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  • Heckman and Oaxaca-Blinder Decomposition

    Hello, I have a problem with Heckman and Oaxaca-Blinder Decomposition estimation results. The results show like this:
    The estimation results with the dependent variable in the form of lwage_m1 when estimated using Heckman are different from the results in models 1 and 2 Oaxaca-Blinder Decomposition. Is there an error in my command?
    Code:
    heckman lwage_m1 fisik penglihatan pendengaran bicara f_kognitif a_limitation experience experience_sq fe
    > male married yeduc agriculture mining manufactur utility construction wholesaledist transport finance_est
    > ate social other_sector urban if disabilitas, select (worker=fisik penglihatan pendengaran bicara f_kogni
    > tif a_limitation usia usia_sq female married child0_5 child6_11 child12_15 child16 krt yeduc urban) twost
    > ep mills(imr)
    note: other_sector omitted because of collinearity
    note: two-step estimate of rho = -1.1400767 is being truncated to -1
    
    Heckman selection model -- two-step estimates   Number of obs     =      4,191
    (regression model with sample selection)              Selected    =      3,059
                                                          Nonselected =      1,132
    
                                                    Wald chi2(21)     =     469.76
                                                    Prob > chi2       =     0.0000
    
    --------------------------------------------------------------------------------
                   |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
    ---------------+----------------------------------------------------------------
    lwage_m1       |
             fisik |  -.0709475    .183754    -0.39   0.699    -.4310988    .2892038
       penglihatan |   .0102264   .0965127     0.11   0.916    -.1789351    .1993878
       pendengaran |   .0087744    .174112     0.05   0.960    -.3324789    .3500277
            bicara |  -.4332943   .7183682    -0.60   0.546     -1.84127    .9746816
        f_kognitif |  -.1327453   .2231136    -0.59   0.552    -.5700399    .3045493
      a_limitation |  -.1145396   .0981236    -1.17   0.243    -.3068583    .0777792
        experience |   .0187261   .0060162     3.11   0.002     .0069346    .0305176
     experience_sq |  -.0001665   .0001275    -1.31   0.191    -.0004164    .0000833
            female |   .0116411    .118091     0.10   0.921     -.219813    .2430951
           married |   .1968843   .0591124     3.33   0.001      .081026    .3127425
             yeduc |    .115655   .0097429    11.87   0.000     .0965594    .1347507
       agriculture |   .1647345   .1580484     1.04   0.297    -.1450347    .4745037
            mining |   .8760347   .1961874     4.47   0.000     .4915146    1.260555
        manufactur |   .3783642   .1483428     2.55   0.011     .0876175    .6691108
           utility |   .5326349   .2432612     2.19   0.029     .0558516    1.009418
      construction |   .2605718   .1568187     1.66   0.097    -.0467871    .5679308
     wholesaledist |   .1399287   .1501668     0.93   0.351    -.1543929    .4342503
         transport |    .337808   .1781995     1.90   0.058    -.0114565    .6870726
    finance_estate |   .4334911   .1607441     2.70   0.007     .1184384    .7485438
            social |   .1410285    .148216     0.95   0.341    -.1494696    .4315265
      other_sector |          0  (omitted)
             urban |  -.0711167   .0854393    -0.83   0.405    -.2385747    .0963413
             _cons |   13.03054   .2319722    56.17   0.000     12.57588    13.48519
    ---------------+----------------------------------------------------------------
    worker         |
             fisik |  -.0856003   .1802218    -0.47   0.635    -.4388285    .2676279
       penglihatan |   .2284432   .0797646     2.86   0.004     .0721074    .3847789
       pendengaran |  -.0043464   .1638559    -0.03   0.979     -.325498    .3168053
            bicara |  -.0857546   .6714793    -0.13   0.898     -1.40183    1.230321
        f_kognitif |  -.0471478   .2137479    -0.22   0.825    -.4660859    .3717903
      a_limitation |  -.0298112   .0959062    -0.31   0.756    -.2177838    .1581614
              usia |    .003353   .0135044     0.25   0.804    -.0231151     .029821
           usia_sq |  -.0002207   .0001723    -1.28   0.200    -.0005585    .0001171
            female |  -.3987747   .0530698    -7.51   0.000    -.5027896   -.2947598
           married |  -.0488746   .0584769    -0.84   0.403    -.1634872     .065738
          child0_5 |  -.2976949   .1213138    -2.45   0.014    -.5354656   -.0599243
         child6_11 |  -.0397457   .0842714    -0.47   0.637    -.2049145    .1254232
        child12_15 |   .0271235    .077008     0.35   0.725    -.1238094    .1780564
           child16 |   .0137207   .0159459     0.86   0.390    -.0175327    .0449741
               krt |   .1942657   .0596117     3.26   0.001      .077429    .3111025
             yeduc |  -.0216708   .0052353    -4.14   0.000    -.0319318   -.0114097
             urban |   .3115429   .0453901     6.86   0.000     .2225801    .4005058
             _cons |   .9344762   .2558274     3.65   0.000     .4330637    1.435889
    ---------------+----------------------------------------------------------------
    /mills         |
            lambda |  -1.356478   .4597646    -2.95   0.003      -2.2576   -.4553561
    ---------------+----------------------------------------------------------------
               rho |   -1.00000
             sigma |  1.3564783
    --------------------------------------------------------------------------------
    
    . heckman lwage_m1 fisik penglihatan pendengaran bicara f_kognitif a_limitation experience experience_sq fe
    > male married yeduc agriculture mining manufactur utility construction wholesaledist transport finance_est
    > ate social other_sector  urban if !disabilitas, select (worker=fisik penglihatan pendengaran bicara f_kog
    > nitif a_limitation usia usia_sq female married child0_5 child6_11 child12_15 child16 krt yeduc urban) two
    > step mills(imr2)
    note: a_limitation omitted because of collinearity
    note: a_limitation omitted because of collinearity
    note: two-step estimate of rho = -1.0661233 is being truncated to -1
    
    Heckman selection model -- two-step estimates   Number of obs     =      7,154
    (regression model with sample selection)              Selected    =      5,610
                                                          Nonselected =      1,544
    
                                                    Wald chi2(21)     =    1148.87
                                                    Prob > chi2       =     0.0000
    
    --------------------------------------------------------------------------------
                   |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
    ---------------+----------------------------------------------------------------
    lwage_m1       |
             fisik |   .2043803   .2349763     0.87   0.384    -.2561647    .6649254
       penglihatan |   .1501891    .094004     1.60   0.110    -.0340554    .3344336
       pendengaran |  -.1383368   .2221536    -0.62   0.533    -.5737499    .2970762
            bicara |  -1.730334   .7319178    -2.36   0.018    -3.164867   -.2958017
        f_kognitif |  -.0351052   .2977845    -0.12   0.906     -.618752    .5485417
      a_limitation |          0  (omitted)
        experience |   .0248329   .0037229     6.67   0.000     .0175361    .0321297
     experience_sq |  -.0002508    .000088    -2.85   0.004    -.0004234   -.0000783
            female |  -.1021482   .0733697    -1.39   0.164    -.2459501    .0416537
           married |   .0202509   .0357313     0.57   0.571    -.0497811    .0902829
             yeduc |   .1079316   .0054201    19.91   0.000     .0973084    .1185547
       agriculture |  -.7839405   .7324081    -1.07   0.284    -2.219434    .6515531
            mining |  -.2878995   .7350153    -0.39   0.695    -1.728503    1.152704
        manufactur |  -.4480672   .7316054    -0.61   0.540    -1.881987     .985853
           utility |   -.359073   .7393268    -0.49   0.627    -1.808127    1.089981
      construction |  -.6365927   .7324041    -0.87   0.385    -2.072078     .798893
     wholesaledist |  -.6703694   .7316526    -0.92   0.360    -2.104382    .7636434
         transport |  -.5358852   .7341915    -0.73   0.465    -1.974874    .9031036
    finance_estate |  -.4486742   .7321423    -0.61   0.540    -1.883647    .9862982
            social |  -.7055753   .7313825    -0.96   0.335    -2.139059     .727908
      other_sector |  -.8189949   .7371812    -1.11   0.267    -2.263844    .6258537
             urban |  -.0281888   .0706385    -0.40   0.690    -.1666377      .11026
             _cons |   13.79617   .7392255    18.66   0.000     12.34732    15.24503
    ---------------+----------------------------------------------------------------
    worker         |
             fisik |  -.1964087   .2876901    -0.68   0.495     -.760271    .3674536
       penglihatan |   .2386369   .1237973     1.93   0.054    -.0040014    .4812752
       pendengaran |  -.0043805   .3129323    -0.01   0.989    -.6177166    .6089556
            bicara |   5.250344          .        .       .            .           .
        f_kognitif |  -.2160377   .3739776    -0.58   0.563    -.9490202    .5169449
      a_limitation |          0  (omitted)
              usia |   .0204772   .0118705     1.73   0.085    -.0027885     .043743
           usia_sq |  -.0004662   .0001505    -3.10   0.002    -.0007611   -.0001713
            female |  -.4103317   .0445936    -9.20   0.000    -.4977336   -.3229298
           married |  -.0041311   .0493098    -0.08   0.933    -.1007765    .0925143
          child0_5 |  -.0674846   .1093389    -0.62   0.537    -.2817848    .1468156
         child6_11 |  -.1042615    .070628    -1.48   0.140    -.2426899    .0341668
        child12_15 |   .0071854   .0732882     0.10   0.922    -.1364569    .1508277
           child16 |  -.0106009   .0139816    -0.76   0.448    -.0380043    .0168025
               krt |   .1492719   .0471299     3.17   0.002      .056899    .2416448
             yeduc |  -.0169419   .0040656    -4.17   0.000    -.0249103   -.0089736
             urban |   .4672862   .0366885    12.74   0.000     .3953781    .5391943
             _cons |   .6601781   .2101335     3.14   0.002      .248324    1.072032
    ---------------+----------------------------------------------------------------
    /mills         |
            lambda |  -1.024995   .3143027    -3.26   0.001    -1.641017   -.4089728
    ---------------+----------------------------------------------------------------
               rho |   -1.00000
             sigma |  1.0249949
    --------------------------------------------------------------------------------
    
    . replace imr = imr2 if !disabilitas
    (7,154 real changes made)
    
    . oaxaca lwage_m1 fisik penglihatan pendengaran bicara f_kognitif a_limitation experience experience_sq fem
    > ale married yeduc agriculture mining manufactur utility construction wholesaledist transport finance_esta
    > te social other_sector urban imr, by(disabilitas) adjust(imr) noisily relax
    
    Model for group 1
    
          Source |       SS           df       MS      Number of obs   =     7,154
    -------------+----------------------------------   F(22, 7131)     =    129.61
           Model |  2030.70345        22  92.3047023   Prob > F        =    0.0000
        Residual |  5078.60005     7,131  .712186237   R-squared       =    0.2856
    -------------+----------------------------------   Adj R-squared   =    0.2834
           Total |   7109.3035     7,153  .993891165   Root MSE        =    .84391
    
    --------------------------------------------------------------------------------
          lwage_m1 |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
    ---------------+----------------------------------------------------------------
             fisik |   .1102275   .1816719     0.61   0.544    -.2459033    .4663583
       penglihatan |   .2555275   .0745999     3.43   0.001     .1092896    .4017654
       pendengaran |  -.1373744    .176726    -0.78   0.437    -.4838099     .209061
            bicara |  -1.523368   .6026305    -2.53   0.011    -2.704703   -.3420338
        f_kognitif |  -.0705785   .2277831    -0.31   0.757    -.5171008    .3759439
      a_limitation |          0  (omitted)
        experience |   .0340476   .0030281    11.24   0.000     .0281116    .0399836
     experience_sq |  -.0004006   .0000734    -5.46   0.000    -.0005445   -.0002567
            female |  -.2704931   .0588188    -4.60   0.000    -.3857954   -.1551907
           married |   .0456887   .0281916     1.62   0.105    -.0095753    .1009526
             yeduc |   .1136474    .004408    25.78   0.000     .1050064    .1222884
       agriculture |  -1.048878   .8451472    -1.24   0.215    -2.705618    .6078609
            mining |  -.4095472   .8476365    -0.48   0.629    -2.071166    1.252072
        manufactur |   -.580703   .8446614    -0.69   0.492     -2.23649    1.075084
           utility |  -.4895176   .8511105    -0.58   0.565    -2.157947    1.178911
      construction |  -.7839778   .8453159    -0.93   0.354    -2.441048    .8730922
     wholesaledist |  -.8209406   .8446964    -0.97   0.331    -2.476796     .834915
         transport |  -.7411244   .8466643    -0.88   0.381    -2.400838    .9185888
    finance_estate |   -.620179   .8450956    -0.73   0.463    -2.276817    1.036459
            social |  -1.038749   .8443899    -1.23   0.219    -2.694004    .6165053
      other_sector |   -.958218    .849035    -1.13   0.259    -2.622579    .7061424
             urban |   .0495319   .0570107     0.87   0.385    -.0622259    .1612897
               imr |  -.8434545   .2506984    -3.36   0.001    -1.334898   -.3520112
             _cons |   13.62189   .8489767    16.05   0.000     11.95765    15.28614
    --------------------------------------------------------------------------------
    (model 1 has zero variance coefficients)
    
    Model for group 2
    
          Source |       SS           df       MS      Number of obs   =     4,191
    -------------+----------------------------------   F(22, 4168)     =     78.84
           Model |  1452.99884        22   66.045402   Prob > F        =    0.0000
        Residual |  3491.78834     4,168  .837761118   R-squared       =    0.2938
    -------------+----------------------------------   Adj R-squared   =    0.2901
           Total |  4944.78719     4,190  1.18014014   Root MSE        =    .91529
    
    --------------------------------------------------------------------------------
          lwage_m1 |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
    ---------------+----------------------------------------------------------------
             fisik |  -.2038522   .1176891    -1.73   0.083    -.4345855    .0268811
       penglihatan |   .0717836   .0613202     1.17   0.242    -.0484368     .192004
       pendengaran |  -.1338948   .1096671    -1.22   0.222    -.3489008    .0811112
            bicara |   -.701344   .4615609    -1.52   0.129     -1.60625    .2035616
        f_kognitif |  -.0308184   .1416699    -0.22   0.828    -.3085671    .2469302
      a_limitation |  -.1576363   .0626078    -2.52   0.012    -.2803809   -.0348917
        experience |   .0350608   .0039297     8.92   0.000     .0273565    .0427651
     experience_sq |  -.0004197   .0000851    -4.93   0.000    -.0005865   -.0002528
            female |   -.147916   .0753432    -1.96   0.050    -.2956288   -.0002032
           married |   .1290023   .0377216     3.42   0.001     .0550478    .2029567
             yeduc |   .1247427   .0062497    19.96   0.000     .1124899    .1369954
       agriculture |  -.5851329   .1768263    -3.31   0.001    -.9318068   -.2384591
            mining |   .2080187   .2022441     1.03   0.304    -.1884875    .6045249
        manufactur |  -.1475967    .173529    -0.85   0.395    -.4878061    .1926128
           utility |          0  (omitted)
      construction |  -.2522498   .1780028    -1.42   0.157    -.6012302    .0967305
     wholesaledist |  -.4041729   .1744301    -2.32   0.021    -.7461489   -.0621968
         transport |  -.1742709   .1898261    -0.92   0.359    -.5464314    .1978896
    finance_estate |  -.0919337   .1802492    -0.51   0.610    -.4453183    .2614508
            social |  -.5813041   .1725649    -3.37   0.001    -.9196233   -.2429849
      other_sector |  -.6158203   .2006119    -3.07   0.002    -1.009127    -.222514
             urban |  -.0596762   .0544685    -1.10   0.273    -.1664634     .047111
               imr |  -1.366203   .2915065    -4.69   0.000    -1.937712   -.7946952
             _cons |   13.34408   .2046559    65.20   0.000     12.94285    13.74532
    --------------------------------------------------------------------------------
    (model 2 has zero variance coefficients)
    
    Blinder-Oaxaca decomposition                    Number of obs     =     11,345
                                                      Model           =     linear
    Group 1: disabilitas = 0                          N of obs 1      =       7154
    Group 2: disabilitas = 1                          N of obs 2      =       4191
    
    --------------------------------------------------------------------------------
          lwage_m1 |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
    ---------------+----------------------------------------------------------------
    overall        |
           group_1 |   14.06757   .0117998  1192.19   0.000     14.04444     14.0907
           group_2 |   13.87324   .0168119   825.21   0.000     13.84029     13.9062
        difference |   .1943272   .0205395     9.46   0.000     .1540704    .2345839
    ---------------+----------------------------------------------------------------
    adjusted       |
           group_1 |   14.38083   .0938206   153.28   0.000     14.19694    14.56471
           group_2 |    14.4923   .1331057   108.88   0.000     14.23142    14.75318
        difference |  -.1114756   .1628479    -0.68   0.494    -.4306516    .2077004
        endowments |   .2203864   .0626612     3.52   0.000     .0975726    .3432002
      coefficients |  -.1730132    .166392    -1.04   0.298    -.4991355    .1531092
       interaction |  -.1588488   .0632823    -2.51   0.012    -.2828798   -.0348179
    ---------------+----------------------------------------------------------------
    endowments     |
             fisik |   .0024861   .0014923     1.67   0.096    -.0004388     .005411
       penglihatan |  -.0111082   .0094992    -1.17   0.242    -.0297264    .0075099
       pendengaran |   .0019656   .0016356     1.20   0.229    -.0012401    .0051714
            bicara |   .0004733   .0004777     0.99   0.322    -.0004629    .0014096
        f_kognitif |   .0002559   .0011774     0.22   0.828    -.0020518    .0025635
      a_limitation |   .1387921   .0551292     2.52   0.012     .0307409    .2468433
        experience |   .0155076   .0088034     1.76   0.078    -.0017468     .032762
     experience_sq |   .0062314   .0048671     1.28   0.200    -.0033079    .0157707
            female |   .0224148   .0115026     1.95   0.051      -.00013    .0449595
           married |   .0051894   .0018803     2.76   0.006     .0015041    .0088747
             yeduc |   .0318478   .0106265     3.00   0.003     .0110202    .0526754
       agriculture |  -.0056176   .0039448    -1.42   0.154    -.0133492    .0021141
            mining |   .0004014   .0006605     0.61   0.543    -.0008932    .0016959
        manufactur |   .0013188   .0019237     0.69   0.493    -.0024515    .0050892
           utility |          0  (omitted)
      construction |  -.0013789   .0016507    -0.84   0.404    -.0046142    .0018564
     wholesaledist |    .002052   .0029862     0.69   0.492    -.0038008    .0079048
         transport |   .0003199   .0006566     0.49   0.626    -.0009671    .0016068
    finance_estate |  -.0016074   .0031822    -0.51   0.613    -.0078444    .0046296
            social |   .0087568   .0058975     1.48   0.138    -.0028021    .0203158
      other_sector |   .0034453   .0018694     1.84   0.065    -.0002186    .0071092
             urban |  -.0013599   .0013529    -1.01   0.315    -.0040116    .0012918
    ---------------+----------------------------------------------------------------
    coefficients   |
             fisik |   .0047963   .0033587     1.43   0.153    -.0017866    .0113791
       penglihatan |   .0323119   .0170161     1.90   0.058     -.001039    .0656628
       pendengaran |  -.0000623   .0037221    -0.02   0.987    -.0073574    .0072328
            bicara |  -.0007846   .0008238    -0.95   0.341    -.0023992    .0008301
        f_kognitif |  -.0004079   .0027529    -0.15   0.882    -.0058036    .0049877
      a_limitation |   .1387921   .0551292     2.52   0.012     .0307409    .2468433
        experience |  -.0173227   .0848198    -0.20   0.838    -.1835666    .1489211
     experience_sq |   .0088413    .052101     0.17   0.865    -.0932749    .1109575
            female |  -.0568868   .0443695    -1.28   0.200    -.1438493    .0300758
           married |  -.0597568    .033782    -1.77   0.077    -.1259683    .0064547
             yeduc |  -.1136132   .0783157    -1.45   0.147    -.2671091    .0398826
       agriculture |  -.0493511   .0919133    -0.54   0.591    -.2294979    .1307957
            mining |  -.0104622   .0148142    -0.71   0.480    -.0394975    .0185731
        manufactur |  -.0860839   .1714114    -0.50   0.616     -.422044    .2498762
           utility |  -.0033873   .0059226    -0.57   0.567    -.0149954    .0082208
      construction |  -.0416146   .0676438    -0.62   0.538    -.1741939    .0909647
     wholesaledist |  -.0657322   .1360557    -0.48   0.629    -.3323964    .2009321
         transport |  -.0160953   .0246801    -0.65   0.514    -.0644674    .0322767
    finance_estate |  -.0310065   .0507568    -0.61   0.541     -.130488    .0684749
            social |  -.1509537   .2844213    -0.53   0.596    -.7084093    .4065019
      other_sector |  -.0061274    .015628    -0.39   0.695    -.0367577     .024503
             urban |   .0740822   .0534931     1.38   0.166    -.0307624    .1789267
             _cons |   .2778114   .8732958     0.32   0.750    -1.433817     1.98944
    ---------------+----------------------------------------------------------------
    interaction    |
             fisik |  -.0038304   .0027139    -1.41   0.158    -.0091495    .0014888
       penglihatan |  -.0284336   .0149857    -1.90   0.058    -.0578051    .0009379
       pendengaran |   .0000511   .0030534     0.02   0.987    -.0059334    .0060356
            bicara |   .0005548   .0006653     0.83   0.404    -.0007492    .0018587
        f_kognitif |   .0003301   .0022282     0.15   0.882    -.0040371    .0046974
      a_limitation |  -.1387921   .0551292    -2.52   0.012    -.2468433   -.0307409
        experience |  -.0004481   .0022084    -0.20   0.839    -.0047766    .0038803
     experience_sq |  -.0002832   .0016825    -0.17   0.866    -.0035809    .0030145
            female |    .018575   .0145308     1.28   0.201    -.0099048    .0470548
           married |  -.0033515   .0020256    -1.65   0.098    -.0073215    .0006186
             yeduc |  -.0028327   .0021646    -1.31   0.191    -.0070753    .0014099
       agriculture |  -.0044522   .0087567    -0.51   0.611    -.0216151    .0127107
            mining |  -.0011916   .0023087    -0.52   0.606    -.0057166    .0033334
        manufactur |     .00387   .0083982     0.46   0.645    -.0125902    .0203301
           utility |  -.0009236   .0018066    -0.51   0.609    -.0044645    .0026174
      construction |  -.0029067   .0054954    -0.53   0.597    -.0136774    .0078641
     wholesaledist |   .0021159   .0052748     0.40   0.688    -.0082225    .0124544
         transport |   .0010405   .0024112     0.43   0.666    -.0036853    .0057664
    finance_estate |  -.0092358   .0153191    -0.60   0.547    -.0392607    .0207891
            social |    .006891   .0136349     0.51   0.613    -.0198328    .0336149
      other_sector |   .0019156   .0049511     0.39   0.699    -.0077885    .0116197
             urban |   .0024886   .0020491     1.21   0.225    -.0015276    .0065048
    --------------------------------------------------------------------------------
    (adjusted by imr)
    Thank you in advance!
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