ans =

======================================


ans =

I. Fuzzy Design


ans =

======================================


ans =

======================================


ans =

Summary Statistics


ans =

======================================


summ =

    0.8514    0.0333    0.0069    0.0097   -0.0242
    2.2388    0.9900    0.9951    1.0275    1.0098


ans =

         655        1345


ans =

======================================


ans =

Basic Output Fuzzy Design


ans =

======================================


estimat =

    1.0623


standard_error =

    0.0667


bandwidth =

    0.8402


ans =

======================================


ans =

Full Output Fuzzy Design


ans =

======================================


ans =

==================================================================


ans =

sample size, number of obs with x>=c, number of obs with x<c


ans =

        2000         640        1360


ans =

mean and standard deviation of forcing variable


ans =

    0.0333    0.9900


ans =

silverman bandwidth


h_silverman =

    0.3984


ans =

estimated standard deviation of outcome at threshold


sigma =

    1.8036


ans =

estimated density at threshold


fc =

    0.3483


ans =

median of forcing variable to the left and right of the threshold


ans =

   -0.3802    1.0364


ans =

coefficient in cubic regression


ans =

   -1.4886


ans =

estimate of third derivative


third_der =

   -8.9314


ans =

bandwidth two


ans =

    0.9348    1.0411


ans =

   -0.4348    0.5000


ans =

    0.5000    1.5411


ans =

sample sizes to left and right within median


ans =

   680   320


ans =

second derivatives from left and right


ans =

    2.3764    0.7606


ans =

regularization terms


ans =

    4.2421    3.8562


h_opt =

    0.8402


summ_weight =

    0.2860    0.3348


meanz =

    0.0137   -0.0042   -0.0556


betas =

    1.1704    1.7575    0.2486    0.8013
    1.4320    1.4150    0.4298    0.3580
    1.0088    1.0473    0.0032    0.0333
    1.0257    0.9779    0.0076   -0.0047
    0.9631    0.9774   -0.0137   -0.0159


delta_y_min =

   42.2749   -7.6477   -0.8414   -1.8135   -2.4169
   -7.6477    2.1789   -0.2616    0.9641    0.5360
   -0.8414   -0.2616   41.1151   -1.5981   -1.2253
   -1.8135    0.9641   -1.5981   57.3733    4.6330
   -2.4169    0.5360   -1.2253    4.6330   36.6041


delta_w_min =

   25.8596   -3.8033    1.1134    0.5609   -2.6333
   -3.8033    0.8535   -0.4784    0.5222    0.6145
    1.1134   -0.4784   24.3924   -2.9672   -4.5031
    0.5609    0.5222   -2.9672   33.5632    1.8315
   -2.6333    0.6145   -4.5031    1.8315   19.3812


delta_yw_min =

   25.4783   -3.8461   -0.0486    0.2586   -2.8162
   -3.8461    0.8799   -0.3768    0.6398    0.5721
   -0.0486   -0.3768   23.5642   -2.8219   -3.3969
    0.2586    0.6398   -2.8219   37.1426    3.3490
   -2.8162    0.5721   -3.3969    3.3490   19.3720


gamma_min =

  317.0004  -91.6898    5.3180   -7.4418   -8.9595
  -91.6898   38.7249   -0.7095    0.8742    4.0436
    5.3180   -0.7095  325.6506    0.0867    0.4799
   -7.4418    0.8742    0.0867  365.8710   11.4955
   -8.9595    4.0436    0.4799   11.4955  309.9891


v_min =

    0.0018    0.0037   -0.0001    0.0001   -0.0000
    0.0037    0.0088   -0.0002    0.0002   -0.0001
   -0.0001   -0.0002    0.0004   -0.0000   -0.0000
    0.0001    0.0002   -0.0000    0.0004    0.0000
   -0.0000   -0.0001   -0.0000    0.0000    0.0004


delta_y_plus =

   33.4333    5.1638   -5.8708    1.1341    3.9210
    5.1638    1.3416   -0.8889    0.1917    0.0207
   -5.8708   -0.8889   28.0854   -1.8586   -0.7355
    1.1341    0.1917   -1.8586   27.6610    0.1036
    3.9210    0.0207   -0.7355    0.1036   34.1017


delta_w_plus =

   19.6243    2.5433   -4.5996    1.5417    3.7924
    2.5433    0.5307   -0.6680    0.4068    0.2371
   -4.5996   -0.6680   14.2875   -0.5834   -2.0476
    1.5417    0.4068   -0.5834   14.6807   -0.2958
    3.7924    0.2371   -2.0476   -0.2958   21.8126


delta_yw_plus =

   19.4612    2.5323   -5.2568    1.0520    2.8387
    2.5323    0.5310   -0.7013    0.1526    0.0804
   -5.2568   -0.7013   15.1697   -0.8650   -1.1753
    1.0520    0.1526   -0.8650   14.0969   -0.1080
    2.8387    0.0804   -1.1753   -0.1080   19.8819


gamma_plus =

  254.9883   63.1733   -5.3180    7.4418    8.9595
   63.1733   24.4024   -3.9646    3.1704   -0.2523
   -5.3180   -3.9646  242.6275  -18.2637    0.2646
    7.4418    3.1704  -18.2637  245.0427   14.0170
    8.9595   -0.2523    0.2646   14.0170  260.8570


v_plus =

    0.0019   -0.0041   -0.0002    0.0000    0.0000
   -0.0041    0.0111    0.0005   -0.0001   -0.0001
   -0.0002    0.0005    0.0005    0.0000   -0.0000
    0.0000   -0.0001    0.0000    0.0005   -0.0001
    0.0000   -0.0001   -0.0000   -0.0001    0.0005


ans =

    0.0037   -0.0004   -0.0003    0.0001    0.0000
   -0.0004    0.0198    0.0003    0.0001   -0.0002
   -0.0003    0.0003    0.0009    0.0000   -0.0000
    0.0001    0.0001    0.0000    0.0009   -0.0000
    0.0000   -0.0002   -0.0000   -0.0000    0.0009


delta =

  Columns 1 through 9

   42.2749   -7.6477   -0.8414   -1.8135   -2.4169   25.4783   -3.8461   -0.0486    0.2586
   -7.6477    2.1789   -0.2616    0.9641    0.5360   -3.8461    0.8799   -0.3768    0.6398
   -0.8414   -0.2616   41.1151   -1.5981   -1.2253   -0.0486   -0.3768   23.5642   -2.8219
   -1.8135    0.9641   -1.5981   57.3733    4.6330    0.2586    0.6398   -2.8219   37.1426
   -2.4169    0.5360   -1.2253    4.6330   36.6041   -2.8162    0.5721   -3.3969    3.3490
   25.4783   -3.8461   -0.0486    0.2586   -2.8162   25.8596   -3.8033    1.1134    0.5609
   -3.8461    0.8799   -0.3768    0.6398    0.5721   -3.8033    0.8535   -0.4784    0.5222
   -0.0486   -0.3768   23.5642   -2.8219   -3.3969    1.1134   -0.4784   24.3924   -2.9672
    0.2586    0.6398   -2.8219   37.1426    3.3490    0.5609    0.5222   -2.9672   33.5632
   -2.8162    0.5721   -3.3969    3.3490   19.3720   -2.6333    0.6145   -4.5031    1.8315
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0

  Columns 10 through 18

   -2.8162         0         0         0         0         0         0         0         0
    0.5721         0         0         0         0         0         0         0         0
   -3.3969         0         0         0         0         0         0         0         0
    3.3490         0         0         0         0         0         0         0         0
   19.3720         0         0         0         0         0         0         0         0
   -2.6333         0         0         0         0         0         0         0         0
    0.6145         0         0         0         0         0         0         0         0
   -4.5031         0         0         0         0         0         0         0         0
    1.8315         0         0         0         0         0         0         0         0
   19.3812         0         0         0         0         0         0         0         0
         0   33.4333    5.1638   -5.8708    1.1341    3.9210   19.4612    2.5323   -5.2568
         0    5.1638    1.3416   -0.8889    0.1917    0.0207    2.5323    0.5310   -0.7013
         0   -5.8708   -0.8889   28.0854   -1.8586   -0.7355   -5.2568   -0.7013   15.1697
         0    1.1341    0.1917   -1.8586   27.6610    0.1036    1.0520    0.1526   -0.8650
         0    3.9210    0.0207   -0.7355    0.1036   34.1017    2.8387    0.0804   -1.1753
         0   19.4612    2.5323   -5.2568    1.0520    2.8387   19.6243    2.5433   -4.5996
         0    2.5323    0.5310   -0.7013    0.1526    0.0804    2.5433    0.5307   -0.6680
         0   -5.2568   -0.7013   15.1697   -0.8650   -1.1753   -4.5996   -0.6680   14.2875
         0    1.0520    0.1526   -0.8650   14.0969   -0.1080    1.5417    0.4068   -0.5834
         0    2.8387    0.0804   -1.1753   -0.1080   19.8819    3.7924    0.2371   -2.0476

  Columns 19 through 20

         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
    1.0520    2.8387
    0.1526    0.0804
   -0.8650   -1.1753
   14.0969   -0.1080
   -0.1080   19.8819
    1.5417    3.7924
    0.4068    0.2371
   -0.5834   -2.0476
   14.6807   -0.2958
   -0.2958   21.8126


gamma =

  Columns 1 through 9

  317.0004  -91.6898    5.3180   -7.4418   -8.9595         0         0         0         0
  -91.6898   38.7249   -0.7095    0.8742    4.0436         0         0         0         0
    5.3180   -0.7095  325.6506    0.0867    0.4799         0         0         0         0
   -7.4418    0.8742    0.0867  365.8710   11.4955         0         0         0         0
   -8.9595    4.0436    0.4799   11.4955  309.9891         0         0         0         0
         0         0         0         0         0  317.0004  -91.6898    5.3180   -7.4418
         0         0         0         0         0  -91.6898   38.7249   -0.7095    0.8742
         0         0         0         0         0    5.3180   -0.7095  325.6506    0.0867
         0         0         0         0         0   -7.4418    0.8742    0.0867  365.8710
         0         0         0         0         0   -8.9595    4.0436    0.4799   11.4955
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0

  Columns 10 through 18

         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
   -8.9595         0         0         0         0         0         0         0         0
    4.0436         0         0         0         0         0         0         0         0
    0.4799         0         0         0         0         0         0         0         0
   11.4955         0         0         0         0         0         0         0         0
  309.9891         0         0         0         0         0         0         0         0
         0  254.9883   63.1733   -5.3180    7.4418    8.9595         0         0         0
         0   63.1733   24.4024   -3.9646    3.1704   -0.2523         0         0         0
         0   -5.3180   -3.9646  242.6275  -18.2637    0.2646         0         0         0
         0    7.4418    3.1704  -18.2637  245.0427   14.0170         0         0         0
         0    8.9595   -0.2523    0.2646   14.0170  260.8570         0         0         0
         0         0         0         0         0         0  254.9883   63.1733   -5.3180
         0         0         0         0         0         0   63.1733   24.4024   -3.9646
         0         0         0         0         0         0   -5.3180   -3.9646  242.6275
         0         0         0         0         0         0    7.4418    3.1704  -18.2637
         0         0         0         0         0         0    8.9595   -0.2523    0.2646

  Columns 19 through 20

         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
    7.4418    8.9595
    3.1704   -0.2523
  -18.2637    0.2646
  245.0427   14.0170
   14.0170  260.8570


var =

  Columns 1 through 9

    0.0018    0.0037   -0.0001    0.0001   -0.0000    0.0012    0.0025   -0.0001    0.0001
    0.0037    0.0088   -0.0002    0.0002   -0.0001    0.0025    0.0054   -0.0001    0.0002
   -0.0001   -0.0002    0.0004   -0.0000   -0.0000   -0.0001   -0.0001    0.0002   -0.0000
    0.0001    0.0002   -0.0000    0.0004    0.0000    0.0001    0.0002   -0.0000    0.0003
   -0.0000   -0.0001   -0.0000    0.0000    0.0004   -0.0000   -0.0001   -0.0000    0.0000
    0.0012    0.0025   -0.0001    0.0001   -0.0000    0.0013    0.0026   -0.0000    0.0001
    0.0025    0.0054   -0.0001    0.0002   -0.0001    0.0026    0.0056   -0.0001    0.0002
   -0.0001   -0.0001    0.0002   -0.0000   -0.0000   -0.0000   -0.0001    0.0002   -0.0000
    0.0001    0.0002   -0.0000    0.0003    0.0000    0.0001    0.0002   -0.0000    0.0003
   -0.0000   -0.0001   -0.0000    0.0000    0.0002   -0.0000   -0.0001   -0.0000   -0.0000
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0         0

  Columns 10 through 18

   -0.0000         0         0         0         0         0         0         0         0
   -0.0001         0         0         0         0         0         0         0         0
   -0.0000         0         0         0         0         0         0         0         0
    0.0000         0         0         0         0         0         0         0         0
    0.0002         0         0         0         0         0         0         0         0
   -0.0000         0         0         0         0         0         0         0         0
   -0.0001         0         0         0         0         0         0         0         0
   -0.0000         0         0         0         0         0         0         0         0
   -0.0000         0         0         0         0         0         0         0         0
    0.0002         0         0         0         0         0         0         0         0
         0    0.0019   -0.0041   -0.0002    0.0000    0.0000    0.0012   -0.0026   -0.0002
         0   -0.0041    0.0111    0.0005   -0.0001   -0.0001   -0.0026    0.0063    0.0004
         0   -0.0002    0.0005    0.0005    0.0000   -0.0000   -0.0002    0.0004    0.0003
         0    0.0000   -0.0001    0.0000    0.0005   -0.0001    0.0000   -0.0001    0.0000
         0    0.0000   -0.0001   -0.0000   -0.0001    0.0005    0.0000   -0.0001   -0.0000
         0    0.0012   -0.0026   -0.0002    0.0000    0.0000    0.0012   -0.0026   -0.0002
         0   -0.0026    0.0063    0.0004   -0.0001   -0.0001   -0.0026    0.0063    0.0003
         0   -0.0002    0.0004    0.0003    0.0000   -0.0000   -0.0002    0.0003    0.0002
         0    0.0000   -0.0001    0.0000    0.0002   -0.0000    0.0000    0.0000    0.0000
         0    0.0000   -0.0001   -0.0000   -0.0000    0.0003    0.0001   -0.0001   -0.0000

  Columns 19 through 20

         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
    0.0000    0.0000
   -0.0001   -0.0001
    0.0000   -0.0000
    0.0002   -0.0000
   -0.0000    0.0003
    0.0000    0.0001
    0.0000   -0.0001
    0.0000   -0.0000
    0.0003   -0.0000
   -0.0000    0.0003


g =

   -1.8092
         0
         0
         0
         0
    1.9219
         0
         0
         0
         0
    1.8092
         0
         0
         0
         0
   -1.9219
         0
         0
         0
         0


ans =

==================================================================


estimat =

    1.0623


standard_error =

    0.0667


bandwidth =

    0.8402


ans =

=====================================


ans =

II. sharp rd design


ans =

=====================================


ans =

======================================


ans =

Summary Statistics


ans =

======================================


summ =

    0.8600   -0.0160   -0.0070    0.0007   -0.0175    0.0068
    2.4380    1.0309    1.0051    0.9642    1.0112    0.9805


ans =

   383   617


ans =

======================================


ans =

Basic Output Sharp Design


ans =

======================================


estimat =

    0.9996


standard_error =

    0.0529


bandwidth =

    0.6700