# shrink: Global, Parameterwise and Joint Shrinkage Factor Estimation

The predictive value of a statistical model can often be improved by applying shrinkage methods. This can be achieved, e.g., by regularized regression or empirical Bayes approaches. Various types of shrinkage factors can also be estimated after a maximum likelihood. While global shrinkage modifies all regression coefficients by the same factor, parameterwise shrinkage factors differ between regression coefficients. With variables which are either highly correlated or associated with regard to contents, such as several columns of a design matrix describing a nonlinear effect, parameterwise shrinkage factors are not interpretable and a compromise between global and parameterwise shrinkage, termed 'joint shrinkage', is a useful extension. A computational shortcut to resampling-based shrinkage factor estimation based on DFBETA residuals can be applied. Global, parameterwise and joint shrinkage for models fitted by lm(), glm(), coxph(), or mfp() is available.

- Author
- Daniela Dunkler [aut, cre], Georg Heinze [aut]
- Date of publication
- 2016-03-09 15:21:00
- Maintainer
- Daniela Dunkler <daniela.dunkler@meduniwien.ac.at>
- License
- GPL-2
- Version
- 1.2.1

## Man pages

- coef.shrink
- Returns Shrunken Regression Coefficients from Objects of...
- deepvein
- Deep Vein Thrombosis Study
- GBSG
- German Breast Cancer Study Group
- isrcs
- Test if 'rcs' from the 'rms' Package was Used in the Fit.
- predict.shrink
- Predict Method for Objects of Class 'shrink'
- print.shrink
- Print Method for Objects of Class 'shrink'
- shrink
- Global, Parameterwise and Joint Shrinkage of Regression...
- shrink.coxph
- Global, Parameterwise and Joint Shrinkage of Regression...
- shrink.glm
- Global, Parameterwise and Joint Shrinkage of Regression...
- shrink.lm
- Global, Parameterwise and Joint Shrinkage of Regression...
- shrink-package
- Global, Parameterwise and Joint Shrinkage Factor Estimation
- summary.shrink
- Summary Method for Objects of Class 'shrink'
- vcov.shrink
- Calculate Variance-Covariance Matrix of Shrinkage Factors for...

## Files in this package

shrink |

shrink/inst |

shrink/inst/CITATION |

shrink/inst/NEWS.Rd |

shrink/inst/doc |

shrink/inst/doc/JSSexample.Rmd |

shrink/inst/doc/JSSexample.html |

shrink/inst/doc/JSSexample.R |

shrink/NAMESPACE |

shrink/data |

shrink/data/GBSG.rda |

shrink/data/deepvein.rda |

shrink/R |

shrink/R/shrink.glm.R |

shrink/R/deepvein.R |

shrink/R/coef.shrink.R |

shrink/R/GBSG.R |

shrink/R/shrink.lm.R |

shrink/R/shrink.coxph.R |

shrink/R/utility.R |

shrink/R/print.shrink.R |

shrink/R/summary.shrink.R |

shrink/R/predict.shrink.R |

shrink/R/shrink.R |

shrink/R/vcov.shrink.R |

shrink/R/zzz.R |

shrink/vignettes |

shrink/vignettes/JSSexample.Rmd |

shrink/MD5 |

shrink/build |

shrink/build/vignette.rds |

shrink/DESCRIPTION |

shrink/man |

shrink/man/vcov.shrink.Rd |

shrink/man/deepvein.Rd |

shrink/man/print.shrink.Rd |

shrink/man/shrink.Rd |

shrink/man/coef.shrink.Rd |

shrink/man/shrink.coxph.Rd |

shrink/man/shrink-package.Rd |

shrink/man/shrink.lm.Rd |

shrink/man/shrink.glm.Rd |

shrink/man/summary.shrink.Rd |

shrink/man/GBSG.Rd |

shrink/man/predict.shrink.Rd |

shrink/man/isrcs.Rd |