[localmoran.exact]

Dear all, 

I have been trying to obtain local Moran?s I with the exact approach (localmoran.exact)
 but I have some issues and would need your help. 

I am trying to bring to light how spatial patterns of wealth have evolved from 2000 to 2016 in the European Union. 

Looking at the Regional Gross Domestic Product (GDP) of European regions, my lm model looks like this : 

lm(log(EU_NUTS at data[,year[i]])~1+factor(EU_NUTS at data$NUTS_L1))

where log(EU_NUTS at data[,year[i]]) are log of regional GDPs

and factor(EU_NUTS at data$NUTS_L1) is the vector of country dummies.

Sadly, I obtain an error message that says : 

Error in integrate(integrand, lower = 0, upper = upper) : 
  a limit is missing
Moreover : Warning messages:
1: In sqrt(2 * t2 - t1^2) : production of NaN
2: In sqrt(2 * t2 - t1^2) : production of NaN 

According to the GitHub source code , 

        Vi <- listw2star <https://rdrr.io/cran/spdep/man/localmoran.sad.html>(B, select[i], style=style, n, D <https://rdrr.io/r/stats/deriv.html>, a,
	    zero.policy=zero.policy)
        Viu <- lag.listw <https://rdrr.io/cran/spdep/man/lag.listw.html>(Vi, u, zero.policy=TRUE <https://rdrr.io/r/base/logical.html>)
	Ii <- c <https://rdrr.io/r/base/c.html>(crossprod <https://rdrr.io/r/base/crossprod.html>(u, Viu) / utu)
        ViX <- lag.listw <https://rdrr.io/cran/spdep/man/lag.listw.html>(Vi, X, zero.policy=TRUE <https://rdrr.io/r/base/logical.html>)
        MViM <- t <https://rdrr.io/r/base/t.html>(X) %*% ViX %*% XtXinv
        t1 <- -sum <https://rdrr.io/r/base/sum.html>(diag <https://rdrr.io/r/base/diag.html>(MViM))
        sumsq.Vi <- function <https://rdrr.io/r/base/function.html>(x) {
            if <https://rdrr.io/r/base/Control.html> (is.null <https://rdrr.io/r/base/NULL.html>(x)) NA <https://rdrr.io/r/base/NA.html>
	    else <https://rdrr.io/r/base/Control.html> sum <https://rdrr.io/r/base/sum.html>(x^2)
	}
	trVi2 <- sum <https://rdrr.io/r/base/sum.html>(sapply <https://rdrr.io/r/base/lapply.html>(Vi$weights <https://rdrr.io/r/stats/weights.html>, sumsq.Vi), na.rm=TRUE <https://rdrr.io/r/base/logical.html>)
	t2a <- sum <https://rdrr.io/r/base/sum.html>(diag <https://rdrr.io/r/base/diag.html>(t <https://rdrr.io/r/base/t.html>(ViX) %*% ViX %*% XtXinv))
	t2b <- sum <https://rdrr.io/r/base/sum.html>(diag <https://rdrr.io/r/base/diag.html>(MViM %*% MViM))
	t2 <- trVi2 - 2*t2a + t2b
	e1 <- 0.5 * (t1 + sqrt <https://rdrr.io/r/base/MathFun.html>(2*t2 - t1^2))
	en <- 0.5 * (t1 - sqrt <https://rdrr.io/r/base/MathFun.html>(2*t2 - t1^2))

My guess is that my setting causes (2*t2<t1^2) : Is it ? Why would it ? 

My database is available here : http://hcc.cnrs.fr/wp-content/uploads/2018/08/mydata2018-1.txt <http://hcc.cnrs.fr/wp-content/uploads/2018/08/mydata2018-1.txt>
and my code : http://hcc.cnrs.fr/wp-content/uploads/2018/08/myCode_2018.txt <http://hcc.cnrs.fr/wp-content/uploads/2018/08/myCode_2018.txt>

I thank you very much for your attention and your help. 

Best Regards
Lisa 

PhD Student
GREDEG, Universit? C?t? d?Azur