GROMACS version: 2019.3
GROMACS modification: No
Here post your question:
I calculated the solvation free energy for my system with an equispaced lambda value =0.1.
The error estimate is determined from the average variance over 5 blocks as stated in the documentation: gmx bar — GROMACS 2018 documentation.
However, I would like to understand how is the error in each step propagated to the final error DG 31.37 +/-  0.54.  When I use the formula for standard propagation-of-independent-errors, I got +/- 0.416.  I would like to figure this out because I will insert more points between point 0 and point 1 to get stable results. Any suggestions is much appreciated!
                  |free energy evert step||error estimate|
point      0 -      1,   DG  6.66 +/-  0.36
point      1 -      2,   DG  5.37 +/-  0.15
point      2 -      3,   DG  4.72 +/-  0.08
point      3 -      4,   DG  3.86 +/-  0.06
point      4 -      5,   DG  3.27 +/-  0.06
point      5 -      6,   DG  2.68 +/-  0.07
point      6 -      7,   DG  2.06 +/-  0.03
point      7 -      8,   DG  1.51 +/-  0.02
point      8 -      9,   DG  0.91 +/-  0.01
point      9 -     10,   DG  0.32 +/-  0.03
total 0 - 10, DG 31.37 +/- 0.54