what to control

Crash Course in Good and Bad Controls: Linear (R)

model1 graph

model1 simulation

 (1)   (2)
(Intercept) 0.006 0.005
(0.012) (0.010)
x 1.501 0.995
(0.009) (0.010)
z 0.999
(0.014)
Num.Obs. 10000 10000
R2 0.752 0.835

model2 graph

model2 simulation

 (1)   (2)
(Intercept) 0.001 0.005
(0.013) (0.012)
x 1.341 0.991
(0.008) (0.012)
z 0.527
(0.015)
Num.Obs. 10000 10000
R2 0.760 0.786

model3 graph

model3 simulation

 (1)   (2)
(Intercept) −0.032 −0.024
(0.016) (0.010)
x 1.496 1.006
(0.011) (0.008)
z 0.992
(0.008)
Num.Obs. 10000 10000
R2 0.640 0.855

model4 graph

model4 simulation

 (1)   (2)
(Intercept) 0.018 0.011
(0.016) (0.014)
x 1.484 0.977
(0.011) (0.014)
z 1.011
(0.020)
Num.Obs. 10000 10000
R2 0.638 0.713

model5 graph

model5 simulation

 (1)   (2)
(Intercept) −0.021 −0.014
(0.017) (0.016)
x 1.320 0.972
(0.010) (0.016)
z 0.521
(0.019)
Num.Obs. 10000 10000
R2 0.656 0.680

model6 graph

model6 simulation

 (1)   (2)
(Intercept) 0.006 −0.004
(0.019) (0.014)
x 1.519 1.012
(0.013) (0.012)
z 1.001
(0.012)
Num.Obs. 10000 10000
R2 0.563 0.749

model7 graph

mdoel7 simulation

 (1)   (2)
(Intercept) 0.075 0.084
(0.041) (0.032)
x 0.984 1.748
(0.029) (0.025)
z −1.580
(0.020)
Num.Obs. 10000 10000
R2 0.102 0.437

model8 graph

model8 simulation

unadjusted.x   adjusted.x 
    1.000071     1.000279

model9 graph

model 9 simulation

unadjusted.x   adjusted.x 
    1.000293     1.000552

model10 graph

model10 simulation

 (1)   (2)
(Intercept) 0.024 0.012
(0.021) (0.017)
x 1.339 2.003
(0.009) (0.012)
z −1.987
(0.030)
Num.Obs. 10000 10000
R2 0.712 0.801

model11 graph

model11 simulation

 (1)   (2)
(Intercept) −0.020 −0.020
(0.014) (0.010)
x 1.023 0.032
(0.014) (0.014)
z 0.977
(0.010)
Num.Obs. 10000 10000
R2 0.346 0.670

model12 graph

model12 simulation

 (1)   (2)
(Intercept) 0.007 0.001
(0.014) (0.012)
x 1.024 0.496
(0.014) (0.015)
z 0.514
(0.009)
Num.Obs. 10000 10000
R2 0.344 0.517

variation of model11

variation of model11 simulation

 (1)   (2)
(Intercept) 0.001 −0.004
(0.024) (0.012)
x 1.013 −0.496
(0.024) (0.015)
z 1.503
(0.009)
Num.Obs. 10000 10000
R2 0.148 0.782

model13 graph

model13 simulation

unadjusted.x   adjusted.x 
    1.000018     1.000700

model14 graph

model14 simulation

unadjusted.x   adjusted.x 
    1.001285     1.001036

model15 graph

model15 simulation

 (1)   (2)   (3)
(Intercept) 0.016 0.015 0.014
(0.019) (0.017) (0.022)
x 1.642 0.990 0.993
(0.022) (0.024) (0.022)
w −0.656 −0.995
(0.011) (0.012)
z 1.000
(0.021)
Num.Obs. 10000 10000 10000
R2 0.383 0.498 0.165

model16 graph

model16 simulation

 (1)   (2)
(Intercept) 0.032 0.020
(0.023) (0.017)
x 1.013 −0.019
(0.023) (0.021)
z 1.021
(0.012)
Num.Obs. 10000 10000
R2 0.164 0.511

model17 graph

model17 simulation

 (1)   (2)
(Intercept) 0.007 −0.003
(0.010) (0.007)
x 1.008 0.010
(0.010) (0.012)
z 0.494
(0.005)
Num.Obs. 10000 10000
R2 0.511 0.755

model18 graph

model18 simulation

 (1)   (2)
(Intercept) −0.001 0.003
(0.010) (0.007)
x 0.978 0.496
(0.010) (0.009)
z 0.497
(0.005)
Num.Obs. 10000 10000
R2 0.489 0.743

summary