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要求回归因子显著时Box-Cox变换的用法
刘迎洲1, 仁俊杰2, 李福生3
1.西北农林科技大学 生命科学学院;2.西安财经学院 管理学院;3.陕西工运学院 教学部
摘要:
对在需要使用Box-Cox变换,且要求引人的回归因子均显著的情况下,如何使用Box-Cox变换的问题给出了3种方法,并对3种方法及其计算结果的一些性质进行了理论上的分析与比较。结果表明,3种方法在计算量和计算精度上互有差异,所估计的参数又各有其性质,可根据实际情况选择使用。最后通过对泡桐片崩解试验数据的处理结果验证了3种方法的有效性。
关键词:  Box Cox变换  线性变换  回归因子
DOI:
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Methods of using Box-Cox transformation to meet the need of the factors being significant in the regression equation
Abstract:
In order to deal with some data,we need to use Box-Cox transformation and to meet the need of the factors being significant in the regression equation.In this situation,the question is how to use Box-Cox transformation.This paper presents three kinds of the methods that they can be used to solve the question,and studies some characters of the methods.Because of some differences in efficiency of computation,error of regression and characters estimate parameters,one of the methods should be selectted according to the factual situation and the need.The validity of the methods is demonstrated by the result to apply them in dealing with the data of Paulownia pill disintegration test.
Key words:  Box-Cox transformation  linear regression  regression factor