Hello

I have a VERY skewed data set that fails tests for normality and log
normality. Variograms are OK for th elower percentiles of the set but as
one goes above the median the variograms get quite poor. And that is
causing me a bit of a headache for Indicator kriging.

I came across a paper by Juang et al (J. Environ. Qual. 2001,
30:894-903) that discussed the use of Rank-order geostats for highly
skewed data and had my interest peked.

I transformed the data by ranking them, then dividing each rank
transformed data point by the total number of data points. And the
variogram (omni directional, all data) looked exceptionally well.
Enthused, I began reading and searching the archive on ai-geostats but
have some questions.

1. Is rank order (as in rank/number of samples) geostatistics known by
some other name as there doesnt seem to be too much out there bar a
couple of papers?

2. Is n-score geostatistics the same thing?

3. Some people seem to say the rank should be divided by N+1 and others
N. Which should it be or have I misunderstood?

4. Juang discusses back transforming the data using a "middle point
model". I cannot understand how he has acheived this. Has anyone any
experience in back transforming the estimates to concentrations? I
remember problems I had before with log transformed estimates and
whether or not to add half the kriging variance to the back
transformation value and would rather not fall into the same kind of
problem.

If any one has any info on rank order geostatistics and particularly
back transforming, I would be very grateful.

Thanks in advance

M dowdall

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