六步学会用MATLAB做空间计量回归详细步骤

1、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toolboxexlink点击,启用宏 E:MATLABtoolboxexlink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

2、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=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

3、*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解释每一行分别表示：该面板数据的时期数为30（T=30），该面板数据有30个地区（N=30），将空间权重矩阵标准化（W=normw(w1)），将名为A（以矩阵形式出现在MATLABA中）的变量的第3列数据定义为被解释变量y,将名为A的变量的第4、5、6列数据定义为解释变量矩阵

4、x，定义一个有N*T行，1列的全1矩阵，该矩阵名为：xconstant，（ones即为全1矩阵）说明解释变量矩阵x的大小：有nobs行，K列。（size为描述矩阵的大小）。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',

5、9;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=no

6、rmw(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-mea

7、nnx*results.beta; % including the constant termyme = 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)

8、*results.resid'*results.residLMsarsem_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,x

9、with);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'*y

10、me;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.residLMsarsem_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); xconsta

11、nt=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)*r

12、esults.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-squar

13、ed including fixed effectssige=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:T t1=(t-1)*N+1;t2

14、=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_m

15、odel=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:T t1=(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;inf

16、o.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 effec

17、ts）T=30; N=46; W=normw(W1);y=A(:,3);x=A(:,4,6); for t=1:T t1=(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

18、,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=no

19、rmw(W1);y=A(:,3);x=A(:,4,6); for t=1:T t1=(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); vname

20、s=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);

21、for t=1:T t1=(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');

22、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:T t1=(t-1)*N+1;t2=t*N; wx(t1:t2,:)=W*x(t1:t2,:);endxcon

23、stant=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'

24、;);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:T t1=(t-1)*N+1;t2=t*N; wx(t1:t2,:)=W*x(t1:t2,:);

25、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&

26、#39;,'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;

27、N=46; W=normw(W1);y=A(:,3);x=A(:,4,6); for t=1:T t1=(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(

28、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% Wa

29、ld test for spatial Durbin model against spatial lag modelbtemp=results.parm;varcov=results.cov;Rafg=zeros(K,2*K+2);for k=1:K Rafg(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 s

30、patial error% Wald test spatial Durbin model against spatial error modelR=zeros(K,1);for k=1:K R(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:K Rafg(k,k) =btemp(2*K+1); % k changed i

31、n 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);end Wald_spatial_error=R'*inv(Rafg*varcov*Rafg')*Rprob_spatial_error=1-chis_cdf (Wald_spatial_error,K)LR test spatial lagresultssar=sa

32、r_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;

33、 N=46; W=normw(W1);y=A(:,3);x=A(:,4,6); for t=1:T t1=(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)sp

34、at_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:K Rafg(k,K+k)=1; % R(1,3)=0 and R(2,4)=0;endWald_spatial_lag=(Rafg*btemp)'*inv(Ra

35、fg*varcov*Rafg')*Rafg*btempprob_spatial_lag= 1-chis_cdf (Wald_spatial_lag, K) wald test spatial errorR=zeros(K,1);for k=1:K R(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:K Rafg(

36、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);end Wald_spatial_error=R'*inv(Rafg*varcov*Rafg')*Rprob_spatial_error= 1-chis_cdf (Wald_spatial_error,

37、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_spa

38、tial_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:T t1=(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

39、); 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

40、);y=A(:,3);x=A(:,4,6); for t=1:T t1=(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 effect

41、s 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:T t1=(t-1)*N+1;t2=t*N; wx(t1:t2,:)=W*x(t1:t2,:);endxconstant=ones(N*T,1);nobs K=size(x);info.lfl

42、ag=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

43、_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:T t1=(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 fo

44、r 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_e

45、stimates(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:T t1=(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

46、_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,

47、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:T t1=(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