Allardyce also claimed that his side should have been awarded two penalties in the opening 15 minutes, and bemoaned the dismissal of Matt Taylor.
"I'm disappointed Matt Taylor raised his hands, but it's in his chest, not his face, and they tell me the rules say that's a booking, not a red. [Billy] Sharp held his face and rolled on the floor which tells the assistant referee he has hit him in the face," Allardyce told Sky Sports News.
"I'm also disappointed we should have had two penalties. I've looked at them four times, and the second one is a sending-off as well as a penalty."
West Ham remain top of the Championship table.