::Free Statistics and Forecasting Software::

v1.2.1

 

:: Box-Cox Normality Plot - Free Statistics Software (Calculator) ::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online software (calculator) computes the Box-Cox Normality Plot. This analysis identifies the lambda (Box-Cox parameter) value that results in the (quasi-)optimal fit against the normal distribution. The software uses two computational algorithms to find the value for lambda. The first method maximizes the correlation from the normal probability plot (for all values between a user-specified minimum and maximum). The second method uses Maximum Likelihood Estimation (without limitation) and a Likelihood Ratio test against the nulhypotheses: lambda = 0 and lambda = 1.

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Data
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Type of transformation 
Minimum lambda 
Maximum lambda 
Constant term to be added before analysis is performed (?)
Display table with original and transformed data? 
Chart options
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Source code of R module
Top | Output | Charts | References



Cite this software as:
Wessa P., (2021), Box-Cox Normality Plot (v1.1.13) in Free Statistics Software (v1.2.1), Office for Research Development and Education, URL http://www.wessa.net/rwasp_boxcoxnorm.wasp/
The R code is based on :
NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/, 2006-10-03.
Box, G. E. P. and Cox, D. R. (1964) An analysis of transformations. Journal of the Royal Statisistical Society, Series B. 26 211-46.
Cook, R. D. and Weisberg, S. (1999) Applied Regression Including Computing and Graphics. Wiley
Fox, J. and Weisberg, S. (2011) An R Companion to Applied Regression, Second Edition, Sage.
Velilla, S. (1993) A note on the multivariate Box-Cox transformation to normality. Statistics and Probability Letters, 17, 259-263.
Weisberg, S. (2014) Applied Linear Regression, Fourth Edition, Wiley.
Yeo, I. and Johnson, R. (2000) A new family of power transformations to improve normality or symmetry. Biometrika, 87, 954-959.
Top | Output | Charts | References

To cite Wessa.net in publications use:
Wessa, P. (2024), Free Statistics Software, Office for Research Development and Education,
version 1.2.1, URL https://www.wessa.net/

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Software Version : 1.2.1
Algorithms & Software : Patrick Wessa, PhD
Server : www.wessa.net

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