The Giants moved three points clear at the top of the table after an impressive second-half display earned a 30-12 victory at title rivals Wigan.
Even though Warrington still have a game in hand, with three matches against teams outside the top eight to come, the Giants are now favourites for the League Leaders' Shield.
Anderson said: "We have put ourselves in a position now where we can achieve something, but we are also in a position where teams can come and knock us over.
"All we have done all year is focus week in, week out. We will enjoy tonight, have a good weekend off but then regroup Monday and put all our attention into London Broncos.
"We haven't won anything yet. We have got to keep winning week by week. We won't get ahead of ourselves."
The sides were evenly matched in the first half with the Giants responding to tries from Sam Powell and Josh Charnley - his 39th of the season - through Aaron Murphy and Jason Chan.
The visitors pulled away after the break with further scores from Brett Ferres, Scott Grix and Murphy.
Anderson said: "All the things we did defensively and offensively were what we spoke about.
"We have still got some chinks to get out of our system but it was a victory for our attention because we did what we practised."
The game ended scrappily after a scuffle sparked by an Epalahame Lauaki shoulder charge on Giants hooker Shaun Lunt.
Anderson was furious and believes Lauaki should face a ban similar to Catalan Dragons forward Zeb Taia, who was suspended for three games this week for another shoulder offence.
Anderson said: "It's exactly the same except Shaun Lunt got up. It is a late shot on a ball-player.
"I felt the officials should have dealt with that differently.
"In my eyes that is a three-match ban, and the Catalan chairman will probably agree with me."
A ban of that length would rule Lauaki out of the Challenge Cup final in a fortnight but Wigan coach Shaun Wane did not want to think about that.
He said: "That doesn't worry me but if I find out his technique is poor I will be into him about it. I will see what the disciplinary say about it."
Having led the table for a large part of the season, Wigan could now find themselves third by the end of the weekend.
Wane insisted reaching the cup final was not a distraction.
He said: "Going to Wembley has not taken our eye off the ball.
"We were not that far off today, it is not a crisis. We are playing some good stuff.
"This was one v two. If it was one v eight I would understand the crisis comment.
"We were beaten by the better team and we just need to learn from it.
"We had a few players missing but I was still confident we could have won today.
"We had spells in the first half where we could have scored a few tries but we didn't convert them.
"At the end of the day they played better than us, they deserved to win."