Johnson transform to normality using the Z family of distributions. Performs the Johnson Transformation based on the method of the percentiles. Returns the the transformed variable, the function used and de p-value of the transformation.
x vector of observations
The values of the Johnson Transformation Function can be obtained
The objects returned consists of the following items: function type of function used in transformation (SB,SL or SU) p-value the resulting p-value of the transformation transformed the data vector of transformed variable f.gamma, f.lambda, f.epsilon and f.eta the values of the variables in the transformation function.
Note that the transformed variable often present a good fit to the normal distribution.
Edgar Santos Fernandez
Chou, Youn Min; Polansky, A. M. M. R. L. (1998), "Transforming non normal data to normality in statistical process control", Journal of Quality Technology 30, 2, April.
Johnson, N. L. (1949), "Systems of Frequency Curves Generated by Methods of Translation". URL: http://www.jstor.org/stable/2332539
Slifker, J. F. & Shapiro, S. S. (1980), "The johnson system: selection and parameter estimation", Technometrics 22(2).
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