Nimble Escape should give the goblin a higher Challenge Rating than what is shown in its stat block but in the end, the goblin was knocked down to CR 1/4, as if ignoring Nimble Escape perhaps due to playtesting as mentioned in this answer by Dale M.
Meanwhile, a Goblin Boss, the only other creature with Nimble Escape in the MM does not get the buff of Nimble Escape because a Goblin Boss isn't designed to hide each round as per the DMG's instruction to handling a creature with Nimble Escape:
Increase the monster's effective AC and effective attack bonus by 4 (assuming the monster hides every round)
I found this confusing at first, I thought this meant that a creature with Nimble Escape should be assumed to hide each round. Now, comparing it to the Breath Weapon ability which says:
... assume the breath weapon hits two targets...
I realized that the latter is a clear instruction on computing the DPR of a Breath Weapon, while the former meant to say "add 4 if the monster is designed to hide every round". This brings us back to the Goblin Boss example, the Goblin Boss should have a CR of 3 with Nimble Escape but it doesn't because, as I said earlier, it wasn't designed to hide each round. Having redirect attack, a Goblin Boss is meant to be the abusive front liner who bullies other Goblins into taking hits for him.
As with the Goblin Boss, the effect of Nimble Escape all boils down to synergy. For example, if a low-dex monster with no stealth bonus is given nimble escape, it would likely have no effect on CR either.
It is unfortunate that the only creatures in the Monster Manual with Nimble Escape seemingly have not received the benefit(or if they have, it still didn't do much), so the only thing to do here is play-test, play-test, play-test. As far as calculations go, I can give a creature +4 if it has synergy, but with this tricky little ability, a lot of play-testing is needed.