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# lhs_iman - Budiman(2004 nvar=length(xmean n if(nargin==4...

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function z=lhs_iman(xmean,xsd,corr,nsample,ntry) % z=lhs_iman(xmean,xsd,corr,nsample,nloop) % LHS with correlation, normal distribution % method of Iman & Conover % Iman, R. L., and W. J. Conover. 1982. A Distribution-free Approach to Inducing Rank Correlation % Among Input Variables. Communications in Statistics B 11:311-334 % % Input: % xmean : mean of data (1,nvar) % xsd : std.dev of data (1,nvar) % corr : correlation matrix of the variables (nvar,nvar) % nsample : no. of samples % ntry : optional, no of trial to get a close correlation matrix % Output: % z : random sample (nsample,nvar)
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Unformatted text preview: % Budiman (2004) % nvar=length(xmean); n if(nargin==4), ntry=1; end; i % induce data with correlation P = chol(corr); P=P'; P xm=zeros(1,nvar); xs=ones(1,nvar); R=latin_hs(xm,xs,nsample,nvar); T = corrcoef(R); Q=chol(T); Q=Q'; S = P * inv(Q); RB= R*S'; R amin=realmax; for il=1:ntry for j=1:nvar % rank RB [r,id]=ranking(RB(:,j)); % sort R [RS,id]=sort(R(:,j)); % permute RS so has the same rank as RB z(:,j) = RS(r).*xsd(j)+xmean(j); end ae=sum(sum(abs(corrcoef(z)-corr))); if(ae<amin), zb=z; amin=ae; end; end e z=zb;...
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