Box and Cox (J Royal Stat Soc Ser B 26:211–252; 1964) suggested a family of power transformations to improve additivity, normality, and homoscedasticity of observations. According to the review by Sakia (Statistician 41:169–178; 1992), the Box-Cox transformation and its improved versions are described and then their applications to linear or nonlinear regression are briefly mentioned as follows.

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Box-Cox Transformation

  • Takashi Daimon

摘要

Box and Cox (J Royal Stat Soc Ser B 26:211–252; 1964) suggested a family of power transformations to improve additivity, normality, and homoscedasticity of observations. According to the review by Sakia (Statistician 41:169–178; 1992), the Box-Cox transformation and its improved versions are described and then their applications to linear or nonlinear regression are briefly mentioned as follows.