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A Methodology to Implement Box-Cox Transformation When No Covariate is Available
Date
2014-01-01
Author
Dag, Osman
Asar, Ozgur
İlk Dağ, Özlem
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Box-Cox transformation is one of the most commonly used methodologies when data do not follow normal distribution. However, its use is restricted since it usually requires the availability of covariates. In this article, the use of a non-informative auxiliary variable is proposed for the implementation of Box-Cox transformation. Simulation studies are conducted to illustrate that the proposed approach is successful in attaining normality under different sample sizes and most of the distributions and in estimating transformation parameter for different sample sizes and mean-variance combinations. Methodology is illustrated on two real-life datasets.
Subject Keywords
Statistical distributions
,
Regression analysis
,
Normality
,
Non-informative covariate
,
Maximum likelihood estimation
,
Data transformation
URI
https://hdl.handle.net/11511/32826
Journal
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
DOI
https://doi.org/10.1080/03610918.2012.744042
Collections
Department of Statistics, Article
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BibTeX
O. Dag, O. Asar, and Ö. İlk Dağ, “A Methodology to Implement Box-Cox Transformation When No Covariate is Available,”
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
, pp. 1740–1759, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32826.