(msnbc) A new study shows that children with attention deficit hyperactivity disorder are almost four times as likely as others to be bullies. And, in an intriguing corollary, the children with ADHD symptoms were almost 10 times as likely as others to have been regular targets of bullies prior to the onset of those symptoms, according to the report in the February issue of the journal Developmental Medicine & Child Neurology. The study followed 577 children — the entire population of fourth graders from a municipality near Stockholm — for a year. The researchers interviewed parents, teachers and children to determine which kids were likely to have ADHD. Children showing signs of the disorder were then seen by a child neurologist for diagnosis. The researchers also asked the kids about bullying. The results underscore the importance of observing how kids with ADHD symptoms interact with their peers, says study co-author Dr. Anders Hjern, a professor in pediatric epidemiology at the University of Uppsala in Stockholm. These kids might be making life miserable for their fellow students. Or it might turn out that the attention problems they’re exhibiting could be related to the stress of being bullied.