Jove
Visualize
Contact Us
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 Concept Videos

Statistical Significance01:50

Statistical Significance

22.0K
Once data is collected from both the experimental and the control groups, a statistical analysis is conducted to find out if there are meaningful differences between the two groups. A statistical analysis determines how likely any difference found is due to chance (and thus not meaningful). In psychology, group differences are considered meaningful, or significant, if the odds that these differences occurred by chance alone are 5 percent or less. Stated another way, if we repeated this...
22.0K
The Wave Nature of Light02:12

The Wave Nature of Light

61.5K
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
61.5K
Probability in Statistics01:14

Probability in Statistics

23.5K
Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when an outcome cannot be divided into simpler parts.
An example of a simple event is a coin toss. The result of a coin toss is either a head or a tail. Here, head and tail are two simple events. These two simple events make up the sample space. Further, the probability of an event occurring falls within the range of 0 to 1. The probability of an...
23.5K
Introduction to Statistics01:17

Introduction to Statistics

64.1K
The science of statistics involves collecting, analyzing, interpreting, and presenting data. The method of collecting, organizing, and summarizing data is called descriptive statistics. The systematic method of drawing inferences from the sample data and predicting unknown characteristics of a population is called inferential statistics.
In statistics, the collection of individuals or objects under study is called population. The idea of sampling is to select a portion of the larger population...
64.1K
Statistical Analysis: Overview01:11

Statistical Analysis: Overview

16.6K
When we take repeated measurements on the same or replicated samples, we will observe inconsistencies in the magnitude. These inconsistencies are called errors. To categorize and characterize these results and their errors, the researcher can use statistical analysis to determine the quality of the measurements and/or suitability of the methods.
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
16.6K
Identifying Statistically Significant Differences: The F-Test01:14

Identifying Statistically Significant Differences: The F-Test

3.8K
The F-test is used to compare two sample variances to each other or compare the sample variance to the population variance. It is used to decide whether an indeterminate error can explain the difference in their values. The underlying assumptions that allow the use of the F-test include the data set or sets are normally distributed, and the data sets are independent of each other. The test statistic F is calculated by dividing one variance by another. In other words, the square of one standard...
3.8K

You might also read

Related Articles

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

Sort by
Same author

Irreversible Thermalization vs Reversible Dynamics Mediated by Anomalous Correlators: Wave Turbulence Theory and Experiments in Optical Fibers.

Physical review letters·2026
Same author

Glucocorticoid-prescribing trends in congenital adrenal hyperplasia, 2017 to 2023.

Endocrine connections·2026
Same author

Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery.

Chaos (Woodbury, N.Y.)·2026
Same author

Concatenation of Kerr solitary waves in ceramic YAG: application to coherent Raman imaging.

Optics letters·2025
Same author

Cascaded geometric parametric process in a tapered air-silica graded-like multimode microstructure fiber.

Optics letters·2024
Same author

Peregrine solitons and resonant radiation in cubic and quadratic media.

Chaos (Woodbury, N.Y.)·2024
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Feb 6, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

9.1K

Statistics of vector Manakov rogue waves.

A Mančić1, F Baronio2, Lj Hadžievski3

  • 1Faculty of Sciences and Mathematics, University of Niš, POB 244, 18000 Niš, Serbia.

Physical Review. E
|August 17, 2018
PubMed
Summary
This summary is machine-generated.

Statistical analysis reveals that rational solutions, forming rogue waves (RWs), are the primary high-amplitude events in Manakov systems. The study links RW types to their creation mechanisms and suggests new identification criteria.

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
A Protocol for the Production of Integrase-deficient Lentiviral Vectors for CRISPR/Cas9-mediated Gene Knockout in Dividing Cells
10:42

A Protocol for the Production of Integrase-deficient Lentiviral Vectors for CRISPR/Cas9-mediated Gene Knockout in Dividing Cells

Published on: December 12, 2017

16.3K

Related Experiment Videos

Last Updated: Feb 6, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

9.1K
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
A Protocol for the Production of Integrase-deficient Lentiviral Vectors for CRISPR/Cas9-mediated Gene Knockout in Dividing Cells
10:42

A Protocol for the Production of Integrase-deficient Lentiviral Vectors for CRISPR/Cas9-mediated Gene Knockout in Dividing Cells

Published on: December 12, 2017

16.3K

Area of Science:

  • Nonlinear physics
  • Wave dynamics
  • Statistical analysis

Background:

  • Manakov systems are crucial for modeling nonlinear wave phenomena.
  • High-amplitude wave events, including rogue waves (RWs), pose significant challenges in understanding and prediction.
  • Existing methods for classifying extreme wave events require refinement.

Purpose of the Study:

  • To statistically analyze high-amplitude wave events in focusing and defocusing Manakov systems.
  • To identify the dominant types of extreme wave structures and their formation mechanisms.
  • To propose refined criteria for classifying and identifying rogue wave events.

Main Methods:

  • Statistical analysis of wave height and return-time probabilities.
  • Investigation of focusing and defocusing Manakov systems.
  • Characterization of analytical rational and semirational solutions associated with extreme waves.

Main Results:

  • Analytical rational/semirational solutions, representing rogue wave (RW) structures, are the leading high-amplitude events.
  • A strong correlation exists between RW type and its creation mechanism.
  • Modulation instability initiates high-amplitude events, with subsequent interactions driving RW formation.

Conclusions:

  • The study provides a framework for confirming extreme event properties using statistical measures.
  • New insights into the dynamics and classification of rogue waves in Manakov systems are presented.
  • Redefining the criteria for identifying rogue wave events is necessary based on these findings.