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An Effective Algorithm of Power Transformation: Box-Cox Transformation
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  • An Effective Algorithm of Power Transformation: Box-Cox Transformation
  • An Effective Algorithm of Power Transformation: Box-Cox Transformation
저자명
Lee. Seung-Woo,Cha. Kyung-Joon
간행물명
한국수학사학회지
권/호정보
1998년|11권 2호|pp.63-76 (14 pages)
발행정보
한국수학사학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

When teaching the linear regression analysis in the class, the power transformation must be introduced to fit the linear regression model for nonlinear data. Box and Cox (1964) proposed the attractive power transformation technique which is so called Box-Cox transformation. In this paper, an effective algorithm selecting an appropriate value for Box-Cox transformation is developed which is considered to find a value minimizing error sum of squares. When the proposed algorithm is used to find a value for transformation, the number of iterations needs to be considered. Thus, the number of iterations is examined through simulation study. Since SAS is one of most widely used packages and does not provide the procedure that performs iterative Box-Cox transformation, a SAS program automatically choosing the value for transformation is developed. Hence, the students could learn how the Box-Cox transformation works, moreover, researchers can use this for analysis of data.