degrees of freedom vs degree of freedom

Both 'degrees of freedom' and 'degree of freedom' are correct, but they are used in different contexts. 'Degrees of freedom' is the plural form and is used in statistics to refer to the number of independent values or quantities which can be assigned to a statistical distribution. 'Degree of freedom' is the singular form and is used in physics to refer to the number of independent parameters or coordinates that define the state of a physical system.

Last updated: March 28, 2024 • 962 views

This phrase is correct and commonly used in statistics to refer to the number of independent values or quantities which can be assigned to a statistical distribution.

"degrees of freedom"

This phrase is used in statistics to describe the number of independent values or quantities that can vary in a statistical analysis.

Examples:

The degrees of freedom for this statistical test are calculated based on the sample size and the number of variables.
The t-distribution has different degrees of freedom depending on the sample size.
Increasing the sample size will increase the degrees of freedom in the analysis.
The degrees of freedom in the ANOVA test determine the critical values for significance.
The chi-square test requires the degrees of freedom to be specified for interpretation.

Show examples from the web [+]

Each element node has six degrees of freedom.
It's a 12 degrees of freedom robotic arm.
Therefore its degrees of freedom are 3(3)-5=4.
But if the atoms all lie along a straight line it does not matter what angle the molecule has about that line, hence the degrees of freedom are 3n-5.
It's a 12 degrees of freedom robotic arm.
In total, EveR-2 has 25 more degrees of freedom than EveR-1.
A DM usually has many degrees of freedom.
The version developed by Reymond Clavel has four degrees of freedom: three translations and one rotation.
The grinder head has three degrees of freedom.
E. Support stand with four degrees of freedom assists with awkward measurements.
Types of joints and degrees of freedom.
Rotational and vibrational energies and degrees of freedom.
We will analyze the deterministic and stochastic dynamic systems with few and many degrees of freedom.
All degrees of freedom adjustable without tools
Every vibrating movement of one part of the body has six degrees of freedom.
His physiology recreates the seven degrees of freedom of a human arm.
In addition, the subspace with zero norm turns out to be none other than the gauge degrees of freedom.
These statements imply that while analytic functions do have more degrees of freedom than polynomials, they are still quite rigid.
That is, the electromagnetic field has infinitely more degrees of freedom, corresponding to the different directions in which the photon can be emitted.
A popular application for serial robots in today's industry is the pick-and-place assembly robot, called a SCARA robot, which has four degrees of freedom.

Alternatives:

number of degrees of freedom
statistical degrees of freedom
independent values in statistics
quantities in statistical distribution
variables in statistical analysis

This phrase is correct and commonly used in physics to refer to the number of independent parameters or coordinates that define the state of a physical system.

"degree of freedom"

This phrase is used in physics to describe the number of independent parameters or coordinates that define the state of a physical system.

Examples:

The robot arm has six degrees of freedom, allowing it to move in multiple directions.
A pendulum swinging in two dimensions has two degrees of freedom.
The spacecraft's thrusters provide additional degree of freedom for maneuvering.
The human shoulder joint has a high degree of freedom for movement.
The degree of freedom of a system determines its flexibility and range of motion.

Show examples from the web [+]

In China the degree of freedom and democracy is in inverse proportion to the economic and commercial power that it imposes upon world markets.
Venezuela should be a democratic country where people enjoy the same degree of freedom as they do in each of the Member States of the European Union.
At the same time, it demonstrates the degree of freedom of the press which we have achieved and must maintain.
So far, the status of the Nobel Prize-winner has, at times, secured her a limited degree of freedom.
From the survey's findings, based on the information provided by journalists, researchers, lawyers and human rights' activists, RWB notes that a country's degree of freedom of the press is not necessarily related to its level of economic development.
Women's situation is linked to the degree of freedom and development in a country: where there is freedom, women prosper but where there is no real freedom, women are the first to suffer.
Asks the Commission to carry out a study of the working conditions and the security of journalists in Romania in order to assess the degree of freedom of the press;
My own experience is that in China now there is a large degree of freedom of thought but not freedom to organise, because that still is the sine qua non in terms of what China and the Chinese authorities actually forbid.
I voted in favour of the amendments proposed by the Confederal Group of the European United Left/Nordic Green Left: they guarantee a greater degree of freedom on the Internet because this is a freedom of expression as important to democracy as freedom of the press.
Equally important, office work allowed a degree of freedom and personal autonomy that factory work never provided.
That submission may have earned him a degree of freedom.
A flexible approach should allow a degree of freedom in the choice of contracts.
There is, in other words, a large degree of freedom for the Member States.
As a result, he could afford to give her some degree of freedom and trust that she would stay with him.
As a result, he could afford to give her some degree of freedom and trust that she would stay with him.
In assessing individual character, the degree of freedom of the designer in developing the design shall be taken into consideration.
The European Parliament considers that the legislative act to be adopted should allow a degree of freedom of choice, in particular by permitting:
whereas high rates of GDP growth and low unemployment are objectives to be achieved only by economies which have created a flexible employment market and allowed businesses a significant degree of freedom,
However, within these terms of reference, in view of the suspensory effect of the referral, the committee enjoys a greater degree of freedom and may, where necessary in the interests of the compromise, propose reconsidering provisions which received a favourable vote in Parliament.
There may be a degree of freedom of thought, but there is not freedom of action.

Alternatives:

number of degrees of freedom
physical degrees of freedom
independent parameters in physics
coordinates in physical system
variables in mechanical system

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degrees of freedom vs degree of freedom