現(xiàn)在有從論壇上下載的moran 的代碼，如下：求問這個代碼如何修正，運行總是有問題。這個代碼只能做單變量的moran 嗎？

function[I,I_standard,Z_I,Z_alpha,result]=moran(X,W,alpha)

%%X為列向量，W為權(quán)重矩陣

%alpha為顯著性水平

n = length(X);

Xmean = mean(X);

XminusX_mean = X - Xmean;

S0 = sum(sum(W));

%一、計算，moran'I值

%1、W未標準化，為0-1矩陣

I =XminusX_mean'*W*XminusX_mean*n/(XminusX_mean'*XminusX_mean*S0);

%2、W標準化，為(0,1)矩陣

W_rowSum = sum(W');

W_rowSum_temp = W_rowSum'*ones(1,n);

W_standard = W./W_rowSum_temp;

I_standard =XminusX_mean'*W_standard*XminusX_mean/(XminusX_mean'*XminusX_mean);

%二、moran'I值的顯著性檢驗

Z_I = moran_test(I_standard,W_standard);

Z_alpha = norminv(1-alpha,0,1);

%三、畫moran散點圖

%y = ax + b;線性擬合

%1、X標準化,W標準化

Xstd = std(X,1);%X的標準差

X_std = (X-Xmean)/Xstd;%X標準化

W_standard_X_standard = W_standard*X_std;

%result = myls(X_std,WX_standard);

result = moranScatterPlot(X_std, W_standard_X_standard );

title('X標準化,W標準化');

% %2、X標準化,W未標準化

%? ? Xstd = std(X,1);%X的標準差

%? ? X_std = (X-Xmean)/Xstd;%X標準化，X_std代表橫坐標

%? ? W_X_standard = W*X_std;%WX_standard代表縱坐標

%? ? % result = myls(X_std,WX_standard);

%? ?result =??moranScatterPlot(X_std,W_X_standard);

%? ?title('X標準化,W未標準化');

%3、X為未標準化，W標準化

%? ? W_standard_X = W_standard*X;%WX_standard代表縱坐標

%? ? % result = myls(X_std,WX_standard);

%? ? result = moranScatterPlot(X,W_standard_X)

%? ?? ?title('X為未標準化，W標準化');

% % 4、X未標準化,W未標準化

%? ? WX = W*X;%WX_standard代表縱坐標

%? ? result = moranScatterPlot(X,WX);

%? ? title('X未標準化,W未標準化');

Moran I 檢驗

function [Z_I,Z_alpha] =moran_test(I,W,alpha)

%%I為計算出來的moran'I值

%W為計算相應moran'I值的權(quán)重矩陣

n = size(W,1);

E_I = -1/(n-1);

S0 = sum(sum(W));

S1 = sum( sum( (W+W').^2 ) )/2;

S2 =sum( sum((W+W')').^2 );

Var_I =(n*n*S1-n*S2+3*S0*S0)/((n*n-1)*S0*S0)-E_I*E_I;

Z_I = (I-E_I)/sqrt(Var_I);

Z_alpha = norminv(1-alpha,0,1);

Moran I plot

function result = moranScatterPlot(X,WX)

%%X為列向量，W為權(quán)重矩陣

result = myls(X,WX);

X_lift = min(X) - 0.5*abs(min(X));

X_right = max(X) + 0.5*max(X);

xx = linspace(X_lift,X_right,1000);

yy = result(1)*xx + result(2);

plot(X,WX,'ro');

hold on

plot(xx,yy)

grid on

axis equal

end

總結(jié)

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