::Free Statistics and Forecasting Software::



:: ML Fitting and QQ Plot - Beta Distribution - 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 shape1 and shape2 parameter of the Beta distribution fitted against any data series that is specified. The computation is performed by means of the Maximum-likelihood method. In addition the PPCC Contour Plot (Probability Plot Correlation Coefficient Contour Plot) and the QQ Plot are shown.

Note: it is often not possible to find optimal values for shape1 and shape2. The reason is that the estimation algorithm need good starting values.

Special thanks to 'Kyle' for pointing out the missing 'xbar' in line 39 of the R code!

Enter (or paste) your data delimited by hard returns.

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minimum value of shape1 parameter 
maximum value of shape1 parameter 
minimum value of shape2 parameter 
maximum value of shape2 parameter 
Chart options

Source code of R module
Top | Output | Charts | References

Cite this software as:
Wessa P., (2015), Maximum-likelihood Beta Distribution Fitting (v1.0.6) in Free Statistics Software (v1.2.1), Office for Research Development and Education, URL http://www.wessa.net/rwasp_fitdistrbeta.wasp/
The R code is based on :
Venables, W. N. and Ripley, B. D. (2002), Modern Applied Statistics with S., Fourth edition., Springer.
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/

© All rights reserved. Academic license for non-commercial use only.
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Software Version : 1.2.1
Algorithms & Software : Patrick Wessa, PhD
Server : www.wessa.net

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