The Hammers' manager was left feeling disappointed at his side's failure to convert several chances into goals, the stalemate proving little reward after a dominant display
The Hammers fell behind to a Loic Remy goal on his debut for QPR after he beat the offside trap to open the scoring, but a goal from Joe Cole midway through the second period got West Ham back in the contest. They had chances aplenty to go on and win the game, but to Allardyce's bemusement they couldn't make them count.
"It's not just the stats, but if you had watched the game with the naked eye, whether you are a West Ham fan, a manager or a coach, you would have watched the game and said 'Wow! What a performance and what a complete domination of the opposition'," he told West Ham TV.
"But unfortunately, however brilliant your stats are against the opposition's stats, the bottom line stat reads 'West Ham 1 QPR 1' and that's the most important one."
"In the end, I am as frustrated as anybody else that we didn't record a very comfortable victory. Because it hasn't brought that comfortable victory, it's a big disappointment for us all and we're all massively frustrated and, may I say, none more so than the players. You hear all this stuff about players getting this or that much money and it not meaning that much to them, but it's the biggest load of rubbish."
A solitary point against the Premier League's bottom club leaves the Hammers 12th in the table, nine points clear of the relegation zone, and Allardyce conceded that, although he was frustrated at the result, there were plusses to take from the match.
"We just have to take the massive positives out of this game, which is over-running a team and the only thing we didn't over-run them by was a victory that should have been, in my assessment, about 4-1," he said.
"We had ten shots on target, ten or more off-target and 46 crosses, it just never stopped, but only one goal, which I have to say isn't good enough. We must be as dominant as that but we must come off with a victory at the end of it and not come off disappointed like we have against QPR."
Allardyce was critical of his defence for the opening goal, after the back line failed to catch Remy offside - something they had worked against on the training ground in the days leading up to the game.
"Winston Reid and James Tomkins just did exactly what I told them not to do, switched off, got caught watching the ball and got too tight to Remy and tried to play an offside that was never going to work. In the end, the lad tucked it away well and left us one behind."
The manager was pleased with the team's response after that early set-back, though, and in the end had to settle for the point despite the one-way traffic in the second half.
"We knew we didn't deserve it but it happens and we knew we had to fight back from that. Particularly in the second half, from a footbal point of view, there couldn't have been any more action in the box. Sadly, ultimately we should have put the ball in the net more often than we did," he continued.
"In the end, we got the goal and I thought we had plenty of time to go on and win it, but unfortunately we didn't get the winner. I have to say there was a huge element of bad luck in what happened to us in that the ball didn't bounce for us or it has beaten the defender and hit the defender when he didn't know much about it.
"There was one stage when we had four or five shots at once and they didn't go in. We could have still been doing that at 7pm and not scored again."