Allardyce lauded his players for implementing his tactics in a result he believes was on a par with the 3-0 win at Tottenham earlier in the season.
The Hammers boss added: "This one probably equals (Tottenham) because of the position we're in and the problems we've had recently.
"It was all about frustrating a team that's got world-class players and not to come here and lie down.
"Tactically we got it right in two areas particularly: one was in stopping (Eden) Hazard, Oscar and Willian and (Samuel) Eto'o scoring goals; and the other one was stopping them scoring from set plays. We did a fantastic job."
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