The Toffees had 34 shots on goal to West Brom's five and had 76 per cent of the possession as Salomon Rondon's 14th-minute tap-in gave Tony Pulis' side the victory.
Difficult to explain defeat
Roberto Martinez was left looking for reasons to explain his side's defeat to the media in his post-match press conference, but the Everton boss said that he found it "difficult to explain" the defeat insisting his side "could not have done anymore".
The Spaniard said that he "could not fault" the players' effort and the way they played, but instead he was left rueing a lack of luck using the words "unlucky" and "destiny", believing his side's "dominance deserved a better result".
The defeat was Everton's sixth at home this season, and despite admitting the result was hard to take, Martinez says his side are not far away from turning bad fortune into good fortune.
His side are "full of confidence" after recording back-to-back Premier League wins for the first time this season over Newcastle United and Stoke City and Martinez said that if his side play the way that they played against the Baggies in the next five home games than they will "get the rewards".
Martinez explains substitutions
Martinez's decision to replace Aaron Lennon with Gerard Deulofeu in the 74th minute was met with boos around Goodison Park, but the Spaniard says he was looking to bring on fresh legs to further stretch West Brom down their left-hand side.
The former Wigan Athletic boss said that he thought Lennon was "outstanding", but, with James Chester being played out of position at left-back and Chris Brunt being booked, he wanted to add some "fresh legs" to try and capitalise on the two situations.
Kevin Mirallas would have been left thinking what he has to do to get more game time this season after he was an unused substitute, but Martinez insisted that the Belgian international has been "unfortunate" and will get a chance to stake his claim for regular first-team football at Everton in the not-too-distant future.