Shapiro-Wilk, Shapiro-Francia, pp-plot regression (similar to SW) are also all stock tools regarding normality tests.
 
    At a deeper level, I can take Gregoire's original comment:
 
"Moreover, one can frequently not be "sure" about the lognormality of the analysed dataset"
 
to be 'one can not be sure that selection of a lognormal MODEL is the most appropriate MODEL selection.'  That is, part of the rationale for choosing the lognormal transformation in a given situation may be a belief that the data are lognormally distributed. I don't recall anyone ever asserting that the given data 'are NSCORE distributed'. :O)
My point is that one person may put more weight on tying the transformation to something physical or some perceived to be physical, whereas another practitioner may select the transformation perceived most correct mathematically.
 
Regards,
Mike
----- Original Message -----
Sent: Thursday, August 10, 2006 12:08 PM
Subject: Re: AI-GEOSTATS: Log versus nscore transform: K-S does not require binning

Peter,

While the chi-square does require binning, the K-S (Kolmogorov-Smirnov) does not.  While some do bin data for a K-S, one of the reasons many use the K-S (or the supposedly slightly better Anderson-Darling available in Minitab for example) is that it can be (& should generally be) done w/o binning.  Thus no binning decisions or underling default of a given software package to influence the outcome.

Best,

Bill

-- 
William V Harper, Mathematical Sciences, Otterbein College
Towers Hall 139, 1 Otterbein College
Westerville OH 43081-2006  USA
Office phone: 614-823-1417     Office Fax 614-823-3201
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For the best in geostatistics: http://ecossenorthamerica.com/


Peter Bossew wrote:
(original point by Gregoire:)
  
Moreover, one can frequently not be "sure" about the lognormality of 
      
the analysed dataset, so why would one still take the risk of using 
log-normal kriging?

    

(Anatoly:)
  
what means "not sure"??? Pearson and Kolmogorov-Smirnov tests will be 
used :-))
    



Anatoly,
Chi2 and KS-tests also require binning the data, and different binning
gives different p values, in general !




related questions:

1) the Weibull distribution can sometimes be used to describe datasets
with heavy tails. 
(e.g., www.itl.nist.gov/div898/handbook/eda/section3/eda3668.htm )
However I don't know how to transform Weibull -> normal and back. Does
somebody have experience ?

2) What is the effect of deviations of data from normal distr., in
particular due to the presence of extrema (outliers, hot/cold spots),  to
structural analysis and to estimation, be it of kriging or simulation type
?

regards, Peter


-----------------------------------------------------
Peter Bossew 

European Commission (EC) 
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ITALY 
  
Tel. +39 0332 78 9109 
Fax. +39 0332 78 5466 
Email: [EMAIL PROTECTED] 

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circumstances be regarded as stating an official position of the European
Commission."

 


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