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  Advances and Applications in Statistics  
 ISSN: 0972-3617
 
 
 

     Advances and Applications in Statistics
    Volume 8, Issue 1, Pages 57 - 71 (February 2008)


EVALUATION OF JOHNSON’S SYSTEM FOR TRANSFORMING NON-NORMAL DATA

Y. S. Yang (Taiwan)

Received April 28, 2007

References:



[1] K. O. Bowman and L. R. Shenton, Solutions to Johnson’s SB and SU, Comm. Statist. Simulation Comput. 17 (1988), 343-348.

[2] J. Bukac, Fitting SB curves using symmetrical percentile points, Biometrika 59 (1972), 688-690.

[3] H. Chen and G. Kamburowska, Fitting data to the Johnson system, J. Statist. Comput. Simulation 70 (2001), 21-32.

[4] Y. M. Chou, A. M. Polansky and R. L. Mason, Transforming non-normal data to normality in statistical process and control, J. Quality Tech. 30 (1988), 133-141.

[5] G. J. Hahn and S. S. Shapiro, Statistical Models in Engineering, Wiley, New York, 1967.

[6] N. L. Johnson, Systems of frequency curves generated by methods of translation, Biometrika 36 (1949), 149-176.

[7] L. Madansky, The Use of Method-of-moments Estimates in Chi-square Tests for Goodness of Fit, Rand Corp, California, 1967.

[8] D. T. Mage, An explicit solution for SB parameters using four percentile points, Technometrics 22 (1980), 247-251.

[9] A. M. Mood, F. A. Graybill and D. C. Boes, Introduction to the Theory of Statistics, McGraw-Hill, New York, 1974.

[10] D. B. Owen, The starship, Comm. Statist. Theory Methods 17 (1988), 315-323.

[11] T. Pyzdek, Why normal distributions aren’t [All that normal], Quality Engineering 7 (1995), 769-777.

[12] S. S. Shapiro and M. B. Wilk, An analysis of variance test for normality, Biometrika 52(3, 4) (1965), 591-611.

[13] M. A. Shayib, The procedure for selection of transformations from the Johnson system, Comm. Statist. Simulation Comput. 18 (1989), 1457-1464.

[14] J. F. Slifker and S. S. Shapiro, The Johnson system: selection and parameter estimation, Technometrics 22 (1980), 239-246.

Keywords and phrases: Johnson’s system, non-normal distribution, transformation.

 


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