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- A log-linear model is a mathematical model that takes the form of a function whose logarithm equals a linear combination of the parameters of the model, which makes it possible to apply (possibly multivariate) linear regression. That is, it has the general form , in which the fi(X) are quantities that are functions of the variable X, in general a vector of values, while c and the wi stand for the model parameters. The term may specifically be used for:
* A log-linear plot or graph, which is a type of semi-log plot.
* Poisson regression for contingency tables, a type of generalized linear model. The specific applications of log-linear models are where the output quantity lies in the range 0 to ∞, for values of the independent variables X, or more immediately, the transformed quantities fi(X) in the range −∞ to +∞. This may be contrasted to logistic models, similar to the logistic function, for which the output quantity lies in the range 0 to 1. Thus the contexts where these models are useful or realistic often depends on the range of the values being modelled. (en)
- Le modèle log-linéaire est un modèle linéaire de fonctions logarithmiques approximant un système de fonctions plus difficile à résoudre. Un modèle économique peut être approximé par un système d'équations log-linéaire. (fr)
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- 1919 (xsd:nonNegativeInteger)
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- Le modèle log-linéaire est un modèle linéaire de fonctions logarithmiques approximant un système de fonctions plus difficile à résoudre. Un modèle économique peut être approximé par un système d'équations log-linéaire. (fr)
- A log-linear model is a mathematical model that takes the form of a function whose logarithm equals a linear combination of the parameters of the model, which makes it possible to apply (possibly multivariate) linear regression. That is, it has the general form , in which the fi(X) are quantities that are functions of the variable X, in general a vector of values, while c and the wi stand for the model parameters. The term may specifically be used for:
* A log-linear plot or graph, which is a type of semi-log plot.
* Poisson regression for contingency tables, a type of generalized linear model. (en)
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- Modèle log-linéaire (fr)
- Log-linear model (en)
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