Am I to blame for this game's loss?

http://matchhistory.na.leagueoflegends.com/en/#match-details/NA1/2306208402/222161330?tab=overview

So after the game was over my team was flaming me for not helping in fights and everything, and I'm struggling to see why. I had the highest Kill Participation (Tied with Shyvana and Soraka), Lowest Deaths, Most Damage, Highest CS, Most Gold, etc. I basically did better at everything than the rest of my team, yet I was still blamed for the loss. (I was Twisted Fate)

I'll admit I hesitated to teamfight in the late game, but seeing their team comp, I didn't think it was a good idea. I thought it would be better to try to land picks than straight up fight because even though we had the engage it wasn't exactly reliable as I saw it.

I don't want this to sound arrogant, I'm trash at this game, I know, but I genuinely hesitate to say that I am the reason we lost this game. I know at least 20% of the fault lies with me, but I think I made out pretty decently. I just want to know what I could've done differently.

I don't particularly care about the flaming part. I wasn't part of their premade so I expected it, and the enemy team had very kind things to say to me afterwards about my play. It just bothers me that frankly, I outclassed them in every way and they still turned and blamed me for the loss. Should I just chalk it up to mob mentality or should I have dived into the fights even though I was sure they would not go in our favor?

Note: Ezreal DC'd frequently so we couldn't capitalize on leads as frequently.