

What Are Outliers?

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Outliers are observed data points that are far from the least squares line. They have unusual values and need to be examined carefully. Though an outlier may result from erroneous data, at other times, it may hold valuable information about the population under study and should be included in the data. Hence, it is crucial to examine what causes a data point to be an outlier.
The z score is used to find outliers or unusual values. It should be noted that any values beyond -2 and +2 are...
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Quantifying and Rejecting Outliers: The Grubbs Test01:02

Quantifying and Rejecting Outliers: The Grubbs Test

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Sometimes, a data set can have a recorded numerical observation that greatly  deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier.  To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This...
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Detection of Gross Error: The Q Test01:00

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When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
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Significance Testing: Overview01:04

Significance Testing: Overview

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Significance testing is a set of statistical methods used to test whether a claim about a parameter is valid. In analytical chemistry, significance testing is used primarily to determine whether the difference between two values comes from determinate or random errors. The effect of a particular change in the measurement protocol, analyst, or sample itself can cause a deviation from the expected result. In the case of a suspected deviation/outlier, we need to be able to confirm mathematically...
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Expected Frequencies in Goodness-of-Fit Tests01:19

Expected Frequencies in Goodness-of-Fit Tests

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A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n)  to the number of categories (k).
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Related Experiment Video

Updated: Mar 6, 2026

Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances
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Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances

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Covariance based outlier detection with feature selection.

Chris E Zwilling, Michelle Y Wang

    Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
    |March 9, 2017
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel algorithm for outlier detection in biomedical data. It effectively identifies informative features for disease assessment using covariance information from time series data.

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    Area of Science:

    • Biomedical informatics
    • Data science
    • Time series analysis

    Background:

    • Feature selection is crucial for effective outlier detection in complex biomedical datasets.
    • Identifying informative features from large sets of biomedical and health informatics data presents a significant challenge.
    • Existing methods may struggle to winnow effective features from ineffective ones in high-dimensional data.

    Purpose of the Study:

    • To develop a robust algorithm for outlier detection in biomedical and health informatics data.
    • To identify and leverage features with the highest sensitivity for outlier identification.
    • To enhance disease assessment through improved feature selection in time series data.

    Main Methods:

    • Utilizing a covariance-based approach for outlier detection.
    • Leveraging covariance information from time series data to identify optimal feature vectors.
    • Developing an algorithm that winnows effective features from a candidate set.

    Main Results:

    • Empirical results demonstrate the high efficacy of the proposed method.
    • The algorithm successfully identifies features with the highest sensitivity for outlier detection.
    • Demonstrated effectiveness in handling unrestricted nature and number of features.

    Conclusions:

    • The developed covariance-based algorithm is effective for outlier detection in biomedical informatics.
    • The method enhances disease assessment by identifying the most sensitive features.
    • This approach offers a powerful tool for analyzing time series data in health informatics.