Generalized modulus power transformations
- Varghese T. George,
- Robert C. Elston
- University Medical Center New Orleans
Scholary Output:
Contribution to journal
Article
Peer-reviewAbstract
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 lead to a better approximation to a normal distribution in an example in which the response is expected to follow a rectangular hyperbola.
Publication Information
Output type
Scholary Output:
Contribution to journal
Article
Peer-reviewOriginal language
English (US)Pages from-to (Number of pages)
Pages 2933-2952 (20 pages)Journal (Volume, Issue Number)
Communications in Statistics - Theory and Methods (Volume 17, Issue 9)Publication milestones
- Published - 01/01/1988
Publication status
Published - 01/01/1988
ISSN
0361-0926Publication IDs
- Scopus: 0000688240
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Funding Details
We thank Drs. J. A. Sp~izerand K. M. Neison for the data used in the example. We also thank one of the referees whose comments were heipfui in improving this paper. This work was supp~rted in part by U. S. Pub!ic Hea!th Service research grant GM28356 from the National Institute of General Medical Sciences and training grant 1 T32 HL07567 from the National Heart, Lung and Blood I n s t i t u t e .
FundersFunding numbers
National Heart Lung and Blood Institute
-U. S. Pub!ic Hea!th Service
GM28356
NIGMS
1 T32 HL07567