复制研究Brunello等人2009:协变矩阵在计算上是奇异的

问题描述

我只想使用SHARE的数据来复制对Brunello et al (2009)的研究。

到目前为止,我已经完成了数据整理工作,现在想从David M. Kaplan实现R脚本。

但是包装函数抛出了以下错误:

quant_treat_effect_men <- ivqr.see(tau = tau[2],Y = Y_men,D=D_men,X.exog = X_men,Z.excl = Z_men,b.init = 0 )

gmmq(tau = tau,Y = cbind(Y,D),X = X,Z.excl = Z.excl,dB = dD +的错误: list(message =“系统在计算上是奇异的:倒数条件编号= 1.76601e-25”,调用= solve.default(J,F)) 另外:警告消息: 在gmmq(tau = tau,Y = cbind(Y,D),X = X,Z.excl = Z.excl,dB = dD +中: (以上)来自pracma :: newtonsys

的错误

我认为这是由于协变矩阵X_Men(3968 x 53)似乎在计算上是奇异的。 X_men的摘要将添加到该帖子的末尾。为了解决这个问题,我尝试使用套索来降低矩阵的复杂度。以下输出显示了结果:

rq1 = LASSO.fit(Y_men,X_men,tau = 0.1,intercept = T,lambda = 1,coef.cutoff=1e-08)
 rq1
 [1]  6.523971e-01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
[14]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
[27]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
[40]  0.000000e+00  0.000000e+00  0.000000e+00 -8.863981e-04 -2.191745e-04  4.236578e-04  2.619936e-04  4.748003e-05  0.000000e+00 -2.737640e-04  6.006391e-05 -4.542112e-04  3.343422e-04
[53]  2.287174e-05  0.000000e+00  0.000000e+00

现在我完全不确定以下问题:

  1. 作者如何设法使用如此大的协方差矩阵的分位数回归?
  2. 由于我仅使用了大约一半的观测值(由于仅对SHARE数据的限制),使用较少协变量的方式来控制效果是否“可以接受”?

X_men的摘要:

summary(X_men)
 country_name_Austria country_name_Belgium country_name_Denmark country_name_France country_name_Germany country_name_Greece country_name_Italy country_name_Netherlands country_name_Spain
 Min.   :0.00000      Min.   :0.0000       Min.   :0.0000       Min.   :0.0000      Min.   :0.0000       Min.   :0.0000      Min.   :0.00000    Min.   :0.0000           Min.   :0.00000   
 1st Qu.:0.00000      1st Qu.:0.0000       1st Qu.:0.0000       1st Qu.:0.0000      1st Qu.:0.0000       1st Qu.:0.0000      1st Qu.:0.00000    1st Qu.:0.0000           1st Qu.:0.00000   
 Median :0.00000      Median :0.0000       Median :0.0000       Median :0.0000      Median :0.0000       Median :0.0000      Median :0.00000    Median :0.0000           Median :0.00000   
 Mean   :0.03788      Mean   :0.1292       Mean   :0.0848       Mean   :0.1071      Mean   :0.1147       Mean   :0.1169      Mean   :0.07075    Mean   :0.1282           Mean   :0.06347   
 3rd Qu.:0.00000      3rd Qu.:0.0000       3rd Qu.:0.0000       3rd Qu.:0.0000      3rd Qu.:0.0000       3rd Qu.:0.0000      3rd Qu.:0.00000    3rd Qu.:0.0000           3rd Qu.:0.00000   
 Max.   :1.00000      Max.   :1.0000       Max.   :1.0000       Max.   :1.0000      Max.   :1.0000       Max.   :1.0000      Max.   :1.00000    Max.   :1.0000           Max.   :1.00000   
 country_name_Sweden  gdp_head_t_1   country_name_Austria_q country_name_Belgium_q country_name_Denmark_q country_name_France_q country_name_Germany_q country_name_Greece_q
 Min.   :0.000       Min.   : 2053   Min.   :-1.0000        Min.   :-23.000        Min.   :-11.0000       Min.   :-7.0000       Min.   :-2.000         Min.   :-12.0000     
 1st Qu.:0.000       1st Qu.: 4762   1st Qu.: 0.0000        1st Qu.:  0.000        1st Qu.:  0.0000       1st Qu.: 0.0000       1st Qu.: 0.000         1st Qu.:  0.0000     
 Median :0.000       Median : 8112   Median : 0.0000        Median :  0.000        Median :  0.0000       Median : 0.0000       Median : 0.000         Median :  0.0000     
 Mean   :0.147       Mean   : 7485   Mean   : 0.3166        Mean   : -1.571        Mean   : -0.1274       Mean   : 0.4398       Mean   : 0.794         Mean   : -0.2627     
 3rd Qu.:0.000       3rd Qu.: 9437   3rd Qu.: 0.0000        3rd Qu.:  0.000        3rd Qu.:  0.0000       3rd Qu.: 0.0000       3rd Qu.: 0.000         3rd Qu.:  0.0000     
 Max.   :1.000       Max.   :14705   Max.   :22.0000        Max.   :  1.000        Max.   : 11.0000       Max.   :18.0000       Max.   :21.000         Max.   :  5.0000     
 country_name_Italy_q country_name_Netherlands_q country_name_Spain_q country_name_Sweden_q country_name_Austria_q_2 country_name_Belgium_q_2 country_name_Denmark_q_2 country_name_France_q_2
 Min.   :-3.0000      Min.   :-13.0000           Min.   :-1.000       Min.   :-1.000        Min.   :  0.000          Min.   :  0.00           Min.   :  0.000          Min.   :  0.000        
 1st Qu.: 0.0000      1st Qu.:  0.0000           1st Qu.: 0.000       1st Qu.: 0.000        1st Qu.:  0.000          1st Qu.:  0.00           1st Qu.:  0.000          1st Qu.:  0.000        
 Median : 0.0000      Median :  0.0000           Median : 0.000       Median : 0.000        Median :  0.000          Median :  0.00           Median :  0.000          Median :  0.000        
 Mean   : 0.3916      Mean   : -0.4345           Mean   : 0.495       Mean   : 1.041        Mean   :  3.338          Mean   : 20.83           Mean   :  1.834          Mean   :  3.049        
 3rd Qu.: 0.0000      3rd Qu.:  0.0000           3rd Qu.: 0.000       3rd Qu.: 0.000        3rd Qu.:  0.000          3rd Qu.:  0.00           3rd Qu.:  0.000          3rd Qu.:  0.000        
 Max.   :16.0000      Max.   : 12.0000           Max.   :20.000       Max.   :22.000        Max.   :484.000          Max.   :529.00           Max.   :121.000          Max.   :324.000        
 country_name_Germany_q_2 country_name_Greece_q_2 country_name_Italy_q_2 country_name_Netherlands_q_2 country_name_Spain_q_2 country_name_Sweden_q_2 country_name_Austria_age
 Min.   :  0.00           Min.   :  0.000         Min.   :  0.000        Min.   :  0.000              Min.   :  0.000        Min.   :  0.0           Min.   : 0.000          
 1st Qu.:  0.00           1st Qu.:  0.000         1st Qu.:  0.000        1st Qu.:  0.000              1st Qu.:  0.000        1st Qu.:  0.0           1st Qu.: 0.000          
 Median :  0.00           Median :  0.000         Median :  0.000        Median :  0.000              Median :  0.000        Median :  0.0           Median : 0.000          
 Mean   :  7.56           Mean   :  2.411         Mean   :  3.469        Mean   :  3.323              Mean   :  4.995        Mean   : 10.1           Mean   : 2.108          
 3rd Qu.:  0.00           3rd Qu.:  0.000         3rd Qu.:  0.000        3rd Qu.:  0.000              3rd Qu.:  0.000        3rd Qu.:  0.0           3rd Qu.: 0.000          
 Max.   :441.00           Max.   :144.000         Max.   :256.000        Max.   :169.000              Max.   :400.000        Max.   :484.0           Max.   :65.000          
 country_name_Belgium_age country_name_Denmark_age country_name_France_age country_name_Germany_age country_name_Greece_age country_name_Italy_age country_name_Netherlands_age
 Min.   : 0.000           Min.   : 0.000           Min.   : 0.000          Min.   : 0.000           Min.   : 0.000          Min.   : 0.000         Min.   : 0.000              
 1st Qu.: 0.000           1st Qu.: 0.000           1st Qu.: 0.000          1st Qu.: 0.000           1st Qu.: 0.000          1st Qu.: 0.000         1st Qu.: 0.000              
 Median : 0.000           Median : 0.000           Median : 0.000          Median : 0.000           Median : 0.000          Median : 0.000         Median : 0.000              
 Mean   : 6.998           Mean   : 4.706           Mean   : 5.773          Mean   : 6.429           Mean   : 6.459          Mean   : 3.995         Mean   : 7.101              
 3rd Qu.: 0.000           3rd Qu.: 0.000           3rd Qu.: 0.000          3rd Qu.: 0.000           3rd Qu.: 0.000          3rd Qu.: 0.000         3rd Qu.: 0.000              
 Max.   :65.000           Max.   :65.000           Max.   :65.000          Max.   :65.000           Max.   :65.000          Max.   :65.000         Max.   :65.000              
 country_name_Spain_age country_name_Sweden_age country_name_Austria_age_2 country_name_Belgium_age_2 country_name_Denmark_age_2 country_name_France_age_2 country_name_Germany_age_2
 Min.   : 0.000         Min.   : 0.000          Min.   :   0               Min.   :   0.0             Min.   :   0.0             Min.   :   0.0            Min.   :   0.0            
 1st Qu.: 0.000         1st Qu.: 0.000          1st Qu.:   0               1st Qu.:   0.0             1st Qu.:   0.0             1st Qu.:   0.0            1st Qu.:   0.0            
 Median : 0.000         Median : 0.000          Median :   0               Median :   0.0             Median :   0.0             Median :   0.0            Median :   0.0            
 Mean   : 3.567         Mean   : 8.368          Mean   : 118               Mean   : 380.7             Mean   : 262.9             Mean   : 312.4            Mean   : 362.6            
 3rd Qu.: 0.000         3rd Qu.: 0.000          3rd Qu.:   0               3rd Qu.:   0.0             3rd Qu.:   0.0             3rd Qu.:   0.0            3rd Qu.:   0.0            
 Max.   :65.000         Max.   :65.000          Max.   :4225               Max.   :4225.0             Max.   :4225.0             Max.   :4225.0            Max.   :4225.0            
 country_name_Greece_age_2 country_name_Italy_age_2 country_name_Netherlands_age_2 country_name_Spain_age_2 country_name_Sweden_age_2    gdp_head      gdp_head_t_2        coef  
 Min.   :   0.0            Min.   :   0.0           Min.   :   0.0                 Min.   :   0.0           Min.   :   0              Min.   : 2309   Min.   : 2053   Min.   :1  
 1st Qu.:   0.0            1st Qu.:   0.0           1st Qu.:   0.0                 1st Qu.:   0.0           1st Qu.:   0              1st Qu.: 5060   1st Qu.: 4515   1st Qu.:1  
 Median :   0.0            Median :   0.0           Median :   0.0                 Median :   0.0           Median :   0              Median : 8363   Median : 7737   Median :1  
 Mean   : 358.7            Mean   : 226.9           Mean   : 395.2                 Mean   : 201.6           Mean   : 479              Mean   : 7806   Mean   : 7176   Mean   :1  
 3rd Qu.:   0.0            3rd Qu.:   0.0           3rd Qu.:   0.0                 3rd Qu.:   0.0           3rd Qu.:   0              3rd Qu.: 9864   3rd Qu.: 9186   3rd Qu.:1  
 Max.   :4225.0            Max.   :4225.0           Max.   :4225.0                 Max.   :4225.0           Max.   :4225              Max.   :14825   Max.   :14647   Max.   :1  

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