Because studies have shown that A.D.H.D. can run in families, drug companies use the children’s market to grow the adult one. A pamphlet published in 2008 by Janssen, Concerta’s manufacturer — headlined “Like Parent, Like Child?” — claimed that “A.D.H.D. is a highly heritable disorder” despite studies showing that the vast majority of parents of A.D.H.D. children do not qualify for a diagnosis themselves.

A current Shire manual for therapists illustrates the genetic issue with a family tree: three grandparents with the disorder, all six of their children with it, and seven of eight grandchildren, too.

Insurance plans, increasingly reluctant to pay for specialists like psychiatrists, are leaving many A.D.H.D. evaluations to primary-care physicians with little to no training in the disorder. If those doctors choose to learn about the diagnostic process, they can turn to web-based continuing-education courses, programs often subsidized by drug companies.

A recent course titled “Unmasking A.D.H.D. in Adults,” on the website Medscape and sponsored by Shire, featured an instructional video of a primary-care physician listening to a college professor detail his work-related sleep problems. After three minutes he described some attention issues he had as a child, then revealed that his son was recently found to have the disorder and was thriving in college on medication.

Six minutes into their encounter, the doctor said: “If you have A.D.H.D., which I believe you do, family members often respond well to similar medications. Would you consider giving that a try?”

The psychiatrist who oversaw the course, Dr. David Goodman of Johns Hopkins and the Adult Attention Deficit Disorder Center of Maryland, said that he was paid several thousand dollars to oversee the course by Medscape, not Shire directly, and that such income did not influence his decisions with patients. But as he reviewed the video in September, Dr. Goodman reconsidered its message to untrained doctors about how quickly the disorder can be assessed and said, “That was not an acceptable way to evaluate and conclude that the patient has A.D.H.D.”

A Shire spokeswoman declined to comment on the video and the company’s sponsorship of it.

Mr. Casola said Shire remains committed to raising awareness of A.D.H.D. Shire spent $1 million in the first three quarters of 2013, according to company documents, to support A.D.H.D. conferences to educate doctors. One this autumn found J. Russell Ramsay, a psychologist at the University of Pennsylvania’s medical school, who also serves as a consultant and speaker for Shire, reading aloud one of his slides to the audience: “A.D.H.D. – It’s Everywhere You Want to Be.”

“We are a commercial organization trying to bring health care treatments to patients,” Mr. Casola said. “I think, on balance, we are helping people.”