N.W.
If you're ignoring him and he's doing it louder and more frequently then ignoring him is WORKING!
Kids will "turn up the drama" until they reach some kind of effect. So if you ignore him he will HAVE to turn up the drama in order to create an effect.
However, ignoring him isn't always the answer.
Sometimes we are in such a hurry that we just boss our little ones around with a "do this, do that." I'm guilty myself! With some kids' personalities that doesn't phase them, those "go with the flow" kind of kids are OK with that. But the stronger personality ones just dig in their heels and are like a stubborn donkey!
A few things have worked for me.
1. I try to allot plenty of time for things that I know will take a while to get them to do. Part of the problem is I'm trying to get a child to do something quickly (on my schedule) and when they refuse I just go into "tyrant" mode and demand they do it. This just makes things worse.
2. I give choices, but MY choices. If they say "no" then I say "no is not a choice. Do you want to wear the red or blue shirt?" I keep repeating it calmly until they make a choice.
3. It's not always possible, but when possible I try to make things into a game. I'll say "let's see who can put their coat on the fastest, you or mommy! The winner gets kisses!" I don't say "get your coat on we're leaving."
4. What really sets my stepdaughter off is if she's in the middle of something and she's called away to do something else. I REALLY had to work on this one. I had to plan ahead and help her finish what she was doing. So if she was playing and it was going to be dinner time, I'll go in and say "it's dinner soon, finish what you're doing and clean up." Sometimes I have to help her finish what she's doing, but THAT has made a HUGE difference! Helping her end cycle on what she was doing makes her very willing to go onto what I need her to do. That also means no letting her start something when I know she doesn't have much time. Two-year olds HATE being stopped when they are in the middle of something, try stopping a two-year old on a mission!
When I'm working with two-year olds I use a combination of ignoring (always works, but you have to wait while they turn up the drama. It WILL stop if you wait) making things into games, getting in to communication with the child (what are you doing? Wow! Playing trains! How fun! How about we push the trains home and eat some lunch?) and good, unemotional direction.
"Sit down"
"I don't want to!"
"I understand you don't want to. Sit down."
"I don't want to!"
"I got it. Sit down."
"I don't WANNAAAAAAAAAA!"
Walk over. Put their body in the chair. "thank you."
You keep putting their body in the chair. You do it over and over. They may laugh, they may freak out, you just unemotionally do it. Over and over. No threats, no punishment. Just keep doing it. Maybe 100 times. You have to have patience, but eventually they will sit!
Good luck!
Edited to add:
I forgot to mention the "deliberately misunderstanding them" tactic. If I say "go clean your room" and my stepdaughter says "no" sometimes I'll diffuse it with "Oh you want a broom?" and she'll say "No! I don't want to clean my room!" and I'll say "Oh, you don't want spoon. How about a tickle instead?" Sometimes just diffusing the "no" works, we all end up laughing and she'll go clean her room.