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  2. Categorical distribution - Wikipedia

    en.wikipedia.org/wiki/Categorical_distribution

    The joint distribution of the same variables with the same Dirichlet-multinomial distribution has two different forms depending on whether it is characterized as a distribution whose domain is over individual categorical nodes or over multinomial-style counts of nodes in each particular category (similar to the distinction between a set of ...

  3. Multinomial distribution - Wikipedia

    en.wikipedia.org/wiki/Multinomial_distribution

    This stems from the fact that it is sometimes convenient to express the outcome of a categorical distribution as a "1-of-k" vector (a vector with one element containing a 1 and all other elements containing a 0) rather than as an integer in the range …; in this form, a categorical distribution is equivalent to a multinomial distribution over ...

  4. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The Dirichlet negative multinomial distribution, a generalization of the beta negative binomial distribution. The generalized multivariate log-gamma distribution; The Marshall–Olkin exponential distribution; The continuous-categorical distribution, an exponential family supported on the simplex that generalizes the continuous Bernoulli ...

  5. Multinomial test - Wikipedia

    en.wikipedia.org/wiki/Multinomial_test

    Multinomial test is the statistical test of the null hypothesis that the parameters of a multinomial distribution equal specified values; it is used for categorical data. [ 1 ] Beginning with a sample of N {\displaystyle ~N~} items each of which has been observed to fall into one of k {\displaystyle k} categories.

  6. Dirichlet-multinomial distribution - Wikipedia

    en.wikipedia.org/wiki/Dirichlet-multinomial...

    The Dirichlet distribution is a conjugate distribution to the multinomial distribution. This fact leads to an analytically tractable compound distribution.For a random vector of category counts = (, …,), distributed according to a multinomial distribution, the marginal distribution is obtained by integrating on the distribution for p which can be thought of as a random vector following a ...

  7. Statistical data type - Wikipedia

    en.wikipedia.org/wiki/Statistical_data_type

    For example, count data requires a different distribution (e.g. a Poisson distribution or binomial distribution) than non-negative real-valued data require, but both fall under the same level of measurement (a ratio scale). Various attempts have been made to produce a taxonomy of levels of measurement.

  8. Statistical classification - Wikipedia

    en.wikipedia.org/wiki/Statistical_classification

    Multinomial logistic regression – Regression for more than two discrete outcomes; Probit regression – Statistical regression where the dependent variable can take only two values; The perceptron algorithm; Support vector machine – Set of methods for supervised statistical learning

  9. List of analyses of categorical data - Wikipedia

    en.wikipedia.org/wiki/List_of_analyses_of...

    Categorical distribution, general model; Chi-squared test; Cochran–Armitage test for trend; Cochran–Mantel–Haenszel statistics; Correspondence analysis; Cronbach's alpha; Diagnostic odds ratio; G-test; Generalized estimating equations; Generalized linear models; Krichevsky–Trofimov estimator; Kuder–Richardson Formula 20; Linear ...