"It's not just the saves he made but the timing of them," Florida coach Pete DeBoer said.
Anderson got the start after making 45 saves Sunday night in a 3-1 victory in Anaheim that snapped a six-game losing streak.
"Anderson deserves to start again," DeBoer said. "He had a couple of outstanding games, and it's about winning hockey games. We all know what Tomas is capable of. This isn't about him or competition or who's the starter. We need wins right now, and Anderson's hot."
Mike Smith made 27 saves for Tampa Bay. With the loss, the Lightning closed out a five-game trip with a 1-3-1 record.
"Obviously, it's not good to have a loss like that," Tampa Bay forward Martin St. Louis said. "We've got to grind it out and get that first goal. We've just got to grind it out more."
Tampa Bay, which went 0-for-5 on the power play, has scored six goals in its last four games.
"I thought our first period was good, but we could play here all day if we don t score a goal," Lightning coach Barry Melrose said. "We've got to manufacture goals somehow."
Anderson, who last season became the first NHL goalie to record back-to-back shutouts on the road, had his fifth career shutout.
"If you start thinking about it, it starts to get a little difficult," Anderson said. "You don't want to make that silly mistake that really costs you the shutout. The best way to play is to not really think about it and worry about the win."
Anderson got a break when Radim Vrbata's wrist shot from a sharp angle in the second period bounced off the post.
Anderson faced only four shots in the first period, but two of them were one-timers from close range.
"We were ready to play tonight," Tampa Bay's Vaclav Prospal said. "We had two, three good scoring chances in the first period and their goalie made key saves on them. If he didn't, it could have been a different story."
Florida came in with the worst power play in the NHL but scored twice in four chances in the second period. The Panthers finished 2-for-6 with the man advantage.
Horton extended Florida's lead 1:28 into the period after he stopped Mike Lundin's clearing attempt along the boards. Horton skated toward the center of the ice and beat Smith with a wrist shot to the blocker side.
Campbell scored at 10:25 when he tipped Bouwmeester's wrist shot from the point.
"We were bound to break out, Campbell said. "I don't think anybody likes to be 30th, last in the league. It was only a matter of time before we got some goals with the guys that we have on this team."
Campbell added his second goal of the game and of the season at 16:28 of the third when he put home his own rebound.
McCabe, who missed 10 games earlier this season because of a back injury, opened the scoring at 16:32 of the first period with his first goal in a Florida uniform. After Campbell's centering pass was deflected toward the blue line, McCabe one-timed a slap shot over Smith's left shoulder.
"We're just building on what we got going on in Anaheim the other day," McCabe said. "We're got a long way to go before we get to .500 here. But we keep playing like this, we're going in the right direction, for sure."
Horton sat out the third period after experiencing flu symptoms during the second intermission. ... Florida improved to 11-2 at home against Tampa Bay since the start of the 2005-06 season. ... Tampa Bay has scored one first-period goal in its last six games. ... Florida placed center Kamil Kreps on the injured list, retroactive to Nov. 6, and recalled goalie Tyler Plante from AHL Rochester. Kreps, who sustained a concussion in a loss at Los Angeles, is eligible to return Friday night when the Panthers face Detroit. ... Florida left winger Cory Stillman returned wearing a visor after missing three games because of a concussion. ... Tampa Bay right winger Evgeny Artyukhin returned after missing two games because of a lower-body injury.