Many people get confused between these two terms :

**General Linear Model**and**Generalized Linear Model**. Do they really mean the same thing ? If not, what is the difference between them?**General Linear Model**

When we try to establish mathematical relationship between dependent and independent variables assuming linear relationship between them then the mathematical model that we get is called a general linear model.

It is the foundation for the t-test, Analysis of Variance (ANOVA), Analysis of Covariance (ANCOVA), regression analysis, and many of the multivariate methods including factor analysis, cluster analysis, multidimensional scaling, discriminant function analysis, canonical correlation, and others.

**Generalized Linear Model**

The Generalized Linear Model is a generalization of the general linear model. In general linear model, a dependent variable must be linearly associated with values on the independent variables. Whereas the relationship in the generalized linear model between dependent variable and independent variables can be non-linear.

In generalized linear model, due to categorical dependent variable we cannot find out the linear relationship between dependent and independent variables. Therefore, we need a function called “Link function” through which we can establish a linear relation with independent variables.

1. In general linear model, the dependent variable is continuous. While, dependent variable in the generalized linear model is non-continuous.

In generalized linear model, due to categorical dependent variable we cannot find out the linear relationship between dependent and independent variables. Therefore, we need a function called “Link function” through which we can establish a linear relation with independent variables.

**Key Differences**1. In general linear model, the dependent variable is continuous. While, dependent variable in the generalized linear model is non-continuous.

2. In general linear model, the relationship between dependent variable and independent variables is linear. While, relationship in the generalized linear model between dependent variable and independent variable can be non-linear.

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