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.
목차
Abstract 1. Introduction 2. R-program and It’s Application for Box-Cox Transformation of Univariate Data 2.1. R–program for Univariate Box-Cox Transformation 2.2. An Example Using R-Program for Univariate Box-Cox Power Transformation 3. R-Program and Its Appication for Box-Cox Transformation of Bivariate Data 3.1. R-program for Box-Cox Transformation of Bivariate Data 3.2. An Example Using R-program for Bivariate Box-Cox Power Transformation 4. Conclusions and suggestions Acknowledgements References
키워드
NormalityBox-Cox Power TransformationRQ-Q plot
저자
Hoh Yoo Baek [ Professor, Division of Big Data Financial Statistics, Wonkwang University ]
Corresponding Author
조선대학교 기초과학연구원 [The Natural Science Research Institute of Chosun]
설립연도
2008
분야
자연과학>자연과학일반
소개
본 연구원은 기초과학을 진흥하기 위한 연구·교육 및 그 보급을 목적으로 한다. 이 목적을 달성하기 위하여 다음 각 호의 사업을 수행한다.
1. 기초과학 제 분야에 관한 조사와 연구
2. 기초과학에 관한 학술행사(학술대회, 학술세미나, 심포지엄, 초청강연회 등) 개최
3. 학문후속세대 및 일반인을 위한 기초과학 교육
4. 기관지『조선자연과학논문지』 발간
5. 『자연과학연구총서』, 『자연과학번역총서』 등 단행본 발간
6. 기타 본 연구원의 목적과 관련된 사업
간행물
간행물명
통합자연과학논문집(구 조선자연과학논문집) [Journal of Integrative Natural Science]