West Ham United have now gone seven games without a win since beating Chelsea at the end of October to go third in the table.
Injuries to Dimitri Payet, Diafra Sakho and Manuel Lanzini have blunted their attacking edge and Andy Carroll was also absent at Swansea after suffering a midweek groin injury.
"We created more than enough chances to score at Old Trafford a couple of weeks ago, last week at Stoke we had the most shots in the round of fixtures and here we had a few situations," West Ham manager Slaven Bilic said.
"But the quality in the last third is a big question mark, although I praise the players for their performance.
"We were very resilient and stubborn in a positive way, we defended very well and I thought we deserved a point.
"We were really hit with injuries four or five weeks ago, especially up front, and I said the only way we were going to compensate was with the team performances in these games.
"It's a very good cornerstone what we have done and when these players come back in the next week or two it makes us very positive."
On the penalty incident surrounding the Collins handball, Bilic added: "He tried to make a block on a shot that was 100 miles per hour.
"So I would have to guess or lie to say something on that. I don't know."
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