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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. Fractional factorial design - Wikipedia

    en.wikipedia.org/wiki/Fractional_factorial_design

    Each generator halves the number of runs required. A design with p such generators is a 1/(l p)=l −p fraction of the full factorial design. [3] For example, a 2 5 − 2 design is 1/4 of a two-level, five-factor factorial design. Rather than the 32 runs that would be required for the full 2 5 factorial experiment, this experiment requires only ...

  4. Universe - Wikipedia

    en.wikipedia.org/wiki/Universe

    The model is based on general relativity and on simplifying assumptions such as the homogeneity and isotropy of space. A version of the model with a cosmological constant (Lambda) and cold dark matter, known as the Lambda-CDM model, is the simplest model that provides a reasonably good account of various observations about the universe.

  5. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    [2] The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, [3] linguistics, [4] and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different ...

  6. Fractional calculus - Wikipedia

    en.wikipedia.org/wiki/Fractional_calculus

    v. t. e. Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator. and of the integration operator [ Note 1] and developing a calculus for such operators generalizing the classical one.

  7. Knapsack problem - Wikipedia

    en.wikipedia.org/wiki/Knapsack_problem

    The most common problem being solved is the 0-1 knapsack problem, which restricts the number of copies of each kind of item to zero or one. Given a set of items numbered from 1 up to , each with a weight and a value , along with a maximum weight capacity ,

  8. Scale model - Wikipedia

    en.wikipedia.org/wiki/Scale_model

    A scale model is a physical model that is geometrically similar to an object (known as the prototype ). Scale models are generally smaller than large prototypes such as vehicles, buildings, or people; but may be larger than small prototypes such as anatomical structures or subatomic particles.

  9. Bayes factor - Wikipedia

    en.wikipedia.org/wiki/Bayes_factor

    Definition. The Bayes factor is the ratio of two marginal likelihoods; that is, the likelihoods of two statistical models integrated over the prior probabilities of their parameters. [ 9] The posterior probability of a model M given data D is given by Bayes' theorem : The key data-dependent term represents the probability that some data are ...