A Methodology to Implement Box-Cox Transformation When No Covariate is Available


Dag O., Asar Ö. , Ilk O.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.43, ss.1740-1759, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 7
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/03610918.2012.744042
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Sayfa Sayıları: ss.1740-1759

Özet

Box-Cox transformation is one of the most commonly used methodologies when data do not follow normal distribution. However, its use is restricted since it usually requires the availability of covariates. In this article, the use of a non-informative auxiliary variable is proposed for the implementation of Box-Cox transformation. Simulation studies are conducted to illustrate that the proposed approach is successful in attaining normality under different sample sizes and most of the distributions and in estimating transformation parameter for different sample sizes and mean-variance combinations. Methodology is illustrated on two real-life datasets.