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## General linear model
> [!blank-container|right-medium] Relationship of Data, Information and Intelligence
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> Example of [simple linear regression](https://en.wikipedia.org/wiki/Simple_linear_regression "Simple linear regression"), which has one independent variable
The **general linear model** or **general multivariate regression model** is a compact way of simultaneously writing several [multiple linear regression](https://en.wikipedia.org/wiki/Multiple_linear_regression "Multiple linear regression") models. In that sense it is not a separate statistical [linear model](https://en.wikipedia.org/wiki/Linear_model "Linear model"). The various multiple linear regression models may be compactly written as $Y=XB + U$
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.
## Other Notes on Regression Model
> [!multi-column]
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> ` | Statistical Analysis |
> | ----------------------------------------------------------------------------------------------- |
> | Correlation does not imply causation |
> | Exploratory data analysis |
> | Descriptive Statistics |
>
{ .block-language-dataview}`
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> ` | Regression |
> | ----------------------------------------------------------------------- |
> | Logistic regression |
> | Generalized linear model |
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{ .block-language-dataview}`
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> ` | Model Validation |
> | ----------------------------------------------------------------------------- |
> | Goodness of fit |
> | Errors and residuals |
> | Mean and predicted response |
>
{ .block-language-dataview}`
> sample text extracted from [General linear model - Wikipedia](https://en.wikipedia.org/wiki/General_linear_model) and [Linear regression - Wikipedia](https://en.wikipedia.org/wiki/Linear_regression#Simple_and_multiple_linear_regression)
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