Everyone has there own opinions. Every dog is different so you'll have to adjust your training method according to each dog. I'm not saying you have to have a training collar on them. Keep her on a leash with a normal collar. As for establishing alpha there are many tricks. When opening a door for the house, or car don't let Jo be the first one out or in the door. Make her wait until you give her the ok. Don't allow her to pull on the leash when you take her for a walk, this is a sign that your dog is trying to establish they are the alpha. When you put down her food dish make her wait until you give her the ok. While she is eating take her food away and then give it back. You are telling her that I gave you the food and I can take it back too. If she doesn't have a problem with that...good. Do let her have her way all the time. If she is more or less telling you what to do for her then that is another sign that she is the alpha. Does she listen to anyone else in the family? Speak and a firm deep voice and lots of eye contact.
Does she sleep in a kennel at night? If she does then when she barks and doesn't listen put her in there. Giving her some time in her kennel during the day (1-2 hours) even though she hasn't done anything is good too. This way when she does come out she will be more intent on spending time with you then looking out the windows and wanting to bark.
Take in all the info you have received from everyone and adjust it to your dog. Not all dogs are the same, some dogs need less corrections and some need more. Do try to keep things positive.