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  • eprobit with binary outcome (probit) + one binary and one continuous endogenous regressor

    Dear Statalist,

    I’m estimating an endogenous response model where the outcome is binary (probit). I have two endogenous regressors:
    1. a binary treatment (csopresence1) with a probit first stage, and
    2. a continuous score (CSOXWorkforceScore) with a linear first stage.
    my quesion

    does eprobit designed for this: a probit outcome with multiple endogenous regressors, mixing a binary endogenous variable and a continuous one?

    Also how we can present F statistics



    HTML Code:
    . asdoc eprobit (hard_final_Exact_new   workforce2_w Firm_Size_w   ROA_w     Leverage_w   Market_book_four_w   Non_pension_CFO_w   STD_CFO_w  board_size_w  female_percentage
    > _w   independent_percentage_w SUSTAIBILITY_COMTEE_FU   community2_w productresponsibility2_w humanrights2_w environment2_w Fund_Status_w  FUNDING_RATIO_w  Platn_Size_w i.y
    > ear i.ff_12) ,endogenous(csopresence1 =  workforce2_w Firm_Size_w   ROA_w     Leverage_w   Market_book_four_w   Non_pension_CFO_w   STD_CFO_w  board_size_w  female_percent
    > age_w   independent_percentage_w SUSTAIBILITY_COMTEE_FU   community2_w productresponsibility2_w humanrights2_w environment2_w Fund_Status_w  FUNDING_RATIO_w  Platn_Size_w
    > CSO_Percentage i.year i.ff_12) endogenous(CSOXWorkforceScore =  workforce2_w Firm_Size_w   ROA_w     Leverage_w   Market_book_four_w   Non_pension_CFO_w   STD_CFO_w  board
    > _size_w  female_percentage_w   independent_percentage_w SUSTAIBILITY_COMTEE_FU   community2_w productresponsibility2_w humanrights2_w environment2_w Fund_Status_w  FUNDING
    > _RATIO_w  Platn_Size_w secondIV i.year i.ff_12)
    (File Myfile.doc already exists, option append was assumed)
    
    Iteration 0:  Log likelihood = -13694.844  
    Iteration 1:  Log likelihood = -13602.794  
    Iteration 2:  Log likelihood = -13594.197  (not concave)
    Iteration 3:  Log likelihood = -13594.187  
    Iteration 4:  Log likelihood =  -13594.04  
    Iteration 5:  Log likelihood = -13594.032  
    Iteration 6:  Log likelihood = -13594.032  
    
    Extended probit regression                              Number of obs =  3,272
                                                            Wald chi2(47) = 450.24
    Log likelihood = -13594.032                             Prob > chi2   = 0.0000
    
    -------------------------------------------------------------------------------------------------------------------
                                                      | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    --------------------------------------------------+----------------------------------------------------------------
    hard_final_Exact_new                              |
                                         workforce2_w |   .0002901   .0034584     0.08   0.933    -.0064882    .0070683
                                          Firm_Size_w |  -.0871121   .0802439    -1.09   0.278    -.2443872     .070163
                                                ROA_w |   1.186399   1.155537     1.03   0.305    -1.078412    3.451211
                                           Leverage_w |  -.9224273   .4036034    -2.29   0.022    -1.713475   -.1313793
                                   Market_book_four_w |  -.0045042   .0060282    -0.75   0.455    -.0163194    .0073109
                                    Non_pension_CFO_w |   -2.81969   1.644034    -1.72   0.086    -6.041936    .4025571
                                            STD_CFO_w |  -3.310033    2.46476    -1.34   0.179    -8.140875    1.520809
                                         board_size_w |  -.0234905   .0205934    -1.14   0.254    -.0638527    .0168718
                                  female_percentage_w |   -.097886   .4972582    -0.20   0.844    -1.072494    .8767223
                             independent_percentage_w |   .0638219   .5628318     0.11   0.910    -1.039308    1.166952
                               SUSTAIBILITY_COMTEE_FU |  -.1102331   .0989353    -1.11   0.265    -.3041428    .0836766
                                         community2_w |  -.0007338   .0027296    -0.27   0.788    -.0060837     .004616
                             productresponsibility2_w |   .0029923   .0016794     1.78   0.075    -.0002992    .0062839
                                       humanrights2_w |   .0006178   .0017632     0.35   0.726    -.0028379    .0040735
                                       environment2_w |   .0000277   .0033596     0.01   0.993     -.006557    .0066124
                                        Fund_Status_w |  -4.393861   1.647466    -2.67   0.008    -7.622835   -1.164887
                                      FUNDING_RATIO_w |  -.1397964   .3305968    -0.42   0.672    -.7877542    .5081614
                                         Platn_Size_w |  -.0990358   .0556972    -1.78   0.075    -.2082003    .0101287
                                                      |
                                                 year |
                                                2007  |  -.2245667   .3539824    -0.63   0.526    -.9183595    .4692261
                                                2008  |   .0369732   .2800052     0.13   0.895    -.5118268    .5857733
                                                2009  |   .1055018   .2810881     0.38   0.707    -.4454207    .6564243
                                                2010  |   .0040336   .2811129     0.01   0.989    -.5469376    .5550048
                                                2011  |  -.2604922   .2976809    -0.88   0.382    -.8439359    .3229516
                                                2012  |  -.2275394   .2868657    -0.79   0.428    -.7897859    .3347071
                                                2013  |  -.2378892   .2921958    -0.81   0.416    -.8105826    .3348041
                                                2014  |  -.4236912   .3080009    -1.38   0.169    -1.027362    .1799795
                                                2015  |  -.3478404   .2930502    -1.19   0.235    -.9222082    .2265274
                                                2016  |   -.467874   .2965471    -1.58   0.115    -1.049096    .1133477
                                                2017  |  -.5381708   .3056125    -1.76   0.078     -1.13716    .0608188
                                                2018  |  -.3364001    .305985    -1.10   0.272    -.9361197    .2633194
                                                2019  |  -.5309127   .3062922    -1.73   0.083    -1.131234    .0694089
                                                2020  |  -.3178195   .3190081    -1.00   0.319    -.9430638    .3074248
                                                2021  |  -.5942055   .3230958    -1.84   0.066    -1.227462    .0390506
                                                2022  |  -1.099338   .3744762    -2.94   0.003    -1.833298   -.3653783
                                                      |
                                                ff_12 |
                                                   2  |   .3460233   .2677015     1.29   0.196     -.178662    .8707085
                                                   3  |   .4222693   .1993813     2.12   0.034     .0314891    .8130495
                                                   4  |   .4130044   .3041464     1.36   0.174    -.1831117     1.00912
                                                   5  |   .0905656   .2450341     0.37   0.712    -.3896924    .5708236
                                                   6  |   .2757304   .2053907     1.34   0.179     -.126828    .6782889
                                                   7  |   .3956315   .3238588     1.22   0.222    -.2391202    1.030383
                                                   8  |   .4343578   .2399267     1.81   0.070    -.0358898    .9046054
                                                   9  |   .6794512   .2101088     3.23   0.001     .2676455    1.091257
                                                  10  |   .3739372    .182965     2.04   0.041     .0153325     .732542
                                                  11  |   .7175276    .194639     3.69   0.000     .3360422    1.099013
                                                  12  |   .3030569   .2638585     1.15   0.251    -.2140963      .82021
                                                      |
                                         csopresence1 |   3.675509   .6759898     5.44   0.000     2.350594    5.000425
                                   CSOXWorkforceScore |  -.0211406   .0114654    -1.84   0.065    -.0436124    .0013312
                                                _cons |   .1633728   .8238326     0.20   0.843    -1.451309    1.778055
    --------------------------------------------------+----------------------------------------------------------------
    csopresence1                                      |
                                         workforce2_w |   .0013344   .0004204     3.17   0.002     .0005105    .0021583
                                          Firm_Size_w |  -.0260055   .0115703    -2.25   0.025    -.0486828   -.0033282
                                                ROA_w |  -.0769989   .1960413    -0.39   0.694    -.4612328    .3072351
                                           Leverage_w |   .1163007   .0633825     1.83   0.067    -.0079268    .2405281
                                   Market_book_four_w |   .0008914   .0010484     0.85   0.395    -.0011634    .0029461
                                    Non_pension_CFO_w |  -.0953092   .2443781    -0.39   0.697    -.5742815     .383663
                                            STD_CFO_w |   1.821936   .4384616     4.16   0.000     .9625669    2.681305
                                         board_size_w |   .0123685   .0038642     3.20   0.001     .0047948    .0199423
                                  female_percentage_w |   .2067438   .0877581     2.36   0.018      .034741    .3787465
                             independent_percentage_w |   .1755001    .094555     1.86   0.063    -.0098242    .3608245
                               SUSTAIBILITY_COMTEE_FU |   .0727186   .0172796     4.21   0.000     .0388511     .106586
                                         community2_w |    .000384   .0004811     0.80   0.425     -.000559     .001327
                             productresponsibility2_w |  -.0007783   .0002975    -2.62   0.009    -.0013615   -.0001952
                                       humanrights2_w |   .0007409   .0002921     2.54   0.011     .0001684    .0013134
                                       environment2_w |    .002172    .000454     4.78   0.000     .0012822    .0030618
                                        Fund_Status_w |   .6965192   .3214644     2.17   0.030     .0664605    1.326578
                                      FUNDING_RATIO_w |   .0106136   .0575547     0.18   0.854    -.1021916    .1234187
                                         Platn_Size_w |   .0531983   .0090816     5.86   0.000     .0353987     .070998
                                       CSO_Percentage |   .7005938   .0462996    15.13   0.000     .6098482    .7913394
                                                      |
                                                 year |
                                                2007  |  -.0212414   .0437606    -0.49   0.627    -.1070106    .0645277
                                                2008  |   .0033032   .0441105     0.07   0.940    -.0831518    .0897581
                                                2009  |  -.0151635   .0442708    -0.34   0.732    -.1019328    .0716057
                                                2010  |  -.0230727   .0448108    -0.51   0.607    -.1109002    .0647548
                                                2011  |   -.008098   .0452784    -0.18   0.858    -.0968421     .080646
                                                2012  |   .0118927   .0457842     0.26   0.795    -.0778426    .1016281
                                                2013  |   .0088205   .0457774     0.19   0.847    -.0809016    .0985427
                                                2014  |   .0018422   .0463168     0.04   0.968    -.0889371    .0926215
                                                2015  |  -.0338151   .0474963    -0.71   0.476    -.1269062    .0592759
                                                2016  |  -.0119155   .0480403    -0.25   0.804    -.1060727    .0822417
                                                2017  |  -.0377965   .0490035    -0.77   0.441    -.1338416    .0582485
                                                2018  |  -.0484353   .0504334    -0.96   0.337     -.147283    .0504123
                                                2019  |  -.0784114   .0521327    -1.50   0.133    -.1805895    .0237668
                                                2020  |  -.0987289   .0543481    -1.82   0.069    -.2052493    .0077915
                                                2021  |  -.1296869   .0555521    -2.33   0.020     -.238567   -.0208067
                                                2022  |  -.0538494   .0584787    -0.92   0.357    -.1684656    .0607667
                                                      |
                                                ff_12 |
                                                   2  |  -.1000944    .055811    -1.79   0.073    -.2094819    .0092931
                                                   3  |  -.0927815   .0333742    -2.78   0.005    -.1581938   -.0273692
                                                   4  |  -.0951221   .0450569    -2.11   0.035    -.1834321   -.0068121
                                                   5  |  -.1152299   .0363664    -3.17   0.002    -.1865067   -.0439531
                                                   6  |   .0052024   .0362269     0.14   0.886    -.0658011    .0762058
                                                   7  |   .1104178    .062348     1.77   0.077     -.011782    .2326175
                                                   8  |  -.1176349   .0348539    -3.38   0.001    -.1859473   -.0493225
                                                   9  |  -.0075532   .0472383    -0.16   0.873    -.1001385    .0850322
                                                  10  |   .0337835   .0372079     0.91   0.364    -.0391427    .1067098
                                                  11  |   -.033197   .0401182    -0.83   0.408    -.1118272    .0454331
                                                  12  |  -.0646758   .0357877    -1.81   0.071    -.1348184    .0054669
                                                      |
                                                _cons |  -.5575747   .1280951    -4.35   0.000    -.8086364   -.3065129
    --------------------------------------------------+----------------------------------------------------------------
    CSOXWorkforceScore                                |
                                         workforce2_w |   .1050009   .0324205     3.24   0.001      .041458    .1685438
                                          Firm_Size_w |  -1.619952    .860964    -1.88   0.060    -3.307411    .0675062
                                                ROA_w |  -12.49691   14.58623    -0.86   0.392     -41.0854    16.09158
                                           Leverage_w |   9.298805   4.719928     1.97   0.049     .0479155    18.54969
                                   Market_book_four_w |  -.0186041   .0780136    -0.24   0.812    -.1715079    .1342997
                                    Non_pension_CFO_w |   11.83764   18.18338     0.65   0.515    -23.80113    47.47641
                                            STD_CFO_w |   124.9824   32.62324     3.83   0.000     61.04198    188.9227
                                         board_size_w |   .9668582   .2875248     3.36   0.001       .40332    1.530396
                                  female_percentage_w |    23.1026   6.529241     3.54   0.000     10.30552    35.89968
                             independent_percentage_w |   7.709896   7.036731     1.10   0.273    -6.081844    21.50164
                               SUSTAIBILITY_COMTEE_FU |   5.041583   1.285751     3.92   0.000     2.521557    7.561609
                                         community2_w |   .0857372   .0358021     2.39   0.017     .0155665     .155908
                             productresponsibility2_w |   -.065649   .0221388    -2.97   0.003    -.1090403   -.0222576
                                       humanrights2_w |    .056471   .0217352     2.60   0.009     .0138707    .0990713
                                       environment2_w |   .1489021   .0337877     4.41   0.000     .0826793    .2151248
                                        Fund_Status_w |   45.09184   23.91597     1.89   0.059    -1.782599    91.96628
                                      FUNDING_RATIO_w |   2.616812   4.282862     0.61   0.541    -5.777444    11.01107
                                         Platn_Size_w |   3.618175   .6757844     5.35   0.000     2.293662    4.942688
                                             secondIV |   .8109468   .0342866    23.65   0.000     .7437463    .8781472
                                                      |
                                                 year |
                                                2007  |   -1.44348   3.254357    -0.44   0.657    -7.821902    4.934942
                                                2008  |   .8065856   3.274252     0.25   0.805     -5.61083    7.224001
                                                2009  |    -.95348   3.284124    -0.29   0.772    -7.390245    5.483285
                                                2010  |   -1.34497   3.320645    -0.41   0.685    -7.853313    5.163374
                                                2011  |  -.2476967   3.350255    -0.07   0.941    -6.814076    6.318683
                                                2012  |   .7847107     3.3837     0.23   0.817    -5.847219     7.41664
                                                2013  |  -.0955823   3.373479    -0.03   0.977     -6.70748    6.516315
                                                2014  |  -.1133956   3.405503    -0.03   0.973     -6.78806    6.561269
                                                2015  |   -3.72826   3.453126    -1.08   0.280    -10.49626    3.039742
                                                2016  |  -1.595088   3.474919    -0.46   0.646    -8.405805    5.215629
                                                2017  |  -3.652523   3.524364    -1.04   0.300    -10.56015    3.255104
                                                2018  |  -5.622037   3.597329    -1.56   0.118    -12.67267    1.428598
                                                2019  |  -7.565524   3.699398    -2.05   0.041    -14.81621   -.3148369
                                                2020  |   -9.57068   3.836032    -2.49   0.013    -17.08917   -2.052196
                                                2021  |  -11.98487   3.903622    -3.07   0.002    -19.63583   -4.333917
                                                2022  |   -7.95564   4.098634    -1.94   0.052    -15.98881    .0775347
                                                      |
                                                ff_12 |
                                                   2  |  -2.758679     4.1516    -0.66   0.506    -10.89567    5.378308
                                                   3  |  -5.617874   2.454076    -2.29   0.022    -10.42777   -.8079743
                                                   4  |  -8.513258    3.31482    -2.57   0.010    -15.01018   -2.016331
                                                   5  |   -9.78016   2.699942    -3.62   0.000    -15.07195   -4.488371
                                                   6  |   4.025594   2.637835     1.53   0.127    -1.144467    9.195655
                                                   7  |   9.220683   4.620966     2.00   0.046     .1637559    18.27761
                                                   8  |  -8.186068   2.556535    -3.20   0.001    -13.19678   -3.175351
                                                   9  |  -1.796408   3.479473    -0.52   0.606    -8.616049    5.023233
                                                  10  |   4.841352   2.715729     1.78   0.075    -.4813783    10.16408
                                                  11  |  -1.941273   2.944112    -0.66   0.510    -7.711626    3.829081
                                                  12  |  -1.750711   2.610873    -0.67   0.503    -6.867928    3.366505
                                                      |
                                                _cons |  -46.83266   9.509099    -4.93   0.000    -65.47015   -28.19517
    --------------------------------------------------+----------------------------------------------------------------
                                   var(e.csopresence1)|   .1547481   .0038273                      .1474256    .1624343
                             var(e.CSOXWorkforceScore)|   856.7415   21.21086                      816.1615    899.3391
    --------------------------------------------------+----------------------------------------------------------------
           corr(e.csopresence1,e.hard_final_Exact_new)|  -.8000674   .1461942    -5.47   0.000    -.9558047   -.2937171
     corr(e.CSOXWorkforceScore,e.hard_final_Exact_new)|  -.7232348   .1556177    -4.65   0.000    -.9144283   -.2681589
             corr(e.CSOXWorkforceScore,e.csopresence1)|   .9545295   .0015559   613.47   0.000     .9513779    .9574812
    -------------------------------------------------------------------------------------------------------------------
    Click to Open File:  Myfile.doc
    
    .
    . testnl (_b[/corr(e.csopresence1,e.hard_final_Exact_new)] = 0) (_b[/corr(e.CSOXWorkforceScore,e.hard_final_Exact_new)] = 0)
    
      (1)  _b[/corr(e.csopresence1,e.hard_final_Exact_new)] = 0
      (2)  _b[/corr(e.CSOXWorkforceScore,e.hard_final_Exact_new)] = 0
    Last edited by hussein bataineh; 17 Oct 2025, 15:58.
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