# deviance.glmnet

##### Extract the deviance from a glmnet object

Compute the deviance sequence from the glmnet object

- Keywords
- models, regression

##### Usage

`"deviance"(object,...)`

##### Arguments

- object
- fitted glmnet object
- ...
- additional print arguments

##### Details

A glmnet object has components `dev.ratio`

and `nulldev`

.
The former is the fraction of (null) deviance explained. The deviance calculations incorporate weights if
present in the model. The deviance is defined to be 2*(loglike_sat -
loglike), where loglike_sat is the log-likelihood for the saturated
model (a model with a free parameter per observation).
Null deviance is defined to
be 2*(loglike_sat -loglike(Null)); The NULL model refers to the
intercept model, except for the Cox, where it is the 0 model. Hence
dev.ratio=1-deviance/nulldev, and this
`deviance`

method returns (1-dev.ratio)*nulldev.

##### Value

##### References

Friedman, J., Hastie, T. and Tibshirani, R. (2008)
*Regularization Paths for Generalized Linear Models via Coordinate
Descent*

##### See Also

`glmnet`

, `predict`

, `print`

, and `coef`

methods.

##### Examples

`library(glmnet)`

```
x=matrix(rnorm(100*20),100,20)
y=rnorm(100)
fit1=glmnet(x,y)
deviance(fit1)
```

*Documentation reproduced from package glmnet, version 2.0-5, License: GPL-2*