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  • Interrupted Times Series Post trend Figure does not Represent the Coefficients

    Dear Stata members,


    I am running Interrupted Time Series on my data set. My question is that, when I run ITS with my covariates and plot the post trend figure, the figure does not represent the coefficients (slopes) I obtained in the regression.
    If you look at the code and the figure bellow, you can see that in the regression, the slope after the intervention is negative while in the figure the slope after the intervention is positive. The figure seems to represent the ITS result without any covariates. So could anyone please explain me how can I interpret this?



    Code:
    . xtset pannel_var weeks_from_start
    
    Panel variable: pannel_var (unbalanced)
     Time variable: weeks_from_start, -36 to 16, but with gaps
             Delta: 1 unit
    
    .
    . xtitsa positivity_rate if weeks_from_start < 14 & weeks_from_start > -10, single trperiod(0) posttrend figure replace
    
    
    
    Panel variable: pannel_var (unbalanced)
     Time variable: weeks_from_start, -36 to 16, but with gaps
             Delta: 1 unit
    
    
    ------------------------------------------------------------------------------
    _positivit~e | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    -------------+----------------------------------------------------------------
              _t |  -.0023408   .0002131   -10.99   0.000    -.0027585   -.0019232
             _x0 |  -.0395572   .0024548   -16.11   0.000    -.0443685   -.0347459
           _x_t0 |   .0043239   .0003358    12.88   0.000     .0036658     .004982
           _cons |    .068182   .0013013    52.40   0.000     .0656315    .0707325
    ------------------------------------------------------------------------------
    
    
                        Postintervention Linear Trend: 0
    
    Treated: _b[_t]+_b[_x_t0]
    ------------------------------------------------------------------------------
    Linear Trend |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
    -------------+----------------------------------------------------------------
         Treated |   .0019831   .0002735     7.25   0.000      .001447    .0025192
    ------------------------------------------------------------------------------
    
    
    . xtitsa positivity_rate i.weeks_from_start_pos i._x0#c.cases_norm i._x0#c.full_district_porportion i._x0#c.consent_rate_cumsum i._x0#c.black i._x0#c.white  i._x0#c.hispanic  i._x0#c.other i._x0#i.rural i._x0#i.title1 i._x0#i.charter i._x0#i.surv_group  i._x0#i.masking_policy i._x0#i.school_category if weeks_from_start < 14 & weeks_from_start > -10, sngle trperiod(0) posttrend figure replace
    
    
    
    Panel variable: pannel_var (unbalanced)
     Time variable: weeks_from_start, -36 to 16, but with gaps
             Delta: 1 unit
    
    
    ------------------------------------------------------------------------------------------------
                  _positivity_rate | Coefficient  Std. err.      z    P>|z|     [95% conf. interval]
    -------------------------------+----------------------------------------------------------------
                                _t |  -.0001731   .0001633    -1.06   0.289    -.0004931    .0001469
                               _x0 |  -.1342962   .0185167    -7.25   0.000    -.1705883   -.0980041
                             _x_t0 |   -.004014   .0013141    -3.05   0.002    -.0065896   -.0014385
                                   |
              weeks_from_start_pos |
                               30  |  -.0523541   .0020964   -24.97   0.000     -.056463   -.0482451
                               32  |  -.0853062   .0023276   -36.65   0.000    -.0898681   -.0807442
                               34  |  -.0953261   .0026281   -36.27   0.000     -.100477   -.0901752
                               36  |  -.0704673   .0143642    -4.91   0.000    -.0986207    -.042314
                               38  |  -.0579889   .0117729    -4.93   0.000    -.0810633   -.0349145
                               40  |  -.0447715   .0092084    -4.86   0.000    -.0628197   -.0267233
                               42  |  -.0315088   .0067481    -4.67   0.000    -.0447348   -.0182828
                               44  |  -.0158642   .0043358    -3.66   0.000    -.0243621   -.0073662
                               46  |          0  (omitted)
                               48  |          0  (omitted)
                                   |
                  _x0#c.cases_norm |
                                0  |  -.3758737   .0258557   -14.54   0.000      -.42655   -.3251973
                                1  |  -.0242011   .0267325    -0.91   0.365    -.0765958    .0281937
                                   |
    _x0#c.full_district_porportion |
                                0  |  -.0519608   .0071885    -7.23   0.000    -.0660501   -.0378715
                                1  |  -.0078668   .0071432    -1.10   0.271    -.0218671    .0061336
                                   |
         _x0#c.consent_rate_cumsum |
                                0  |  -.0254564     .00303    -8.40   0.000    -.0313951   -.0195176
                                1  |  -.0026842   .0028657    -0.94   0.349    -.0083008    .0029324
                                   |
                       _x0#c.black |
                                0  |  -.0001852   .0000719    -2.57   0.010    -.0003262   -.0000442
                                1  |   .0001368   .0000717     1.91   0.057    -3.84e-06    .0002773
                                   |
                       _x0#c.white |
                                0  |  -.0000706   .0000371    -1.90   0.057    -.0001432    2.07e-06
                                1  |  -1.80e-06   .0000334    -0.05   0.957    -.0000674    .0000638
                                   |
                    _x0#c.hispanic |
                                0  |  -.0000465   .0000535    -0.87   0.385    -.0001514    .0000585
                                1  |  -.0000212   .0000564    -0.38   0.707    -.0001317    .0000893
                                   |
                       _x0#c.other |
                                0  |  -.0001777   .0000615    -2.89   0.004    -.0002982   -.0000572
                                1  |  -.0000154   .0000537    -0.29   0.775    -.0001207      .00009
                                   |
                         _x0#rural |
                              0 1  |  -.0369213   .0055236    -6.68   0.000    -.0477473   -.0260953
                              1 0  |  -.0031388    .005203    -0.60   0.546    -.0133366     .007059
                              1 1  |          0  (omitted)
                                   |
                        _x0#title1 |
                              0 1  |  -.0235955   .0035583    -6.63   0.000    -.0305696   -.0166214
                              1 0  |   .0058005   .0034026     1.70   0.088    -.0008684    .0124694
                              1 1  |          0  (omitted)
                                   |
                       _x0#charter |
                              0 1  |   .0108525   .0043938     2.47   0.014     .0022409    .0194641
                              1 0  |  -.0018951   .0042701    -0.44   0.657    -.0102644    .0064742
                              1 1  |          0  (omitted)
                                   |
                    _x0#surv_group |
                              0 1  |          0  (omitted)
                              1 1  |          0  (omitted)
                                   |
                _x0#masking_policy |
                              0 0  |          0  (empty)
                              0 1  |          0  (omitted)
                              1 0  |  -.0118502   .0033287    -3.56   0.000    -.0183743   -.0053262
                              1 1  |          0  (omitted)
                                   |
               _x0#school_category |
                         0#public  |   .0162698   .0024816     6.56   0.000     .0114059    .0211337
                        1#private  |  -.0005974   .0022571    -0.26   0.791    -.0050213    .0038264
                         1#public  |          0  (omitted)
                                   |
                             _cons |   .2424306   .0079723    30.41   0.000     .2268053    .2580559
    ------------------------------------------------------------------------------------------------
    
    
                        Postintervention Linear Trend: 0
    
    Treated: _b[_t]+_b[_x_t0]
    ------------------------------------------------------------------------------
    Linear Trend |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
    -------------+----------------------------------------------------------------
         Treated |  -.0041872   .0012989    -3.22   0.001     -.006733   -.0016414
    ------------------------------------------------------------------------------
    
    .
    end of do-file

    Click image for larger version

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    Last edited by Anseh Danesharasteh; 07 Nov 2022, 10:59.
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