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Acronyms that contain the term General linear model
What does General linear model mean? This page is about the various possible meanings of the acronym, abbreviation, shorthand or slang term: General linear model.
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What does General linear model mean?
- 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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"General linear model." Abbreviations.com. STANDS4 LLC, 2024. Web. 3 Jun 2024. <https://www.abbreviations.com/General%20linear%20model>.
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