Temperament testing is a relative term, and loosely used and abused by many shelters across the country.
I have very little faith in the old fake hand test, as dogs in shelters are usually stressed, starving, and terrified. If I was in that condition, I might bite a hand or two myself.
I have two examples for you, from two different shelters.
The first is a 1 1/2 year old Australian Cattle Dog, in a 90 day kill shelter in Chicago. She passed all the temperament tests and was referred to as having "an unusually calm manner" and "very nice manners".
Of course the idiots at the shelter first posted her on Petfinder as a pit mix, then as an Aussie mix.
The person who adopted her took her dog with her to meet this dog, to make sure they would get along. The man who did that temperament test watched them together in a room, both on leashes, for 5 minutes, then said they were okay.
This dog was so shut down she had no personality at all. he had 15 days left before she died.
In the first few weeks the dog was in the new home, she bit three people, one of them badly enough to warrant a hospital visit. She was fear aggressive, and needed extensive training to be rehabilitated.
The second example is of a little Minpin puppy, taken in as a stray at a local animal control facility. This little boy couldn't have been more than a year old, and weighed in at about 7 pounds.
The facility called in Minpin rescue, as the dog was deemed "aggressive" by the temperament tester (a VET), and he would be euthanized if he was not pulled.
When the volunteer showed up at the facility, five people watched her walk into the HUGE dog run this poor little guy was locked in. He was cowering in the corner.
After letting the dog sniff her hand, and a few pets, she picked him up with no trouble and put him in a crate to take him.
When she asked why he was deemed "dangerous" she was told that he growled at them and showed teeth. Heavens! What a vicious dog!
Of course I couldn't burst out laughing until I left the building.
When you have worked in rescue and done your OWN temperament testing on dogs that you pull from these ridiculous government-funded places, you may learn something different than what you think now.
And those two very different dogs?
One of them, the Cattle Dog, was pulled and adopted by me and is working on getting into sheep herding. She is also working on her CGC.
The other was adopted by a family with children, and is living a wonderful life as a nice family dog. He has never bitten anyone.