Jove
Visualize
Contact Us

Related Concept Videos

Coefficient of Correlation01:12

Coefficient of Correlation

8.9K
The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable x and the dependent variable y.
If you suspect a linear relationship between x and y, then r can measure how strong the linear relationship is.
What the VALUE of r tells us:
The value of r is always between –1 and +1: –1 ≤ r ≤ 1.
The size of the correlation r indicates the...
8.9K
Calculating and Interpreting the Linear Correlation Coefficient01:11

Calculating and Interpreting the Linear Correlation Coefficient

8.4K
The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable, x, and the dependent variable, y. Hence, it is also known as the Pearson product-moment correlation coefficient. It can be calculated using the following equation:
8.4K
Degrees of Freedom01:02

Degrees of Freedom

10.6K
The degree of freedom for a particular statistical calculation is the number of values that are free to vary. As a result, the minimum number of independent numbers can specify a particular statistic. The degrees of freedom differ greatly depending on known and uncalculated statistical components.
For example, suppose there are three unknown numbers whose mean is 10; although we can freely assign values to the first and second numbers, the value of the last number can not be arbitrarily...
10.6K
Degrees of Freedom01:02

Degrees of Freedom

7.4K
The degree of freedom for a particular statistical calculation is the number of values that are free to vary. Thus, the minimum number of independent numbers can specify a particular statistic. The degrees of freedom differ greatly depending on known and uncalculated statistical components.
For example, suppose there are three unknown numbers whose mean is 10; although we can freely assign values to the first and second numbers, the value of the last number can not be arbitrarily assigned.
7.4K
Degree of Curvature and Radius of Curvature01:19

Degree of Curvature and Radius of Curvature

577
The degree of curvature and the radius of curvature are fundamental concepts in determining the sharpness or smoothness of a curve. The degree of curvature is a measure of how steeply a curve bends and can be determined using the chord basis or the arc basis. In the chord basis method, the degree of curvature is defined as the central angle subtended by a chord of 30.48 meters, helping in the calculation of the radius of the curve. The arc basis method defines the degree of...
577
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

4.1K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
4.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Hybrid zeolitic imidazolate frameworks with catalytically active TO4 building blocks.

Angewandte Chemie (International ed. in English)·2010
Same author

Whiter matter abnormalities in medication-naive subjects with a single short-duration episode of major depressive disorder.

Psychiatry research·2010
Same author

A new comorbidity index: the health-related quality of life comorbidity index.

Journal of clinical epidemiology·2010
Same author

S-adenosylmethionine inhibits the growth of cancer cells by reversing the hypomethylation status of c-myc and H-ras in human gastric cancer and colon cancer.

International journal of biological sciences·2010
Same author

Nano-sized SnSbAgx alloy anodes prepared by reductive co-precipitation method used as lithium-ion battery materials.

Journal of nanoscience and nanotechnology·2010
Same author

Complementary diffusion tensor imaging study of the corpus callosum in patients with first-episode and chronic schizophrenia.

Journal of psychiatry & neuroscience : JPN·2010
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Video

Updated: Mar 9, 2026

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
05:59

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Published on: October 6, 2023

3.4K

Complex degree of coherence measurement for classical statistical fields.

Xianlong Liu, Fei Wang, Lin Liu

    Optics Letters
    |January 7, 2017
    PubMed
    Summary
    This summary is machine-generated.

    We developed a new method to measure the complex degree of coherence for Gaussian fields. This technique is particularly useful for analyzing inhomogeneous 2D fields and has applications in image processing.

    More Related Videos

    Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms
    08:51

    Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

    Published on: November 1, 2019

    6.1K
    Combined Invasive Subcortical and Non-invasive Surface Neurophysiological Recordings for the Assessment of Cognitive and Emotional Functions in Humans
    08:25

    Combined Invasive Subcortical and Non-invasive Surface Neurophysiological Recordings for the Assessment of Cognitive and Emotional Functions in Humans

    Published on: May 19, 2016

    11.3K

    Related Experiment Videos

    Last Updated: Mar 9, 2026

    Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
    05:59

    Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

    Published on: October 6, 2023

    3.4K
    Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms
    08:51

    Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

    Published on: November 1, 2019

    6.1K
    Combined Invasive Subcortical and Non-invasive Surface Neurophysiological Recordings for the Assessment of Cognitive and Emotional Functions in Humans
    08:25

    Combined Invasive Subcortical and Non-invasive Surface Neurophysiological Recordings for the Assessment of Cognitive and Emotional Functions in Humans

    Published on: May 19, 2016

    11.3K

    Area of Science:

    • Optics and Photonics
    • Quantum Optics
    • Statistical Optics

    Background:

    • Characterizing the coherence properties of classical fields is crucial for understanding wave phenomena.
    • Measuring the complex degree of coherence, particularly for inhomogeneous fields, presents significant challenges.

    Purpose of the Study:

    • To introduce a novel method for measuring the real and imaginary parts of the complex degree of coherence.
    • To demonstrate the method's efficacy for inhomogeneous two-dimensional fields.
    • To highlight potential applications in image transmission and recovery.

    Main Methods:

    • Incoherent mixing of a coherent Gaussian beam, a local oscillator, and the statistical field.
    • Utilizing Gaussian statistics for field analysis.
    • Experimental measurement of the complex degree of coherence for a complex Gaussian-correlated beam.

    Main Results:

    • Successful measurement of the complex degree of coherence for a specific Gaussian-correlated beam.
    • Demonstration of the method's capability to handle inhomogeneous two-dimensional fields.
    • Validation of the proposed technique through experimental results.

    Conclusions:

    • The proposed method provides an effective means to measure the complex degree of coherence.
    • The technique is especially advantageous for analyzing inhomogeneous fields.
    • Potential applications exist in advanced optical imaging and information recovery systems.