Generalized modulus power transformations
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 17 (9) , 2933-2952
- https://doi.org/10.1080/03610928808829781
Abstract
Several power transformations proposed in the past are examined to find out the type of distributions that they can normalize, and a general family of transformations "the Generalized Modulus Power Transformation- (GEMPT), is proposed, The GEMPT will remove skewness and kurtosis and induce normality from a broad class of distributions, which we investigate, implying certain limitations for all power transformations. The use of GEMPT is illustrated and shown to iead to a better approximation to a normal distribution in an example in which the response is expected to follow a rectangular hyperbola.Keywords
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