Selecting Summary Statistics in Approximate Bayesian Computation for Calibrating Stochastic Models

Table 1

The RMSE₁ and RMSE₂ values for each of the three sets of candidate summary statistics for 𝑐₁, 𝑐₃, and 𝜏 using unadjusted estimates of the respective posterior distribution. The table entries are RMSE₁ for 𝑐₁, 𝑐₃, and 𝜏 in the top line and RMSE₂ for 𝑐₁, 𝑐₃, and 𝜏 in the bottom line. Table entries are based on one set of 𝑛_rep=1000 replications of the 3-step procedure in Section 4.3 and are repeatable across sets of 1000 replications to the number of digits shown.

Candidate summary statistic	RMSE1 for 𝑐1, 𝑐3, and 𝜏; RMSE2 for 𝑐1, 𝑐3, and 𝜏
1	RMSE1: 0.0002, 0.0002, 0.15; RMSE2: 0.19, 0.08, 0.05
2	RMSE1: 0.0002, 0.0002, 0.09; RMSE2: 0.20, 0.09, 0.08
3	RMSE1: 0.0002, 0.0001, 0.09; RMSE2: 0.18, 0.07, 0.09