Irenaeus, Siteadmin, Check users, oversight, Administrators
351,729
edits
Changes
Generalized linear model (view source)
Revision as of 07:43, February 9, 2019
, 07:43, February 9, 2019no edit summary
The website statsoft.com offers this explanation of the '''generalized linear model''':
The website statsoft.com offers this explanation of the '''generalized linear model''':
"The Generalized Linear Model (GLZ) is a generalization of the general linear model (see, e.g., the General Linear Models, [[Multiple Regression]], and [[Analysis of variance|ANOVA]]/[[Multivariate Analysis of Variance|MANOVA]] topics). In its simplest form, a [[linear model]] specifies the (linear) relationship between a dependent (or response) [[variable]] Y, and a set of predictor variables, the X's, so that
"The Generalized Linear Model (GLZ) is a generalization of the [[General linear model|general linear model]] (see, e.g., the General Linear Models, [[Multiple Regression]], and [[Analysis of variance|ANOVA]]/[[Multivariate Analysis of Variance|MANOVA]] topics). In its simplest form, a [[linear model]] specifies the (linear) relationship between a dependent (or response) [[variable]] Y, and a set of predictor variables, the X's, so that
Y = b<sub>0</sub> + b<sub>1</sub>X<sub>1</sub> + b<sub>2</sub>X<sub>2</sub> + ... + b<sub>k</sub>X<sub>k</sub>
Y = b<sub>0</sub> + b<sub>1</sub>X<sub>1</sub> + b<sub>2</sub>X<sub>2</sub> + ... + b<sub>k</sub>X<sub>k</sub>
In this [[equation]] b<sub>0</sub> is the [[regression analysis|regression]] [[coefficient]] for the intercept and the b<sub>i</sub> values are the regression coefficien#REDIRECT [[Insert redirect]]ts (for variables 1 through k) computed from the [[data]]."<ref>[http://www.statsoft.com/textbook/generalized-linear-models/ Generalized Linear Models]</ref>
In this [[equation]] b<sub>0</sub> is the [[regression analysis|regression]] [[coefficient]] for the intercept and the b<sub>i</sub> values are the regression coefficients (for variables 1 through k) computed from the [[data]]."<ref>[http://www.statsoft.com/textbook/generalized-linear-models/ Generalized Linear Models]</ref>
Whereas in classical linear models the variable Y is assumed to follow a normal distribution, generalized linear models consider more general distributions, such as a Poisson or a multinomial distribution, and are therefore applicable to a wider field of problems.
Whereas in classical linear models the variable Y is assumed to follow a normal distribution, generalized linear models consider more general distributions, such as a Poisson or a multinomial distribution, and are therefore applicable to a wider field of problems.
{{reflist|2}}
{{reflist|2}}
[[Category: Statistics]]
[[Category:Statistics]]