It typically takes 4-6 months for a puppy to be fully house trained, but some puppies may take up to a year. Size can be a predictor. For instance, smaller breeds have smaller bladders and higher metabolisms and require more frequent trips outside. Your puppy's previous living conditions are another predictor. You may find that you need to help your puppy break old habits in order to establish more desirable ones.
Researchers have described several reasons why the dominance model is a poor choice for dog training. First, a relationship based on dominance is established to gain priority access to scarce resources, not to impose particular behaviors on the less dominant animal, so the dominance model is irrelevant for most of the behaviors that people want from their dogs, such as coming when called or walking calmly on a leash. Second dominance-submission relationships, once established, are constantly tested and must be regularly reinforced. Thus people, particularly children and the elderly, may not be able to retain their rank and are at risk of being injured if they attempt to do so. Third, dominant individuals gain priority access to resources, but only while they are present, establishing dominance over a dog does not guarantee its behavior when the dominant individual is distant or absent.
Typical positive reinforcement events will satisfy some physiological or psychological need, so it can be food, a game, or a demonstration of affection. Different dogs will find different things reinforcing. Negative reinforcement occurs when a dog discovers that a particular response ends the presentation of an aversive stimulus. An aversive is anything that the dog does not like, such as verbal admonishment, or a tightened choke chain.
Unless you plan to keep your dog outdoors--and few of us do because it's not recommended--you'll need to teach your dog where to eliminate. Therefore, house training (also called housebreaking or potty training) is one of the first things you need to work on with your dog. Crate training can be a very helpful part of the training process. This includes house training as well as many other areas of training: