According to Noel Cressie's book (Statistics for
spatial dat, Wiley, p427)
"Moran (1948) proposed a test of spatial dependence
between sites...........
The statistic I is known as Moran's contiguity ratio;
it tests for random spatial scatter of, say, black
sites in black/white images ......."
So, yes, a first order correlation statistic.
Personally, I don't think this is going to be
meaningful unless your samples are on a regular grid
and the distance between each Zi,Zj pair is constant.
In that case it would be equivalent to a point on a
correlogram.
Cressie gives a couple of good references to fuller
explanation.
Isobel Clark
http://uk.geocities.com/drisobelclark
--- Yadollah Waghei <[EMAIL PROTECTED]> wrote: > Hello
AI-Geostats members
> I set this mail to AI-GEOSTATS , But I did not
> recieve any response, therefore I send it again:
> I saw Marrons I Statistic in GS+ Software. It is an
> statistic computed in
> each lags as follow:
>
> N(h){sum(Zi*Zj)/sum(Zi^2)}
>
> This statistics and its plot arise for me two
> problem:
> - Is it the correlation function?
> - How can interpret this statistics or its plot?
> (Also I think that N(h) needs the power -1, i.e
> 1/N(h) is the correct not
> N(h)!).
>
> I have another question about GS+ method for
> semi-variogram model fitting:
> --- By which method GS+ estimates the parameters of
> semi-variogram? (By
> Least Square, Wieghted Least Square, Maximum
> Likelihood,...?)
>
> Yadollah Waghei
> Dep.of Biostatistics
> Tarbiat Modarres Univ.(Tehran)Po.Box: 14115-111
> Tel:8011001-3872 Fax:8007989
>
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