I don't think I've been chased by dog the last 8 years here, if you don't count them chasing you behind a fence, that is.
When I was a kid, I use to just pull my feet up and coast awhile. I think the dog breeds are somewhat more likely to be dangerous now though.
Fortunately perhaps, I've not encountered a husky muscular fighting type dog with a temper on the loose, to see if they are more determined to follow and take you down than the dogs of my childhood. As I recall, I was never bitten on my bicycle with method: pedal fast, put your legs up, and dog gives up eventually.
I think the worst thing that happened as an adult was riding a motorcyle I had at the time at about 40mph, and have two medium size dogs suddenly converge on my cycle from opposite sides of the road. They didn't get me, I didn't wreck, but they scared the crap out of me to say the least.