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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 2:

Analytically derived and simulated metrics for different designs.

Pairs Design MSEΔG MSEΔΔGb MSEΔΔGAllc Median ρ d Accuracye
20 Random* 4.08 0.95 3.79 0.60 (0.38–0.77) 30.5%
D-optimal 3.83 0.95 3.50 0.60 (0.38–0.77) 31.5%
A-optimal 1.42 0.95 1.83 0.70 (0.54–0.82) 35.3%

30 Random* 1.66 0.63 1.33 0.77 (0.62–0.87) 40.9%
D-optimal 1.36 0.63 0.91 0.81 (0.68–0.88) 49.2%
A-optimal 1.08 0.63 1.10 0.79 (0.67–0.88) 45.3%

50 Random* 0.98 0.38 0.54 0.87 (0.78–0.92) 55.0%
D-optimal 0.92 0.38 0.44 0.89 (0.80–0.93) 58.3%
A-optimal 0.79 0.38 0.50 0.88 (0.79–0.93) 57.5%
*

The averages across 5,000 different randomly selected designs.

a

MSEΔG was analytically derived from equation (3).

b

MSEΔΔG was analytically derived from equation (3) and includes only pairwise differences with corresponding FEP values.

c

MSEΔΔGAll was analytically derived from equation (3) and includes all NC2 = 190 possible pairwise differences.

d

Spearman’s rank correlation (ρ) between the ∆GTrue and estimated ΔG values of 20 ligands with the 15th and 85th quantiles in parenthesis.

e

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