I read this turning dancer article and according to it, it predicts which side of the brain is dominant. Your particular characteristics are attributed to which part of the brain is stronger. This strength is not literal but just point to your predisposition or tendency. This wont be the first thing that you must have read that tells you about your personality. From stars to blood groups to lines in my hand to the sum of digits in my name, everything is supposed to be revealing in this regard. This sounds more scientific. It is not completely wrong though. It is true that specific abilities are centered at specific areas in the brain, for example language is in the left brain and spatial abilities. The diagram below shows the distribution of the abilities.
These things became known when doctors started treating patients with brain damage, especially those with the corpus collosum, a bundle of nerve wires that connect the left and the right half, cut were studied. Patients with severe epilepsy were treated by cutting the communication between the two halves of the brain. The experiment were successful but it revealed strange behavior in those patients. They could see a word but couldn't read it, they could sing but not speak and they couldn't remember their dreams as one half is responsible for having the dream and another for recording it to memory.
Coming back to personality and brain inclination, this got me interested but further research revealed that this was by far not a definitive answer to the question. People use both brain halves for most processing and even in people who have one half of the brain destroyed due to some problem the other half learns to adapt to this loss and compensates for its abilities. The other half can be trained in such people to learn the other half's ability, pointing to the fact the its not just the side of the brain that matters. This sells pretty well as an idea because the sides show that the creative and analytical or the artist and the scientist have different inclinations, how obviously left/right brain isn't it? Not so obvious actually. People typically have the whole spectrum of the creative to analytical abilities. The creative people often use the analytical abilities in their thinking and the analytical also rely on their intuition as much as logic. Both during their thinking processes use both sides of brains. During individual tasks, that are focused through well designed experiments in a lab environment, we do tend to use one area more than other but in general any give task that we do, requires multiple areas of the brain to work in concert.
Still for the sake of fun we indulge in the left brain - right brain thing to explain our personalities. Having left and right hand inclination also has nothing to do with the brains inclination as creativity and analytical abilities are equally distributed among both of them. So which brain are you?