Combining the Box-Cox power and generalised log transformations to accommodate nonpositive responses in linear and mixed-effects linear models

نویسندگان

چکیده

Transformation of a response variable can greatly expand the class problems for which linear regression model or mixed-model is appropriate. Beginning with fundamental work Box and Cox, maximum-likelihood-like estimation has been applied to select transformation from among family transformations, possible goals achieving approximate normality, removing nonlinearity in mean function, stabilizing variance. The Box-Cox power (BC) transformations by far most common methodology, it requires strictly positive response. In this article we introduce new that call nonpositives (BCN) allows inclusion few nonpositive values. BCN modification basic inspired generalised log, glog transformation, proposed use more limited variance normality. itself special case Johnson SU show derived turn simple BC family. Computer code implementing included car package R (Fox Weisberg, 2011). methodology illustrated using problem clinical chemistry. Keywords: Homoscedasticity, Multivariate analysis, Normality

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ژورنال

عنوان ژورنال: South African Statistical Journal

سال: 2022

ISSN: ['0038-271X', '1996-8450']

DOI: https://doi.org/10.37920/sasj.2017.51.2.5