On Mon, 17 Aug 2009, Haenlein, Michael wrote:

Dear all,

I have a question regarding the spdep package:

Assume that each person within my dataset is characterized by a continuous variable y. In order to test for spatial autocorrelation in y I calculated a Moran's I statistic. The problem is that y is also likely to be influenced by a series of other variables x that are unique to each person in my dataset. To test to which extent the autocorrelation effect is present even when accounting for the effect of x, I first did a regression y = f(x) + Epsilon and then used the regression residuals Epsilon to determine a Moran's I statistic using the lm.morantest function. One of the reviewers of my paper now states that this two step approach (first running a regression and then using the residuals to determine Moran's I) could be inefficient. S/he asks me to correct for the potential impact of x on y in one step when calculating Moran's I.

If the referee is refering to the social networks literature, you will have to find out what "one step" means there, if anything. It is not a term used in connection with Moran's I for spatial data.


Would anyone happen to know any other way of doing what I'd like to do that only requires one step?

If you believe that the referee's "one step" might be met by fitting a model including both the x variables and the dependence in either y or the residuals of the regression, look at lagsarlm() and errorsarlm(). Maybe check against the Ward/Gleditsch "Spatial regression models" Sage volume if need be.


Or could you please provide me with a source I could quote that states that this two-step approach is fine from a statistical perspective?


When working across disciplines, nothing constitutes absolute authority in this way. Testing residuals ought to be OK, but see Schabenberger & Gotway for caveats (especially about concluding that autocorrelation is present when the real problem is model misspecification).


Hope this helps,

Roger

Thanks very much for your help in advance,



Regards,



Michael





Michael Haenlein
Professor of Marketing
ESCP Europe - The School of Management for Europe
79, Avenue de la R??publique??|??75011 Paris??| France

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--
Roger Bivand
Economic Geography Section, Department of Economics, Norwegian School of
Economics and Business Administration, Helleveien 30, N-5045 Bergen,
Norway. voice: +47 55 95 93 55; fax +47 55 95 95 43
e-mail: roger.biv...@nhh.no

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