Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A methodology to implement Box-Cox transformation when no covariate is available
AU - Dag, Osman
AU - Asar, Özgür
AU - Ilk, Ozlem
PY - 2014
Y1 - 2014
N2 - 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 paper, 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 data sets.
AB - 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 paper, 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 data sets.
KW - Normality
KW - Data transformation
KW - Regression analysis
KW - Non-informative covariate
KW - Statistical distributions
KW - Maximum likelihood estimation
U2 - 10.1080/03610918.2012.744042
DO - 10.1080/03610918.2012.744042
M3 - Journal article
VL - 43
SP - 1740
EP - 1759
JO - Communications in Statistics – Simulation and Computation
JF - Communications in Statistics – Simulation and Computation
SN - 0361-0918
IS - 7
ER -