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Log-linear model : ウィキペディア英語版
Log-linear model

A log-linear model is a mathematical model that takes the form of a function whose logarithm is 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
:\exp \left(c + \sum_ w_i f_i(X) \right),
in which the are quantities that are functions of the variables , in general a vector of values, while and the 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 , or more immediately, the transformed quantities 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.
==See also==

*Loglinear analysis
*General linear model
*Generalized linear model
* Boltzmann distribution

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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