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  2. Degrees of freedom (statistics) - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom...

    Degrees of freedom (statistics) In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary. [1] Estimates of statistical parameters can be based upon different amounts of information or data. The number of independent pieces of information that go into the estimate of a ...

  3. Degrees of freedom (physics and chemistry) - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom_(physics...

    In physics and chemistry, a degree of freedom is an independent physical parameter in the formal description of the state of a physical system. The set of all states of a system is known as the system's phase space, and the degrees of freedom of the system are the dimensions of the phase space. The location of a particle in three-dimensional ...

  4. Degrees of freedom (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom_(mechanics)

    Degrees of freedom (mechanics) In physics, the degrees of freedom (DOF) of a mechanical system is the number of independent parameters that define its configuration or state. It is important in the analysis of systems of bodies in mechanical engineering, structural engineering, aerospace engineering, robotics, and other fields.

  5. Researcher degrees of freedom - Wikipedia

    en.wikipedia.org/wiki/Researcher_degrees_of_freedom

    Researcher degrees of freedom. Researcher degrees of freedom is a concept referring to the inherent flexibility involved in the process of designing and conducting a scientific experiment, and in analyzing its results. The term reflects the fact that researchers can choose between multiple ways of collecting and analyzing data, and these ...

  6. Chi-squared distribution - Wikipedia

    en.wikipedia.org/wiki/Chi-squared_distribution

    The chi-squared distribution is the maximum entropy probability distribution for a random variate for which ⁡ () = and ⁡ (⁡ ()) = () + ⁡ () are fixed. Since the chi-squared is in the family of gamma distributions, this can be derived by substituting appropriate values in the Expectation of the log moment of gamma.

  7. Six degrees of freedom - Wikipedia

    en.wikipedia.org/wiki/Six_degrees_of_freedom

    The six degrees of freedom: forward/back, up/down, left/right, yaw, pitch, roll. Six degrees of freedom (6DOF), or sometimes six degrees of movement, refers to the six mechanical degrees of freedom of movement of a rigid body in three-dimensional space. Specifically, the body is free to change position as forward/backward (surge), up/down ...

  8. Phase rule - Wikipedia

    en.wikipedia.org/wiki/Phase_rule

    Phase rule. In thermodynamics, the phase rule is a general principle governing "pVT" systems, whose thermodynamic states are completely described by the variables pressure (p), volume (V) and temperature (T), in thermodynamic equilibrium. If F is the number of degrees of freedom, C is the number of components and P is the number of phases, then.

  9. Student's t-distribution - Wikipedia

    en.wikipedia.org/wiki/Student's_t-distribution

    For the statistic t, with ν degrees of freedom, A(t | ν) is the probability that t would be less than the observed value if the two means were the same (provided that the smaller mean is subtracted from the larger, so that t ≥ 0). It can be easily calculated from the cumulative distribution function F ν (t) of the t distribution: