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  • Diff in diff in panel

    Hi all,

    I have a database that looks like this:

    Code:
    * Example generated by -dataex-. To install: ssc install dataex
    clear
    input float(id_indication norm_year) str83 IndicationLevel3 float(treated launch_year_first_gene_cell) double(prod_ann_sales n_prods counter_new_prod) float(log_sales gr_rate did)
    13  -7 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  2 0         .            .  -7
    13  -6 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  3 1         .            .  -6
    13  -5 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  3 0         .            .  -5
    13  -4 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  4 0         .            .  -4
    13  -3 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  4 0         .            .  -3
    13  -2 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  4 1         .            .  -2
    13  -1 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  4 2         .            .  -1
    13   0 "Age-related macular degeneration (AMD), unspecified" 1 2023  68.09300762509591  6 0 4.2208743            .   0
    13   1 "Age-related macular degeneration (AMD), unspecified" 1 2023  185.3200987636163  6 0  5.222085    1.0012102   1
    13   2 "Age-related macular degeneration (AMD), unspecified" 1 2023 291.38369445292403  6 0  5.674641     .4525566   2
    13   3 "Age-related macular degeneration (AMD), unspecified" 1 2023   208.286373822512  4 0  5.338914    -.3357272   3
    13   4 "Age-related macular degeneration (AMD), unspecified" 1 2023   260.949361715908  3 0  5.564326    .22541237   4
    13   5 "Age-related macular degeneration (AMD), unspecified" 1 2023   316.946554921264  4 1  5.758733      .194407   5
    13   6 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  5 0         .            .   6
    13   7 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  6 1         .            .   7
    13   8 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  8 0         .            .   8
    13   9 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  8 0         .            .   9
    13  10 "Age-related macular degeneration (AMD), unspecified" 1 2023   32.1958562267076  9 3  3.471838            .  10
    13  11 "Age-related macular degeneration (AMD), unspecified" 1 2023   34.1135746125679  9 1  3.529695    .05785751  11
    13  12 "Age-related macular degeneration (AMD), unspecified" 1 2023   37.2969798215507  9 0 3.6189125    .08921719  12
    13  13 "Age-related macular degeneration (AMD), unspecified" 1 2023   41.9779202678342  9 1  3.737144     .1182313  13
    13  14 "Age-related macular degeneration (AMD), unspecified" 1 2023     49.02764073361  9 1  3.892384    .15524054  14
    13  15 "Age-related macular degeneration (AMD), unspecified" 1 2023    55.761731290709  8 1 4.0210876    .12870336  15
    13  16 "Age-related macular degeneration (AMD), unspecified" 1 2023  350.1011718268503 12 2  5.858222    1.8371344  16
    13  17 "Age-related macular degeneration (AMD), unspecified" 1 2023  377.4424266057366 11 1  5.933418    .07519627  17
    13  18 "Age-related macular degeneration (AMD), unspecified" 1 2023  393.1269686571709  9 1  5.974133    .04071426  18
    13  19 "Age-related macular degeneration (AMD), unspecified" 1 2023  420.9569089549775  9 0  6.042531      .068398  19
    13  20 "Age-related macular degeneration (AMD), unspecified" 1 2023              365.8  6 0  5.902087    -.1404438  20
    13  21 "Age-related macular degeneration (AMD), unspecified" 1 2023              378.4  6 0  5.935952   .033864975  21
    13  22 "Age-related macular degeneration (AMD), unspecified" 1 2023             386.65  6 0   5.95752     .0215683  22
    13  23 "Age-related macular degeneration (AMD), unspecified" 1 2023              395.1  6 1  5.979139   .021618843  23
    13  24 "Age-related macular degeneration (AMD), unspecified" 1 2023              403.8  6 1   6.00092    .02178097  24
    13  25 "Age-related macular degeneration (AMD), unspecified" 1 2023              412.5  6 2  6.022236    .02131653  25
    13  32 "Age-related macular degeneration (AMD), unspecified" 1 2023   54.1481715679621  3 0  3.991724            .  32
    13  33 "Age-related macular degeneration (AMD), unspecified" 1 2023   54.1116936855903  3 0   3.99105 -.0006740093  33
    13  34 "Age-related macular degeneration (AMD), unspecified" 1 2023   55.1951505556411  3 0  4.010875    .01982498  34
    13  35 "Age-related macular degeneration (AMD), unspecified" 1 2023   56.6109652361522  3 1  4.036203    .02532768  35
    13  36 "Age-related macular degeneration (AMD), unspecified" 1 2023   54.6618182873792  3 0 4.0011654  -.035037518  36
    13  37 "Age-related macular degeneration (AMD), unspecified" 1 2023   54.6050236621769  4 0  4.000126  -.001039505  37
    13  38 "Age-related macular degeneration (AMD), unspecified" 1 2023    54.605023662177  4 1  4.000126            0  38
    13  39 "Age-related macular degeneration (AMD), unspecified" 1 2023   54.6050236621769  4 1  4.000126            0  39
    13  40 "Age-related macular degeneration (AMD), unspecified" 1 2023   54.6050236621769  4 0  4.000126            0  40
    13  41 "Age-related macular degeneration (AMD), unspecified" 1 2023   54.6050236621769  4 0  4.000126            0  41
    13  42 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  1 0         .            .  42
    13  43 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  1 1         .            .  43
    13  44 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  1 0         .            .  44
    13  45 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  1 0         .            .  45
    13  46 "Age-related macular degeneration (AMD), unspecified" 1 2023                  0  1 0         .            .  46
    30 -10 "Anaemia, other"                                      1 2021                  0  1 0         .            . -10
    30  -9 "Anaemia, other"                                      1 2021                  0  1 0         .            .  -9
    30  -8 "Anaemia, other"                                      1 2021                  0  1 0         .            .  -8
    30  -7 "Anaemia, other"                                      1 2021                  0  4 1         .            .  -7
    30  -6 "Anaemia, other"                                      1 2021                  0  4 0         .            .  -6
    30  -5 "Anaemia, other"                                      1 2021                  0  4 0         .            .  -5
    30  -4 "Anaemia, other"                                      1 2021                  0  5 1         .            .  -4
    30  -3 "Anaemia, other"                                      1 2021                  0  9 1         .            .  -3
    30  -2 "Anaemia, other"                                      1 2021                  0 12 1         .            .  -2
    30  -1 "Anaemia, other"                                      1 2021                  0 12 2         .            .  -1
    30   0 "Anaemia, other"                                      1 2021 100.11260297837309 11 1 4.6062956            .   0
    30   1 "Anaemia, other"                                      1 2021   579.720334648584 12 0  6.362546    1.7562504   1
    30   2 "Anaemia, other"                                      1 2021 1163.9830434580736 14 2  7.059603     .6970572   2
    30   3 "Anaemia, other"                                      1 2021  1161.740647254543 13 1  7.057675 -.0019283295   3
    30   4 "Anaemia, other"                                      1 2021   1585.65415838967 13 1  7.368752     .3110776   4
    30   5 "Anaemia, other"                                      1 2021 1978.8235687993501 13 2  7.590258    .22150517   5
    30   6 "Anaemia, other"                                      1 2021  1928.692600759952 12 1  7.564598   -.02566004   6
    30   7 "Anaemia, other"                                      1 2021   1855.09233611685 11 1   7.52569     -.038908   7
    30   8 "Anaemia, other"                                      1 2021   23.9490317324397 14 3  3.175928    -4.349762   8
    30   9 "Anaemia, other"                                      1 2021  25.33961379635926 14 1  3.232369    .05644107   9
    30  10 "Anaemia, other"                                      1 2021   24.6364820047618 15 2 3.2042284  -.028140545  10
    30  11 "Anaemia, other"                                      1 2021   25.0925969451134 15 2  3.222573   .018344402  11
    30  12 "Anaemia, other"                                      1 2021 1086.1758350892396 19 2  6.990418    3.7678456  12
    30  13 "Anaemia, other"                                      1 2021 1127.0110193879407 17 1  7.027324   .036905766  13
    30  14 "Anaemia, other"                                      1 2021 1003.8513499695789 20 1  6.911599   -.11572504  14
    30  15 "Anaemia, other"                                      1 2021  682.7168904686663 22 2   6.52608     -.385519  15
    30  16 "Anaemia, other"                                      1 2021  2584.635519918764 27 2   7.85734    1.3312597  16
    30  17 "Anaemia, other"                                      1 2021   2293.00244779975 26 0  7.737617   -.11972237  17
    30  18 "Anaemia, other"                                      1 2021  2012.229915048289 21 2  7.606999   -.13061857  18
    30  19 "Anaemia, other"                                      1 2021  1799.338598517175 21 4  7.495174   -.11182451  19
    30  20 "Anaemia, other"                                      1 2021 1589.9405640059429 20 2  7.371452   -.12372255  20
    30  21 "Anaemia, other"                                      1 2021  1466.391572721288 19 1   7.29056   -.08089209  21
    30  22 "Anaemia, other"                                      1 2021   1216.31719813333 13 2  7.103583    -.1869769  22
    30  23 "Anaemia, other"                                      1 2021      1143.44247835 13 2  7.041799   -.06178427  23
    30  24 "Anaemia, other"                                      1 2021   1043.90635213333 10 2  6.950725   -.09107351  24
    30  25 "Anaemia, other"                                      1 2021        934.2093944  8 1  6.839701   -.11102438  25
    30  26 "Anaemia, other"                                      1 2021                  0  3 0         .            .  26
    30  27 "Anaemia, other"                                      1 2021   40.1342101292367  3 1  3.692229            .  27
    30  28 "Anaemia, other"                                      1 2021   30.1912818825526  2 0  3.407553   -.28467584  28
    30  29 "Anaemia, other"                                      1 2021  994.9361820818389  4 1  6.902678     3.495125  29
    30  30 "Anaemia, other"                                      1 2021 1008.3022795487369  6 2  6.916023   .013344765  30
    30  31 "Anaemia, other"                                      1 2021  806.8550278523296  8 0  6.693144    -.2228794  31
    30  32 "Anaemia, other"                                      1 2021  565.6512559155442  9 0  6.337978     -.355166  32
    30  33 "Anaemia, other"                                      1 2021 488.98279001097495 12 0  6.192327   -.14565039  33
    30  34 "Anaemia, other"                                      1 2021  420.7261592804868 12 1  6.041982   -.15034533  34
    30  35 "Anaemia, other"                                      1 2021 368.46768495898147 12 1  5.909353    -.1326294  35
    30  36 "Anaemia, other"                                      1 2021  318.6006661335485 12 2  5.763938   -.14541435  36
    30  37 "Anaemia, other"                                      1 2021   264.843321264327 10 2  5.579138   -.18480015  37
    30  38 "Anaemia, other"                                      1 2021   222.003216049088 10 1  5.402692   -.17644644  38
    30  39 "Anaemia, other"                                      1 2021                  0  8 0         .            .  39
    30  40 "Anaemia, other"                                      1 2021                  0  6 1         .            .  40
    30  41 "Anaemia, other"                                      1 2021                  0  4 0         .            .  41
    end
    What it basically represents is a panel structure by disease class with a normalized year, being 0 the year in which an advanced therapy is introduced in the market for that disease. Treated disease classes are the ones in which such an advanced therapy has been introduced. I guess I can do it balanced (e.g. by taking -3 -2 -1 0 1 2 3 4 years only for all the disease classes). My aim is actually doing a diff in diff analysis in this context. The main problem that I have is let's say, can I define pre and post dummy as being 0 for negative years and 1 for positive years, 0 included (and then create the interaction between treatment and this dummy) or should I create a year dummy for each one of the normalized years and interact each dummy with treatment variable?
    In other words, how would you proceed for a diff in diff analysis where the dependent variable is log sales?

    Thank you,

    Federico
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