The 40-year-old Dees number one had a fine match, brilliantly saving a Scott Brown penalty in the 38th minute only to be beaten just before the break when Hooper hammered in from 10 yards.
Wanyama fired in from distance after four minutes of the second-half and when the one-side match was over, the only conclusion available was that Douglas's performance had prevented the scoreline reflecting Celtic's superiority.
Ross County's 40-match unbeaten run came to an end against 10-man St Johnstone.
Liam Craig gave Saints the lead against the run of play on the half hour mark and the Perth side went a player down a couple of minutes later when Rowan Vine was sent off for an off the ball incident with Richard Brittain.
County piled on the pressure in the second half and Sam Morrow hit a deserved equaliser in the 68th minute. But with County pushing for a winner Saints grabbed a vital second in the 85th minute when Frazer Wright headed home following a corner.
Hibernian blew their chance to go top of the SPL as they surrendered a two-goal lead to draw with Inverness.
Eoin Doyle's opener and a terrific strike from David Wotherspoon had given the home side a comfortable advantage. However, Conor Pepper pulled one back before Richie Foran grabbed a late equaliser.
Inverness remain without a league win this season, but they had cause to be happy with a point from contest that should have been over by half-time.
Callum Paterson netted his first career goals as John McGlynn's decision to transform the teenager into a striker was rewarded with Hearts' first win since the opening day of the SPL season as they beat Dundee United 3-0.
The 17-year-old fired Hearts into a 28th-minute lead with a powerful strike from 20 yards and showed a goalscorer's instinct to net the third after a casual passback by Sean Dillon.
Arvydas Novikovas had struck three minutes after Paterson's opener with a swerving long-range effort as Hearts bounced back from consecutive defeats by Dundee and St Mirren.
Cillian Sheridan scored his first goal for Kilmarnock as they defeated St Mirren 3-1 at Rugby Park.
Sheridan opened the scoring when he glanced home Danny Racchi's pin-point delivery after 26 minutes and James Fowler doubled the hosts' lead 12 minutes into the second half.
A wonderful individual effort from James Dayton on the hour mark added to St Mirren's misery, and despite Paul McGowan's deflected consolation the hosts held on to claim their second win of the season.