On-loan midfielder Steven Pienaar's early strike gave hosts Everton the lead just five minutes into the English Premier League match, and Denis Stracqualursi added a second to make sure of all three points with 19 minutes to go.

Moyes felt Everton impressed in all departments during the contest, but still have room to grow during the rest of the season.

"That was a great result for us and good parts of the performance as well," he said.

"The strange thing is I think we can play a lot better.

"I think we'll play better once we get a bit of confidence and the wins take us along. A great result to beat Chelsea, we got off to a great start with the early goal and it gave us something to hang on to."

"We started well the first 15 minutes or so but I thought they grew into the game.

"We had to ride our luck a bit on a couple of occasions but I thought the second half we didn't look as if we were going to concede. We defended brilliantly well."

Chelsea manager Andre Villas-Boas labelled the defeat his team's worst display of the season, and is keen to see improvement ahead of FA Cup and Champions League fixtures against Birmingham and Napoli respectively.

"I think today was one of our worst games of the season," Villas-Boas said.

"I think the worst in every sense of the word. Everton were fantastic today I think, growing up from what they have been doing, also the signings have helped them improve a lot.

"In our performance today we aren't sure of anything positive."

"It's a difficult day for us a lot of negatives to take out from this game and a lot of things to improve bearing in mind the FA Cup and Champions League."