Danny Wilson, Rob Kiernan and Tottenham Hotspur-owned Dominic Ball started the Scottish Championship game at Easter Road.
“The thinking was Hibs would try and stop us getting started,” Warburton told The Scottish Sun. “We wanted to keep the ball. So we played three and it worked.
“We were happy with the way we got out and got started and played through the thirds. The possession stats tell you that.”
Rangers lost the game 2-1, their first defeat of the 2015-16 Scottish Championship campaign.
Jason Cummings put hosts Hibernian in the lead after just 11 minutes, but Darren McGregor deflected in Lee Wallace's shot two minutes into the second half to make it 1-1.
Wallace and Rangers substitute Nathan Oduwa, on loan from Tottenham, hit the woodwork before Paul Hanlon headed in a 73rd-minute winner for Hibs.
Over the course of the 90 minutes at Easter Road, the Gers had 59% of the possession, took 11 shots of which just two were on target, and earned five corners.
Rangers remain at the top of the Scottish Championship table despite Sunday’s loss, five points clear of second-place Hibernian.