Jacob Butterfield stroked home the only goal of the game shortly after the interval for the visitors at Turf Moor while Dyche's side were wasteful in front of goal.
Danny Ings is still searching for the clinical edge he showed before his injury while Dimi Konstantopoulos in the Boro goal was in impressive form.
But Dyche insisted that his troops had not had the rub of the green from man in the middle Dean Whitestone.
"It is a top end performance by our standards, totally dominant, fantastic energy on show and it is incredible the ball didn't end up in their net at some point," said Dyche, whose side need five points from their last four games to be sure of automatic promotion.
"Their keeper is man of the match but the officials weren't man of the match. There were certainly two absolutely blatant decisions not given.
"I have spoken to the referee and it always amazes when they say 'it is in your opinion'. I have looked at it 47 times on my laptop so I don't know how it is (an) opinion, that's what I am flummoxed with.
"But they have a tough job and you expect it to be done in the appropriate manner but I don't think it was today.
"There is that edge of disappointment but I have told the lads that was one of our most thorough displays of the season - we were totally dominant. The stats would have blown the machine up if it was on Sky.
"I think we had 27 chances but sometimes it just doesn't happen and it is an amazing thing football - that is why we love it."
Butterfield's strike and a backs-to-the-wall defensive effort snatched victory for Boro, despite a late red card for Daniel Ayala.
But the victory was overshadowed somewhat by visiting fans who failed to respect the entire minute's silence marking the 25th anniversary of the Hillsborough disaster and displeased boss Aitor Karanka.
"There is a problem with my language so I prefer not to say anything so that I don't make a mistake but I didn't like it because this was an important day for everybody," he said.
"Dimi (Konstantopoulos) was the best player for us today - he has played very well for us in the last few games.
"I am pleased with his performances and for him as when I came he was third or fourth-choice keeper.
"They had a lot of chances today and we were lucky. They had more chances than us and showed what kind of team they are - one of the best in the Championship.
"I didn't see their penalty claims but the most important thing for us is that we have beat them and I am very proud to have these players."