The Box–Cox Transformation: Review and Extensions

The Box–Cox power transformation family for nonnegative responses in linear models has a long and interesting history both statistical practice theory, which we summarize. relationship between generalized log transformed data is illustrated. Extensions investigated include the transform sides model Yeo–Johnson observations that can be positive or negative. paper also describes an extended allows negative to have different transformations. Analyses of show this necessary. Robustness enters fan plot forward search provides ordering data. Plausible transformations are checked with plot. These procedures used compare parametric nonparametric produced by smoothing.