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. 2020 Feb 12;55(2):328–338. doi: 10.1111/1475-6773.13274

Table 2.

Monte Carlo simulation study results by method and scenario

Scenario Root mean squared error
A1 A2 B1 B2 C1 C2 D1 D2
Parallel trends Holds Holds Fails Fails Fails Fails Fails Fails
Homogenous treatment effects Yes No Yes No Yes No Yes No
Time‐invariant covariates and treated units in convex hull No No No No Yes Yes No No
Group‐specific shock postintervention No No No No No No Yes Yes
18 pre‐treatment periods
Difference‐in‐differences 0.01 0.01 43.74 43.74 10.78 10.78 74.25 74.25
Synthetic controls 0.09 0.09 4.46 4.46 0.06 0.06 14.88 14.88
Interactive fixed effects 0.01 0.36 0.06 1.88 0.02 0.11 4.37 6.43
Generalized synthetic controls 0.01 0.01 0.07 0.07 0.02 0.02 4.28 4.28
12 pre‐treatment periods
Difference‐in‐differences 0.01 0.01 23.19 23.19 5.65 5.65 46.38 46.38
Synthetic controls 0.11 0.11 3.97 3.97 0.07 0.07 13.47 13.47
Interactive fixed effects 0.02 0.32 0.14 0.71 0.04 0.14 4.04 1.70
Generalized synthetic controls 0.02 0.02 0.11 0.11 0.03 0.03 4.30 4.30
9 pre‐treatment periods
Difference‐in‐differences 0.01 0.01 15.34 15.34 3.78 3.78 34.93 34.93
Synthetic controls 0.13 0.13 3.80 3.80 0.10 0.10 12.98 12.98
Interactive fixed effects 0.02 0.34 0.17 0.98 0.05 0.17 4.19 1.52
Generalized synthetic controls 0.02 0.02 0.18 0.18 0.05 0.05 4.58 4.58
6 pre‐treatment periods
Difference‐in‐differences 0.02 0.02 9.05 9.05 2.24 2.24 24.98 24.98
Synthetic controls 0.16 0.16 3.66 3.66 0.13 0.13 12.97 12.97
Interactive fixed effects 0.03 0.33 0.19 1.33 0.09 0.19 4.27 1.39
Generalized synthetic controls 0.03 0.03 0.34 0.34 0.10 0.10 5.00 5.00