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Box-Cox Power Transformation Using R

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Author(s)
Hoh Yoo Ba
Issued Date
2020
Keyword
Normality Box-Cox Power Transformation R Q-Q plot
Abstract
If normality of an observed data is not a viable assumption, we can carry out normal-theory analyses by suitable transforming data. Power transformation by Box and Cox, one of the transformation methods, is derived the power which maximized the likelihood function. But it doesn't induces the closed form in mathematical analysis. In this paper, we compose some R the syntax of which is easier than other statistical packages for deriving the power with using numerical methods. Also, by using R, we show the transformed data approximately distributed the normal through Q-Q plot in univariate and bivariate cases with some examples. Finally, we present the value of a goodness-of-fit statistic(AD) and its p-value for normal distribution. In the similar procedure, this method can be extended to more than bivariate case.
Publisher
조선대학교 기초과학연구원
Citation
Hoh Yoo Ba. (2020). Box-Cox Power Transformation Using R, 조선자연과학논문집 | Vol.13, No.2 p.76 ~ p.82
Type
Laboratory article
ISSN
2005-1042
URI
http://oak.chosun.ac.kr/handle/2020.oak/16431
http://www.chosun.ac.kr/user/indexSub.do?codyMenuSeq=24427455&siteId=ricns&dum=dum&boardId=175013&page=1&command=view&boardSeq=320253&categoryId=315119&categoryDepth=00140002
Appears in Collections:
2020 > Vol.13, No.2
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