My guess would be that anti heroes spend more time in rejecting the call. They don't see themselves as heroic and usually don't think they can make a difference. Sometimes they're usually doing something self-promoting that distracts them from doing the right thing. Look at Han Solo, who is an anti-hero.
1. Ordinary World: he's a pirate in their universe, a smuggler who lives day in and day out exactly the same, running from the law.
2. Call to Adventure: Luke and Obi-Wan hire him for a lot more than any of them bargained for.
3. Refusal of the Call: He blantantly tells Leia he's in it for the money. He spends a long time in this stage, much longer than Luke. The whole second movie he's stuck in a refusal.
4. Meeting With the Mentor: Lando is kind of an anti-mentor to Han. He's not who Han wants to be, and I think he has Chewie for a mentor in the sense that Chewie is his conscience.
5. Crossing the First Threshold: It doesn't look like much, but in the first movie, he saves Luke from being blown up by the Death Star. Keeping in order, he also saves Leia from the Empire and bravely steps in front of her when they meet Darth Vader.
6. Tests, Allies, Enemies: the whole deal with whether or not to trust Lando is a test, gaining an ally or an enemy, and Boba Fett is basically Han's arch enemy.
7. Approach: I still don't know what this is, LovelyOne!!!!!!!!!
8. Supreme Ordeal
9. Reward
10. The Road Back
11. Resurrection
12. Return With the Elixir
I need some help understanding what the last few are. Anyone?