MATLAB-空间计量模型详细步骤

1.excel与MATLAB链接：Excel：选项——加载项——COM加载项——转到——没有勾选项2. MATLAB安装目录中寻找toolbox——exlink——点击,启用宏E:\MATLAB\toolbox\exlink然后，Excel中就出现MATLAB工具（注意Excel中的数据：）3.启动matlab（1）点击start MATLAB（2）senddata to matlab ，并对变量矩阵变量进行命名（注意：选取变量为数值，不包括各变量）(data表中数据进行命名)（空间权重进行命名）（3）导入MATLAB中的两个矩阵变量就可以看见4.将elhorst和jplv7两个程序文件夹复制到MATLAB安装目录的toolbox文件夹5.设置路径：6.输入程序，得出结果T=30;N=46;W=norm(W1);y=A(:,3);x=A(:,[4,6]);xconstant=ones(N*T,1); [nobs K]=size(x);results=ols(y,[xconstant x]);vnames=strvcat('logcit','intercept','logp','logy');prt_reg(results,vnames,1);sige=results.sige*((nobs-K)/nobs);loglikols=-nobs/2*log(2*pi*sige)-1/(2*sige)*results.resid'*results.resid % The (robust)LM tests developed by ElhorstLMsarsem_panel(results,W,y,[xconstant x]); % (Robust) LM tests 解释附录：静态面板空间计量经济学一、OLS静态面板编程1、普通面板编程T=30;N=46;W=normw(W1);y=A(:,3);x=A(:,[4,6]);xconstant=ones(N*T,1);[nobs K]=size(x);results=ols(y,[xconstant x]);vnames=strvcat('logcit','intercept','logp','logy');prt_reg(results,vnames,1);sige=results.sige*((nobs-K)/nobs);loglikols=-nobs/2*log(2*pi*sige)-1/(2*sige)*results.resid'*results.resid % The (robust)LM tests developed by ElhorstLMsarsem_panel(results,W,y,[xconstant x]); % (Robust) LM tests2、空间固定OLS （spatial-fixed effects）T=30;N=46;W=normw(W1);y=A(:,3);x=A(:,[4,6]);xconstant=ones(N*T,1);[nobs K]=size(x);model=1;[ywith,xwith,meanny,meannx,meanty,meantx]=demean(y,x,N,T,model );results=ols(ywith,xwith);vnames=strvcat('logcit','logp','logy'); % should be changed if x is changedprt_reg(results,vnames);sfe=meanny-meannx*results.beta; % including the constant term yme = y - mean(y);et=ones(T,1);error=y-kron(et,sfe)-x*results.beta;rsqr1 = error'*error;rsqr2 = yme'*yme;FE_rsqr2 = 1.0 - rsqr1/rsqr2 % r-squared including fixed effectssige=results.sige*((nobs-K)/nobs);logliksfe=-nobs/2*log(2*pi*sige)-1/(2*sige)*results.resid'*results.resid LMsarsem_panel(results,W,ywith,xwith); % (Robust) LM tests3、时期固定OLS（time-period fixed effects）T=30;N=46;W=normw(W1);y=A(:,3);x=A(:,[4,6]);xconstant=ones(N*T,1);[nobs K]=size(x);model=2;[ywith,xwith,meanny,meannx,meanty,meantx]=demean(y,x,N,T,model );results=ols(ywith,xwith);vnames=strvcat('logcit','logp','logy'); % should be changed if x is changedprt_reg(results,vnames);tfe=meanty-meantx*results.beta; % including the constant termyme = y - mean(y);en=ones(N,1);error=y-kron(tfe,en)-x*results.beta;rsqr1 = error'*error;rsqr2 = yme'*yme;FE_rsqr2 = 1.0 - rsqr1/rsqr2 % r-squared including fixed effectssige=results.sige*((nobs-K)/nobs);logliktfe=-nobs/2*log(2*pi*sige)-1/(2*sige)*results.resid'*results.resid LMsarsem_panel(results,W,ywith,xwith); % (Robust) LM tests4、空间与时间双固定模型T=30;N=46;W=normw(W1);y=A(:,3);x=A(:,[4,6]);xconstant=ones(N*T,1);[nobs K]=size(x);model=3;[ywith,xwith,meanny,meannx,meanty,meantx]=demean(y,x,N,T,model );results=ols(ywith,xwith);vnames=strvcat('logcit','logp','logy'); % should be changed if x is changedprt_reg(results,vnames)en=ones(N,1);et=ones(T,1);intercept=mean(y)-mean(x)*results.beta;sfe=meanny-meannx*results.beta-kron(en,intercept);tfe=meanty-meantx*results.beta-kron(et,intercept);yme = y - mean(y);ent=ones(N*T,1);error=y-kron(tfe,en)-kron(et,sfe)-x*results.beta-kron(ent,intercept); rsqr1 = error'*error;rsqr2 = yme'*yme;FE_rsqr2 = 1.0 - rsqr1/rsqr2 % r-squared including fixed effects sige=results.sige*((nobs-K)/nobs);loglikstfe=-nobs/2*log(2*pi*sige)-1/(2*sige)*results.resid'*results.residLMsarsem_panel(results,W,ywith,xwith); % (Robust) LM tests二、静态面板SAR模型1、无固定效应（No fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0;info.model=0;info.fe=0;results=sar_panel_FE(y,[xconstant x],W,T,info);vnames=strvcat('logcit','intercept','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sar(results,vnames,W);2、空间固定效应（Spatial fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0;info.model=1;info.fe=0;results=sar_panel_FE(y,x,W,T,info);vnames=strvcat('logcit','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sar(results,vnames,W);3、时点固定效应（Time period fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=2;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sar_panel_FE(y,x,W,T,info);vnames=strvcat('logcit','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sar(results,vnames,W);4、双固定效应（Spatial and time period fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=3;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sar_panel_FE(y,x,W,T,info);vnames=strvcat('logcit','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sar(results,vnames,W);三、静态面板SDM模型1、无固定效应（No fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0;info.model=0;info.fe=0;results=sar_panel_FE(y,[xconstant x wx],W,T,info);vnames=strvcat('logcit','intercept','logp','logy','W*logp','W*logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W);2、空间固定效应（Spatial fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=1;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sar_panel_FE(y,[x wx],W,T,info);vnames=strvcat('logcit','logp','logy','W*logp','W*logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W);3、时点固定效应（Time period fixed effects）T=30;N=46;W=norm(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=2;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn on% New routines to calculate effects estimatesresults=sar_panel_FE(y,[x wx],W,T,info);vnames=strvcat('logcit','logp','logy','W*logp','W*logy');% Print out coefficient estimatesprt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W)4、双固定效应（Spatial and time period fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.bc=0;info.lflag=0; % required for exact resultsinfo.model=3;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sar_panel_FE(y,[x wx],W,T,info);vnames=strvcat('logcit','logp','logy','W*logp','W*logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W)wald test spatial lag% Wald test for spatial Durbin model against spatial lag modelbtemp=results.parm;varcov=results.cov;Rafg=zeros(K,2*K+2);for k=1:KRafg(k,K+k)=1; % R(1,3)=0 and R(2,4)=0;endWald_spatial_lag=(Rafg*btemp)'*inv(Rafg*varcov*Rafg')*Rafg*btemp prob_spatial_lag=1-chis_cdf (Wald_spatial_lag, K)wald test spatial error% Wald test spatial Durbin model against spatial error modelR=zeros(K,1);for k=1:KR(k)=btemp(2*K+1)*btemp(k)+btemp(K+k); % k changed in 1,7/12/2010% R(1)=btemp(5)*btemp(1)+btemp(3);% R(2)=btemp(5)*btemp(2)+btemp(4);endRafg=zeros(K,2*K+2);for k=1:KRafg(k,k) =btemp(2*K+1); % k changed in 1, 7/12/2010Rafg(k,K+k) =1;Rafg(k,2*K+1)=btemp(k);% Rafg(1,1)=btemp(5);Rafg(1,3)=1;Rafg(1,5)=btemp(1);% Rafg(2,2)=btemp(5);Rafg(2,4)=1;Rafg(2,5)=btemp(2);endWald_spatial_error=R'*inv(Rafg*varcov*Rafg')*Rprob_spatial_error=1-chis_cdf (Wald_spatial_error,K)LR test spatial lagresultssar=sar_panel_FE(y,x,W,T,info);LR_spatial_lag=-2*(resultssar.lik-results.lik)prob_spatial_lag=1-chis_cdf (LR_spatial_lag,K)LR test spatial errorresultssem=sem_panel_FE(y,x,W,T,info);LR_spatial_error=-2*(resultssem.lik-results.lik)prob_spatial_error=1-chis_cdf (LR_spatial_error,K)5、空间随机效应与时点固定效应模型T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);[ywith,xwith,meanny,meannx,meanty,meantx]=demean(y,[x wx],N,T,2); % 2=time dummiesinfo.model=1;results=sar_panel_RE(ywith,xwith,W,T,info);prt_spnew(results,vnames,1)spat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W)wald test spatial lagbtemp=results.parm(1:2*K+2);varcov=results.cov(1:2*K+2,1:2*K+2);Rafg=zeros(K,2*K+2);for k=1:KRafg(k,K+k)=1; % R(1,3)=0 and R(2,4)=0;endWald_spatial_lag=(Rafg*btemp)'*inv(Rafg*varcov*Rafg')*Rafg*btempprob_spatial_lag= 1-chis_cdf (Wald_spatial_lag, K)wald test spatial errorR=zeros(K,1);for k=1:KR(k)=btemp(2*K+1)*btemp(k)+btemp(K+k); % k changed in 1,7/12/2010% R(1)=btemp(5)*btemp(1)+btemp(3);% R(2)=btemp(5)*btemp(2)+btemp(4);endRafg=zeros(K,2*K+2);for k=1:KRafg(k,k) =btemp(2*K+1); % k changed in 1, 7/12/2010 Rafg(k,K+k) =1;Rafg(k,2*K+1)=btemp(k);% Rafg(1,1)=btemp(5);Rafg(1,3)=1;Rafg(1,5)=btemp(1);% Rafg(2,2)=btemp(5);Rafg(2,4)=1;Rafg(2,5)=btemp(2);endWald_spatial_error=R'*inv(Rafg*varcov*Rafg')*Rprob_spatial_error= 1-chis_cdf (Wald_spatial_error,K)LR test spatial lagresultssar=sar_panel_RE(ywith,xwith(:,1:K),W,T,info);LR_spatial_lag=-2*(resultssar.lik-results.lik)prob_spatial_lag=1-chis_cdf (LR_spatial_lag,K)LR test spatial errorresultssem=sem_panel_RE(ywith,xwith(:,1:K),W,T,info);LR_spatial_error=-2*(resultssem.lik-results.lik)prob_spatial_error=1-chis_cdf (LR_spatial_error,K)四、静态面板SEM模型1、无固定效应（No fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0;info.model=0;info.fe=0;results=sem_panel_FE(y,[xconstant x],W,T,info);vnames=strvcat('logcit','intercept','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model); panel_effects_sar(results,vnames,W);2、空间固定效应（Spatial fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0;info.model=1;info.fe=0;results=sem_panel_FE(y,x,W,T,info);vnames=strvcat('logcit','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model); panel_effects_sar(results,vnames,W);3、时点固定效应（Time period fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=2;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sem_panel_FE(y,x,W,T,info);vnames=strvcat('logcit','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sar(results,vnames,W);4、双固定效应（Spatial and time period fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=3;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sem_panel_FE(y,x,W,T,info);vnames=strvcat('logcit','logp','logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=0;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sar(results,vnames,W);五、静态面板SDEM模型1、无固定效应（No fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0;info.model=0;info.fe=0;results=sem_panel_FE(y,[xconstant x wx],W,T,info);vnames=strvcat('logcit','intercept','logp','logy','W*logp','W*logy'); prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W);2、空间固定效应（Spatial fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=1;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sem_panel_FE(y,[x wx],W,T,info);vnames=strvcat('logcit','logp','logy','W*logp','W*logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W);3、时点固定效应（Time period fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.lflag=0; % required for exact resultsinfo.model=2;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn on% New routines to calculate effects estimatesresults=sem_panel_FE(y,[x wx],W,T,info);vnames=strvcat('logcit','logp','logy','W*logp','W*logy');% Print out coefficient estimatesprt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model);panel_effects_sdm(results,vnames,W)4、双固定效应（Spatial and time period fixed effects）T=30;N=46;W=normw(W1);y=A(:,[3]);x=A(:,[4,6]);for t=1:Tt1=(t-1)*N+1;t2=t*N;wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);[nobs K]=size(x);info.bc=0;info.lflag=0; % required for exact resultsinfo.model=3;info.fe=0; % Do not print intercept and fixed effects; use info.fe=1 to turn onresults=sem_panel_FE(y,[x wx],W,T,info);vnames=strvcat('logcit','logp','logy','W*logp','W*logy');prt_spnew(results,vnames,1)% Print out effects estimatesspat_model=1;direct_indirect_effects_estimates(results,W,spat_model); panel_effects_sdm(results,vnames,W)。