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. Author manuscript; available in PMC: 2021 Jan 30.
Published in final edited form as: J Comput Chem. 2019 Nov 13;41(3):247–257. doi: 10.1002/jcc.26095

Table 3:

Analytically derived and simulated metrics for different designs with different MSEΔΔGFEP variability and ∆GTrue distributions.

aGTrue from standard normal
MSEΔΔGFEP=1.0 MSEΔΔGFEP=2.25
Pairs Design MSEΔGc Median ρd Accuracye MSEΔG Median ρ Accuracy
20 Random 4.02 0.60 30.5% 9.00 0.46 20.4%
D-optimal 3.83 0.60 31.5% 8.61 0.46 22.8%
A-optimal 1.42 0.70 35.3% 3.19 0.55 24.6%

30 Random 1.66 0.77 40.9% 3.73 0.63 27.8%
D-Optimal 1.36 0.81 49.2% 3.12 0.68 34.6%
A-Optimal 1.08 0.79 45.3% 2.43 0.66 34.3%

50 Random 0.98 0.87 55.0% 2.21 0.77 43.2%
D-Optimal 0.92 0.89 58.3% 2.09 0.79 47.2%
A-Optimal 0.79 0.88 57.5% 1.78 0.78 43.9%

bGTrue from uniform between −12.0 and −6.5

20 Random 4.02 0.77 28.1% 9.00 0.65 22.6%
D-optimal 3.83 0.78 30.2% 8.61 0.65 23.7%
A-optimal 1.42 0.85 32.9% 3.19 0.74 24.8%

30 Random 1.66 0.89 38.0% 3.73 0.80 30.2%
D-Optimal 1.36 0.91 41.7% 3.12 0.84 32.3%
A-Optimal 1.08 0.91 41.1% 2.43 0.83 30.7%

50 Random 0.98 0.94 49.0% 2.21 0.89 37.8%
D-Optimal 0.92 0.95 49.4% 2.09 0.91 39.3%
A-Optimal 0.79 0.94 49.0% 1.78 0.90 39.4%
a

GTrue values were generated from a normal distribution with µ = 0 and σ = 1

b

GTrue values were generated from a continuous uniform distribution between −12.0 and −6.5.

c

MSEΔG was analytically derived from equation (3) for optimal designs.

d

Spearman’s rank correlation (ρ) between the ∆GTrue and estimated ΔG values of 20 ligands.

e

Probability of correctly identifying the ligand with the lowest absolute free energy.