range and test used in Moran's I

[Patrick Yang]

Dear All,

Greetings!

May I ask two questions about applying Local and Global Moran’s I.

(1) Is the range [-1,1] or (-1,1), or else?

(2) what the difference in between permutation test or asymptotic test for the significance of the result? Does Geoda use the former or the latter?

Thank you very much and if there are references to further drive my reading would be highly appreciated.

Zhenshan

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Assistant Professor,
Institute of Geographical Sciences and Natural Resources Research,
Chinese Academy of Sciences

[Julia Koschinsky]

Hi Patrick,

Please see these previous posts:

On Moran's I -1/+1 bounds:

http://geodacenter.asu.edu/openspace/2004-October/000357.html

On OpenGeoDa uses a permutation approach:

http://geodacenter.asu.edu/openspace/2003-November/000090.html

http://geodacenter.asu.edu/openspace/2003-December/000111.html

For differences between the permutation and analytical approach, please see:

http://geodacenter.asu.edu/openspace/2006-March/000718.html

Best,

Julia

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Arizona State University
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GeoDa Center for Geospatial Analysis and Computation
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[Paloma Taltavull de la Paz]

Hi Julia.
I follow you all from Berkeley!. Happy New Year.
I am starting to build space-time matrices, so probably I'll start with your
program soon. Is there any new version?.
Can I use it?. Thanks,
Paloma Taltavull

---- Mensaje Original ----

Paloma Taltavull de La Paz
Departamento de An�lisis Econ�mico Aplicado/Instituto de Econom�a Internacional
Universidad de Alicante
Campus de San Vicente del Raspeig s/n, 03080 Alicante, Espa�a
telf 34 965909693
Fax 34 965909322

[Gastón Pezzuchi]

Hi there

    Besides the original Moran's proposal (1948 - The interpretation of statistical maps. Journal of the Royal Statistical Society B, 10, 54-62) I also suggest to check Cliff and Ord (1973 - Spatial Autocorrelation. Pion, London), for specifics on Moran's I. And also LISA papers from Dr. Luc Anselin (for example, 1995 - "Local indicators of spatial association – LISA". Geographical Analysis, 27, 93-115).

   Anyway If I remember correctly Moran's I is not exactly constrained to lie in the (-1,1) range, although you can use a theoretical bound for I as a denominator and hence force it to the (-1,1) range. Also, most of the literature emphasizes that this is not likely to present a practical problem in real life data sets with "well behaved" proximity matrices.

Regards

Gaston

Departamento de Análisis Económico Aplicado/Instituto de Economía Internacional
Universidad de Alicante
Campus de San Vicente del Raspeig s/n, 03080 Alicante, España

telf 34 965909693
Fax 34 965909322

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Lic. Gastón Pezzuchi

Magister UNIGIS en Sistemas de Información Geográfica