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  • interpreting difference in difference with multiple time periods

    Following Callaway and Saint Anna (2021), i have run a difference in diffrence with multiple time periods to evaluate the impact of a policy change on firms product innovation and got the following results. Can someone help me to interpret this results ?

    Code:
    csdid new_product_dummy, [ivar(fact_id)] time(year) gvar(g)
    Panel is not balanced
    Will use observations with Pair balanced (observed at t0 and t1)
    ..................................................
    ..................................................
    ..................................................
    .....................................
    Difference-in-difference with Multiple Time Periods
    
                                                           Number of obs = 476,561
    Outcome model  : weighted least squares
    Treatment model: inverse probability tilting
    ------------------------------------------------------------------------------
                 | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
    g2000        |
     t_1999_2000 |    -.04004   .0822337    -0.49   0.626    -.2012152    .1211351
     t_1999_2001 |  -.0840298   .0692473    -1.21   0.225     -.219752    .0516923
     t_1999_2002 |  -.1105771   .0620575    -1.78   0.075    -.2322076    .0110534
     t_1999_2003 |  -.0779184   .0618752    -1.26   0.208    -.1991917    .0433548
     t_1999_2004 |  -.0374578   .0584397    -0.64   0.522    -.1519975    .0770819
     t_1999_2005 |  -.0566546     .06567    -0.86   0.388    -.1853654    .0720562
     t_1999_2006 |  -.0954044   .0692349    -1.38   0.168    -.2311024    .0402936
     t_1999_2007 |  -.0833194   .0740289    -1.13   0.260    -.2284133    .0617745
     t_1999_2008 |  -.1049795   .0714874    -1.47   0.142    -.2450923    .0351333
     t_1999_2009 |  -.1540709   .0838602    -1.84   0.066    -.3184339    .0102921
     t_1999_2010 |  -.0543094    .088312    -0.61   0.539    -.2273977     .118779
     t_1999_2011 |   .0880474   .0442627     1.99   0.047     .0012942    .1748006
     t_1999_2012 |   .0661285   .0898337     0.74   0.462    -.1099423    .2421992
     t_1999_2013 |   .0575488   .0792853     0.73   0.468    -.0978476    .2129453
     t_1999_2014 |  -.0199452    .066263    -0.30   0.763    -.1498183     .109928
     t_1999_2015 |  -.0789118    .055812    -1.41   0.157    -.1883013    .0304776
     t_1999_2016 |  -.0197438   .0612035    -0.32   0.747    -.1397005    .1002129
    -------------+----------------------------------------------------------------
    g2001        |
     t_1999_2000 |   .0005005   .2042467     0.00   0.998    -.3998157    .4008167
     t_2000_2001 |   .0861318   .1720204     0.50   0.617     -.251022    .4232857
     t_2000_2002 |    .084792   .1837578     0.46   0.644    -.2753668    .4449508
     t_2000_2003 |   -.013533   .2829998    -0.05   0.962    -.5682024    .5411364
     t_2000_2004 |   .2147039   .1720244     1.25   0.212    -.1224577    .5518656
     t_2000_2005 |   .0284495     .18867     0.15   0.880    -.3413369    .3982359
     t_2000_2006 |   .0895082   .2458863     0.36   0.716    -.3924201    .5714364
     t_2000_2007 |   .2618314   .1862146     1.41   0.160    -.1031426    .6268054
     t_2000_2008 |   .1737287   .2017021     0.86   0.389    -.2216002    .5690576
     t_2000_2009 |   -.240671   .2216634    -1.09   0.278    -.6751232    .1937813
     t_2000_2010 |   .0189058   .2229944     0.08   0.932    -.4181552    .4559667
     t_2000_2011 |   -.081441   .1714078    -0.48   0.635    -.4173941    .2545121
     t_2000_2012 |  -.0011672   .2225634    -0.01   0.996    -.4373834     .435049
     t_2000_2013 |  -.0787363   .2217286    -0.36   0.723    -.5133163    .3558437
     t_2000_2014 |   .5756527   .1506119     3.82   0.000     .2804588    .8708467
     t_2000_2015 |  -.1296829   .2028169    -0.64   0.523    -.5271966    .2678308
     t_2000_2016 |  -.2226086   .1660853    -1.34   0.180    -.5481298    .1029127
    -------------+----------------------------------------------------------------
    g2002        |
     t_1999_2000 |   .5005005   .0070746    70.75   0.000     .4866345    .5143665
     t_2000_2001 |   .0861318   .2932825     0.29   0.769    -.4886913     .660955
     t_2001_2002 |  -.0300338   .1756643    -0.17   0.864    -.3743295     .314262
     t_2001_2003 |   .0658015   .1640605     0.40   0.688    -.2557513    .3873543
     t_2001_2004 |   .0303865   .1482332     0.20   0.838    -.2601453    .3209184
     t_2001_2005 |  -.5467495   .1503184    -3.64   0.000    -.8413681   -.2521309
     t_2001_2006 |  -.2582124   .1898998    -1.36   0.174    -.6304091    .1139844
     t_2001_2007 |  -.1518764   .2391012    -0.64   0.525     -.620506    .3167533
     t_2001_2008 |  -.0039296   .2450985    -0.02   0.987    -.4843139    .4764546
     t_2001_2009 |  -.2209041   .2723267    -0.81   0.417    -.7546546    .3128464
     t_2001_2010 |   -.198032   .3665279    -0.54   0.589    -.9164135    .5203496
     t_2001_2011 |   -.112247   .2754258    -0.41   0.684    -.6520716    .4275777
     t_2001_2012 |   .2140907   .3329853     0.64   0.520    -.4385486    .8667299
     t_2001_2013 |   .0745998   .2215658     0.34   0.736    -.3596611    .5088607
     t_2001_2014 |  -.0590467   .2121493    -0.28   0.781    -.4748518    .3567583
     t_2001_2015 |   .1210946   .2224076     0.54   0.586    -.3148162    .5570055
     t_2001_2016 |  -.0012858   .2806902    -0.00   0.996    -.5514284    .5488568
    -------------+----------------------------------------------------------------
    g2003        |
     t_1999_2000 |   .2887358   .0321237     8.99   0.000     .2257744    .3516972
     t_2000_2001 |  -.0950422    .046609    -2.04   0.041    -.1863943   -.0036902
     t_2001_2002 |   .0466018   .0365767     1.27   0.203    -.0250872    .1182907
     t_2002_2003 |  -.0019766   .0346507    -0.06   0.955    -.0698908    .0659376
     t_2002_2004 |   .0447822   .0347264     1.29   0.197    -.0232803    .1128448
     t_2002_2005 |   .0174825   .0399538     0.44   0.662    -.0608256    .0957906
     t_2002_2006 |  -.0001543   .0381314    -0.00   0.997    -.0748904    .0745819
     t_2002_2007 |   .0275713   .0410741     0.67   0.502    -.0529324     .108075
     t_2002_2008 |    .050764   .0414791     1.22   0.221    -.0305336    .1320616
     t_2002_2009 |   .0495834   .0385041     1.29   0.198    -.0258833    .1250501
     t_2002_2010 |   .0432614   .0420813     1.03   0.304    -.0392165    .1257393
     t_2002_2011 |  -.0852732   .0331372    -2.57   0.010    -.1502209   -.0203256
     t_2002_2012 |   .0389449   .0435688     0.89   0.371    -.0464484    .1243382
     t_2002_2013 |  -.0713089   .0442883    -1.61   0.107    -.1581124    .0154946
     t_2002_2014 |  -.1431012   .0447073    -3.20   0.001    -.2307259   -.0554765
     t_2002_2015 |  -.0904734   .0432811    -2.09   0.037    -.1753028   -.0056441
     t_2002_2016 |  -.1286546   .0440794    -2.92   0.004    -.2150487   -.0422606
    -------------+----------------------------------------------------------------
    g2004        |
     t_1999_2000 |   .1961527   .0484908     4.05   0.000     .1011125    .2911929
     t_2000_2001 |   .1563566   .0559521     2.79   0.005     .0466924    .2660207
     t_2001_2002 |   .0277976   .0417005     0.67   0.505    -.0539339     .109529
     t_2002_2003 |  -.0024997   .0406154    -0.06   0.951    -.0821045    .0771051
     t_2003_2004 |    .057977    .037357     1.55   0.121    -.0152414    .1311953
     t_2003_2005 |   .0271362   .0424659     0.64   0.523    -.0560953    .1103678
     t_2003_2006 |   .0086441   .0418792     0.21   0.836    -.0734375    .0907258
     t_2003_2007 |   .0474325   .0444657     1.07   0.286    -.0397187    .1345837
     t_2003_2008 |   -.018647   .0422725    -0.44   0.659    -.1014997    .0642057
     t_2003_2009 |   .0776206   .0434954     1.78   0.074    -.0076288      .16287
     t_2003_2010 |   .0868646   .0490528     1.77   0.077    -.0092771    .1830064
     t_2003_2011 |   .0127738    .036706     0.35   0.728    -.0591687    .0847163
     t_2003_2012 |   .0879102   .0511111     1.72   0.085    -.0122656    .1880861
     t_2003_2013 |   .0511486   .0479599     1.07   0.286     -.042851    .1451483
     t_2003_2014 |  -.0093282   .0516924    -0.18   0.857    -.1106434     .091987
     t_2003_2015 |  -.0791559   .0480956    -1.65   0.100    -.1734216    .0151098
     t_2003_2016 |   -.133065   .0518922    -2.56   0.010    -.2347718   -.0313582
    -------------+----------------------------------------------------------------
    g2005        |
     t_1999_2000 |   .2552898   .0275532     9.27   0.000     .2012865     .309293
     t_2000_2001 |  -.0175852   .0374201    -0.47   0.638    -.0909272    .0557568
     t_2001_2002 |   .0404897   .0274303     1.48   0.140    -.0132727     .094252
     t_2002_2003 |   .0388293   .0260077     1.49   0.135    -.0121448    .0898035
     t_2003_2004 |   .0397182   .0238491     1.67   0.096    -.0070252    .0864616
     t_2004_2005 |   .0474691   .0227472     2.09   0.037     .0028855    .0920527
     t_2004_2006 |   .0404904   .0230618     1.76   0.079    -.0047099    .0856908
     t_2004_2007 |   .0329936   .0248705     1.33   0.185    -.0157518    .0817389
     t_2004_2008 |   .0181019   .0262408     0.69   0.490    -.0333292     .069533
     t_2004_2009 |  -.0806619   .0274829    -2.93   0.003    -.1345274   -.0267964
     t_2004_2010 |  -.0281709   .0278337    -1.01   0.311    -.0827239    .0263821
     t_2004_2011 |  -.0513961   .0211644    -2.43   0.015    -.0928776   -.0099145
     t_2004_2012 |  -.0367624    .028918    -1.27   0.204    -.0934406    .0199158
     t_2004_2013 |  -.0300014    .028863    -1.04   0.299    -.0865717     .026569
     t_2004_2014 |  -.0153142   .0286207    -0.54   0.593    -.0714098    .0407814
     t_2004_2015 |  -.0618914   .0287604    -2.15   0.031    -.1182608    -.005522
     t_2004_2016 |   -.088019   .0283495    -3.10   0.002     -.143583    -.032455
    -------------+----------------------------------------------------------------
    g2006        |
     t_1999_2000 |   .2944919   .0274238    10.74   0.000     .2407423    .3482415
     t_2000_2001 |   .0874139   .0370783     2.36   0.018     .0147418     .160086
     t_2001_2002 |   .0826566   .0280113     2.95   0.003     .0277555    .1375577
     t_2002_2003 |   .0572488   .0263149     2.18   0.030     .0056727     .108825
     t_2003_2004 |   .0564239    .022558     2.50   0.012     .0122111    .1006367
     t_2004_2005 |     .02167   .0224475     0.97   0.334    -.0223263    .0656663
     t_2005_2006 |   .0226188   .0241079     0.94   0.348    -.0246318    .0698695
     t_2005_2007 |   .0017501   .0251344     0.07   0.944    -.0475124    .0510127
     t_2005_2008 |    .034118   .0239192     1.43   0.154    -.0127627    .0809987
     t_2005_2009 |   .1198033   .0232287     5.16   0.000     .0742759    .1653306
     t_2005_2010 |    .036077   .0263185     1.37   0.170    -.0155063    .0876602
     t_2005_2011 |  -.0776774   .0205346    -3.78   0.000    -.1179245   -.0374304
     t_2005_2012 |   .0863201    .026256     3.29   0.001     .0348593     .137781
     t_2005_2013 |  -.0023554   .0274662    -0.09   0.932    -.0561882    .0514774
     t_2005_2014 |  -.0340935   .0279879    -1.22   0.223    -.0889488    .0207618
     t_2005_2015 |  -.1437835   .0276807    -5.19   0.000    -.1980367   -.0895303
     t_2005_2016 |  -.1304382   .0283174    -4.61   0.000    -.1859394    -.074937
    -------------+----------------------------------------------------------------
    g2007        |
     t_1999_2000 |   .1662687   .0254919     6.52   0.000     .1163055    .2162319
     t_2000_2001 |   .1172869   .0297183     3.95   0.000       .05904    .1755337
     t_2001_2002 |  -.0066003   .0234536    -0.28   0.778    -.0525686     .039368
     t_2002_2003 |   .0484251   .0210491     2.30   0.021     .0071697    .0896804
     t_2003_2004 |   .0418351    .018846     2.22   0.026     .0048975    .0787727
     t_2004_2005 |   .0228842   .0193685     1.18   0.237    -.0150774    .0608457
     t_2005_2006 |  -.0267397   .0217186    -1.23   0.218    -.0693073    .0158279
     t_2006_2007 |   .0095738   .0210754     0.45   0.650    -.0317333    .0508809
     t_2006_2008 |  -.0436064    .020974    -2.08   0.038    -.0847147   -.0024982
     t_2006_2009 |   .0204053   .0225944     0.90   0.366     -.023879    .0646896
     t_2006_2010 |   .0371837   .0224504     1.66   0.098    -.0068182    .0811856
     t_2006_2011 |  -.0639636   .0182501    -3.50   0.000    -.0997331   -.0281941
     t_2006_2012 |  -.0411418   .0244708    -1.68   0.093    -.0891037    .0068202
     t_2006_2013 |  -.0050237    .022848    -0.22   0.826    -.0498049    .0397576
     t_2006_2014 |  -.0585704   .0226596    -2.58   0.010    -.1029823   -.0141585
     t_2006_2015 |  -.1864282   .0224769    -8.29   0.000    -.2304822   -.1423743
     t_2006_2016 |  -.1418684   .0236823    -5.99   0.000     -.188285   -.0954519
    -------------+----------------------------------------------------------------
    g2008        |
     t_1999_2000 |   .1996155   .0437217     4.57   0.000     .1139227    .2853084
     t_2000_2001 |   .0981639   .0547594     1.79   0.073    -.0091626    .2054904
     t_2001_2002 |   .1591918   .0387363     4.11   0.000     .0832701    .2351136
     t_2002_2003 |   .0326055    .037255     0.88   0.381    -.0404129    .1056239
     t_2003_2004 |    .081546   .0310843     2.62   0.009      .020622    .1424701
     t_2004_2005 |   -.006095   .0311837    -0.20   0.845     -.067214    .0550239
     t_2005_2006 |   .0131079   .0357807     0.37   0.714     -.057021    .0832368
     t_2006_2007 |   .0533615   .0350623     1.52   0.128    -.0153593    .1220823
     t_2007_2008 |   .0101544   .0301784     0.34   0.737    -.0489942     .069303
     t_2007_2009 |  -.0381917   .0350859    -1.09   0.276    -.1069588    .0305753
     t_2007_2010 |   .0242532   .0386542     0.63   0.530    -.0515076     .100014
     t_2007_2011 |  -.0555043    .027827    -1.99   0.046    -.1100442   -.0009643
     t_2007_2012 |  -.0105108   .0384791    -0.27   0.785    -.0859285     .064907
     t_2007_2013 |  -.0444556   .0393629    -1.13   0.259    -.1216055    .0326943
     t_2007_2014 |  -.0514432   .0397316    -1.29   0.195    -.1293156    .0264293
     t_2007_2015 |  -.0792674    .038097    -2.08   0.037     -.153936   -.0045987
     t_2007_2016 |  -.1359423   .0403466    -3.37   0.001    -.2150202   -.0568644
    -------------+----------------------------------------------------------------
    g2010        |
     t_1999_2000 |   .2505005   .2166219     1.16   0.248    -.1740706    .6750716
     t_2000_2001 |   .0361318   .3347792     0.11   0.914    -.6200234    .6922871
     t_2001_2002 |  -.0967004    .245037    -0.39   0.693    -.5769642    .3835633
     t_2002_2003 |   .2047957   .2084174     0.98   0.326     -.203695    .6132864
     t_2003_2004 |   .0182498   .1550708     0.12   0.906    -.2856834    .3221829
     t_2004_2005 |   .0883367   .1854682     0.48   0.634    -.2751743    .4518477
     t_2005_2006 |  -.0299956   .1424524    -0.21   0.833    -.3091971    .2492059
     t_2006_2007 |     .09507   .1687616     0.56   0.573    -.2356967    .4258367
     t_2007_2008 |  -.0542319   .1497612    -0.36   0.717    -.3477585    .2392947
     t_2008_2009 |   -.077134   .1463418    -0.53   0.598    -.3639586    .2096907
     t_2009_2010 |   .0097337   .1549414     0.06   0.950    -.2939459    .3134133
     t_2009_2011 |  -.1013255   .0885245    -1.14   0.252    -.2748303    .0721793
     t_2009_2012 |  -.0601373   .2134456    -0.28   0.778     -.478483    .3582084
     t_2009_2013 |    .014191   .1378221     0.10   0.918    -.2559353    .2843173
     t_2009_2014 |  -.1630969   .1424777    -1.14   0.252    -.4423481    .1161543
     t_2009_2015 |  -.0633718   .1939426    -0.33   0.744    -.4434923    .3167487
     t_2009_2016 |  -.3991161    .153248    -2.60   0.009    -.6994767   -.0987554
    -------------+----------------------------------------------------------------
    g2015        |
     t_1999_2000 |   .0316208   .0329147     0.96   0.337    -.0328907    .0961324
     t_2000_2001 |  -.0830882    .037846    -2.20   0.028    -.1572651   -.0089114
     t_2001_2002 |  -.0167685   .0236975    -0.71   0.479    -.0632147    .0296777
     t_2002_2003 |   .0036507   .0206798     0.18   0.860     -.036881    .0441823
     t_2003_2004 |  -.0298066   .0202306    -1.47   0.141    -.0694578    .0098446
     t_2004_2005 |  -.0379145   .0208637    -1.82   0.069    -.0788065    .0029776
     t_2005_2006 |  -.0592244   .0216258    -2.74   0.006    -.1016103   -.0168385
     t_2006_2007 |  -.0152748   .0219081    -0.70   0.486    -.0582139    .0276643
     t_2007_2008 |  -.0459901    .020605    -2.23   0.026    -.0863753    -.005605
     t_2008_2009 |   -.027134   .0247298    -1.10   0.273    -.0756036    .0213356
     t_2009_2010 |   .0347201   .0242328     1.43   0.152    -.0127754    .0822156
     t_2010_2011 |   .0583254   .0212381     2.75   0.006     .0166994    .0999514
     t_2011_2012 |   -.098918   .0247463    -4.00   0.000      -.14742   -.0504161
     t_2012_2013 |  -.0605567   .0227372    -2.66   0.008    -.1051208   -.0159926
     t_2013_2014 |  -.0869376   .0193846    -4.48   0.000    -.1249308   -.0489445
     t_2014_2015 |  -.0453287   .0181947    -2.49   0.013    -.0809896   -.0096677
     t_2014_2016 |  -.0464498   .0201935    -2.30   0.021    -.0860284   -.0068713
    ------------------------------------------------------------------------------
    Control: Never Treated
    
    See Callaway and Sant'Anna (2021) for details
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