What does General linear model mean?

Definitions for General linear model
gen·er·al lin·ear mod·el

This dictionary definitions page includes all the possible meanings, example usage and translations of the word General linear model.

Wikipedia

  1. General linear model

    The general linear model or multivariate regression model is a statistical linear model. It may be written as Y = X B + U , {\displaystyle \mathbf {Y} =\mathbf {X} \mathbf {B} +\mathbf {U},} where Y is a matrix with series of multivariate measurements (each column being a set of measurements on one of the dependent variables), X is a matrix of observations on independent variables that might be a design matrix (each column being a set of observations on one of the independent variables), B is a matrix containing parameters that are usually to be estimated and U is a matrix containing errors (noise). The errors are usually assumed to be uncorrelated across measurements, and follow a multivariate normal distribution. If the errors do not follow a multivariate normal distribution, generalized linear models may be used to relax assumptions about Y and U. The general linear model incorporates a number of different statistical models: ANOVA, ANCOVA, MANOVA, MANCOVA, ordinary linear regression, t-test and F-test. The general linear model is a generalization of multiple linear regression to the case of more than one dependent variable. If Y, B, and U were column vectors, the matrix equation above would represent multiple linear regression. Hypothesis tests with the general linear model can be made in two ways: multivariate or as several independent univariate tests. In multivariate tests the columns of Y are tested together, whereas in univariate tests the columns of Y are tested independently, i.e., as multiple univariate tests with the same design matrix.

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Numerology

  1. Chaldean Numerology

    The numerical value of General linear model in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of General linear model in Pythagorean Numerology is: 8

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"General linear model." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/General+linear+model>.

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