The situation:
What are the differences between Greater weapon focus & Improved critical feats? The examples use an 8th level fighter with a +2 longsword (50/20 magic item rule), 17 str, weapon focus/specialization & gauntlets of ogre str+2 (ab+15/+10 vs AC20).
Greater WF
11.6875 = 0.85{12.5[1.1]}
8.25 = 0.60{12.5[1.1]}
19.9375
Imp crit
12 = 0.80{12.5[1.2]}
8.25 = 0.55{12.5[1.2]}
20.25
As usual I'll do the +5 AC example too (AC25)
Greater WF
8.25 = 0.60{12.5[1.1]}
4.8125 = 0.35{12.5[1.1]}
13.0625
Imp crit
8.25 = 0.55{12.5[1.2]}
4.5 = 0.30{12.5[1.2]}
12.75
As usual, Gwf just like Wf gets better as the target AC climbs & this is more important with the weaker iterative attacks. Character builds not focussed around unleashing full attacks may seriously need to look closely at Imp crit (I'm thinking shot on the run, spring attack & rideby attack).
The next issue that springs to mind is that if the Fighter takes Imp crit at level 8 they will have to wait to level 10 to get the next fighter bonus feat, while the Gwf choice only has to wait until level 9.
Anything else I've missed?