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  • Endogenous treatment effect eteffects vc eregress

    Hello everyone

    I am currently trying to do an evaluation of the effect of access to technological extension services on the productivity of firms in a developing country. The literature on technological extensionism highlights that access to extension services can potentially be endogenous (unobservables simultaneously affect the firm's decision to seek extension services and its performance).

    My database however is quite small and comes from an innovation survey executed by an official agency that collects different characteristics of a sample of firms. Within this database, the number of firms that during the period sought extension services is only 49 out of a total of 1,289 observations in the sample.

    So far I have used eteffects in STATA version 16.0 to control for treatment endogeneity and applied the endogeneity test afterwards. The test results show that it is not possible to reject the null hypothesis so there is no endogeneity and I could apply other methods such as IPWRA. However, when reviewing the options I found the extended regression models (ERM) that also allow to calculate the ATE and ATET. So I applied the same model as in eteffects, specifying that the treatment is endogenous. The results in this case prove the treatment is indeed endogenous and, moreover, the estimate for the ATET is totally different than the one calculated by eteffects.

    Could someone explain to me why the difference in the results of the two approaches?

    Thank you for any guidance

    Sam

    1. ETEFFECTS
    Code:
    gl treat    lnexport15 lnL15 c.age##c.age skill_15 i.grupo15 i.Qkextrj15 i.Acc i.provcite cuota i.div 
    eteffects (lnDprod lnDkfijo lnDL i.div i.size_2015) (cite $treat i.size_2015, probit), atet control(0) //aequation vce(robust)  
    estat endogenous
    2. EREGRESS
    Code:
     
    eregress lnDprod lnDkfijo lnDL i.div i.size_2015, entreat(cite = $treat i.size_2015) 
    estat teffects, atet
    I attach a sample of my database (sorry, the variable labels are in Spanish).

    Code:
    * Example generated by -dataex-. To install: ssc install dataex
    clear
    input float(lnDprod lnDkfijo lnDL size_2015 cite lnexport15 lnL15 age skill_15 grupo15 Qkextrj15 Acc_pub provcite cuota div)
     -.021850586  -.33870125    1 3 0         0 4.2195077  13  .29850745 0 1 0 1   .0025692764 23
      -1.0519571           0    4 1 0         0 2.1972246   8        .25 0 1 0 1  .00013030018 25
        .4869909   1.4994154    0 3 0         0  5.204007  42   .0883978 0 3 0 1    .002718331 71
      -.14678574    9.583786    0 2 0  11.78296  2.995732  30   .2105263 0 1 0 1  .00011448725 22
       .05129337   .05129147   -1 2 0  16.96421 3.0445225   8         .1 0 1 0 1   .0020406202 24
      -1.0468416   -.5463896    7 1 0         0  2.397895   8          0 0 1 0 1   .0014742848 32
       -.8403025   -.4627581    0 1 0         0 2.0794415   7          0 0 1 0 1  .00008931365 25
       -.5025492           0    0 1 0         0  1.609438  10          0 0 1 0 0  .00025951708 16
       .07564926   .27859974   -5 2 0  13.66666  3.713572  46         .5 0 1 0 1   .0025356836 20
      -.14143372           0   25 2 1 17.315104 3.0445225  24         .2 0 1 0 1   .0006784001 10
      -.07459164           0    0 1 0         0  2.397895  40          0 1 1 0 1  .00005121665 23
        .3238068    .5459385    5 3 0         0 4.3307333  14         .2 0 1 0 1   .0036374955 32
      -.18734646   .13291168   53 4 0         0   5.70711  36 .033333335 0 1 0 1    .001871514 10
       .11271858    .3231201  -18 3 0  12.61154  4.060443  77   .2982456 1 1 0 1   .0040043467 15
       .11267185  -1.1793947    3 3 0         0  5.209486  26   .2032967 1 1 0 1   .0005115914 10
       .01586914  -1.7421885    2 3 0 13.728864  5.398163  23  .59090906 1 2 0 1    .015181175 20
      -.14756012   -1.645667   67 3 0 16.159956  5.043425  44  .11688311 0 1 0 1    .004423147 25
      -.11185074           0    0 4 0 18.162052  5.620401  55  .23636363 0 1 0 1    .021334114 24
         .503417    .7052422   -2 2 0         0  3.218876  24       .375 0 1 0 1    .005785304 25
        .3714514    8.746828   -3 2 0         0 2.6390574  32  .15384616 0 1 0 1  .00023822644 14
      -.07223606  -1.0824804    0 2 0         0   2.70805  14   .2142857 0 1 0 1   .0039513726 16
      -.03809166  -1.4982705    0 2 0 10.330584  2.772589  14   .3333333 0 1 0 1   .0007267679 28
               0           0    0 1 0 13.815512 1.7917595   5         .2 0 1 0 0  .00001892976 10
       .10793304   .37629795   25 3 0   14.3313  4.779123  32  .15254237 0 1 0 1   .0024480834 25
        .3469362    9.661702    0 2 0         0  3.367296  11   .4285714 0 1 0 0  .00003982736 10
       -.3774986    11.99938    2 2 0         0  3.178054  15  .13043478 0 1 0 1   .0021171982 14
       -.3845348   .06218529    1 1 0         0 1.3862944   7   .6666667 0 1 0 1  .00002493976 71
      -.24039364   .58119583   38 3 0         0  5.225747  23  .07027027 0 1 1 1    .014327654 15
        .2751875    2.887886    5 3 0         0 4.7095304  16   .0909091 0 1 0 1   .0005476744 25
        .4650097  -1.0190048   13 3 0         0  4.158883  12  .15873016 1 1 0 0   .0007025523 10
       -.2226267    7.259292   -3 2 0         0  2.995732   7  .57894737 0 1 0 1   .0004186834 71
      -.18076324   -.3808956   -6 3 0 17.189821 4.3694477  10  .25641027 0 1 0 1    .002557078 24
       -.3849268    .5747299    0 2 0 14.167748 3.9318256   8        .76 0 3 0 1   .0012052236 71
      -.04464245    .4353123    0 3 0  11.59549  4.564348  29   .3157895 0 1 0 1   .0006192101 10
       -.8131294  -1.4821582   10 4 0 18.386717   6.05444  25  .02352941 0 1 0 0    .001858902 10
      -.18500614   -.3580999    3 4 0 12.266867  5.934894  23   .3050398 0 3 0 1     .02189973 22
      -.06857872  -.05429745  257 4 0 18.233652  8.504918  12 .024301337 0 1 0 1    .001652708 10
       .25405693  -1.0460367   16 4 0         0  5.752573  39  .19745223 1 2 1 1     .05051396 23
       .06768894   3.0409956    1 1 0  14.99056   1.94591  17   .3333333 0 3 0 1  .00031754575 11
        .1249981   -.0901394   20 3 0 16.927423  5.361292  29  .10377359 0 1 0 1   .0039022586 14
      -.22162056   1.3668618    0 1 0         0 1.7917595  19         .4 0 1 0 0   .0004641471 31
       .00795269   -.7731724  225 4 1 18.823112  8.043663  63   .2997109 1 2 0 1     .07408877 10
      .008747101    .6601477   -4 3 1 11.356926 4.0943446  19   .5254237 1 3 0 1   .0046413112 20
       -.7868834   -3.892228    0 1 0         0  2.397895   7          1 0 3 0 1  .00023225507 71
       -1.301571  -.10422134    2 2 0 16.691484  3.367296  12   .3214286 0 1 0 1      .0079781 22
       .25770855    .4922538    0 3 0 17.513212  5.463832  14 .021276595 0 3 0 0   .0007827886 10
      -.08994293    2.060296    0 1 0         0 2.1972246  14        .25 0 1 0 1   .0003540879 22
      -.26158428   -.7679377  -33 3 0         0  5.398163   7  .10454545 0 3 0 1     .02005634 33
      -.10461807    .2203636   44 4 0  19.17188  6.860664  57  .09548793 1 2 0 1     .04536956 22
        .1892042   -10.48865    0 2 0         0  2.484907   8          0 0 1 0 1   .0017294813 31
      -.25763416   1.6497202    1 1 1 12.856174 2.0794415  13   .7142857 0 1 1 1  .00015687557 11
      -.20214462  -.03921986    4 2 0         0  3.135494  15   .4545455 0 1 0 1   .0046134954 16
       .11091042   -1.780286    0 4 0 17.459373  5.765191  32  .14150943 0 1 0 1    .006076913 22
      -.16748047   1.0581417  -56 3 0         0  5.030438  17  .09868421 0 1 0 1   .0013416485 25
               .           .   -6 1 0         0   1.94591  30          0 0 1 0 1  .00010547184 23
      -.05818367   .07474613   66 4 0  19.68265  7.592366  77   .1826438 1 1 0 1     .06662825 10
        .7532358  -.08581448 -141 4 0         0  5.556828  19   .1007752 0 3 0 1    .006396934 20
      -.10923672     .897191   21 3 0 10.088015  4.406719  34   .3827161 0 1 0 1   .0008205485 71
       -.8360291   .09221363    0 3 0 18.425793   4.26268   9  .25714287 0 3 0 1   .0019029792 10
       .05856609   -1.897893   30 3 0  15.44169  5.525453  19         .1 0 1 0 1     .00572302 22
        -1.26694           0    2 1 0         0 1.0986123   5          0 0 1 0 1   .0005050882 27
       .17764187   1.8856926    2 3 0 17.090055 4.1108737  21   .3333333 0 1 0 1   .0031127864 20
       -2.980569  -11.146204   -5 2 0         0 3.0445225   8         .5 0 1 0 1    .005294049 71
        -.360817  -1.4382372    0 2 0 10.953014  3.295837  34  .03846154 0 1 0 1  .00049461547 25
        .5469475    .3209362    1 2 0         0  3.912023   8  .06122449 0 1 1 1    .002531606 16
       .26773167   .43429375   13 2 0         0   3.78419   9   .9767442 1 1 0 1   .0006287515 71
        2.046277   -2.405614   -9 2 0         0   2.70805  31   .3571429 0 1 0 1  .00019434135 31
       -.3823385    9.254453    0 1 0         0 1.3862944  18          0 0 1 0 1   .0003113205 27
        2.641924           0   -2 3 0         0 4.7004805  14  .11926606 0 1 0 1   .0003143995 33
       -.2295313  -.02360916    2 1 0         0 2.0794415  17          0 0 1 0 0  .00013545017 25
        .1944046   -3.142589    0 1 0         0 2.1972246   6       .375 0 1 0 1   .0001124937 22
      -.20025635   1.1126423    0 1 0         0  2.397895   9         .3 0 1 0 1    .000580177 10
      -.28901958  -1.0432911   14 3 0         0  4.564348  24  .05263158 0 1 0 1    .009643066 15
      -.05709457  -1.6741934    1 3 0         0  4.553877  50  .25531915 0 1 0 1    .003230231 27
    -.0030174255  -1.1208677   -3 4 0         0  5.743003  22 .019292604 0 1 0 1    .003691942 33
       .23391533   11.278747    0 1 0  16.34124  2.397895  18         .5 0 1 0 0  .00025765295 10
       -.9022388    .5791025   26 3 0 13.557114  4.941642  22   .7410072 0 3 0 1    .004595376 71
         .426012   2.7777014   10 2 0         0  2.944439   4  .11111111 0 1 0 1   .0009716832 28
       .07714462 -.006279945  -42 4 0 17.784084  7.675082  24   .3525313 0 3 0 1     .02928413 10
      -.26942635   .17977715  -14 3 0 12.795702  4.644391  30  .19417475 1 1 0 1    .005755572 28
      .022652626  -.11623669   73 4 0  16.64166  6.234411  11 .066797644 0 1 0 1   .0007288266 10
       -.5401287           0    0 1 0         0 1.7917595  22          0 0 1 0 1   .0001734117 31
       .06868839    .9075851    9 3 0 17.721613  5.062595  37  .05732484 0 1 0 1     .02119965 27
      -.22326756    .9552946    3 2 1 12.456236   3.78419  43    .744186 0 1 0 1      .0029437 27
    -.0019016266    .8681054    2 3 0         0  4.394449  23        .25 0 1 0 0   .0014063765 25
      .008501053  -.31473255  -24 4 0         0  5.673323  19   .9068965 1 3 0 1     .20628814 33
        .4296713     .464838    0 2 0         0  2.890372  30   .1764706 0 1 0 1   .0004863654 33
       .17627716   -7.434703  -53 3 0         0 4.1271343  13  .06557377 0 1 0 1   .0015428582 14
       1.0340643   -1.513542    7 1 0         0 2.3025851   5  .11111111 0 1 0 0 .000011357856 10
      -.10409737  -.05284691  -16 3 0 17.327057   4.75359  21   .4347826 0 3 0 1    .016138596 22
        .1163559   -.8664169   77 4 0  15.62732  7.109062 109  .14729951 0 2 1 1    .009371053 10
        2.399113    6.416732    0 2 0         0 2.6390574  10  .23076923 0 1 0 1 .000021944765 25
       2.0331945           0    1 2 0         0  2.564949   4   .3333333 1 1 0 1  .00016544062 71
      -.14650536  .003691673   66 4 0 18.384626  7.255591  49  .11095406 1 2 0 0     .00568074 10
      -.02972698  -.08861637    6 2 0         0   3.78419  24  .04651163 0 1 0 1   .0018428043 25
       .26714134    .2840023    4 3 0 14.290452  3.970292  25  .13461539 1 1 0 0    .007423409 11
        .2038088    7.400843   -1 2 0         0  2.564949  11  .08333334 0 1 0 1   .0005515471 14
        .2023802    .6268883   -4 3 0 15.758952  5.181784  26  .27118644 0 1 0 1    .011997193 32
      -.04707336   -1.752819    7 1 0         0 1.7917595   5          1 1 3 0 1   .0016874084 33
       -.8939953   -8.242458    0 2 0         0  2.772589  32  .06666667 0 1 0 1   .0005713536 15
    end
    label values size_2015 size_2015
    label def size_2015 1 "Microempresa = 1", modify
    label def size_2015 2 "Pequeña empresa = 1", modify
    label def size_2015 3 "Mediana empresa = 1", modify
    label def size_2015 4 "Empresa grande = 1", modify
    label values cite cite
    label def cite 0 "No cliente CITE", modify
    label def cite 1 "Cliente CITE", modify
    label values Qkextrj15 Qkextrj15
    label def Qkextrj15 1 "Capital extranjero 2015 [0%] = 1", modify
    label def Qkextrj15 2 "Capital extranjero 2015 <0; 50%] = 1", modify
    label def Qkextrj15 3 "Capital extranjero 2015 <50% a más> = 1", modify
    label values div div
    label def div 10 "Elaboración de productos alimenticios", modify
    label def div 11 "Elaboración de bebidas", modify
    label def div 14 "Fabricación de prendas de vestir", modify
    label def div 15 "Fabricación de productos de cuero y productos conexos", modify
    label def div 16 "Producción de madera y fabricación de productos de madera y corcho", modify
    label def div 20 "Fabricación de sustancias y productos químicos", modify
    label def div 22 "Fabricación de productos de caucho y de plástico", modify
    label def div 23 "Fabricación de otros productos minerales no metálicos", modify
    label def div 24 "Fabricación de metales comunes", modify
    label def div 25 "Fabricación de productos de metal, excepto maquinaria y equipo", modify
    label def div 27 "Fabricación de equipo eléctrico", modify
    label def div 28 "Fabricación de maquinaria y equipo n.c.p.", modify
    label def div 31 "Fabricación de muebles", modify
    label def div 32 "Otras industrias manufactureras", modify
    label def div 33 "Reparación e instalación de maquinaria y equipo", modify
    label def div 71 "Arquitectura e ingeniería; ensayos y análisis técnicos", modify
    label var lnDprod "Log. Cambio productividad" 
    label var lnDkfijo "Log. Cambio K/L" 
    label var lnDL "Log. Cambio en trabajadores" 
    label var size_2015 "Estrato tamaño 2015" 
    label var cite "Cliente CITE" 
    label var lnexport15 "Log. valor exportado 2015" 
    label var lnL15 "Log. Total de empleados 2015" 
    label var age "Años de experiencia" 
    label var skill_15 "% Personal calificado 2015" 
    label var grupo15 "Pertenece a grupo económico 2015" 
    label var Qkextrj15 "Capital extranjero 2015" 
    label var Acc_pub "Accedió a programa de apoyo público" 
    label var provcite "CITE en provincia 2015" 
    label var cuota "Market share 2015" 
    label var div "Grupo CIIU"

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