Wiltshire and Swindon Coroner David Ridley told the jury at the start of proceedings that the plane had broken flight instruments and one of the issues they would have to consider was whether this contributed to the crash.
"One issue you will have to consider is whether the failure of the instruments contributed to the unsatisfactory forced landing at Dinton airfield," the coroner said.
"Finally, were there any other circumstances that contributed to Alex's death?"
The hearing heard that the married father-of-three, from Marlborough, was pronounced dead at the scene of the crash and was formally identified by dental records.
Fl Lt Parr's widow, Dr Alice Parr, told the inquest in a written statement that her husband had joined the RAF as teenager.
He won a scholarship to read engineering at Cambridge University before becoming an officer upon graduation.
"Alex has been a pilot for over 20 years and was an experienced pilot who flew every week," Dr Parr, a GP, said.
"As a test pilot, it was his role to put new and modified aircraft through manoeuvres designed to test them for strains on the aircraft and to ensure they performed correctly.
"The job he was in at the time of the accident was as an instructor for experienced pilots training to become test pilots during a year-long course.
"Alex was always aware of safety and if there was a risk with an aircraft he would not take it and as a pilot he had nothing to prove or any reason to chase the hours or the flights that he was flying.
"He was methodical and if he recognised there was a problem with an aircraft he would not fly.
"He recognised that flying could be dangerous and he just didn't need to take the risks."
Shortly before his death, Fl Lt Parr had refused to fly a civilian aircraft from Bournemouth to Boscombe Down because there was a problem with one of the instruments, Dr Parr said.
"It illustrates he would not take risks with flying," she said.
"He was a perfectionist and got frustrated when others weren't and he had a strong sense of right and wrong.
"He was passionate about flying and loved it and had recently started flying civilian aircraft at weekends again."
Dr Parr said that in 2015 a close friend had been killed in a plane crash and that an investigation had concluded that his low number of flying hours each year had been a factor.
"Alex explained to me that he was unlikely to have an accident because he was so experienced and flew so much," she said.
"He also told me that a test pilot had not died for about 30 years."