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

Distribution of Molecular Speeds01:27

Distribution of Molecular Speeds

4.4K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
4.4K
Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

2.0K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
2.0K
Dynamics Of Circular Motion: Applications01:17

Dynamics Of Circular Motion: Applications

8.9K
Suppose a car moves on flat ground and turns to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. For this, a minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Let's now consider banked curves, where the slope of the road helps in negotiating the curve. The greater the angle of the curve, the faster one can take the curve. It is common for race tracks for...
8.9K
Design of Transmission Shafts01:16

Design of Transmission Shafts

571
The design of a transmission shaft is governed by two primary specifications: the power it transmits and its rotational speed. These parameters guide the selection of the shaft's material and cross-sectional dimensions, ensuring that the material's maximum shearing stress remains within the elastic limit while transmitting the desired power at the given speed. The system's power is intrinsically linked to the applied torque. The torque applied to the shaft can be calculated by reconfiguring the...
571
Expected Frequencies in Goodness-of-Fit Tests01:19

Expected Frequencies in Goodness-of-Fit Tests

5.0K
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).
5.0K
Finding Critical Values for Chi-Square01:18

Finding Critical Values for Chi-Square

3.7K
Consider a curve representing sample data drawn randomly from a normally distributed population. One must construct confidence intervals to estimate or to test a claim regarding the population standard deviation. For example, a 95% confidence interval covers 95% of the area under the curve, and the remaining 5% is equally distributed on either side of the curve. To achieve such confidence intervals, one must determine the critical values. The critical values are simply the values separating the...
3.7K

You might also read

Related Articles

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

Sort by
Same author

Comparative assessments of the COSMED adaptive mixing chamber vs. breath-by-breath methods for oxygen uptake measurements in recreationally active adults.

Journal of applied physiology (Bethesda, Md. : 1985)·2026
Same author

Heat treatment combined with hybrid exercises retraining mitigates cellular markers of protein turnover after hindlimb suspension in male mice: A pilot study.

Experimental physiology·2026
Same author

Downhill-walking exercise training in a patient with symptomatic peripheral artery disease: A case report.

Vascular medicine (London, England)·2026
Same author

Mind to Move: A Narrative Review of Individualized Running Biomechanics Beyond the Spring-Mass Model.

Sports medicine (Auckland, N.Z.)·2026
Same author

Assessing preferred walking speed in patients with symptomatic chronic peripheral artery disease: Comparison of the 4-versus 10-meter walk test.

Vascular medicine (London, England)·2026
Same author

Experimental Evidence for the Independent Modulation of Step Frequency and Duty Factor during Endurance Running.

Medicine and science in sports and exercise·2025

Related Experiment Video

Updated: Nov 10, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.9K

Critical speed estimated by statistically appropriate fitting procedures.

Aurélien Patoz1,2, Romain Spicher3, Nicola Pedrani3

  • 1Institute of Sport Sciences, University of Lausanne, 1015, Lausanne, Switzerland. aurelien.patoz@unil.ch.

European Journal of Applied Physiology
|April 3, 2021
PubMed
Summary

Accurate estimation of critical speed (CS) and distance above CS (d') is crucial for exercise prescription. Different statistical fitting procedures yield varying results, highlighting the need for careful selection to ensure reliable training intensity guidance for athletes.

Keywords:
Curve fittingExercise prescriptionHyperbolic modelIntensity domainsLinear modelRunning

More Related Videos

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.2K
15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
08:09

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

5.6K

Related Experiment Videos

Last Updated: Nov 10, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.9K
Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.2K
15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
08:09

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

5.6K

Area of Science:

  • Exercise Physiology
  • Sports Science
  • Biomechanical Analysis

Background:

  • Exercise intensity domains guide training prescription.
  • Critical speed (CS) differentiates heavy and severe exercise domains.
  • Accurate estimation of CS and distance above CS (d oun) is essential for precise training zones.

Purpose of the Study:

  • To compare the accuracy of different statistical fitting procedures for estimating critical speed (CS) and distance above CS (d oun).
  • To test the hypothesis that statistically appropriate fitting procedures yield similar CS and d oun estimations, unlike inappropriate ones.
  • To determine the impact of fitting procedure choice on exercise intensity domain determination.

Main Methods:

  • Sixteen male runners completed a maximal incremental aerobic test and four exhaustive runs at varying percentages of peak speed.
  • Weighted least square regression analysis with a two-parameter model variant was employed.
  • Multiple fitting procedures were utilized to estimate CS and d oun.

Main Results:

  • Systematic biases were observed between all pairs of fitting procedures for both CS and d oun (P < 0.001).
  • Negligible biases were found even between statistically appropriate fitting procedures, supporting the hypothesis.
  • The choice of fitting procedure significantly impacts the estimation of CS and d oun.

Conclusions:

  • Researchers must select statistically appropriate fitting procedures for CS and d oun estimation beforehand.
  • Coaches should consistently use a chosen fitting procedure for training prescription to maintain reliable exercise intensity guidance.
  • Standardizing fitting procedures ensures accurate and reproducible training intensity recommendations.