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  2. Fractional model - Wikipedia

    en.wikipedia.org/wiki/Fractional_model

    Fractional model. In applied statistics, fractional models are, to some extent, related to binary response models. However, instead of estimating the probability of being in one bin of a dichotomous variable, the fractional model typically deals with variables that take on all possible values in the unit interval.

  3. Coefficient of determination - Wikipedia

    en.wikipedia.org/wiki/Coefficient_of_determination

    An R 2 of 1 indicates that the regression predictions perfectly fit the data. Values of R 2 outside the range 0 to 1 occur when the model fits the data worse than the worst possible least-squares predictor (equivalent to a horizontal hyperplane at a height equal to the mean of the observed data). This occurs when a wrong model was chosen, or ...

  4. Statistical model - Wikipedia

    en.wikipedia.org/wiki/Statistical_model

    A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from a larger population ). A statistical model represents, often in considerably idealized form, the data-generating process. [ 1] When referring specifically to probabilities, the corresponding ...

  5. Fermi–Dirac statistics - Wikipedia

    en.wikipedia.org/wiki/Fermi–Dirac_statistics

    Potentials. Scientists. v. t. e. Fermi–Dirac statistics is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles that obey the Pauli exclusion principle. A result is the Fermi–Dirac distribution of particles over energy states. It is named after Enrico Fermi and Paul ...

  6. Fractional factorial design - Wikipedia

    en.wikipedia.org/wiki/Fractional_factorial_design

    In statistics, fractional factorial designs are experimental designs consisting of a carefully chosen subset (fraction) of the experimental runs of a full factorial design. [ 1] The subset is chosen so as to exploit the sparsity-of-effects principle to expose information about the most important features of the problem studied, while using a ...

  7. Autoregressive model - Wikipedia

    en.wikipedia.org/wiki/Autoregressive_model

    Autoregressive model. In statistics, econometrics, and signal processing, an autoregressive ( AR) model is a representation of a type of random process; as such, it can be used to describe certain time-varying processes in nature, economics, behavior, etc. The autoregressive model specifies that the output variable depends linearly on its own ...

  8. Mode (statistics) - Wikipedia

    en.wikipedia.org/wiki/Mode_(statistics)

    Mode (statistics) In statistics, the mode is the value that appears most often in a set of data values. [ 1] If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value (i.e., x=argmaxxi P (X = xi) ). In other words, it is the value that is most likely to be sampled.

  9. Scale (ratio) - Wikipedia

    en.wikipedia.org/wiki/Scale_(ratio)

    The scale ratio of a model represents the proportional ratio of a linear dimension of the model to the same feature of the original. Examples include a 3-dimensional scale model of a building or the scale drawings of the elevations or plans of a building. [ 1] In such cases the scale is dimensionless and exact throughout the model or drawing.