pls.m

MATLAB科学计算与工程分析源代码源程序3

function [beta,VIP]=entirepls(X,Y)

[n,p]=size(X);
[n,q]=size(Y);

meanX=mean(X);%junzhi
varX=var(X);%fangcha
meanY=mean(Y);%junzhi
varY=var(Y);%fangcha


%%%%shu ju biao zhun hua
for i=1:p      
    for j=1:n
    X0(j,i)=(X(j,i)-meanX(i))/((varX(i))^0.5);
    end
end
for i=1:q
    for j=1:n
    Y0(j,i)=(Y(j,i)-meanY(i))/((varY(i))^0.5);
    end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

[omega(:,1),t(:,1),pp(:,1),XX(:,:,1),rr(:,1),YY(:,:,1)]=plsfactor(X0,Y0);
[omega(:,2),t(:,2),pp(:,2),XX(:,:,2),rr(:,2),YY(:,:,2)]=plsfactor(XX(:,:,1),YY(:,:,1));

PRESShj=0;
tt0=ones(n-1,2);

for i=1:n
    YY0(1:(i-1),:)=Y0(1:(i-1),:);
    YY0(i:(n-1),:)=Y0((i+1):n,:);
    tt0(1:(i-1),:)=t(1:(i-1),:);
     tt0(i:(n-1),:)=t((i+1):n,:);
     expPRESS(i,:)=(Y0(i,:)-t(i,:)*inv((tt0'*tt0))*tt0'*YY0);
     for m=1:q
        PRESShj=PRESShj+expPRESS(i,m)^2;
     end
end
 sum1=sum(PRESShj);
 PRESSh=sum(sum1);
 
 for m=1:q
        for i=1:n
             SShj(i,m)=YY(i,m,1)^2;
    end
 end
 sum2=sum(SShj);
 SSh=sum(sum2);

 Q=1-(PRESSh/SSh);

 k=3;
 %%%%%%%%%%%%%%%%  xun  huan,ti qu  zhu  yuan 
 while Q>0.0975
     [omega(:,k),t(:,k),pp(:,k),XX(:,:,k),rr(:,k),YY(:,:,k)]=plsfactor(XX(:,:,k-1),YY(:,:,k-1));
      PRESShj=0;
    tt00=ones(n-1,k);
 for i=1:n
    YY0(1:(i-1),:)=Y0(1:(i-1),:);
    YY0(i:(n-1),:)=Y0((i+1):n,:);
     tt00(1:(i-1),:)=t(1:(i-1),:);
     tt00(i:(n-1),:)=t((i+1):n,:);
     expPRESS(i,:)=(Y0(i,:)-t(i,:)*((tt00'*tt00)^(-1))*tt00'*YY0);
     for m=1:q
        PRESShj=PRESShj+expPRESS(i,m)^2;
     end
 end

 
PRESShj;
sum1=sum(PRESShj);
 PRESSh=sum(sum1);
  
 for m=1:q
        for i=1:n
            SShj(i,m)=YY(i,m,k-1)^2;
    end
 end


 sum2=sum(SShj);
 SSh=sum(sum2);
  Q=1-(PRESSh/SSh)

  if Q>0.0975
     k=k+1;
  end
 
 end
%%%%%%%%%%%%%%%%%%%%%
h=k-1;%%%%%%%%% ti chu zhu yuan de ge shu 
%%%%%%%%%%%%%%         huan  yuan  xi  shu 

omegaxing=ones(p,h,q);
for m=1:q
omegaxing(:,1,m)=rr(m,1)*omega(:,1);
   for i=2:(h)
       for j=1:(i-1)
          omegaxingi =(eye(p)-omega(:,j)*pp(:,j)');
          omegaxingii=eye(p);
          omegaxingii=omegaxingii*omegaxingi;
       end
      omegaxing(:,i,m)=rr(m,i)*omegaxingii*omega(:,i);
   end
beta(:,m)=sum(omegaxing(:,:,m),2);
end

%%%%%%%%  zui zhong de  xi  shu 
beta;%%%%%%%%%%%%
%%%%%%%%%%%%

%%%%%%%  ji  suan  xiang guan  xi  shu 
for i=1:h
    for j=1:q
        relation(i,j)=sum(prod(corrcoef(t(:,i),Y(:,j))))/2;
    end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Rd=relation.*relation;
RdYt=sum(Rd,2)/q;
Rdtttt=sum(RdYt);
omega22=omega.*omega;

VIP=((p/Rdtttt)*(omega22*RdYt)).^0.5;

VIP/sum(VIP);